Properties

Label 483.2.bf.a.61.21
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.21
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.654792 + 0.514934i) q^{2} +(0.814576 + 0.580057i) q^{3} +(-0.307922 - 1.26927i) q^{4} +(2.89082 - 0.557160i) q^{5} +(0.234687 + 0.799270i) q^{6} +(-0.647767 + 2.56523i) q^{7} +(1.14406 - 2.50514i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(0.654792 + 0.514934i) q^{2} +(0.814576 + 0.580057i) q^{3} +(-0.307922 - 1.26927i) q^{4} +(2.89082 - 0.557160i) q^{5} +(0.234687 + 0.799270i) q^{6} +(-0.647767 + 2.56523i) q^{7} +(1.14406 - 2.50514i) q^{8} +(0.327068 + 0.945001i) q^{9} +(2.17979 + 1.12376i) q^{10} +(-0.0363377 - 0.0462071i) q^{11} +(0.485424 - 1.21253i) q^{12} +(0.922722 + 1.43578i) q^{13} +(-1.74508 + 1.34613i) q^{14} +(2.67798 + 1.22299i) q^{15} +(-0.282693 + 0.145738i) q^{16} +(-3.00012 - 2.86061i) q^{17} +(-0.272452 + 0.787198i) q^{18} +(3.24652 - 3.09555i) q^{19} +(-1.59734 - 3.49768i) q^{20} +(-2.01563 + 1.71383i) q^{21} -0.0489676i q^{22} +(2.37631 + 4.16571i) q^{23} +(2.38505 - 1.37701i) q^{24} +(3.40457 - 1.36299i) q^{25} +(-0.135143 + 1.41528i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(3.45544 + 0.0323020i) q^{28} +(3.59731 - 1.05627i) q^{29} +(1.12376 + 2.17979i) q^{30} +(-0.361480 - 3.78559i) q^{31} +(-5.66864 - 1.09254i) q^{32} +(-0.00279704 - 0.0587172i) q^{33} +(-0.491430 - 3.41797i) q^{34} +(-0.443335 + 7.77652i) q^{35} +(1.09875 - 0.706125i) q^{36} +(-6.60378 + 2.28559i) q^{37} +(3.71980 - 0.355198i) q^{38} +(-0.0812090 + 1.70479i) q^{39} +(1.91151 - 7.87933i) q^{40} +(-5.33448 + 4.62235i) q^{41} +(-2.20233 + 0.0842847i) q^{42} +(-0.791856 + 0.361628i) q^{43} +(-0.0474603 + 0.0603507i) q^{44} +(1.47201 + 2.54960i) q^{45} +(-0.589076 + 3.95132i) q^{46} +(4.26603 + 2.46299i) q^{47} +(-0.314812 - 0.0452631i) q^{48} +(-6.16080 - 3.32334i) q^{49} +(2.93114 + 0.860660i) q^{50} +(-0.784510 - 4.07042i) q^{51} +(1.53827 - 1.61330i) q^{52} +(-2.27517 - 0.108380i) q^{53} +(-0.678552 + 0.483195i) q^{54} +(-0.130791 - 0.113331i) q^{55} +(5.68517 + 4.55752i) q^{56} +(4.44013 - 0.638394i) q^{57} +(2.89940 + 1.16074i) q^{58} +(-4.34574 + 8.42956i) q^{59} +(0.727701 - 3.77567i) q^{60} +(-3.03777 - 4.26596i) q^{61} +(1.71264 - 2.66492i) q^{62} +(-2.63601 + 0.226864i) q^{63} +(-2.73264 - 3.15364i) q^{64} +(3.46738 + 3.63649i) q^{65} +(0.0284040 - 0.0398878i) q^{66} +(-1.08353 - 2.70652i) q^{67} +(-2.70709 + 4.68882i) q^{68} +(-0.480662 + 4.77168i) q^{69} +(-4.29469 + 4.86372i) q^{70} +(0.389889 - 2.71173i) q^{71} +(2.74154 + 0.261786i) q^{72} +(-16.5969 + 4.02635i) q^{73} +(-5.50103 - 1.90393i) q^{74} +(3.56389 + 0.864591i) q^{75} +(-4.92877 - 3.16753i) q^{76} +(0.142070 - 0.0632830i) q^{77} +(-0.931028 + 1.07446i) q^{78} +(13.0965 - 0.623864i) q^{79} +(-0.736015 + 0.578809i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-5.87318 + 0.279774i) q^{82} +(-0.139102 + 0.160532i) q^{83} +(2.79598 + 2.03066i) q^{84} +(-10.2666 - 6.59796i) q^{85} +(-0.704716 - 0.170962i) q^{86} +(3.54298 + 1.22624i) q^{87} +(-0.157328 + 0.0381673i) q^{88} +(-2.36628 - 0.225952i) q^{89} +(-0.349014 + 2.42745i) q^{90} +(-4.28082 + 1.43694i) q^{91} +(4.55570 - 4.29890i) q^{92} +(1.90141 - 3.29333i) q^{93} +(1.52508 + 3.80947i) q^{94} +(7.66038 - 10.7575i) q^{95} +(-3.98380 - 4.17809i) q^{96} +(-5.18709 - 5.98622i) q^{97} +(-2.32274 - 5.34850i) q^{98} +(0.0317809 - 0.0494520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.654792 + 0.514934i 0.463008 + 0.364114i 0.822246 0.569132i \(-0.192721\pi\)
−0.359238 + 0.933246i \(0.616963\pi\)
\(3\) 0.814576 + 0.580057i 0.470296 + 0.334896i
\(4\) −0.307922 1.26927i −0.153961 0.634636i
\(5\) 2.89082 0.557160i 1.29281 0.249169i 0.503948 0.863734i \(-0.331880\pi\)
0.788866 + 0.614565i \(0.210668\pi\)
\(6\) 0.234687 + 0.799270i 0.0958105 + 0.326301i
\(7\) −0.647767 + 2.56523i −0.244833 + 0.969565i
\(8\) 1.14406 2.50514i 0.404486 0.885701i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 2.17979 + 1.12376i 0.689309 + 0.355364i
\(11\) −0.0363377 0.0462071i −0.0109562 0.0139320i 0.780544 0.625101i \(-0.214942\pi\)
−0.791500 + 0.611169i \(0.790700\pi\)
\(12\) 0.485424 1.21253i 0.140130 0.350028i
\(13\) 0.922722 + 1.43578i 0.255917 + 0.398215i 0.945310 0.326173i \(-0.105759\pi\)
−0.689393 + 0.724387i \(0.742123\pi\)
\(14\) −1.74508 + 1.34613i −0.466392 + 0.359770i
\(15\) 2.67798 + 1.22299i 0.691451 + 0.315775i
\(16\) −0.282693 + 0.145738i −0.0706733 + 0.0364346i
\(17\) −3.00012 2.86061i −0.727636 0.693799i 0.232730 0.972541i \(-0.425234\pi\)
−0.960366 + 0.278742i \(0.910083\pi\)
\(18\) −0.272452 + 0.787198i −0.0642175 + 0.185544i
\(19\) 3.24652 3.09555i 0.744802 0.710167i −0.219312 0.975655i \(-0.570381\pi\)
0.964114 + 0.265488i \(0.0855329\pi\)
\(20\) −1.59734 3.49768i −0.357175 0.782105i
\(21\) −2.01563 + 1.71383i −0.439847 + 0.373989i
\(22\) 0.0489676i 0.0104399i
\(23\) 2.37631 + 4.16571i 0.495495 + 0.868611i
\(24\) 2.38505 1.37701i 0.486846 0.281080i
\(25\) 3.40457 1.36299i 0.680915 0.272597i
\(26\) −0.135143 + 1.41528i −0.0265037 + 0.277559i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 3.45544 + 0.0323020i 0.653016 + 0.00610450i
\(29\) 3.59731 1.05627i 0.668004 0.196144i 0.0698898 0.997555i \(-0.477735\pi\)
0.598114 + 0.801411i \(0.295917\pi\)
\(30\) 1.12376 + 2.17979i 0.205169 + 0.397973i
\(31\) −0.361480 3.78559i −0.0649238 0.679913i −0.968087 0.250615i \(-0.919367\pi\)
0.903163 0.429298i \(-0.141239\pi\)
\(32\) −5.66864 1.09254i −1.00208 0.193136i
\(33\) −0.00279704 0.0587172i −0.000486903 0.0102213i
\(34\) −0.491430 3.41797i −0.0842795 0.586177i
\(35\) −0.443335 + 7.77652i −0.0749373 + 1.31447i
\(36\) 1.09875 0.706125i 0.183125 0.117688i
\(37\) −6.60378 + 2.28559i −1.08565 + 0.375749i −0.810552 0.585666i \(-0.800833\pi\)
−0.275102 + 0.961415i \(0.588712\pi\)
\(38\) 3.71980 0.355198i 0.603431 0.0576207i
\(39\) −0.0812090 + 1.70479i −0.0130038 + 0.272984i
\(40\) 1.91151 7.87933i 0.302236 1.24583i
\(41\) −5.33448 + 4.62235i −0.833105 + 0.721890i −0.962960 0.269643i \(-0.913094\pi\)
0.129855 + 0.991533i \(0.458549\pi\)
\(42\) −2.20233 + 0.0842847i −0.339827 + 0.0130054i
\(43\) −0.791856 + 0.361628i −0.120757 + 0.0551478i −0.474877 0.880052i \(-0.657508\pi\)
0.354120 + 0.935200i \(0.384780\pi\)
\(44\) −0.0474603 + 0.0603507i −0.00715491 + 0.00909820i
