Properties

Label 168.2.ba.c.101.6
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.6
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07638 + 0.917276i) q^{2} +(1.52791 - 0.815778i) q^{3} +(0.317209 - 1.97468i) q^{4} +(-0.461663 + 0.266541i) q^{5} +(-0.896325 + 2.27961i) q^{6} +(0.489180 + 2.60014i) q^{7} +(1.46989 + 2.41649i) q^{8} +(1.66901 - 2.49287i) q^{9} +O(q^{10})\) \(q+(-1.07638 + 0.917276i) q^{2} +(1.52791 - 0.815778i) q^{3} +(0.317209 - 1.97468i) q^{4} +(-0.461663 + 0.266541i) q^{5} +(-0.896325 + 2.27961i) q^{6} +(0.489180 + 2.60014i) q^{7} +(1.46989 + 2.41649i) q^{8} +(1.66901 - 2.49287i) q^{9} +(0.252435 - 0.710374i) q^{10} +(2.28733 - 3.96177i) q^{11} +(-1.12624 - 3.27591i) q^{12} +4.97924 q^{13} +(-2.91159 - 2.35003i) q^{14} +(-0.487941 + 0.783866i) q^{15} +(-3.79876 - 1.25278i) q^{16} +(-2.16139 + 3.74363i) q^{17} +(0.490150 + 4.21423i) q^{18} +(-0.921087 - 1.59537i) q^{19} +(0.379891 + 0.996188i) q^{20} +(2.86856 + 3.57371i) q^{21} +(1.17199 + 6.36250i) q^{22} +(0.103387 - 0.0596907i) q^{23} +(4.21718 + 2.49307i) q^{24} +(-2.35791 + 4.08402i) q^{25} +(-5.35958 + 4.56734i) q^{26} +(0.516471 - 5.17042i) q^{27} +(5.28962 - 0.141190i) q^{28} -7.74542 q^{29} +(-0.193809 - 1.29132i) q^{30} +(-1.93668 - 1.11814i) q^{31} +(5.23807 - 2.13604i) q^{32} +(0.262906 - 7.91918i) q^{33} +(-1.10746 - 6.01218i) q^{34} +(-0.918880 - 1.07000i) q^{35} +(-4.39320 - 4.08653i) q^{36} +(-7.02261 + 4.05451i) q^{37} +(2.45484 + 0.872340i) q^{38} +(7.60783 - 4.06195i) q^{39} +(-1.32269 - 0.723817i) q^{40} +2.60914 q^{41} +(-6.36575 - 1.21543i) q^{42} -1.87217i q^{43} +(-7.09769 - 5.77346i) q^{44} +(-0.106069 + 1.59573i) q^{45} +(-0.0565317 + 0.159085i) q^{46} +(-2.91482 - 5.04861i) q^{47} +(-6.82614 + 1.18482i) q^{48} +(-6.52141 + 2.54387i) q^{49} +(-1.20816 - 6.55884i) q^{50} +(-0.248430 + 7.48314i) q^{51} +(1.57946 - 9.83243i) q^{52} +(-2.29287 + 3.97137i) q^{53} +(4.18678 + 6.03911i) q^{54} +2.43867i q^{55} +(-5.56416 + 5.00402i) q^{56} +(-2.70880 - 1.68618i) q^{57} +(8.33705 - 7.10469i) q^{58} +(5.71492 + 3.29951i) q^{59} +(1.39311 + 1.21218i) q^{60} +(-1.07564 - 1.86306i) q^{61} +(3.11026 - 0.572919i) q^{62} +(7.29824 + 3.12020i) q^{63} +(-3.67884 + 7.10395i) q^{64} +(-2.29873 + 1.32717i) q^{65} +(6.98109 + 8.76524i) q^{66} +(-10.4812 - 6.05131i) q^{67} +(6.70688 + 5.45557i) q^{68} +(0.109272 - 0.175543i) q^{69} +(1.97055 + 0.308865i) q^{70} -6.20627i q^{71} +(8.47726 + 0.368901i) q^{72} +(8.35520 + 4.82388i) q^{73} +(3.83993 - 10.8059i) q^{74} +(-0.271018 + 8.16355i) q^{75} +(-3.44253 + 1.31279i) q^{76} +(11.4201 + 4.00935i) q^{77} +(-4.46302 + 11.3507i) q^{78} +(-0.0228792 - 0.0396280i) q^{79} +(2.08766 - 0.434165i) q^{80} +(-3.42880 - 8.32126i) q^{81} +(-2.80844 + 2.39330i) q^{82} -3.86459i q^{83} +(7.96688 - 4.53088i) q^{84} -2.30440i q^{85} +(1.71730 + 2.01518i) q^{86} +(-11.8343 + 6.31854i) q^{87} +(12.9357 - 0.296068i) q^{88} +(8.23362 + 14.2610i) q^{89} +(-1.34955 - 1.81491i) q^{90} +(2.43575 + 12.9467i) q^{91} +(-0.0850749 - 0.223092i) q^{92} +(-3.87123 - 0.128520i) q^{93} +(7.76843 + 2.76056i) q^{94} +(0.850463 + 0.491015i) q^{95} +(6.26075 - 7.53677i) q^{96} -7.18828i q^{97} +(4.68611 - 8.72011i) q^{98} +(-6.05860 - 12.3143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07638 + 0.917276i −0.761119 + 0.648612i
\(3\) 1.52791 0.815778i 0.882139 0.470990i
\(4\) 0.317209 1.97468i 0.158605 0.987342i
\(5\) −0.461663 + 0.266541i −0.206462 + 0.119201i −0.599666 0.800250i \(-0.704700\pi\)
0.393204 + 0.919451i \(0.371367\pi\)
\(6\) −0.896325 + 2.27961i −0.365923 + 0.930645i
\(7\) 0.489180 + 2.60014i 0.184893 + 0.982759i
\(8\) 1.46989 + 2.41649i 0.519685 + 0.854358i
\(9\) 1.66901 2.49287i 0.556337 0.830956i
\(10\) 0.252435 0.710374i 0.0798270 0.224640i
\(11\) 2.28733 3.96177i 0.689656 1.19452i −0.282293 0.959328i \(-0.591095\pi\)
0.971949 0.235191i \(-0.0755716\pi\)
\(12\) −1.12624 3.27591i −0.325117 0.945674i
\(13\) 4.97924 1.38099 0.690496 0.723336i \(-0.257392\pi\)
0.690496 + 0.723336i \(0.257392\pi\)
\(14\) −2.91159 2.35003i −0.778155 0.628073i
\(15\) −0.487941 + 0.783866i −0.125986 + 0.202393i
\(16\) −3.79876 1.25278i −0.949689 0.313194i
\(17\) −2.16139 + 3.74363i −0.524213 + 0.907964i 0.475389 + 0.879775i \(0.342307\pi\)
−0.999603 + 0.0281884i \(0.991026\pi\)
\(18\) 0.490150 + 4.21423i 0.115529 + 0.993304i
\(19\) −0.921087 1.59537i −0.211312 0.366003i 0.740814 0.671711i \(-0.234440\pi\)
−0.952125 + 0.305708i \(0.901107\pi\)
\(20\) 0.379891 + 0.996188i 0.0849463 + 0.222754i
\(21\) 2.86856 + 3.57371i 0.625970 + 0.779847i
\(22\) 1.17199 + 6.36250i 0.249869 + 1.35649i
\(23\) 0.103387 0.0596907i 0.0215577 0.0124464i −0.489182 0.872182i \(-0.662705\pi\)
0.510740 + 0.859735i \(0.329371\pi\)
\(24\) 4.21718 + 2.49307i 0.860828 + 0.508896i
\(25\) −2.35791 + 4.08402i −0.471582 + 0.816804i
\(26\) −5.35958 + 4.56734i −1.05110 + 0.895729i
\(27\) 0.516471 5.17042i 0.0993949 0.995048i
\(28\) 5.28962 0.141190i 0.999644 0.0266824i
\(29\) −7.74542 −1.43829 −0.719144 0.694861i \(-0.755466\pi\)
−0.719144 + 0.694861i \(0.755466\pi\)
\(30\) −0.193809 1.29132i −0.0353845 0.235761i