\(45\) 1.47201 + 2.54960i 0.219434 + 0.380072i
\(46\) −0.589076 + 3.95132i −0.0868545 + 0.582590i
\(47\) 4.26603 + 2.46299i 0.622264 + 0.359264i 0.777750 0.628574i \(-0.216361\pi\)
−0.155486 + 0.987838i \(0.549694\pi\)
\(48\) −0.314812 0.0452631i −0.0454392 0.00653316i
\(49\) −6.16080 3.32334i −0.880114 0.474763i
\(50\) 2.93114 + 0.860660i 0.414525 + 0.121716i
\(51\) −0.784510 4.07042i −0.109853 0.569973i
\(52\) 1.53827 1.61330i 0.213320 0.223724i
\(53\) −2.27517 0.108380i −0.312518 0.0148871i −0.109263 0.994013i \(-0.534849\pi\)
−0.203255 + 0.979126i \(0.565152\pi\)
\(54\) −0.678552 + 0.483195i −0.0923393 + 0.0657545i
\(55\) −0.130791 0.113331i −0.0176358 0.0152815i
\(56\) 5.68517 + 4.55752i 0.759713 + 0.609024i
\(57\) 4.44013 0.638394i 0.588109 0.0845573i
\(58\) 2.89940 + 1.16074i 0.380710 + 0.152413i
\(59\) −4.34574 + 8.42956i −0.565767 + 1.09743i 0.416357 + 0.909201i \(0.363307\pi\)
−0.982124 + 0.188234i \(0.939724\pi\)
\(60\) 0.727701 3.77567i 0.0939458 0.487437i
\(61\) −3.03777 4.26596i −0.388947 0.546200i 0.572958 0.819585i \(-0.305796\pi\)
−0.961905 + 0.273385i \(0.911857\pi\)
\(62\) 1.71264 2.66492i 0.217505 0.338445i
\(63\) −2.63601 + 0.226864i −0.332106 + 0.0285822i
\(64\) −2.73264 3.15364i −0.341580 0.394205i
\(65\) 3.46738 + 3.63649i 0.430076 + 0.451051i
\(66\) 0.0284040 0.0398878i 0.00349629 0.00490985i
\(67\) −1.08353 2.70652i −0.132374 0.330654i 0.847341 0.531048i \(-0.178202\pi\)
−0.979715 + 0.200395i \(0.935778\pi\)
\(68\) −2.70709 + 4.68882i −0.328283 + 0.568602i
\(69\) −0.480662 + 4.77168i −0.0578649 + 0.574443i
\(70\) −4.29469 + 4.86372i −0.513314 + 0.581326i
\(71\) 0.389889 2.71173i 0.0462713 0.321824i −0.953519 0.301334i \(-0.902568\pi\)
0.999790 0.0204901i \(-0.00652266\pi\)
\(72\) 2.74154 + 0.261786i 0.323094 + 0.0308518i
\(73\) −16.5969 + 4.02635i −1.94252 + 0.471249i −0.963298 + 0.268434i \(0.913494\pi\)
−0.979217 + 0.202815i \(0.934991\pi\)
\(74\) −5.50103 1.90393i −0.639482 0.221327i
\(75\) 3.56389 + 0.864591i 0.411523 + 0.0998344i
\(76\) −4.92877 3.16753i −0.565368 0.363340i
\(77\) 0.142070 0.0632830i 0.0161904 0.00721177i
\(78\) −0.931028 + 1.07446i −0.105418 + 0.121659i
\(79\) 13.0965 0.623864i 1.47347 0.0701902i 0.704606 0.709599i \(-0.251124\pi\)
0.768867 + 0.639409i \(0.220821\pi\)
\(80\) −0.736015 + 0.578809i −0.0822890 + 0.0647128i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −5.87318 + 0.279774i −0.648584 + 0.0308959i
\(83\) −0.139102 + 0.160532i −0.0152684 + 0.0176207i −0.763332 0.646006i \(-0.776438\pi\)
0.748064 + 0.663627i \(0.230984\pi\)
\(84\) 2.79598 + 2.03066i 0.305066 + 0.221563i
\(85\) −10.2666 6.59796i −1.11357 0.715649i
\(86\) −0.704716 0.170962i −0.0759915 0.0184353i
\(87\) 3.54298 + 1.22624i 0.379847 + 0.131466i
\(88\) −0.157328 + 0.0381673i −0.0167712 + 0.00406865i
\(89\) −2.36628 0.225952i −0.250825 0.0239509i −0.0311137 0.999516i \(-0.509905\pi\)
−0.219711 + 0.975565i \(0.570511\pi\)
\(90\) −0.349014 + 2.42745i −0.0367893 + 0.255875i
\(91\) −4.28082 + 1.43694i −0.448752 + 0.150632i
\(92\) 4.55570 4.29890i 0.474965 0.448192i
\(93\) 1.90141 3.29333i 0.197167 0.341503i
\(94\) 1.52508 + 3.80947i 0.157300 + 0.392917i
\(95\) 7.66038 10.7575i 0.785938 1.10370i
\(96\) −3.98380 4.17809i −0.406595 0.426425i
\(97\) −5.18709 5.98622i −0.526669 0.607808i 0.428619 0.903485i \(-0.359000\pi\)
−0.955288 + 0.295677i \(0.904455\pi\)
\(98\) −2.32274 5.34850i −0.234632 0.540280i
\(99\) 0.0317809 0.0494520i 0.00319410 0.00497012i
\(100\) −2.77834 3.90164i −0.277834 0.390164i
\(101\) 1.24122 6.44008i 0.123506 0.640812i −0.866430 0.499298i \(-0.833591\pi\)
0.989936 0.141513i \(-0.0451968\pi\)
\(102\) 1.58231 3.06925i 0.156672 0.303901i
\(103\) −7.00763 2.80543i −0.690482 0.276427i −0.000233824 1.00000i \(-0.500074\pi\)
−0.690248 + 0.723573i \(0.742499\pi\)
\(104\) 4.65249 0.668927i 0.456214 0.0655937i
\(105\) −4.87196 + 6.07741i −0.475454 + 0.593094i
\(106\) −1.43395 1.24253i −0.139278 0.120685i
\(107\) 0.133813 0.0952877i 0.0129362 0.00921181i −0.573571 0.819156i \(-0.694442\pi\)
0.586507 + 0.809944i \(0.300503\pi\)
\(108\) 1.30461 + 0.0621462i 0.125536 + 0.00598002i
\(109\) 7.67951 8.05404i 0.735563 0.771437i −0.244601 0.969624i \(-0.578657\pi\)
0.980164 + 0.198187i \(0.0635054\pi\)
\(110\) −0.0272828 0.141557i −0.00260131 0.0134969i
\(111\) −6.70505 1.96878i −0.636415 0.186868i
\(112\) −0.190733 0.819577i −0.0180226 0.0774428i
\(113\) −13.6433 1.96161i −1.28345 0.184532i −0.533372 0.845881i \(-0.679076\pi\)
−0.750079 + 0.661348i \(0.769985\pi\)
\(114\) 3.23609 + 1.86836i 0.303088 + 0.174988i
\(115\) 9.19046 + 10.7183i 0.857015 + 0.999490i
\(116\) −2.44838 4.24072i −0.227326 0.393741i
\(117\) −1.05502 + 1.34157i −0.0975370 + 0.124028i
\(118\) −7.18623 + 3.28184i −0.661546 + 0.302118i
\(119\) 9.28149 5.84298i 0.850833 0.535626i
\(120\) 6.12753 5.30953i 0.559364 0.484692i
\(121\) 2.59253 10.6866i 0.235685 0.971506i
\(122\) 0.207577 4.35757i 0.0187931 0.394516i
\(123\) −7.02656 + 0.670955i −0.633564 + 0.0604980i
\(124\) −4.69364 + 1.62449i −0.421502 + 0.145883i
\(125\) −3.30074 + 2.12125i −0.295227 + 0.189731i
\(126\) −1.84286 1.20882i −0.164175 0.107690i
\(127\) −0.218987 1.52309i −0.0194319 0.135152i 0.977796 0.209559i \(-0.0672028\pi\)
−0.997228 + 0.0744068i \(0.976294\pi\)
\(128\) 0.383981 + 8.06075i 0.0339394 + 0.712477i
\(129\) −0.854792 0.164748i −0.0752602 0.0145052i
\(130\) 0.397864 + 4.16662i 0.0348950 + 0.365437i
\(131\) 8.93050 + 17.3227i 0.780261 + 1.51350i 0.856351 + 0.516394i \(0.172726\pi\)
−0.0760897 + 0.997101i \(0.524244\pi\)
\(132\) −0.0736668 + 0.0216305i −0.00641187 + 0.00188270i
\(133\) 5.83780 + 10.3332i 0.506201 + 0.896006i
\(134\) 0.684194 2.33015i 0.0591054 0.201294i
\(135\) −0.279847 + 2.93069i −0.0240854 + 0.252234i
\(136\) −10.5985 + 4.24301i −0.908817 + 0.363836i
\(137\) 8.10937 4.68195i 0.692831 0.400006i −0.111841 0.993726i \(-0.535675\pi\)
0.804672 + 0.593720i \(0.202341\pi\)
\(138\) −2.77184 + 2.87695i −0.235954 + 0.244902i
\(139\) 13.1628i 1.11645i −0.829688 0.558227i \(-0.811482\pi\)
0.829688 0.558227i \(-0.188518\pi\)
\(140\) 10.0070 1.83185i 0.845750 0.154820i
\(141\) 2.04633 + 4.48083i 0.172332 + 0.377354i
\(142\) 1.65166 1.57486i 0.138604 0.132159i
\(143\) 0.0328139 0.0948094i 0.00274403 0.00792836i
\(144\) −0.230183 0.219479i −0.0191819 0.0182899i
\(145\) 9.81067 5.05775i 0.814731 0.420023i
\(146\) −12.9408 5.90987i −1.07099 0.489104i
\(147\) −3.09071 6.28073i −0.254917 0.518026i
\(148\) 4.93449 + 7.67821i 0.405612 + 0.631145i
\(149\) −3.28060 + 8.19454i −0.268757 + 0.671323i −0.999941 0.0108573i \(-0.996544\pi\)
0.731184 + 0.682181i \(0.238968\pi\)
\(150\) 1.88840 + 2.40130i 0.154187 + 0.196065i
\(151\) 9.02057 + 4.65043i 0.734083 + 0.378446i 0.784374 0.620288i \(-0.212984\pi\)
−0.0502906 + 0.998735i \(0.516015\pi\)
\(152\) −4.04057 11.6745i −0.327734 0.946924i
\(153\) 1.72203 3.77073i 0.139218 0.304845i
\(154\) 0.125613 + 0.0317196i 0.0101222 + 0.00255604i
\(155\) −3.15416 10.7421i −0.253348 0.862824i
\(156\) 2.18884 0.421865i 0.175248 0.0337762i
\(157\) 3.93614 + 16.2250i 0.314138 + 1.29489i 0.881797 + 0.471630i \(0.156334\pi\)
−0.567659 + 0.823264i \(0.692151\pi\)
\(158\) 8.89675 + 6.33534i 0.707787 + 0.504013i
\(159\) −1.79043 1.40801i −0.141990 0.111662i
\(160\) −16.9958 −1.34363
\(161\) −12.2253 + 3.39738i −0.963488 + 0.267751i
\(162\) −0.833013 −0.0654477
\(163\) 3.11486 + 2.44955i 0.243975 + 0.191864i 0.732657 0.680598i \(-0.238280\pi\)
−0.488683 + 0.872462i \(0.662522\pi\)
\(164\) 7.50963 + 5.34758i 0.586403 + 0.417576i
\(165\) −0.0408006 0.168182i −0.00317632 0.0130930i
\(166\) −0.173746 + 0.0334868i −0.0134853 + 0.00259908i
\(167\) 1.83089 + 6.23543i 0.141678 + 0.482512i 0.999506 0.0314252i \(-0.0100046\pi\)
−0.857828 + 0.513937i \(0.828186\pi\)
\(168\) 1.98738 + 7.01017i 0.153330 + 0.540846i
\(169\) 4.19034 9.17556i 0.322334 0.705812i
\(170\) −3.32499 9.60693i −0.255015 0.736818i
\(171\) 3.98713 + 2.05551i 0.304903 + 0.157188i
\(172\) 0.702835 + 0.893728i 0.0535907 + 0.0681461i
\(173\) −6.93977 + 17.3347i −0.527621 + 1.31793i 0.390124 + 0.920762i \(0.372432\pi\)
−0.917745 + 0.397171i \(0.869992\pi\)
\(174\) 1.68848 + 2.62733i 0.128004 + 0.199177i
\(175\) 1.29100 + 9.61641i 0.0975904 + 0.726932i
\(176\) 0.0170066 + 0.00776664i 0.00128192 + 0.000585433i
\(177\) −8.42956 + 4.34574i −0.633604 + 0.326646i
\(178\) −1.43307 1.36643i −0.107413 0.102418i
\(179\) −4.73242 + 13.6734i −0.353718 + 1.02200i 0.618066 + 0.786126i \(0.287916\pi\)
−0.971784 + 0.235874i \(0.924205\pi\)
\(180\) 2.78287 2.65346i 0.207423 0.197777i
\(181\) −9.91255 21.7055i −0.736794 1.61335i −0.788757 0.614705i \(-0.789275\pi\)
0.0519627 0.998649i \(-0.483452\pi\)
\(182\) −3.54298 1.26344i −0.262623 0.0936528i
\(183\) 5.23703i 0.387132i
\(184\) 13.1543 1.18718i 0.969750 0.0875199i
\(185\) −17.8169 + 10.2866i −1.30992 + 0.756285i
\(186\) 2.94088 1.17735i 0.215636 0.0863274i
\(187\) −0.0231631 + 0.242575i −0.00169385 + 0.0177388i
\(188\) 1.81260 6.17316i 0.132198 0.450224i
\(189\) −2.27882 1.34424i −0.165760 0.0977788i
\(190\) 10.5554 3.09933i 0.765767 0.224849i
\(191\) 0.855088 + 1.65864i 0.0618720 + 0.120015i 0.917744 0.397174i \(-0.130009\pi\)
−0.855871 + 0.517189i \(0.826979\pi\)
\(192\) −0.396656 4.15396i −0.0286261 0.299787i
\(193\) 19.8680 + 3.82924i 1.43013 + 0.275635i 0.844765 0.535137i \(-0.179740\pi\)
0.585363 + 0.810772i \(0.300952\pi\)
\(194\) −0.313956 6.59074i −0.0225407 0.473187i
\(195\) 0.715078 + 4.97348i 0.0512078 + 0.356158i
\(196\) −2.32118 + 8.84306i −0.165799 + 0.631647i
\(197\) −5.10159 + 3.27859i −0.363473 + 0.233590i −0.709611 0.704594i \(-0.751129\pi\)
0.346138 + 0.938184i \(0.387493\pi\)
\(198\) 0.0462744 0.0160157i 0.00328858 0.00113819i
\(199\) −15.7798 + 1.50679i −1.11860 + 0.106813i −0.637934 0.770091i \(-0.720211\pi\)
−0.480665 + 0.876904i \(0.659605\pi\)
\(200\) 0.480564 10.0883i 0.0339810 0.713349i
\(201\) 0.687320 2.83317i 0.0484798 0.199836i
\(202\) 4.12896 3.57776i 0.290513 0.251731i
\(203\) 0.379344 + 9.91214i 0.0266247 + 0.695696i
\(204\) −4.92491 + 2.24913i −0.344813 + 0.157471i
\(205\) −12.8456 + 16.3345i −0.897177 + 1.14085i
\(206\) −3.14393 5.44544i −0.219048 0.379402i
\(207\) −3.15938 + 3.60809i −0.219592 + 0.250779i
\(208\) −0.470096 0.271410i −0.0325953 0.0188189i
\(209\) −0.261007 0.0375272i −0.0180543 0.00259581i
\(210\) −6.31959 + 1.47070i −0.436093 + 0.101488i
\(211\) 1.64656 + 0.483473i 0.113354 + 0.0332836i 0.337917 0.941176i \(-0.390278\pi\)
−0.224564 + 0.974459i \(0.572096\pi\)
\(212\) 0.563012 + 2.92118i 0.0386678 + 0.200628i
\(213\) 1.89055 1.98276i 0.129539 0.135856i
\(214\) 0.136687 + 0.00651118i 0.00934370 + 0.000445095i
\(215\) −2.08763 + 1.48659i −0.142375 + 0.101385i
\(216\) 2.08135 + 1.80350i 0.141618 + 0.122712i
\(217\) 9.94507 + 1.52490i 0.675115 + 0.103517i
\(218\) 9.17578 1.31928i 0.621462 0.0893528i
\(219\) −15.8549 6.34735i −1.07138 0.428914i
\(220\) −0.103574 + 0.200906i −0.00698297 + 0.0135451i
\(221\) 1.33894 6.94707i 0.0900667 0.467310i
\(222\) −3.37662 4.74180i −0.226624 0.318249i
\(223\) 1.85144 2.88089i 0.123981 0.192919i −0.773714 0.633535i \(-0.781603\pi\)
0.897696 + 0.440616i \(0.145240\pi\)
\(224\) 6.47458 13.8337i 0.432601 0.924300i
\(225\) 2.40155 + 2.77154i 0.160103 + 0.184769i
\(226\) −7.92341 8.30984i −0.527058 0.552762i
\(227\) 1.35186 1.89843i 0.0897263 0.126003i −0.767273 0.641321i \(-0.778387\pi\)
0.856999 + 0.515318i \(0.172326\pi\)
\(228\) −2.17751 5.43916i −0.144209 0.360217i
\(229\) 3.96591 6.86915i 0.262075 0.453926i −0.704719 0.709487i \(-0.748927\pi\)
0.966793 + 0.255561i \(0.0822600\pi\)
\(230\) 0.498604 + 11.7508i 0.0328770 + 0.774822i
\(231\) 0.152435 + 0.0308600i 0.0100295 + 0.00203044i
\(232\) 1.46944 10.2202i 0.0964736 0.670989i
\(233\) 21.3756 + 2.04112i 1.40036 + 0.133718i 0.767749 0.640751i \(-0.221377\pi\)
0.632612 + 0.774469i \(0.281983\pi\)
\(234\) −1.38164 + 0.335183i −0.0903208 + 0.0219116i
\(235\) 13.7046 + 4.74321i 0.893989 + 0.309413i
\(236\) 12.0376 + 2.92028i 0.783578 + 0.190094i
\(237\) 11.0300 + 7.08854i 0.716474 + 0.460450i
\(238\) 9.08620 + 0.953418i 0.588971 + 0.0618009i
\(239\) 19.4121 22.4028i 1.25566 1.44911i 0.412949 0.910754i \(-0.364499\pi\)
0.842715 0.538360i \(-0.180956\pi\)
\(240\) −0.935283 + 0.0445530i −0.0603722 + 0.00287588i
\(241\) 16.7039 13.1361i 1.07599 0.846171i 0.0873094 0.996181i \(-0.472173\pi\)
0.988684 + 0.150010i \(0.0479307\pi\)
\(242\) 7.20045 5.66250i 0.462863 0.363999i
\(243\) −0.998867 + 0.0475819i −0.0640774 + 0.00305238i
\(244\) −4.47926 + 5.16935i −0.286755 + 0.330933i
\(245\) −19.6614 6.17463i −1.25612 0.394483i
\(246\) −4.94644 3.17888i −0.315373 0.202678i