\(31\) −1.93668 1.11814i −0.347838 0.200825i 0.315894 0.948794i \(-0.397695\pi\)
−0.663733 + 0.747970i \(0.731029\pi\)
\(32\) 5.23807 2.13604i 0.925968 0.377602i
\(33\) 0.262906 7.91918i 0.0457660 1.37855i
\(34\) −1.10746 6.01218i −0.189928 1.03108i
\(35\) −0.918880 1.07000i −0.155319 0.180863i
\(36\) −4.39320 4.08653i −0.732201 0.681089i
\(37\) −7.02261 + 4.05451i −1.15451 + 0.666557i −0.949982 0.312304i \(-0.898899\pi\)
−0.204528 + 0.978861i \(0.565566\pi\)
\(38\) 2.45484 + 0.872340i 0.398227 + 0.141512i
\(39\) 7.60783 4.06195i 1.21823 0.650433i
\(40\) −1.32269 0.723817i −0.209135 0.114445i
\(41\) 2.60914 0.407479 0.203740 0.979025i \(-0.434690\pi\)
0.203740 + 0.979025i \(0.434690\pi\)
\(42\) −6.36575 1.21543i −0.982256 0.187545i
\(43\) 1.87217i 0.285503i −0.989759 0.142752i \(-0.954405\pi\)
0.989759 0.142752i \(-0.0455950\pi\)
\(44\) −7.09769 5.77346i −1.07002 0.870383i
\(45\) −0.106069 + 1.59573i −0.0158118 + 0.237877i
\(46\) −0.0565317 + 0.159085i −0.00833515 + 0.0234558i
\(47\) −2.91482 5.04861i −0.425170 0.736415i 0.571267 0.820764i \(-0.306452\pi\)
−0.996436 + 0.0843492i \(0.973119\pi\)
\(48\) −6.82614 + 1.18482i −0.985269 + 0.171013i
\(49\) −6.52141 + 2.54387i −0.931629 + 0.363410i
\(50\) −1.20816 6.55884i −0.170859 0.927559i
\(51\) −0.248430 + 7.48314i −0.0347871 + 1.04785i
\(52\) 1.57946 9.83243i 0.219032 1.36351i
\(53\) −2.29287 + 3.97137i −0.314950 + 0.545510i −0.979427 0.201799i \(-0.935321\pi\)
0.664476 + 0.747309i \(0.268655\pi\)
\(54\) 4.18678 + 6.03911i 0.569749 + 0.821819i
\(55\) 2.43867i 0.328830i
\(56\) −5.56416 + 5.00402i −0.743542 + 0.668690i
\(57\) −2.70880 1.68618i −0.358790 0.223339i
\(58\) 8.33705 7.10469i 1.09471 0.932891i
\(59\) 5.71492 + 3.29951i 0.744019 + 0.429559i 0.823529 0.567275i \(-0.192002\pi\)
−0.0795100 + 0.996834i \(0.525336\pi\)
\(60\) 1.39311 + 1.21218i 0.179849 + 0.156492i
\(61\) −1.07564 1.86306i −0.137722 0.238541i 0.788912 0.614506i \(-0.210645\pi\)
−0.926634 + 0.375965i \(0.877311\pi\)
\(62\) 3.11026 0.572919i 0.395004 0.0727608i
\(63\) 7.29824 + 3.12020i 0.919492 + 0.393108i
\(64\) −3.67884 + 7.10395i −0.459855 + 0.887994i
\(65\) −2.29873 + 1.32717i −0.285123 + 0.164616i
\(66\) 6.98109 + 8.76524i 0.859312 + 1.07893i
\(67\) −10.4812 6.05131i −1.28048 0.739285i −0.303544 0.952817i \(-0.598170\pi\)
−0.976936 + 0.213532i \(0.931503\pi\)
\(68\) 6.70688 + 5.45557i 0.813328 + 0.661585i
\(69\) 0.109272 0.175543i 0.0131548 0.0211329i
\(70\) 1.97055 + 0.308865i 0.235526 + 0.0369164i
\(71\) 6.20627i 0.736549i −0.929717 0.368275i \(-0.879949\pi\)
0.929717 0.368275i \(-0.120051\pi\)
\(72\) 8.47726 + 0.368901i 0.999054 + 0.0434755i
\(73\) 8.35520 + 4.82388i 0.977902 + 0.564592i 0.901636 0.432496i \(-0.142367\pi\)
0.0762659 + 0.997088i \(0.475700\pi\)
\(74\) 3.83993 10.8059i 0.446383 1.25616i
\(75\) −0.271018 + 8.16355i −0.0312945 + 0.942645i
\(76\) −3.44253 + 1.31279i −0.394885 + 0.150587i
\(77\) 11.4201 + 4.00935i 1.30144 + 0.456908i
\(78\) −4.46302 + 11.3507i −0.505337 + 1.28521i
\(79\) −0.0228792 0.0396280i −0.00257411 0.00445849i 0.864735 0.502228i \(-0.167486\pi\)
−0.867310 + 0.497769i \(0.834153\pi\)
\(80\) 2.08766 0.434165i 0.233408 0.0485412i
\(81\) −3.42880 8.32126i −0.380977 0.924584i
\(82\) −2.80844 + 2.39330i −0.310140 + 0.264296i
\(83\) 3.86459i 0.424194i −0.977249 0.212097i \(-0.931971\pi\)
0.977249 0.212097i \(-0.0680292\pi\)
\(84\) 7.96688 4.53088i 0.869258 0.494360i
\(85\) 2.30440i 0.249947i
\(86\) 1.71730 + 2.01518i 0.185181 + 0.217302i
\(87\) −11.8343 + 6.31854i −1.26877 + 0.677419i
\(88\) 12.9357 0.296068i 1.37895 0.0315610i
\(89\) 8.23362 + 14.2610i 0.872762 + 1.51167i 0.859128 + 0.511761i \(0.171007\pi\)
0.0136336 + 0.999907i \(0.495660\pi\)
\(90\) −1.34955 1.81491i −0.142255 0.191308i
\(91\) 2.43575 + 12.9467i 0.255335 + 1.35718i
\(92\) −0.0850749 0.223092i −0.00886967 0.0232589i
\(93\) −3.87123 0.128520i −0.401428 0.0133269i
\(94\) 7.76843 + 2.76056i 0.801253 + 0.284730i
\(95\) 0.850463 + 0.491015i 0.0872557 + 0.0503771i
\(96\) 6.26075 7.53677i 0.638985 0.769219i
\(97\) 7.18828i 0.729859i −0.931035 0.364930i \(-0.881093\pi\)
0.931035 0.364930i \(-0.118907\pi\)
\(98\) 4.68611 8.72011i 0.473369 0.880864i
\(99\) −6.05860 12.3143i −0.608912 1.23763i
\(100\) 7.31670 + 5.95162i 0.731670 + 0.595162i
\(101\) 3.33419 + 1.92499i 0.331764 + 0.191544i 0.656624 0.754218i \(-0.271984\pi\)
−0.324860 + 0.945762i \(0.605317\pi\)
\(102\) −6.59670 8.28262i −0.653170 0.820101i
\(103\) −4.61020 + 2.66170i −0.454256 + 0.262265i −0.709626 0.704578i \(-0.751136\pi\)
0.255370 + 0.966843i \(0.417803\pi\)
\(104\) 7.31894 + 12.0323i 0.717682 + 1.17986i
\(105\) −2.27685 0.885260i −0.222198 0.0863926i
\(106\) −1.17483 6.37793i −0.114110 0.619479i
\(107\) 4.60634 + 7.97842i 0.445312 + 0.771303i 0.998074 0.0620363i \(-0.0197594\pi\)
−0.552762 + 0.833339i \(0.686426\pi\)
\(108\) −10.0461 2.65997i −0.966688 0.255956i
\(109\) −4.24194 2.44909i −0.406304 0.234580i 0.282896 0.959151i \(-0.408705\pi\)
−0.689201 + 0.724571i \(0.742038\pi\)
\(110\) −2.23694 2.62495i −0.213283 0.250279i
\(111\) −7.42233 + 11.9238i −0.704497 + 1.13176i
\(112\) 1.39911 10.4901i 0.132203 0.991223i