\(247\) 7.44017 + 1.80496i 0.473406 + 0.114847i
\(248\) −9.89700 3.42538i −0.628460 0.217512i
\(249\) −0.206427 + 0.0500786i −0.0130818 + 0.00317360i
\(250\) −3.25360 0.310682i −0.205776 0.0196492i
\(251\) −2.27971 + 15.8557i −0.143894 + 1.00080i 0.782070 + 0.623191i \(0.214164\pi\)
−0.925963 + 0.377613i \(0.876745\pi\)
\(252\) 1.09964 + 3.27596i 0.0692706 + 0.206366i
\(253\) 0.106136 0.261175i 0.00667270 0.0164199i
\(254\) 0.640898 1.11007i 0.0402135 0.0696519i
\(255\) −4.53575 11.3298i −0.284040 0.709497i
\(256\) −8.74032 + 12.2741i −0.546270 + 0.767129i
\(257\) 18.1224 + 19.0063i 1.13045 + 1.18558i 0.980425 + 0.196895i \(0.0630859\pi\)
0.150022 + 0.988683i \(0.452066\pi\)
\(258\) −0.474877 0.548037i −0.0295645 0.0341193i
\(259\) −1.58535 18.4207i −0.0985089 1.14461i
\(260\) 3.54801 5.52081i 0.220038 0.342386i
\(261\) 2.17474 + 3.05399i 0.134613 + 0.189037i
\(262\) −3.07246 + 15.9414i −0.189817 + 0.984864i
\(263\) −3.40903 + 6.61259i −0.210210 + 0.407750i −0.970243 0.242135i \(-0.922152\pi\)
0.760033 + 0.649884i \(0.225183\pi\)
\(264\) −0.150295 0.0601689i −0.00925000 0.00370314i
\(265\) −6.63749 + 0.954327i −0.407738 + 0.0586238i
\(266\) −1.49840 + 9.77222i −0.0918727 + 0.599173i
\(267\) −1.79645 1.55663i −0.109941 0.0952642i
\(268\) −3.10167 + 2.20869i −0.189464 + 0.134917i
\(269\) 30.4406 + 1.45007i 1.85600 + 0.0884120i 0.945602 0.325327i \(-0.105474\pi\)
0.910395 + 0.413739i \(0.135777\pi\)
\(270\) −1.69236 + 1.77489i −0.102993 + 0.108016i
\(271\) 3.36252 + 17.4464i 0.204258 + 1.05979i 0.928805 + 0.370568i \(0.120837\pi\)
−0.724547 + 0.689225i \(0.757951\pi\)
\(272\) 1.26501 + 0.371442i 0.0767027 + 0.0225220i
\(273\) −4.32056 1.31262i −0.261492 0.0794436i
\(274\) 7.72085 + 1.11009i 0.466434 + 0.0670631i
\(275\) −0.186694 0.107788i −0.0112581 0.00649985i
\(276\) 6.20458 0.859217i 0.373472 0.0517188i
\(277\) 15.1245 + 26.1965i 0.908746 + 1.57399i 0.815809 + 0.578322i \(0.196292\pi\)
0.0929366 + 0.995672i \(0.470375\pi\)
\(278\) 6.77798 8.61890i 0.406516 0.516927i
\(279\) 3.45916 1.57975i 0.207095 0.0945769i
\(280\) 18.9741 + 10.0074i 1.13392 + 0.598058i
\(281\) 7.42762 6.43607i 0.443095 0.383944i −0.404543 0.914519i \(-0.632569\pi\)
0.847638 + 0.530575i \(0.178024\pi\)
\(282\) −0.967415 + 3.98774i −0.0576087 + 0.237466i
\(283\) 0.782323 16.4230i 0.0465043 0.976245i −0.848225 0.529636i \(-0.822328\pi\)
0.894729 0.446609i \(-0.147368\pi\)
\(284\) −3.56199 + 0.340128i −0.211365 + 0.0201829i
\(285\) 12.4799 4.31934i 0.739247 0.255856i
\(286\) 0.0703069 0.0451835i 0.00415733 0.00267176i
\(287\) −8.40189 16.6784i −0.495948 0.984492i
\(288\) −0.821579 5.71421i −0.0484120 0.336713i
\(289\) 0.00874527 + 0.183586i 0.000514428 + 0.0107992i
\(290\) 9.02836 + 1.74007i 0.530163 + 0.102181i
\(291\) −0.752929 7.88503i −0.0441375 0.462229i
\(292\) 10.2211 + 19.8261i 0.598144 + 1.16024i
\(293\) −25.1778 + 7.39287i −1.47090 + 0.431896i −0.916393 0.400280i \(-0.868913\pi\)
−0.554511 + 0.832177i \(0.687095\pi\)
\(294\) 1.21039 5.70408i 0.0705913 0.332669i
\(295\) −7.86614 + 26.7896i −0.457984 + 1.55975i
\(296\) −1.82939 + 19.1582i −0.106331 + 1.11355i
\(297\) 0.0545729 0.0218477i 0.00316664 0.00126773i
\(298\) −6.36777 + 3.67643i −0.368875 + 0.212970i
\(299\) −3.78838 + 7.25566i −0.219088 + 0.419606i
\(300\) 4.78978i 0.276538i
\(301\) −0.414722 2.26554i −0.0239042 0.130584i
\(302\) 3.51193 + 7.69006i 0.202089 + 0.442513i
\(303\) 4.74668 4.52595i 0.272690 0.260009i
\(304\) −0.466628 + 1.34823i −0.0267629 + 0.0773264i
\(305\) −11.1585 10.6396i −0.638932 0.609221i
\(306\) 3.06925 1.58231i 0.175457 0.0904546i
\(307\) 17.0116 + 7.76892i 0.970901 + 0.443396i 0.836762 0.547567i \(-0.184446\pi\)
0.134139 + 0.990963i \(0.457173\pi\)
\(308\) −0.124070 0.160840i −0.00706955 0.00916469i
\(309\) −4.08094 6.35006i −0.232156 0.361242i
\(310\) 3.46614 8.65801i 0.196864 0.491742i
\(311\) −15.4716 19.6738i −0.877316 1.11560i −0.992499 0.122254i \(-0.960988\pi\)
0.115182 0.993344i \(-0.463255\pi\)
\(312\) 4.17782 + 2.15382i 0.236522 + 0.121936i
\(313\) 4.43342 + 12.8095i 0.250592 + 0.724037i 0.998204 + 0.0599020i \(0.0190788\pi\)
−0.747613 + 0.664135i \(0.768800\pi\)
\(314\) −5.77745 + 12.6508i −0.326040 + 0.713928i
\(315\) −7.49382 + 2.12450i −0.422229 + 0.119702i
\(316\) −4.82456 16.4309i −0.271403 0.924313i
\(317\) 27.4420 5.28901i 1.54130 0.297061i 0.653367 0.757041i \(-0.273356\pi\)
0.887929 + 0.459980i \(0.152144\pi\)
\(318\) −0.447327 1.84391i −0.0250849 0.103401i
\(319\) −0.179525 0.127839i −0.0100515 0.00715762i
\(320\) −9.65666 7.59408i −0.539824 0.424522i
\(321\) 0.164273 0.00916883
\(322\) −9.75446 4.07065i −0.543595 0.226848i
\(323\) −18.5951 −1.03466
\(324\) 1.02666 + 0.807371i 0.0570364 + 0.0448539i
\(325\) 5.09843 + 3.63057i 0.282810 + 0.201388i
\(326\) 0.778227 + 3.20790i 0.0431020 + 0.177669i
\(327\) 10.9273 2.10607i 0.604283 0.116466i
\(328\) 5.47668 + 18.6519i 0.302399 + 1.02988i
\(329\) −9.08153 + 9.34789i −0.500681 + 0.515366i
\(330\) 0.0598870 0.131134i 0.00329667 0.00721870i
\(331\) 6.25658 + 18.0772i 0.343893 + 0.993613i 0.975818 + 0.218583i \(0.0701436\pi\)
−0.631926 + 0.775029i \(0.717735\pi\)
\(332\) 0.246592 + 0.127127i 0.0135335 + 0.00697699i
\(333\) −4.31977 5.49303i −0.236722 0.301016i
\(334\) −2.01199 + 5.02570i −0.110091 + 0.274994i
\(335\) −4.64024 7.22035i −0.253523 0.394490i
\(336\) 0.320035 0.778244i 0.0174593 0.0424567i
\(337\) −24.7393 11.2981i −1.34764 0.615445i −0.394754 0.918787i \(-0.629170\pi\)
−0.952882 + 0.303342i \(0.901897\pi\)
\(338\) 7.46861 3.85034i 0.406239 0.209431i
\(339\) −9.97564 9.51176i −0.541802 0.516608i
\(340\) −5.21329 + 15.0628i −0.282730 + 0.816895i
\(341\) −0.161786 + 0.154263i −0.00876121 + 0.00835379i
\(342\) 1.55229 + 3.39904i 0.0839382 + 0.183799i
\(343\) 12.5159 13.6511i 0.675794 0.737090i
\(344\) 2.39743i 0.129261i
\(345\) 1.26908 + 14.0619i 0.0683252 + 0.757066i
\(346\) −13.4703 + 7.77710i −0.724170 + 0.418100i
\(347\) 12.0130 4.80929i 0.644893 0.258176i −0.0260776 0.999660i \(-0.508302\pi\)
0.670971 + 0.741484i \(0.265877\pi\)
\(348\) 0.465467 4.87459i 0.0249516 0.261305i
\(349\) 5.68512 19.3617i 0.304317 1.03641i −0.655363 0.755314i \(-0.727484\pi\)
0.959680 0.281095i \(-0.0906977\pi\)
\(350\) −4.10648 + 6.96153i −0.219501 + 0.372109i
\(351\) −1.63758 + 0.480838i −0.0874078 + 0.0256652i
\(352\) 0.155502 + 0.301632i 0.00828830 + 0.0160771i
\(353\) −2.05911 21.5639i −0.109595 1.14773i −0.868211 0.496195i \(-0.834730\pi\)
0.758616 0.651538i \(-0.225876\pi\)
\(354\) −7.75738 1.49511i −0.412300 0.0794643i
\(355\) −0.383772 8.05637i −0.0203685 0.427587i
\(356\) 0.441834 + 3.07303i 0.0234172 + 0.162870i
\(357\) 10.9497 + 0.624239i 0.579522 + 0.0330382i
\(358\) −10.1397 + 6.51637i −0.535898 + 0.344401i
\(359\) 30.3762 10.5133i 1.60319 0.554871i 0.628383 0.777904i \(-0.283717\pi\)
0.974811 + 0.223033i \(0.0715957\pi\)
\(360\) 8.07117 0.770703i 0.425388 0.0406196i
\(361\) 0.0534000 1.12100i 0.00281053 0.0590002i
\(362\) 4.68623 19.3169i 0.246303 1.01527i
\(363\) 8.31063 7.20121i 0.436195 0.377965i
\(364\) 3.14203 + 4.99106i 0.164687 + 0.261603i
\(365\) −45.7352 + 20.8866i −2.39389 + 1.09325i
\(366\) 2.69672 3.42916i 0.140960 0.179245i
\(367\) −1.46614 2.53943i −0.0765321 0.132557i 0.825219 0.564812i \(-0.191051\pi\)
−0.901751 + 0.432255i \(0.857718\pi\)
\(368\) −1.27887 0.831298i −0.0666658 0.0433344i
\(369\) −6.11286 3.52926i −0.318223 0.183726i
\(370\) −16.9633 2.43895i −0.881879 0.126795i
\(371\) 1.75180 5.76612i 0.0909488 0.299362i
\(372\) −4.76562 1.39931i −0.247086 0.0725510i
\(373\) −2.06918 10.7359i −0.107138 0.555884i −0.995340 0.0964306i \(-0.969257\pi\)
0.888202 0.459454i \(-0.151955\pi\)
\(374\) −0.140077 + 0.146909i −0.00724322 + 0.00759647i
\(375\) −3.91915 0.186692i −0.202384 0.00964074i
\(376\) 11.0507 7.86919i 0.569898 0.405822i
\(377\) 4.83588 + 4.19032i 0.249061 + 0.215812i
\(378\) −0.799962 2.05364i −0.0411456 0.105628i
\(379\) 32.9167 4.73271i 1.69082 0.243103i 0.771391 0.636362i \(-0.219561\pi\)
0.919428 + 0.393259i \(0.128652\pi\)
\(380\) −16.0130 6.41064i −0.821450 0.328859i
\(381\) 0.705095 1.36769i 0.0361231 0.0700691i
\(382\) −0.294186 + 1.52638i −0.0150518 + 0.0780964i
\(383\) −18.0575 25.3582i −0.922693 1.29574i −0.955105 0.296266i \(-0.904258\pi\)
0.0324123 0.999475i \(-0.489681\pi\)
\(384\) −4.36291 + 6.78883i −0.222644 + 0.346441i
\(385\) 0.375441 0.262096i 0.0191342 0.0133576i
\(386\) 11.0376 + 12.7381i 0.561798 + 0.648350i
\(387\) −0.600730 0.630027i −0.0305368 0.0320261i
\(388\) −6.00092 + 8.42712i −0.304651 + 0.427822i
\(389\) −10.9271 27.2945i −0.554025 1.38389i −0.895948 0.444159i \(-0.853503\pi\)
0.341923 0.939728i \(-0.388922\pi\)
\(390\) −2.09279 + 3.62481i −0.105972 + 0.183549i
\(391\) 4.78724 19.2953i 0.242101 0.975807i
\(392\) −15.3738 + 11.6316i −0.776492 + 0.587482i
\(393\) −2.77361 + 19.2909i −0.139910 + 0.973097i
\(394\) −5.02874 0.480186i −0.253344 0.0241914i
\(395\) 37.5121 9.10033i 1.88744 0.457887i
\(396\) −0.0725542 0.0251112i −0.00364598 0.00126189i
\(397\) −38.0364 9.22754i −1.90899 0.463117i −0.998802 0.0489305i \(-0.984419\pi\)
−0.910192 0.414186i \(-0.864066\pi\)
\(398\) −11.1084 7.13892i −0.556813 0.357842i
\(399\) −1.23854 + 11.8035i −0.0620046 + 0.590913i
\(400\) −0.763810 + 0.881484i −0.0381905 + 0.0440742i
\(401\) −24.0548 + 1.14587i −1.20124 + 0.0572222i −0.638640 0.769506i \(-0.720503\pi\)
−0.562602 + 0.826728i \(0.690200\pi\)
\(402\) 1.90895 1.50121i 0.0952097 0.0748737i
\(403\) 5.10175 4.01206i 0.254136 0.199855i
\(404\) −8.55642 + 0.407592i −0.425698 + 0.0202785i
\(405\) −1.92792 + 2.22494i −0.0957993 + 0.110558i
\(406\) −4.85571 + 6.68573i −0.240985 + 0.331807i
\(407\) 0.345577 + 0.222089i 0.0171296 + 0.0110085i
\(408\) −11.0945 2.69150i −0.549260 0.133249i
\(409\) 15.2765 + 5.28723i 0.755372 + 0.261437i 0.677496 0.735526i \(-0.263065\pi\)
0.0778759 + 0.996963i \(0.475186\pi\)
\(410\) −16.8224 + 4.08108i −0.830801 + 0.201550i
\(411\) 9.32150 + 0.890095i 0.459796 + 0.0439052i
\(412\) −1.40305 + 9.75845i −0.0691234 + 0.480764i
\(413\) −18.8087 16.6082i −0.925516 0.817236i
\(414\) −3.92667 + 0.735673i −0.192985 + 0.0361564i
\(415\) −0.312676 + 0.541571i −0.0153487 + 0.0265847i
\(416\) −3.66193 9.14706i −0.179541 0.448471i
\(417\) 7.63517 10.7221i 0.373896 0.525063i
\(418\) −0.151582 0.158974i −0.00741410 0.00777568i
\(419\) 12.0928 + 13.9558i 0.590771 + 0.681786i 0.969885 0.243564i \(-0.0783167\pi\)
−0.379114 + 0.925350i \(0.623771\pi\)
\(420\) 9.21408 + 4.31247i 0.449601 + 0.210427i
\(421\) −20.6980 + 32.2067i −1.00876 + 1.56966i −0.201479 + 0.979493i \(0.564575\pi\)
−0.807280 + 0.590168i \(0.799061\pi\)
\(422\) 0.829196 + 1.16444i 0.0403646 + 0.0566842i
\(423\) −0.932248 + 4.83696i −0.0453275 + 0.235181i
\(424\) −2.87443 + 5.57562i −0.139595 + 0.270776i
\(425\) −14.1131 5.65003i −0.684586 0.274067i
\(426\) 2.25891 0.324782i 0.109445 0.0157357i
\(427\) 12.9109 5.02924i 0.624803 0.243382i
\(428\) −0.162150 0.140504i −0.00783782 0.00679151i
\(429\) 0.0817242 0.0581956i 0.00394568 0.00280971i
\(430\) −2.13246 0.101582i −0.102836 0.00489870i
\(431\) −25.5927 + 26.8409i −1.23276 + 1.29288i −0.290947 + 0.956739i \(0.593970\pi\)
−0.941812 + 0.336140i \(0.890878\pi\)
\(432\) −0.0601912 0.312301i −0.00289595 0.0150256i
\(433\) 25.3539 + 7.44456i 1.21843 + 0.357763i 0.826871 0.562391i \(-0.190118\pi\)
0.391557 + 0.920154i \(0.371937\pi\)
\(434\) 5.72673 + 6.11955i 0.274892 + 0.293748i
\(435\) 10.9253 + 1.57082i 0.523829 + 0.0753152i
\(436\) −12.5875 7.26737i −0.602830 0.348044i
\(437\) 20.6099 + 6.16806i 0.985905 + 0.295058i
\(438\) −7.11321 12.3204i −0.339882 0.588693i
\(439\) −1.94284 + 2.47052i −0.0927267 + 0.117912i −0.830202 0.557462i \(-0.811775\pi\)
0.737476 + 0.675374i \(0.236018\pi\)
\(440\) −0.433541 + 0.197992i −0.0206683 + 0.00943888i
\(441\) 1.12556 6.90892i 0.0535981 0.328996i
\(442\) 4.45401 3.85942i 0.211856 0.183574i
\(443\) 0.523501 2.15790i 0.0248723 0.102525i −0.958022 0.286693i \(-0.907444\pi\)
0.982895 + 0.184168i \(0.0589591\pi\)
\(444\) −0.434285 + 9.11677i −0.0206103 + 0.432663i
\(445\) −6.96637 + 0.665208i −0.330238 + 0.0315339i
\(446\) 2.69578 0.933018i 0.127649 0.0441797i
\(447\) −7.42560 + 4.77214i −0.351219 + 0.225715i
\(448\) 9.85992 4.96703i 0.465837 0.234670i
\(449\) −2.03936 14.1841i −0.0962433 0.669387i −0.979640 0.200761i \(-0.935658\pi\)
0.883397 0.468626i \(-0.155251\pi\)
\(450\) 0.145357 + 3.05142i 0.00685220 + 0.143845i
\(451\) 0.407428 + 0.0785253i 0.0191850 + 0.00369761i
\(452\) 1.71125 + 17.9211i 0.0804906 + 0.842936i
\(453\) 4.65043 + 9.02057i 0.218496 + 0.423823i
\(454\) 1.86276 0.546954i 0.0874234 0.0256698i