\(113\) 3.87615i 0.364637i −0.983240 0.182319i \(-0.941640\pi\)
0.983240 0.182319i \(-0.0583602\pi\)
\(114\) 4.46240 0.669746i 0.417942 0.0627275i
\(115\) −0.0318201 + 0.0551140i −0.00296724 + 0.00513941i
\(116\) −2.45692 + 15.2948i −0.228119 + 1.42008i
\(117\) 8.31041 12.4126i 0.768298 1.14754i
\(118\) −9.17801 + 1.69061i −0.844904 + 0.155634i
\(119\) −10.7913 3.78859i −0.989233 0.347299i
\(120\) −2.61142 0.0269057i −0.238389 0.00245615i
\(121\) −4.96376 8.59748i −0.451251 0.781589i
\(122\) 2.86674 + 1.01871i 0.259543 + 0.0922300i
\(123\) 3.98653 2.12848i 0.359453 0.191918i
\(124\) −2.82231 + 3.46965i −0.253451 + 0.311584i
\(125\) 5.17934i 0.463254i
\(126\) −10.7178 + 3.33597i −0.954818 + 0.297192i
\(127\) 8.19005 0.726750 0.363375 0.931643i \(-0.381624\pi\)
0.363375 + 0.931643i \(0.381624\pi\)
\(128\) −2.55644 11.0211i −0.225960 0.974137i
\(129\) −1.52728 2.86051i −0.134469 0.251854i
\(130\) 1.25694 3.53712i 0.110241 0.310226i
\(131\) −18.5565 + 10.7136i −1.62129 + 0.936053i −0.634715 + 0.772746i \(0.718883\pi\)
−0.986575 + 0.163306i \(0.947784\pi\)
\(132\) −15.5545 3.03119i −1.35384 0.263831i
\(133\) 3.69760 3.17537i 0.320622 0.275340i
\(134\) 16.8325 3.10059i 1.45411 0.267851i
\(135\) 1.13970 + 2.52465i 0.0980894 + 0.217288i
\(136\) −12.2234 + 0.279766i −1.04815 + 0.0239898i
\(137\) 3.91533 + 2.26052i 0.334509 + 0.193129i 0.657841 0.753157i \(-0.271470\pi\)
−0.323332 + 0.946286i \(0.604803\pi\)
\(138\) 0.0434027 + 0.289185i 0.00369468 + 0.0246170i
\(139\) 14.8300 1.25786 0.628931 0.777461i \(-0.283493\pi\)
0.628931 + 0.777461i \(0.283493\pi\)
\(140\) −2.40439 + 1.47508i −0.203208 + 0.124667i
\(141\) −8.57212 5.33597i −0.721903 0.449370i
\(142\) 5.69287 + 6.68034i 0.477735 + 0.560602i
\(143\) 11.3892 19.7266i 0.952410 1.64962i
\(144\) −9.46318 + 7.37891i −0.788598 + 0.614909i
\(145\) 3.57577 2.06447i 0.296952 0.171445i
\(146\) −13.4182 + 2.47168i −1.11050 + 0.204557i
\(147\) −7.88888 + 9.20682i −0.650664 + 0.759366i
\(148\) 5.77873 + 15.1536i 0.475009 + 1.24562i
\(149\) −10.7714 18.6566i −0.882425 1.52841i −0.848636 0.528977i \(-0.822576\pi\)
−0.0337890 0.999429i \(-0.510757\pi\)
\(150\) −7.19651 9.03572i −0.587592 0.737763i
\(151\) 1.40767 2.43816i 0.114555 0.198415i −0.803047 0.595916i \(-0.796789\pi\)
0.917602 + 0.397501i \(0.130122\pi\)
\(152\) 2.50129 4.57081i 0.202882 0.370742i
\(153\) 5.72500 + 11.6362i 0.462839 + 0.940733i
\(154\) −15.9701 + 6.15975i −1.28690 + 0.496366i
\(155\) 1.19213 0.0957539
\(156\) −5.60781 16.3115i −0.448984 1.30597i
\(157\) −3.54427 + 6.13885i −0.282863 + 0.489933i −0.972089 0.234613i \(-0.924618\pi\)
0.689226 + 0.724547i \(0.257951\pi\)
\(158\) 0.0609766 + 0.0216684i 0.00485104 + 0.00172384i
\(159\) −0.263543 + 7.93838i −0.0209003 + 0.629554i
\(160\) −1.84888 + 2.38229i −0.146167 + 0.188337i
\(161\) 0.205779 + 0.239622i 0.0162176 + 0.0188848i
\(162\) 11.3236 + 5.81173i 0.889666 + 0.456612i
\(163\) 5.64257 3.25774i 0.441960 0.255166i −0.262469 0.964941i \(-0.584537\pi\)
0.704429 + 0.709775i \(0.251203\pi\)
\(164\) 0.827643 5.15223i 0.0646280 0.402321i
\(165\) 1.98942 + 3.72607i 0.154876 + 0.290074i
\(166\) 3.54489 + 4.15978i 0.275137 + 0.322862i
\(167\) 17.2470 1.33462 0.667308 0.744782i \(-0.267447\pi\)
0.667308 + 0.744782i \(0.267447\pi\)
\(168\) −4.41936 + 12.1848i −0.340961 + 0.940077i
\(169\) 11.7928 0.907141
\(170\) 2.11377 + 2.48042i 0.162118 + 0.190239i
\(171\) −5.51435 0.366542i −0.421693 0.0280301i
\(172\) −3.69695 0.593869i −0.281889 0.0452821i
\(173\) 14.5387 8.39395i 1.10536 0.638180i 0.167737 0.985832i \(-0.446354\pi\)
0.937624 + 0.347652i \(0.113021\pi\)
\(174\) 6.94241 17.6565i 0.526303 1.33854i
\(175\) −11.7725 4.13307i −0.889914 0.312430i
\(176\) −13.6522 + 12.1843i −1.02907 + 0.918426i
\(177\) 11.4235 + 0.379246i 0.858646 + 0.0285058i
\(178\) −21.9439 7.79787i −1.64476 0.584475i
\(179\) −2.00982 + 3.48110i −0.150221 + 0.260190i −0.931309 0.364231i \(-0.881332\pi\)
0.781088 + 0.624421i \(0.214665\pi\)
\(180\) 3.11741 + 0.715631i 0.232358 + 0.0533400i
\(181\) 14.8596 1.10451 0.552253 0.833676i \(-0.313768\pi\)
0.552253 + 0.833676i \(0.313768\pi\)
\(182\) −14.4975 11.7014i −1.07463 0.867364i
\(183\) −3.16332 1.96911i −0.233840 0.145561i
\(184\) 0.296210 + 0.162095i 0.0218369 + 0.0119498i
\(185\) 2.16139 3.74363i 0.158908 0.275237i
\(186\) 4.28482 3.41265i 0.314178 0.250228i
\(187\) 9.88761 + 17.1258i 0.723053 + 1.25237i
\(188\) −10.8940 + 4.15438i −0.794528 + 0.302989i
\(189\) 13.6964 1.18637i 0.996270 0.0862959i
\(190\) −1.36582 + 0.251588i −0.0990872 + 0.0182521i
\(191\) −17.1154 + 9.88159i −1.23843 + 0.715006i −0.968773 0.247951i \(-0.920243\pi\)
−0.269655 + 0.962957i \(0.586910\pi\)
\(192\) 0.174322 + 13.8553i 0.0125806 + 0.999921i
\(193\) −6.29229 + 10.8986i −0.452929 + 0.784496i −0.998566 0.0535255i \(-0.982954\pi\)
0.545638 + 0.838021i \(0.316287\pi\)
\(194\) 6.59364 + 7.73736i 0.473396 + 0.555510i
\(195\) −2.42957 + 3.90305i −0.173985 + 0.279504i
\(196\) 2.95469 + 13.6847i 0.211049 + 0.977475i
\(197\) 8.41804 0.599761 0.299880 0.953977i \(-0.403053\pi\)
0.299880 + 0.953977i \(0.403053\pi\)
\(198\) 17.8170 + 7.69748i 1.26620 + 0.547036i