\(455\) −11.5745 + 6.53904i −0.542620 + 0.306555i
\(456\) 3.48050 11.8535i 0.162989 0.555091i
\(457\) 0.793608 8.31104i 0.0371234 0.388774i −0.957747 0.287613i \(-0.907138\pi\)
0.994870 0.101161i \(-0.0322557\pi\)
\(458\) 6.13401 2.45569i 0.286623 0.114747i
\(459\) 3.58996 2.07267i 0.167565 0.0967438i
\(460\) 10.7745 14.9656i 0.502366 0.697775i
\(461\) 3.37678i 0.157272i 0.996903 + 0.0786361i \(0.0250565\pi\)
−0.996903 + 0.0786361i \(0.974943\pi\)
\(462\) 0.0839223 + 0.0987008i 0.00390442 + 0.00459198i
\(463\) 10.3997 + 22.7721i 0.483315 + 1.05831i 0.981539 + 0.191263i \(0.0612583\pi\)
−0.498224 + 0.867048i \(0.666014\pi\)
\(464\) −0.862996 + 0.822865i −0.0400636 + 0.0382006i
\(465\) 3.66171 10.5798i 0.169808 0.490627i
\(466\) 12.9455 + 12.3435i 0.599690 + 0.571803i
\(467\) 3.75105 1.93380i 0.173578 0.0894855i −0.369248 0.929331i \(-0.620385\pi\)
0.542826 + 0.839845i \(0.317354\pi\)
\(468\) 2.02769 + 0.926013i 0.0937298 + 0.0428050i
\(469\) 7.64471 1.02630i 0.353000 0.0473901i
\(470\) 6.53122 + 10.1628i 0.301263 + 0.468774i
\(471\) −6.20513 + 15.4997i −0.285917 + 0.714187i
\(472\) 16.1454 + 20.5306i 0.743154 + 0.944997i
\(473\) 0.0454840 + 0.0234487i 0.00209136 + 0.00107817i
\(474\) 3.57222 + 10.3212i 0.164077 + 0.474070i
\(475\) 6.83382 14.9640i 0.313557 0.686594i
\(476\) −10.2743 9.98156i −0.470923 0.457504i
\(477\) −0.641716 2.18548i −0.0293821 0.100066i
\(478\) 24.2468 4.67320i 1.10902 0.213747i
\(479\) −5.68492 23.4335i −0.259750 1.07071i −0.940933 0.338592i \(-0.890049\pi\)
0.681183 0.732113i \(-0.261466\pi\)
\(480\) −13.8443 9.85850i −0.631904 0.449977i
\(481\) −9.37506 7.37263i −0.427466 0.336163i
\(482\) 17.7018 0.806296
\(483\) −11.9291 4.32395i −0.542793 0.196746i
\(484\) −14.3625 −0.652840
\(485\) −18.3302 14.4150i −0.832332 0.654553i
\(486\) −0.678552 0.483195i −0.0307798 0.0219182i
\(487\) −7.81111 32.1978i −0.353955 1.45902i −0.819030 0.573751i \(-0.805488\pi\)
0.465075 0.885271i \(-0.346027\pi\)
\(488\) −14.1622 + 2.72954i −0.641093 + 0.123561i
\(489\) 1.11641 + 3.80214i 0.0504858 + 0.171939i
\(490\) −9.69459 14.1674i −0.437957 0.640019i
\(491\) 3.85553 8.44243i 0.173998 0.381002i −0.802462 0.596704i \(-0.796477\pi\)
0.976459 + 0.215702i \(0.0692040\pi\)
\(492\) 3.01526 + 8.71202i 0.135938 + 0.392768i
\(493\) −13.8139 7.12157i −0.622148 0.320739i
\(494\) 3.94233 + 5.01307i 0.177374 + 0.225549i
\(495\) 0.0643201 0.160664i 0.00289098 0.00722131i
\(496\) 0.653895 + 1.01748i 0.0293607 + 0.0456862i
\(497\) 6.70366 + 2.75672i 0.300700 + 0.123656i
\(498\) −0.160954 0.0735051i −0.00721251 0.00329384i
\(499\) −33.2189 + 17.1256i −1.48708 + 0.766645i −0.994610 0.103682i \(-0.966937\pi\)
−0.492474 + 0.870327i \(0.663907\pi\)
\(500\) 3.70882 + 3.53635i 0.165864 + 0.158151i
\(501\) −2.12551 + 6.14125i −0.0949607 + 0.274371i
\(502\) −9.65739 + 9.20830i −0.431030 + 0.410987i
\(503\) 1.40361 + 3.07347i 0.0625838 + 0.137039i 0.938340 0.345715i \(-0.112364\pi\)
−0.875756 + 0.482754i \(0.839636\pi\)
\(504\) −2.44742 + 6.86311i −0.109017 + 0.305707i
\(505\) 19.3087i 0.859224i
\(506\) 0.203985 0.116362i 0.00906823 0.00517294i
\(507\) 8.73569 5.04356i 0.387966 0.223992i
\(508\) −1.86578 + 0.746946i −0.0827806 + 0.0331404i
\(509\) 0.965977 10.1162i 0.0428162 0.448391i −0.948489 0.316810i \(-0.897388\pi\)
0.991305 0.131582i \(-0.0420056\pi\)
\(510\) 2.86411 9.75426i 0.126825 0.431926i
\(511\) 0.422377 45.1829i 0.0186849 1.99877i
\(512\) 3.44257 1.01083i 0.152142 0.0446728i
\(513\) 2.05551 + 3.98713i 0.0907528 + 0.176036i
\(514\) 2.07945 + 21.7770i 0.0917207 + 0.960543i
\(515\) −21.8209 4.20563i −0.961542 0.185322i
\(516\) 0.0540998 + 1.13569i 0.00238161 + 0.0499961i
\(517\) −0.0412098 0.286620i −0.00181240 0.0126055i
\(518\) 8.44739 12.8781i 0.371157 0.565831i
\(519\) −15.7081 + 10.0950i −0.689508 + 0.443120i
\(520\) 13.0768 4.52593i 0.573456 0.198475i
\(521\) −19.6227 + 1.87374i −0.859686 + 0.0820900i −0.515581 0.856841i \(-0.672424\pi\)
−0.344105 + 0.938931i \(0.611818\pi\)
\(522\) −0.148604 + 3.11958i −0.00650421 + 0.136540i
\(523\) 5.97798 24.6416i 0.261399 1.07750i −0.678106 0.734964i \(-0.737199\pi\)
0.939505 0.342536i \(-0.111286\pi\)
\(524\) 19.2374 16.6693i 0.840389 0.728202i
\(525\) −4.52645 + 8.58215i −0.197550 + 0.374556i
\(526\) −5.63726 + 2.57445i −0.245796 + 0.112251i
\(527\) −9.74461 + 12.3913i −0.424482 + 0.539773i
\(528\) 0.00934805 + 0.0161913i 0.000406822 + 0.000704636i
\(529\) −11.7063 + 19.7981i −0.508969 + 0.860785i
\(530\) −4.83759 2.79298i −0.210132 0.121319i
\(531\) −9.38729 1.34969i −0.407374 0.0585715i
\(532\) 11.3181 10.5916i 0.490703 0.459204i
\(533\) −11.5589 3.39401i −0.500673 0.147011i
\(534\) −0.374737 1.94432i −0.0162165 0.0841390i
\(535\) 0.333738 0.350015i 0.0144288 0.0151325i
\(536\) −8.01982 0.382031i −0.346404 0.0165012i
\(537\) −11.7863 + 8.39298i −0.508616 + 0.362184i
\(538\) 19.1856 + 16.6244i 0.827150 + 0.716729i
\(539\) 0.0703071 + 0.405435i 0.00302834 + 0.0174633i
\(540\) 3.80602 0.547223i 0.163785 0.0235487i
\(541\) −16.4574 6.58853i −0.707557 0.283263i −0.0101604 0.999948i \(-0.503234\pi\)
−0.697397 + 0.716685i \(0.745658\pi\)
\(542\) −6.78200 + 13.1552i −0.291312 + 0.565066i
\(543\) 4.51588 23.4306i 0.193795 1.00550i
\(544\) 13.8813 + 19.4935i 0.595155 + 0.835778i
\(545\) 17.7127 27.5615i 0.758728 1.18060i
\(546\) −2.15316 3.08430i −0.0921465 0.131996i
\(547\) 20.5816 + 23.7524i 0.880005 + 1.01558i 0.999741 + 0.0227741i \(0.00724983\pi\)
−0.119736 + 0.992806i \(0.538205\pi\)
\(548\) −8.43973 8.85133i −0.360527 0.378110i
\(549\) 3.03777 4.26596i 0.129649 0.182067i
\(550\) −0.0667422 0.166714i −0.00284590 0.00710870i
\(551\) 8.40900 14.5648i 0.358236 0.620482i
\(552\) 11.4038 + 6.66321i 0.485379 + 0.283605i
\(553\) −6.88314 + 33.9997i −0.292701 + 1.44581i
\(554\) −3.58603 + 24.9414i −0.152356 + 1.05966i
\(555\) −20.4800 1.95560i −0.869328 0.0830108i
\(556\) −16.7072 + 4.05312i −0.708542 + 0.171890i
\(557\) 34.8881 + 12.0749i 1.47826 + 0.511630i 0.942923 0.333010i \(-0.108064\pi\)
0.535335 + 0.844640i \(0.320185\pi\)
\(558\) 3.07850 + 0.746835i 0.130323 + 0.0316161i
\(559\) −1.24988 0.803251i −0.0528644 0.0339739i
\(560\) −1.00801 2.26298i −0.0425962 0.0956284i
\(561\) −0.159575 + 0.184160i −0.00673727 + 0.00777523i
\(562\) 8.17770 0.389552i 0.344956 0.0164323i
\(563\) −2.53306 + 1.99202i −0.106756 + 0.0839538i −0.670110 0.742262i \(-0.733753\pi\)
0.563354 + 0.826216i \(0.309511\pi\)
\(564\) 5.05729 3.97710i 0.212950 0.167466i
\(565\) −40.5332 + 1.93083i −1.70524 + 0.0812308i
\(566\) 8.96902 10.3508i 0.376996 0.435077i
\(567\) −1.07654 2.41683i −0.0452104 0.101497i
\(568\) −6.34722 4.07911i −0.266323 0.171156i
\(569\) 16.4184 + 3.98307i 0.688296 + 0.166979i 0.564629 0.825345i \(-0.309019\pi\)
0.123667 + 0.992324i \(0.460534\pi\)
\(570\) 10.3959 + 3.59807i 0.435438 + 0.150706i
\(571\) −13.0584 + 3.16794i −0.546479 + 0.132574i −0.499488 0.866321i \(-0.666478\pi\)
−0.0469910 + 0.998895i \(0.514963\pi\)
\(572\) −0.130443 0.0124558i −0.00545410 0.000520803i
\(573\) −0.265571 + 1.84709i −0.0110944 + 0.0771632i
\(574\) 3.08677 15.2473i 0.128839 0.636409i
\(575\) 13.7681 + 10.9436i 0.574171 + 0.456379i
\(576\) 2.08643 3.61380i 0.0869346 0.150575i
\(577\) −10.3093 25.7515i −0.429184 1.07205i −0.972579 0.232572i \(-0.925286\pi\)
0.543396 0.839477i \(-0.317138\pi\)
\(578\) −0.0888083 + 0.124714i −0.00369394 + 0.00518741i
\(579\) 13.9628 + 14.6438i 0.580274 + 0.608574i
\(580\) −9.44059 10.8950i −0.391999 0.452391i
\(581\) −0.321696 0.460815i −0.0133462 0.0191178i
\(582\) 3.56726 5.55077i 0.147868 0.230087i
\(583\) 0.0776665 + 0.109067i 0.00321662 + 0.00451711i
\(584\) −8.90121 + 46.1838i −0.368335 + 1.91110i
\(585\) −2.30241 + 4.46606i −0.0951931 + 0.184649i
\(586\) −20.2931 8.12413i −0.838300 0.335605i
\(587\) −14.6304 + 2.10353i −0.603861 + 0.0868221i −0.437463 0.899237i \(-0.644123\pi\)
−0.166398 + 0.986059i \(0.553214\pi\)
\(588\) −7.02026 + 5.85693i −0.289511 + 0.241536i
\(589\) −12.8920 11.1710i −0.531207 0.460293i
\(590\) −18.9456 + 13.4911i −0.779977 + 0.555419i
\(591\) −6.05740 0.288550i −0.249168 0.0118693i
\(592\) 1.53374 1.60854i 0.0630365 0.0661108i
\(593\) 4.91402 + 25.4964i 0.201795 + 1.04701i 0.931636 + 0.363393i \(0.118382\pi\)
−0.729841 + 0.683617i \(0.760406\pi\)
\(594\) 0.0469841 + 0.0137958i 0.00192778 + 0.000566047i
\(595\) 23.5756 22.0623i 0.966507 0.904466i
\(596\) 11.4113 + 1.64069i 0.467424 + 0.0672055i
\(597\) −13.7279 7.92578i −0.561844 0.324381i
\(598\) −6.21679 + 2.80018i −0.254224 + 0.114508i
\(599\) 7.83233 + 13.5660i 0.320020 + 0.554291i 0.980492 0.196560i \(-0.0629770\pi\)
−0.660472 + 0.750851i \(0.729644\pi\)
\(600\) 6.24323 7.93891i 0.254879 0.324105i
\(601\) −22.0829 + 10.0849i −0.900780 + 0.411373i −0.811310 0.584617i \(-0.801245\pi\)
−0.0894709 + 0.995989i \(0.528518\pi\)
\(602\) 0.895049 1.69701i 0.0364795 0.0691651i
\(603\) 2.20327 1.90915i 0.0897242 0.0777465i
\(604\) 3.12503 12.8815i 0.127155 0.524142i
\(605\) 1.54042 32.3374i 0.0626270 1.31470i
\(606\) 5.43866 0.519329i 0.220930 0.0210963i
\(607\) −31.5973 + 10.9359i −1.28250 + 0.443876i −0.881492 0.472199i \(-0.843460\pi\)
−0.401005 + 0.916076i \(0.631339\pi\)
\(608\) −21.7854 + 14.0006i −0.883513 + 0.567799i
\(609\) −5.44060 + 8.29423i −0.220464 + 0.336099i
\(610\) −1.82780 12.7126i −0.0740053 0.514718i
\(611\) 0.400034 + 8.39775i 0.0161836 + 0.339736i
\(612\) −5.31634 1.02464i −0.214900 0.0414186i
\(613\) −3.18139 33.3170i −0.128495 1.34566i −0.797911 0.602775i \(-0.794062\pi\)
0.669416 0.742887i \(-0.266544\pi\)
\(614\) 7.13856 + 13.8469i 0.288089 + 0.558814i
\(615\) −19.9387 + 5.85453i −0.804006 + 0.236077i
\(616\) 0.00400387 0.428305i 0.000161320 0.0172569i
\(617\) −1.94477 + 6.62328i −0.0782935 + 0.266643i −0.989332 0.145678i \(-0.953464\pi\)
0.911039 + 0.412321i \(0.135282\pi\)
\(618\) 0.597699 6.25938i 0.0240430 0.251789i
\(619\) −8.08274 + 3.23584i −0.324873 + 0.130059i −0.528366 0.849017i \(-0.677195\pi\)
0.203493 + 0.979076i \(0.434771\pi\)
\(620\) −12.6634 + 7.31121i −0.508574 + 0.293625i
\(621\) −4.66645 + 1.10644i −0.187258 + 0.0443999i
\(622\) 20.8491i 0.835974i
\(623\) 2.11241 5.92368i 0.0846321 0.237327i
\(624\) −0.225496 0.493767i −0.00902705 0.0197665i
\(625\) −21.6306 + 20.6247i −0.865224 + 0.824989i
\(626\) −3.69310 + 10.6705i −0.147606 + 0.426479i
\(627\) −0.190842 0.181968i −0.00762151 0.00726709i
\(628\) 19.3819 9.99206i 0.773422 0.398727i
\(629\) 26.3503 + 12.0338i 1.05065 + 0.479818i
\(630\) −6.00088 2.46772i −0.239081 0.0983163i
\(631\) 22.2150 + 34.5671i 0.884363 + 1.37610i 0.926224 + 0.376973i \(0.123035\pi\)
−0.0418607 + 0.999123i \(0.513329\pi\)
\(632\) 13.4203 33.5223i 0.533832 1.33345i
\(633\) 1.06080 + 1.34892i 0.0421632 + 0.0536148i
\(634\) 20.6923 + 10.6676i 0.821797 + 0.423666i
\(635\) −1.48165 4.28095i −0.0587976 0.169885i
\(636\) −1.23584 + 2.70610i −0.0490041 + 0.107304i
\(637\) −0.913104 11.9121i −0.0361785 0.471974i
\(638\) −0.0517228 0.176152i −0.00204773 0.00697391i
\(639\) 2.69011 0.518476i 0.106419 0.0205106i
\(640\) 5.60115 + 23.0882i 0.221405 + 0.912643i
\(641\) 20.1426 + 14.3435i 0.795586 + 0.566534i 0.903981 0.427574i \(-0.140632\pi\)
−0.108394 + 0.994108i \(0.534571\pi\)
\(642\) 0.107565 + 0.0845898i 0.00424524 + 0.00333849i
\(643\) −9.58655 −0.378057 −0.189028 0.981972i \(-0.560534\pi\)
−0.189028 + 0.981972i \(0.560534\pi\)
\(644\) 8.07664 + 14.4711i 0.318264 + 0.570242i
\(645\) −2.56284 −0.100912
\(646\) −12.1759 9.57525i −0.479055 0.376733i
\(647\) 11.7255 + 8.34967i 0.460976 + 0.328259i 0.786840 0.617157i \(-0.211716\pi\)
−0.325864 + 0.945417i \(0.605655\pi\)
\(648\) 0.649284 + 2.67638i 0.0255063 + 0.105138i
\(649\) 0.547420 0.105507i 0.0214881 0.00414149i
\(650\) 1.46890 + 5.00263i 0.0576151 + 0.196219i
\(651\) 7.21648 + 7.01085i 0.282836 + 0.274777i
\(652\) 2.15002 4.70788i 0.0842011 0.184375i
\(653\) 8.21202 + 23.7271i 0.321361 + 0.928512i 0.983780 + 0.179378i \(0.0574086\pi\)
−0.662419 + 0.749133i \(0.730470\pi\)
\(654\) 8.23963 + 4.24782i 0.322195 + 0.166103i
\(655\) 35.4680 + 45.1012i 1.38585 + 1.76225i
\(656\) 0.834366 2.08415i 0.0325765 0.0813722i
\(657\) −9.23321 14.3672i −0.360222 0.560516i
\(658\) −10.7601 + 1.44454i −0.419471 + 0.0563138i
\(659\) 20.5255 + 9.37366i 0.799558 + 0.365146i 0.772923 0.634499i \(-0.218794\pi\)
0.0266346 + 0.999645i \(0.491521\pi\)
\(660\) −0.200906 + 0.103574i −0.00782025 + 0.00403162i
\(661\) −20.2288 19.2881i −0.786810 0.750222i 0.185820 0.982584i \(-0.440506\pi\)
−0.972629 + 0.232362i \(0.925355\pi\)
\(662\) −5.21181 + 15.0585i −0.202563 + 0.585267i
\(663\) 5.12036 4.88225i 0.198858 0.189611i
\(664\) 0.243015 + 0.532128i 0.00943080 + 0.0206506i