\(199\) 12.3980 + 7.15800i 0.878873 + 0.507417i 0.870287 0.492546i \(-0.163934\pi\)
0.00858618 + 0.999963i \(0.497267\pi\)
\(200\) −13.3349 + 0.305204i −0.942918 + 0.0215812i
\(201\) −20.9508 0.695538i −1.47776 0.0490595i
\(202\) −5.35462 + 0.986336i −0.376750 + 0.0693983i
\(203\) −3.78890 20.1391i −0.265929 1.41349i
\(204\) 14.6980 + 2.86429i 1.02907 + 0.200540i
\(205\) −1.20454 + 0.695443i −0.0841290 + 0.0485719i
\(206\) 2.52084 7.09384i 0.175635 0.494251i
\(207\) 0.0237536 0.357356i 0.00165099 0.0248379i
\(208\) −18.9149 6.23787i −1.31151 0.432518i
\(209\) −8.42732 −0.582930
\(210\) 3.26279 1.13562i 0.225154 0.0783650i
\(211\) 9.62315i 0.662485i −0.943546 0.331243i \(-0.892532\pi\)
0.943546 0.331243i \(-0.107468\pi\)
\(212\) 7.11489 + 5.78746i 0.488653 + 0.397484i
\(213\) −5.06294 9.48262i −0.346907 0.649739i
\(214\) −12.2766 4.36256i −0.839212 0.298219i
\(215\) 0.499011 + 0.864312i 0.0340323 + 0.0589456i
\(216\) 13.2534 6.35191i 0.901781 0.432193i
\(217\) 1.95994 5.58261i 0.133049 0.378972i
\(218\) 6.81245 1.25487i 0.461397 0.0849907i
\(219\) 16.7012 + 0.554457i 1.12856 + 0.0374667i
\(220\) 4.81561 + 0.773569i 0.324668 + 0.0521540i
\(221\) −10.7621 + 18.6404i −0.723935 + 1.25389i
\(222\) −2.94814 19.6429i −0.197866 1.31835i
\(223\) 20.1840i 1.35162i −0.737076 0.675810i \(-0.763794\pi\)
0.737076 0.675810i \(-0.236206\pi\)
\(224\) 8.11635 + 12.5748i 0.542296 + 0.840187i
\(225\) 6.24555 + 12.6942i 0.416370 + 0.846283i
\(226\) 3.55550 + 4.17223i 0.236508 + 0.277532i
\(227\) 1.03403 + 0.597000i 0.0686313 + 0.0396243i 0.533923 0.845533i \(-0.320717\pi\)
−0.465292 + 0.885157i \(0.654051\pi\)
\(228\) −4.18892 + 4.81416i −0.277418 + 0.318826i
\(229\) −11.4021 19.7490i −0.753472 1.30505i −0.946130 0.323786i \(-0.895044\pi\)
0.192658 0.981266i \(-0.438289\pi\)
\(230\) −0.0163041 0.0885117i −0.00107506 0.00583629i
\(231\) 20.7195 3.19031i 1.36325 0.209907i
\(232\) −11.3849 18.7167i −0.747457 1.22881i
\(233\) −14.1080 + 8.14528i −0.924249 + 0.533615i −0.884988 0.465614i \(-0.845834\pi\)
−0.0392607 + 0.999229i \(0.512500\pi\)
\(234\) 2.44057 + 20.9837i 0.159545 + 1.37175i
\(235\) 2.69133 + 1.55384i 0.175563 + 0.101361i
\(236\) 8.32831 10.2385i 0.542127 0.666471i
\(237\) −0.0672850 0.0418836i −0.00437063 0.00272063i
\(238\) 15.0907 5.82058i 0.978186 0.377292i
\(239\) 20.2417i 1.30933i 0.755920 + 0.654664i \(0.227190\pi\)
−0.755920 + 0.654664i \(0.772810\pi\)
\(240\) 2.83558 2.36643i 0.183036 0.152753i
\(241\) −7.99312 4.61483i −0.514882 0.297267i 0.219956 0.975510i \(-0.429409\pi\)
−0.734838 + 0.678242i \(0.762742\pi\)
\(242\) 13.2292 + 4.70106i 0.850404 + 0.302196i
\(243\) −12.0272 9.91699i −0.771545 0.636175i
\(244\) −4.02016 + 1.53307i −0.257365 + 0.0981446i
\(245\) 2.33265 2.91263i 0.149027 0.186081i
\(246\) −2.33864 + 5.94781i −0.149106 + 0.379218i
\(247\) −4.58631 7.94372i −0.291820 0.505447i
\(248\) −0.144731 6.32352i −0.00919041 0.401544i
\(249\) −3.15265 5.90474i −0.199791 0.374198i
\(250\) 4.75088 + 5.57496i 0.300472 + 0.352591i
\(251\) 8.22152i 0.518938i −0.965751 0.259469i \(-0.916452\pi\)
0.965751 0.259469i \(-0.0835475\pi\)
\(252\) 8.47647 13.4220i 0.533967 0.845505i
\(253\) 0.546129i 0.0343349i
\(254\) −8.81565 + 7.51254i −0.553143 + 0.471379i
\(255\) −1.87987 3.52091i −0.117722 0.220488i
\(256\) 12.8611 + 9.51798i 0.803819 + 0.594874i
\(257\) 6.71468 + 11.6302i 0.418850 + 0.725470i 0.995824 0.0912928i \(-0.0290999\pi\)
−0.576974 + 0.816763i \(0.695767\pi\)
\(258\) 4.26781 + 1.67807i 0.265702 + 0.104472i
\(259\) −13.9776 16.2763i −0.868525 1.01136i
\(260\) 1.89157 + 4.96026i 0.117310 + 0.307622i
\(261\) −12.9272 + 19.3083i −0.800174 + 1.19515i
\(262\) 10.1466 28.5534i 0.626860 1.76404i
\(263\) −13.0415 7.52949i −0.804170 0.464288i 0.0407569 0.999169i \(-0.487023\pi\)
−0.844927 + 0.534881i \(0.820356\pi\)
\(264\) 19.5231 11.0050i 1.20156 0.677313i
\(265\) 2.44458i 0.150170i
\(266\) −1.06734 + 6.80964i −0.0654431 + 0.417526i
\(267\) 24.2141 + 15.0728i 1.48188 + 0.922439i
\(268\) −15.2742 + 18.7775i −0.933018 + 1.14702i
\(269\) −11.5014 6.64035i −0.701254 0.404869i 0.106560 0.994306i \(-0.466016\pi\)
−0.807814 + 0.589437i \(0.799350\pi\)
\(270\) −3.54256 1.67208i −0.215593 0.101760i
\(271\) 16.2954 9.40818i 0.989878 0.571506i 0.0846401 0.996412i \(-0.473026\pi\)
0.905238 + 0.424905i \(0.139693\pi\)
\(272\) 12.9005 11.5134i 0.782208 0.698103i
\(273\) 14.2832 + 17.7943i 0.864460 + 1.07696i
\(274\) −6.28792 + 1.15825i −0.379867 + 0.0699726i
\(275\) 10.7866 + 18.6830i 0.650459 + 1.12663i
\(276\) −0.311980 0.271462i −0.0187790 0.0163401i
\(277\) 20.1344 + 11.6246i 1.20976 + 0.698454i 0.962706 0.270548i \(-0.0872049\pi\)
0.247052 + 0.969002i \(0.420538\pi\)
\(278\) −15.9628 + 13.6032i −0.957383 + 0.815864i
\(279\) −6.01973 + 2.96170i −0.360392 + 0.177312i
\(280\) 1.23499 3.79325i 0.0738047 0.226690i
\(281\) 21.2736i 1.26908i −0.772892 0.634538i \(-0.781190\pi\)
0.772892 0.634538i \(-0.218810\pi\)
\(282\) 14.1215 2.11944i 0.840921 0.126211i
\(283\) −4.31186 + 7.46836i −0.256314 + 0.443948i −0.965251 0.261323i \(-0.915841\pi\)
0.708938 + 0.705271i \(0.249175\pi\)
\(284\) −12.2554 1.96869i −0.727226 0.116820i
\(285\) 1.69999 + 0.0564373i 0.100699 + 0.00334306i
\(286\) 5.83563 + 31.6804i 0.345068 + 1.87330i
\(287\) 1.27634 + 6.78411i 0.0753399 + 0.400454i
\(288\) 3.41753 16.6229i 0.201380 0.979513i
\(289\) −0.843181 1.46043i −0.0495989 0.0859078i
\(290\) −1.95522 + 5.50214i −0.114814 + 0.323097i
\(291\) −5.86404 10.9830i −0.343756 0.643837i
\(292\) 12.1760 14.9687i 0.712545 0.875977i
\(293\) 22.7441i 1.32872i 0.747411 + 0.664362i \(0.231297\pi\)
−0.747411 + 0.664362i \(0.768703\pi\)
\(294\) 0.0462789 17.1464i 0.00269904 0.999996i
\(295\) −3.51782 −0.204815
\(296\) −20.1201 11.0104i −1.16946 0.639965i
\(297\) −19.3027 13.8726i −1.12006 0.804970i
\(298\) 28.7074 + 10.2013i 1.66297 + 0.590947i
\(299\) 0.514790 0.297214i 0.0297711 0.0171883i
\(300\) 16.0345 + 3.12473i 0.925750 + 0.180406i
\(301\) 4.86790 0.915828i 0.280581 0.0527875i
\(302\) 0.721270 + 3.91563i 0.0415044 + 0.225319i
\(303\) 6.66470 + 0.221259i 0.382877 + 0.0127110i
\(304\) 1.50034 + 7.21433i 0.0860507 + 0.413770i
\(305\) 0.993166 + 0.573405i 0.0568685 + 0.0328331i
\(306\) −16.8359 7.27364i −0.962446 0.415807i
\(307\) −22.8169 −1.30223 −0.651114 0.758980i \(-0.725698\pi\)
−0.651114 + 0.758980i \(0.725698\pi\)
\(308\) 11.5397 21.2792i 0.657538 1.21250i
\(309\) −4.87261 + 7.82773i −0.277193 + 0.445304i
\(310\) −1.28319 + 1.09351i −0.0728801 + 0.0621071i
\(311\) −11.9871 + 20.7622i −0.679725 + 1.17732i 0.295339 + 0.955393i \(0.404567\pi\)
−0.975064 + 0.221925i \(0.928766\pi\)
\(312\) 20.9983 + 12.4136i 1.18880 + 0.702781i
\(313\) 19.4419 11.2248i 1.09892 0.634463i 0.162984 0.986629i \(-0.447888\pi\)
0.935938 + 0.352166i \(0.114555\pi\)
\(314\) −1.81602 9.85883i −0.102484 0.556366i
\(315\) −4.20099 + 0.504805i −0.236699 + 0.0284425i
\(316\) −0.0855102 + 0.0326089i −0.00481032 + 0.00183439i
\(317\) −1.06072 1.83723i −0.0595762 0.103189i 0.834699 0.550706i \(-0.185642\pi\)
−0.894275 + 0.447517i \(0.852308\pi\)
\(318\) −6.99801 8.78649i −0.392429 0.492722i
\(319\) −17.7163 + 30.6856i −0.991924 + 1.71806i
\(320\) −0.195114 4.26020i −0.0109072 0.238152i
\(321\) 13.5467 + 8.43255i 0.756103 + 0.470659i
\(322\) −0.441296 0.0691689i −0.0245925 0.00385463i
\(323\) 7.96330 0.443090
\(324\) −17.5195 + 4.13121i −0.973306 + 0.229512i
\(325\) −11.7406 + 20.3353i −0.651252 + 1.12800i
\(326\) −3.08533 + 8.68238i −0.170881 + 0.480872i
\(327\) −8.47921 0.281498i −0.468902 0.0155669i
\(328\) 3.83515 + 6.30496i 0.211761 + 0.348133i
\(329\) 11.7012 10.0486i 0.645108 0.553997i
\(330\) −5.55921 2.18584i −0.306024 0.120327i
\(331\) 1.25478 0.724448i 0.0689689 0.0398192i −0.465119 0.885248i \(-0.653988\pi\)
0.534088 + 0.845429i \(0.320655\pi\)
\(332\) −7.63134 1.22588i −0.418824 0.0672790i
\(333\) −1.61347 + 24.2735i −0.0884176 + 1.33018i
\(334\) −18.5644 + 15.8203i −1.01580 + 0.865648i
\(335\) 6.45170 0.352494
\(336\) −6.41989 17.1693i −0.350234 0.936662i
\(337\) −21.6680 −1.18033 −0.590165 0.807282i \(-0.700937\pi\)
−0.590165 + 0.807282i \(0.700937\pi\)
\(338\) −12.6936 + 10.8173i −0.690442 + 0.588383i
\(339\) −3.16208 5.92240i −0.171740 0.321661i
\(340\) −4.55045 0.730975i −0.246783 0.0396427i
\(341\) −8.85966 + 5.11513i −0.479778 + 0.277000i
\(342\) 6.27178 4.66364i 0.339139 0.252181i
\(343\) −9.80454 15.7121i −0.529396 0.848375i
\(344\) 4.52408 2.75189i 0.243922 0.148372i
\(345\) −0.00365740 + 0.110167i −0.000196908 + 0.00593121i
\(346\) −7.94972 + 22.3712i −0.427380 + 1.20268i
\(347\) 13.7374 23.7939i 0.737463 1.27732i −0.216171 0.976356i \(-0.569357\pi\)
0.953634 0.300969i \(-0.0973099\pi\)
\(348\) 8.72318 + 25.3733i 0.467612 + 1.36015i
\(349\) −15.6203 −0.836134 −0.418067 0.908416i \(-0.637292\pi\)
−0.418067 + 0.908416i \(0.637292\pi\)
\(350\) 16.4629 6.34982i 0.879977 0.339412i
\(351\) 2.57163 25.7448i 0.137264 1.37415i
\(352\) 3.51868 25.6379i 0.187546 1.36650i
\(353\) 6.72613 11.6500i 0.357996 0.620067i −0.629630 0.776895i \(-0.716793\pi\)
0.987626 + 0.156828i \(0.0501268\pi\)
\(354\) −12.6440 + 10.0703i −0.672021 + 0.535232i
\(355\) 1.65423 + 2.86521i 0.0877973 + 0.152069i
\(356\) 30.7728 11.7351i 1.63096 0.621957i
\(357\) −19.5787 + 3.01465i −1.03621 + 0.159552i
\(358\) −1.02980 5.59056i −0.0544265 0.295470i
\(359\) 19.9816 11.5364i 1.05459 0.608867i 0.130658 0.991428i \(-0.458291\pi\)
0.923930 + 0.382561i \(0.124958\pi\)
\(360\) −4.01197 + 2.08923i −0.211449 + 0.110112i
\(361\) 7.80320 13.5155i 0.410695 0.711344i
\(362\) −15.9947 + 13.6304i −0.840661 + 0.716396i
\(363\) −14.5978 9.08684i −0.766186 0.476936i
\(364\) 26.3383 0.703018i 1.38050 0.0368482i
\(365\) −5.14305 −0.269200
\(366\) 5.21117 0.782125i 0.272392 0.0408823i
\(367\) 18.6893 + 10.7903i 0.975574 + 0.563248i 0.900931 0.433963i \(-0.142885\pi\)
0.0746427 + 0.997210i \(0.476218\pi\)
\(368\) −0.467522 + 0.0972293i −0.0243713 + 0.00506843i
\(369\) 4.35469 6.50424i 0.226696 0.338597i
\(370\) 1.10746 + 6.01218i 0.0575741 + 0.312558i
\(371\) −11.4477 4.01907i −0.594337 0.208659i
\(372\) −1.48177 + 7.60369i −0.0768264 + 0.394233i
\(373\) −0.158888 + 0.0917338i −0.00822689 + 0.00474980i −0.504108 0.863641i \(-0.668179\pi\)
0.495881 + 0.868391i \(0.334845\pi\)