\(665\) 22.6333 + 26.6190i 0.877682 + 1.03224i
\(666\) 5.82119i 0.225567i
\(667\) 12.9484 + 12.4753i 0.501365 + 0.483047i
\(668\) 7.35069 4.24392i 0.284407 0.164202i
\(669\) 3.17922 1.27277i 0.122916 0.0492080i
\(670\) 0.679615 7.11725i 0.0262558 0.274963i
\(671\) −0.0867319 + 0.295382i −0.00334825 + 0.0114031i
\(672\) 13.2983 7.51294i 0.512995 0.289818i
\(673\) −9.10512 + 2.67351i −0.350977 + 0.103056i −0.452469 0.891780i \(-0.649457\pi\)
0.101492 + 0.994836i \(0.467638\pi\)
\(674\) −10.3813 20.1370i −0.399875 0.775648i
\(675\) 0.348596 + 3.65066i 0.0134175 + 0.140514i
\(676\) −12.9366 2.49332i −0.497561 0.0958970i
\(677\) −0.00911624 0.191373i −0.000350365 0.00735508i 0.998685 0.0512591i \(-0.0163234\pi\)
−0.999036 + 0.0439041i \(0.986020\pi\)
\(678\) −1.63404 11.3650i −0.0627551 0.436471i
\(679\) 18.7160 9.42839i 0.718256 0.361828i
\(680\) −28.2744 + 18.1709i −1.08427 + 0.696821i
\(681\) 2.20239 0.762255i 0.0843958 0.0292097i
\(682\) −0.185371 + 0.0177008i −0.00709824 + 0.000677800i
\(683\) 0.565967 11.8811i 0.0216561 0.454618i −0.961831 0.273643i \(-0.911771\pi\)
0.983488 0.180976i \(-0.0579255\pi\)
\(684\) 1.38127 5.69369i 0.0528143 0.217704i
\(685\) 20.8341 18.0529i 0.796032 0.689766i
\(686\) 15.2247 2.49377i 0.581283 0.0952127i
\(687\) 7.21503 3.29499i 0.275271 0.125712i
\(688\) 0.171149 0.217634i 0.00652500 0.00829721i
\(689\) −1.94374 3.36665i −0.0740505 0.128259i
\(690\) −6.40996 + 9.86111i −0.244023 + 0.375406i
\(691\) −13.8451 7.99349i −0.526694 0.304087i 0.212975 0.977058i \(-0.431685\pi\)
−0.739669 + 0.672971i \(0.765018\pi\)
\(692\) 24.1394 + 3.47072i 0.917641 + 0.131937i
\(693\) 0.106269 + 0.113559i 0.00403683 + 0.00431374i
\(694\) 10.3425 + 3.03684i 0.392596 + 0.115277i
\(695\) −7.33378 38.0513i −0.278186 1.44337i
\(696\) 7.12527 7.47277i 0.270083 0.283254i
\(697\) 29.2268 + 1.39224i 1.10704 + 0.0527350i
\(698\) 13.6926 9.75045i 0.518272 0.369060i
\(699\) 16.2281 + 14.0617i 0.613802 + 0.531863i
\(700\) 11.8083 4.59974i 0.446312 0.173854i
\(701\) 31.2400 4.49163i 1.17992 0.169646i 0.475685 0.879616i \(-0.342200\pi\)
0.704233 + 0.709969i \(0.251291\pi\)
\(702\) −1.31988 0.528400i −0.0498156 0.0199432i
\(703\) −14.3641 + 27.8625i −0.541753 + 1.05085i
\(704\) −0.0464226 + 0.240863i −0.00174962 + 0.00907788i
\(705\) 8.41210 + 11.8131i 0.316818 + 0.444909i
\(706\) 9.75572 15.1802i 0.367162 0.571314i
\(707\) 15.7162 + 7.35569i 0.591070 + 0.276639i
\(708\) 8.11158 + 9.36126i 0.304852 + 0.351818i
\(709\) −26.8499 28.1594i −1.00837 1.05755i −0.998340 0.0575977i \(-0.981656\pi\)
−0.0100295 0.999950i \(-0.503193\pi\)
\(710\) 3.89721 5.47286i 0.146260 0.205393i
\(711\) 4.87300 + 12.1722i 0.182752 + 0.456492i
\(712\) −3.27320 + 5.66935i −0.122668 + 0.212468i
\(713\) 14.9107 10.5016i 0.558410 0.393287i
\(714\) 6.84837 + 6.04715i 0.256294 + 0.226309i
\(715\) 0.0420349 0.292359i 0.00157202 0.0109336i
\(716\) 18.8125 + 1.79638i 0.703057 + 0.0671338i
\(717\) 28.8075 6.98862i 1.07584 0.260995i
\(718\) 25.3038 + 8.75772i 0.944328 + 0.326835i
\(719\) 11.6131 + 2.81731i 0.433095 + 0.105068i 0.446379 0.894844i \(-0.352713\pi\)
−0.0132838 + 0.999912i \(0.504228\pi\)
\(720\) −0.787702 0.506225i −0.0293559 0.0188659i
\(721\) 11.7359 16.1589i 0.437067 0.601789i
\(722\) 0.612209 0.706527i 0.0227841 0.0262942i
\(723\) 21.2263 1.01113i 0.789414 0.0376044i
\(724\) −24.4979 + 19.2653i −0.910456 + 0.715990i
\(725\) 10.8076 8.49921i 0.401385 0.315653i
\(726\) 9.14989 0.435863i 0.339584 0.0161764i
\(727\) 30.9510 35.7194i 1.14791 1.32476i 0.210073 0.977686i \(-0.432630\pi\)
0.937838 0.347074i \(-0.112825\pi\)
\(728\) −1.29778 + 12.3680i −0.0480988 + 0.458389i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −40.7023 9.87426i −1.50646 0.365463i
\(731\) 3.41014 + 1.18026i 0.126129 + 0.0436535i
\(732\) −6.64721 + 1.61260i −0.245688 + 0.0596033i
\(733\) 26.1686 + 2.49880i 0.966561 + 0.0922954i 0.566383 0.824142i \(-0.308342\pi\)
0.400178 + 0.916438i \(0.368948\pi\)
\(734\) 0.347623 2.41777i 0.0128310 0.0892415i
\(735\) −12.4341 16.4344i −0.458637 0.606193i
\(736\) −8.91926 26.2101i −0.328768 0.966119i
\(737\) −0.0856876 + 0.148415i −0.00315634 + 0.00546694i
\(738\) −2.18532 5.45866i −0.0804426 0.200936i
\(739\) 15.1577 21.2861i 0.557587 0.783021i −0.435527 0.900176i \(-0.643438\pi\)
0.993114 + 0.117155i \(0.0373774\pi\)
\(740\) 18.5427 + 19.4470i 0.681643 + 0.714887i
\(741\) 5.01360 + 5.78600i 0.184179 + 0.212554i
\(742\) 4.11624 2.87355i 0.151112 0.105491i
\(743\) −5.37023 + 8.35624i −0.197015 + 0.306561i −0.925679 0.378310i \(-0.876505\pi\)
0.728664 + 0.684871i \(0.240142\pi\)
\(744\) −6.07494 8.53106i −0.222718 0.312764i
\(745\) −4.91795 + 25.5168i −0.180180 + 0.934862i
\(746\) 4.17341 8.09528i 0.152799 0.296389i
\(747\) −0.197199 0.0789464i −0.00721512 0.00288850i
\(748\) 0.315026 0.0452939i 0.0115185 0.00165611i
\(749\) 0.157755 + 0.404985i 0.00576425 + 0.0147978i
\(750\) −2.47009 2.14035i −0.0901951 0.0781545i
\(751\) −1.59603 + 1.13653i −0.0582400 + 0.0414726i −0.608806 0.793319i \(-0.708351\pi\)
0.550566 + 0.834792i \(0.314412\pi\)
\(752\) −1.56493 0.0745468i −0.0570671 0.00271844i
\(753\) −11.0542 + 11.5933i −0.402838 + 0.422484i
\(754\) 1.00876 + 5.23395i 0.0367369 + 0.190609i
\(755\) 28.6679 + 8.41764i 1.04333 + 0.306349i
\(756\) −1.00450 + 3.30637i −0.0365334 + 0.120251i
\(757\) −6.82719 0.981601i −0.248138 0.0356769i 0.0171233 0.999853i \(-0.494549\pi\)
−0.265262 + 0.964176i \(0.585458\pi\)
\(758\) 23.9907 + 13.8510i 0.871380 + 0.503091i
\(759\) 0.237952 0.151182i 0.00863711 0.00548756i
\(760\) −18.1851 31.4975i −0.659643 1.14254i
\(761\) −9.09533 + 11.5657i −0.329705 + 0.419255i −0.922438 0.386145i \(-0.873807\pi\)
0.592733 + 0.805399i \(0.298049\pi\)
\(762\) 1.16596 0.532478i 0.0422384 0.0192896i
\(763\) 15.6859 + 24.9168i 0.567868 + 0.902050i
\(764\) 1.84197 1.59607i 0.0666400 0.0577439i
\(765\) 2.87719 11.8599i 0.104025 0.428797i
\(766\) 1.23390 25.9027i 0.0445826 0.935904i
\(767\) −16.1129 + 1.53860i −0.581804 + 0.0555556i
\(768\) −14.2393 + 4.92827i −0.513817 + 0.177834i
\(769\) −26.0627 + 16.7495i −0.939845 + 0.604001i −0.918351 0.395768i \(-0.870479\pi\)
−0.0214938 + 0.999769i \(0.506842\pi\)
\(770\) 0.380798 + 0.0217091i 0.0137230 + 0.000782340i
\(771\) 3.73739 + 25.9941i 0.134599 + 0.936154i
\(772\) −1.25744 26.3970i −0.0452564 0.950048i