\(374\) −26.3520 9.36433i −1.36263 0.484218i
\(375\) −4.22519 7.91356i −0.218188 0.408654i
\(376\) 7.91544 14.4645i 0.408208 0.745951i
\(377\) −38.5663 −1.98627
\(378\) −13.6544 + 13.8404i −0.702307 + 0.711874i
\(379\) 2.93359i 0.150688i −0.997158 0.0753441i \(-0.975994\pi\)
0.997158 0.0753441i \(-0.0240055\pi\)
\(380\) 1.23937 1.52364i 0.0635786 0.0781612i
\(381\) 12.5137 6.68127i 0.641094 0.342292i
\(382\) 9.35863 26.3359i 0.478829 1.34746i
\(383\) −7.67488 13.2933i −0.392168 0.679255i 0.600567 0.799574i \(-0.294942\pi\)
−0.992735 + 0.120319i \(0.961608\pi\)
\(384\) −12.8968 14.7537i −0.658136 0.752899i
\(385\) −6.34088 + 1.19295i −0.323161 + 0.0607983i
\(386\) −3.22407 17.5028i −0.164101 0.890870i
\(387\) −4.66708 3.12468i −0.237241 0.158836i
\(388\) −14.1946 2.28019i −0.720621 0.115759i
\(389\) 2.00060 3.46513i 0.101434 0.175689i −0.810842 0.585266i \(-0.800990\pi\)
0.912276 + 0.409577i \(0.134324\pi\)
\(390\) −0.965022 6.42978i −0.0488658 0.325585i
\(391\) 0.516059i 0.0260982i
\(392\) −15.7330 12.0197i −0.794636 0.607086i
\(393\) −19.6127 + 31.5074i −0.989332 + 1.58934i
\(394\) −9.06105 + 7.72167i −0.456489 + 0.389012i
\(395\) 0.0211250 + 0.0121965i 0.00106291 + 0.000613673i
\(396\) −26.2386 + 8.05762i −1.31854 + 0.404911i
\(397\) 11.7195 + 20.2987i 0.588183 + 1.01876i 0.994470 + 0.105017i \(0.0334897\pi\)
−0.406288 + 0.913745i \(0.633177\pi\)
\(398\) −19.9109 + 3.66765i −0.998044 + 0.183842i
\(399\) 3.05919 7.86810i 0.153151 0.393898i
\(400\) 14.0735 12.5603i 0.703675 0.628014i
\(401\) 14.5441 8.39703i 0.726297 0.419328i −0.0907689 0.995872i \(-0.528932\pi\)
0.817066 + 0.576544i \(0.195599\pi\)
\(402\) 23.1891 18.4690i 1.15657 0.921151i
\(403\) −9.64320 5.56751i −0.480362 0.277337i
\(404\) 4.85889 5.97334i 0.241739 0.297185i
\(405\) 3.80091 + 2.92770i 0.188869 + 0.145479i
\(406\) 22.5515 + 18.2020i 1.11921 + 0.903350i
\(407\) 37.0960i 1.83878i
\(408\) −18.4481 + 10.3991i −0.913316 + 0.514831i
\(409\) 11.9749 + 6.91372i 0.592121 + 0.341861i 0.765936 0.642917i \(-0.222276\pi\)
−0.173815 + 0.984778i \(0.555609\pi\)
\(410\) 0.658639 1.85346i 0.0325278 0.0915360i
\(411\) 7.82635 + 0.259824i 0.386045 + 0.0128162i
\(412\) 3.79362 + 9.94800i 0.186898 + 0.490103i
\(413\) −5.78354 + 16.4736i −0.284590 + 0.810613i
\(414\) 0.302226 + 0.406441i 0.0148536 + 0.0199755i
\(415\) 1.03007 + 1.78414i 0.0505643 + 0.0875799i
\(416\) 26.0816 10.6359i 1.27876 0.521466i
\(417\) 22.6588 12.0980i 1.10961 0.592440i
\(418\) 9.07104 7.73018i 0.443679 0.378095i
\(419\) 17.5573i 0.857728i 0.903369 + 0.428864i \(0.141086\pi\)
−0.903369 + 0.428864i \(0.858914\pi\)
\(420\) −2.47035 + 4.21524i −0.120541 + 0.205683i
\(421\) 19.8896i 0.969362i 0.874691 + 0.484681i \(0.161064\pi\)
−0.874691 + 0.484681i \(0.838936\pi\)
\(422\) 8.82709 + 10.3582i 0.429696 + 0.504230i
\(423\) −17.4504 1.15994i −0.848467 0.0563980i
\(424\) −12.9671 + 0.296786i −0.629736 + 0.0144132i
\(425\) −10.1927 17.6543i −0.494419 0.856359i
\(426\) 14.1479 + 5.56284i 0.685466 + 0.269520i
\(427\) 4.31803 3.70818i 0.208964 0.179451i
\(428\) 17.2160 6.56525i 0.832168 0.317343i
\(429\) 1.30907 39.4315i 0.0632026 1.90377i
\(430\) −1.32994 0.472602i −0.0641354 0.0227909i
\(431\) 25.3821 + 14.6544i 1.22261 + 0.705876i 0.965474 0.260498i \(-0.0838868\pi\)
0.257139 + 0.966374i \(0.417220\pi\)
\(432\) −8.43933 + 18.9942i −0.406037 + 0.913857i
\(433\) 12.5427i 0.602763i 0.953504 + 0.301381i \(0.0974477\pi\)
−0.953504 + 0.301381i \(0.902552\pi\)
\(434\) 3.01114 + 7.80684i 0.144540 + 0.374740i
\(435\) 3.77930 6.07137i 0.181204 0.291100i
\(436\) −6.18175 + 7.59962i −0.296052 + 0.363956i
\(437\) −0.190457 0.109961i −0.00911081 0.00526013i
\(438\) −18.4855 + 14.7228i −0.883272 + 0.703483i
\(439\) 11.7921 6.80818i 0.562807 0.324937i −0.191464 0.981500i \(-0.561324\pi\)
0.754271 + 0.656563i \(0.227990\pi\)
\(440\) −5.89302 + 3.58458i −0.280939 + 0.170888i
\(441\) −4.54277 + 20.5028i −0.216323 + 0.976322i
\(442\) −5.51431 29.9361i −0.262289 1.42391i
\(443\) −6.72205 11.6429i −0.319374 0.553172i 0.660984 0.750400i \(-0.270139\pi\)
−0.980358 + 0.197228i \(0.936806\pi\)
\(444\) 21.1913 + 18.4391i 1.00570 + 0.875081i
\(445\) −7.60232 4.38920i −0.360384 0.208068i
\(446\) 18.5143 + 21.7257i 0.876677 + 1.02874i
\(447\) −31.6773 19.7185i −1.49828 0.932653i
\(448\) −20.2709 6.09036i −0.957708 0.287742i
\(449\) 16.3428i 0.771266i −0.922652 0.385633i \(-0.873983\pi\)
0.922652 0.385633i \(-0.126017\pi\)
\(450\) −18.3667 7.93500i −0.865817 0.374060i
\(451\) 5.96796 10.3368i 0.281020 0.486742i
\(452\) −7.65417 1.22955i −0.360022 0.0578331i
\(453\) 0.161798 4.87364i 0.00760194 0.228984i
\(454\) −1.66063 + 0.305893i −0.0779374 + 0.0143563i
\(455\) −4.57532 5.32779i −0.214494 0.249770i
\(456\) 0.0929782 9.02429i 0.00435410 0.422601i
\(457\) 14.6395 + 25.3564i 0.684808 + 1.18612i 0.973497 + 0.228699i \(0.0734472\pi\)
−0.288689 + 0.957423i \(0.593219\pi\)
\(458\) 30.3884 + 10.7987i 1.41996 + 0.504589i
\(459\) 18.2399 + 13.1088i 0.851364 + 0.611864i
\(460\) 0.0987391 + 0.0803173i 0.00460374 + 0.00374481i
\(461\) 6.06975i 0.282696i −0.989960 0.141348i \(-0.954856\pi\)
0.989960 0.141348i \(-0.0451437\pi\)
\(462\) −19.3758 + 22.4396i −0.901444 + 1.04398i
\(463\) −3.30400 −0.153550 −0.0767750 0.997048i \(-0.524462\pi\)
−0.0767750 + 0.997048i \(0.524462\pi\)
\(464\) 29.4230 + 9.70327i 1.36593 + 0.450463i
\(465\) 1.82146 0.972510i 0.0844682 0.0450991i
\(466\) 7.71421 21.7084i 0.357354 1.00562i
\(467\) 7.03895 4.06394i 0.325724 0.188057i −0.328217 0.944602i \(-0.606448\pi\)
0.653941 + 0.756546i \(0.273114\pi\)
\(468\) −21.8748 20.3478i −1.01116 0.940579i
\(469\) 10.6070 30.2127i 0.489788 1.39509i
\(470\) −4.32220 + 0.796161i −0.199368 + 0.0367242i
\(471\) −0.407378 + 12.2709i −0.0187710 + 0.565415i
\(472\) 0.427083 + 18.6599i 0.0196581 + 0.858894i
\(473\) −7.41711 4.28227i −0.341039 0.196899i
\(474\) 0.110843 0.0166361i 0.00509120 0.000764120i
\(475\) 8.68736 0.398604
\(476\) −10.9043 + 20.1075i −0.499800 + 0.921628i
\(477\) 6.07328 + 12.3441i 0.278076 + 0.565198i
\(478\) −18.5672 21.7879i −0.849245 0.996554i
\(479\) −0.425876 + 0.737638i −0.0194588 + 0.0337035i −0.875591 0.483054i \(-0.839528\pi\)
0.856132 + 0.516757i \(0.172861\pi\)
\(480\) −0.881497 + 5.14820i −0.0402347 + 0.234982i
\(481\) −34.9673 + 20.1884i −1.59437 + 0.920510i
\(482\) 12.8368 2.36457i 0.584698 0.107703i
\(483\) 0.509889 + 0.198250i 0.0232008 + 0.00902069i
\(484\) −18.5519 + 7.07466i −0.843266 + 0.321575i
\(485\) 1.91597 + 3.31856i 0.0869999 + 0.150688i
\(486\) 22.0425 0.357752i 0.999868 0.0162280i
\(487\) −2.45804 + 4.25745i −0.111384 + 0.192923i −0.916329 0.400427i \(-0.868862\pi\)
0.804944 + 0.593350i \(0.202195\pi\)
\(488\) 2.92100 5.33777i 0.132227 0.241630i
\(489\) 5.96374 9.58062i 0.269690 0.433250i
\(490\) 0.160865 + 5.27480i 0.00726712 + 0.238291i
\(491\) 5.07434 0.229002 0.114501 0.993423i \(-0.463473\pi\)
0.114501 + 0.993423i \(0.463473\pi\)
\(492\) −2.93851 8.54731i −0.132478 0.385342i
\(493\) 16.7408 28.9960i 0.753970 1.30591i
\(494\) 12.2232 + 4.34359i 0.549949 + 0.195427i
\(495\) 6.07929 + 4.07017i 0.273244 + 0.182941i
\(496\) 5.95620 + 6.67378i 0.267441 + 0.299662i
\(497\) 16.1372 3.03599i 0.723850 0.136183i
\(498\) 8.80974 + 3.46392i 0.394774 + 0.155222i
\(499\) 17.6743 10.2042i 0.791209 0.456805i −0.0491790 0.998790i \(-0.515660\pi\)
0.840388 + 0.541985i \(0.182327\pi\)
\(500\) −10.2276 1.64293i −0.457390 0.0734742i
\(501\) 26.3519 14.0697i 1.17732 0.628590i
\(502\) 7.54141 + 8.84952i 0.336589 + 0.394973i
\(503\) 26.6102 1.18649 0.593245 0.805022i \(-0.297847\pi\)
0.593245 + 0.805022i \(0.297847\pi\)
\(504\) 3.18771 + 22.2225i 0.141992 + 0.989868i
\(505\) −2.05236 −0.0913289
\(506\) 0.500951 + 0.587845i 0.0222700 + 0.0261329i
\(507\) 18.0184 9.62033i 0.800224 0.427254i
\(508\) 2.59796 16.1728i 0.115266 0.717551i
\(509\) 24.9978 14.4325i 1.10801 0.639710i 0.169697 0.985496i \(-0.445721\pi\)
0.938313 + 0.345787i \(0.112388\pi\)
\(510\) 5.25311 + 2.06549i 0.232612 + 0.0914613i
\(511\) −8.45553 + 24.0844i −0.374051 + 1.06543i
\(512\) −22.5741 + 1.55218i −0.997644 + 0.0685972i
\(513\) −8.72444 + 3.93844i −0.385194 + 0.173887i
\(514\) −17.8957 6.35932i −0.789343 0.280498i
\(515\) 1.41891 2.45762i 0.0625245 0.108296i
\(516\) −6.13306 + 2.10851i −0.269993 + 0.0928219i
\(517\) −26.6686 −1.17288
\(518\) 29.9752 + 4.69832i 1.31703 + 0.206432i
\(519\) 15.3663 24.6856i 0.674505 1.08358i
\(520\) −6.58599 3.60406i −0.288815 0.158048i
\(521\) −12.5564 + 21.7483i −0.550105 + 0.952811i 0.448161 + 0.893953i \(0.352079\pi\)
−0.998266 + 0.0588577i \(0.981254\pi\)
\(522\) −3.79642 32.6410i −0.166165 1.42866i
\(523\) 1.54754 + 2.68042i 0.0676692 + 0.117206i 0.897875 0.440251i \(-0.145110\pi\)
−0.830206 + 0.557457i \(0.811777\pi\)
\(524\) 15.2697 + 40.0417i 0.667060 + 1.74923i
\(525\) −21.3589 + 3.28876i −0.932179 + 0.143533i
\(526\) 20.9442 3.85799i 0.913212 0.168216i
\(527\) 8.37183 4.83348i 0.364683 0.210550i
\(528\) −10.9197 + 29.7537i −0.475218 + 1.29486i
\(529\) −11.4929 + 19.9062i −0.499690 + 0.865489i
\(530\) 2.24236 + 2.63131i 0.0974018 + 0.114297i
\(531\) 17.7635 8.73962i 0.770871 0.379267i
\(532\) −5.09745 8.30884i −0.221002 0.360234i
\(533\) 12.9915 0.562726
\(534\) −39.8896 + 5.98688i −1.72619 + 0.259078i
\(535\) −4.25316 2.45556i −0.183880 0.106163i
\(536\) −0.783272 34.2224i −0.0338322 1.47818i
\(537\) −0.231008 + 6.95837i −0.00996875 + 0.300276i
\(538\) 18.4710 3.40241i 0.796341 0.146688i
\(539\) −4.83838 + 31.6550i −0.208404 + 1.36348i
\(540\) 5.34692 1.44970i 0.230095 0.0623850i
\(541\) 23.8925 13.7944i 1.02722 0.593066i 0.111033 0.993817i \(-0.464584\pi\)
0.916187 + 0.400751i \(0.131251\pi\)
\(542\) −8.91027 + 25.0742i −0.382729 + 1.07703i
\(543\) 22.7041 12.1221i 0.974328 0.520211i
\(544\) −3.32494 + 24.2262i −0.142556 + 1.03869i
\(545\) 2.61113 0.111849
\(546\) −31.6966 6.05191i −1.35649 0.258998i
\(547\) 32.0757i 1.37146i 0.727856 + 0.685730i \(0.240517\pi\)
−0.727856 + 0.685730i \(0.759483\pi\)
\(548\) 5.70579 7.01449i 0.243739 0.299644i
\(549\) −6.43963 0.428045i −0.274837 0.0182685i
\(550\) −28.7481 10.2158i −1.22582 0.435603i
\(551\) 7.13420 + 12.3568i 0.303927 + 0.526417i
\(552\) 0.584816 + 0.00602542i 0.0248914 + 0.000256459i
\(553\) 0.0918460 0.0788743i 0.00390569 0.00335407i
\(554\) −32.3353 + 5.95626i −1.37380 + 0.253057i
\(555\) 0.248430 7.48314i 0.0105453 0.317642i
\(556\) 4.70420 29.2845i 0.199503 1.24194i
\(557\) 8.23577 14.2648i 0.348961 0.604417i −0.637104 0.770777i \(-0.719868\pi\)
0.986065 + 0.166360i \(0.0532014\pi\)
\(558\) 3.76285 8.70968i 0.159294 0.368710i
\(559\) 9.32199i 0.394278i
\(560\) 2.15013 + 5.21582i 0.0908596 + 0.220409i
\(561\) 29.0782 + 18.1006i 1.22768 + 0.764209i
\(562\) 19.5138 + 22.8986i 0.823138 + 0.965918i
\(563\) −14.5542 8.40290i −0.613388 0.354140i 0.160902 0.986970i \(-0.448560\pi\)
−0.774290 + 0.632830i \(0.781893\pi\)
\(564\) −13.2560 + 15.2346i −0.558179 + 0.641493i
\(565\) 1.03315 + 1.78947i 0.0434651 + 0.0752837i
\(566\) −2.20933 11.9940i −0.0928650 0.504145i
\(567\) 19.9591 12.9859i 0.838203 0.545358i
\(568\) 14.9974 9.12255i 0.629277 0.382774i
\(569\) 32.1947 18.5876i 1.34967 0.779235i 0.361471 0.932383i \(-0.382275\pi\)
0.988203 + 0.153149i \(0.0489414\pi\)
\(570\) −1.88161 + 1.49861i −0.0788121 + 0.0627700i
\(571\) −6.80801 3.93061i −0.284906 0.164491i 0.350736 0.936474i \(-0.385931\pi\)
−0.635642 + 0.771984i \(0.719265\pi\)
\(572\) −35.3411 28.7475i −1.47769 1.20199i
\(573\) −18.0896 + 29.0605i −0.755704 + 1.21402i
\(574\) −7.59674 6.13156i −0.317082 0.255927i
\(575\) 0.562982i 0.0234780i
\(576\) 11.5692 + 21.0274i 0.482050 + 0.876144i
\(577\) 14.7236 + 8.50067i 0.612951 + 0.353888i 0.774120 0.633039i \(-0.218193\pi\)
−0.161168 + 0.986927i \(0.551526\pi\)
\(578\) 2.24721 + 0.798558i 0.0934715 + 0.0332156i
\(579\) −0.723236 + 21.7851i −0.0300567 + 0.905359i
\(580\) −2.94242 7.71589i −0.122177 0.320385i
\(581\) 10.0484 1.89048i 0.416880 0.0784303i
\(582\) 16.3864 + 6.44303i 0.679240 + 0.267072i
\(583\) 10.4891 + 18.1677i 0.434415 + 0.752429i
\(584\) 0.624395 + 27.2808i 0.0258376 + 1.12889i
\(585\) −0.528142 + 7.94551i −0.0218360 + 0.328506i
\(586\) −20.8626 24.4814i −0.861826 1.01132i
\(587\) 24.3750i 1.00606i 0.864268 + 0.503032i \(0.167782\pi\)
−0.864268 + 0.503032i \(0.832218\pi\)
\(588\) 15.6781 + 18.4985i 0.646556 + 0.762867i
\(589\) 4.11963i 0.169746i
\(590\) 3.78653 3.22681i 0.155889 0.132846i
\(591\) 12.8620 6.86725i 0.529072 0.282481i
\(592\) 31.7566 6.60433i 1.30519 0.271436i
\(593\) −0.0286004 0.0495374i −0.00117448 0.00203426i 0.865438 0.501017i \(-0.167041\pi\)
−0.866612 + 0.498983i \(0.833707\pi\)
\(594\) 33.5021 2.77364i 1.37461 0.113804i
\(595\) 5.99174 1.12726i 0.245637 0.0462133i
\(596\) −40.2576 + 15.3520i −1.64902 + 0.628844i
\(597\) 24.7824 + 0.822741i 1.01428 + 0.0336726i
\(598\) −0.281485 + 0.792122i −0.0115108 + 0.0323923i
\(599\) −35.8620 20.7049i −1.46528 0.845980i −0.466033 0.884768i \(-0.654317\pi\)
−0.999247 + 0.0387877i \(0.987650\pi\)
\(600\) −20.1255 + 11.3446i −0.821620 + 0.463142i
\(601\) 23.8559i 0.973104i −0.873652 0.486552i \(-0.838254\pi\)
0.873652 0.486552i \(-0.161746\pi\)
\(602\) −4.39966 + 5.45099i −0.179317 + 0.222166i
\(603\) −32.5783 + 16.0285i −1.32669 + 0.652731i
\(604\) −4.36808 3.55312i −0.177735 0.144574i
\(605\) 4.58317 + 2.64609i 0.186332 + 0.107579i
\(606\) −7.37674 + 5.87521i −0.299660 + 0.238664i
\(607\) −33.6542 + 19.4303i −1.36598 + 0.788650i −0.990412 0.138144i \(-0.955886\pi\)
−0.375570 + 0.926794i \(0.622553\pi\)
\(608\) −8.23248 6.38917i −0.333871 0.259115i
\(609\) −22.2182 27.6799i −0.900325 1.12164i
\(610\) −1.59500 + 0.293803i −0.0645796 + 0.0118958i
\(611\) −14.5136 25.1382i −0.587156 1.01698i
\(612\) 24.7939 7.61396i 1.00223 0.307776i
\(613\) −16.8751 9.74286i −0.681580 0.393510i 0.118870 0.992910i \(-0.462073\pi\)
−0.800450 + 0.599400i \(0.795406\pi\)
\(614\) 24.5597 20.9294i 0.991150 0.844641i
\(615\) −1.27311 + 2.04521i −0.0513366 + 0.0824710i
\(616\) 7.09771 + 33.4898i 0.285975 + 1.34934i
\(617\) 21.5819i 0.868854i −0.900707 0.434427i \(-0.856951\pi\)
0.900707 0.434427i \(-0.143049\pi\)
\(618\) −1.93539 12.8952i −0.0778528 0.518720i
\(619\) −5.60757 + 9.71259i −0.225387 + 0.390382i −0.956436 0.291944i \(-0.905698\pi\)
0.731048 + 0.682326i \(0.239031\pi\)
\(620\) 0.378153 2.35407i 0.0151870 0.0945418i
\(621\) −0.255230 0.565385i −0.0102420 0.0226881i
\(622\) −6.14199 33.3436i −0.246271 1.33696i
\(623\) −33.0529 + 28.3847i −1.32424 + 1.13721i
\(624\) −33.9890 + 5.89948i −1.36065 + 0.236168i
\(625\) −10.4090 18.0290i −0.416362 0.721160i
\(626\) −10.6307 + 29.9158i −0.424890 + 1.19568i
\(627\) −12.8762 + 6.87482i −0.514225 + 0.274554i
\(628\) 10.9980 + 8.94611i 0.438869 + 0.356988i
\(629\) 35.0534i 1.39767i
\(630\) 4.05884 4.39683i 0.161708 0.175174i
\(631\) −22.3220 −0.888626 −0.444313 0.895872i \(-0.646552\pi\)
−0.444313 + 0.895872i \(0.646552\pi\)
\(632\) 0.0621306 0.113536i 0.00247142 0.00451623i
\(633\) −7.85036 14.7033i −0.312024 0.584404i
\(634\) 2.82699 + 1.00459i 0.112274 + 0.0398973i
\(635\) −3.78105 + 2.18299i −0.150046 + 0.0866292i
\(636\) 15.5922 + 3.03854i 0.618270 + 0.120486i
\(637\) −32.4716 + 12.6665i −1.28657 + 0.501866i
\(638\) −9.07756 49.2803i −0.359384 1.95102i
\(639\) −15.4714 10.3583i −0.612040 0.409770i
\(640\) 4.11779 + 4.40664i 0.162770 + 0.174188i
\(641\) 10.9414 + 6.31703i 0.432160 + 0.249508i 0.700266 0.713882i \(-0.253065\pi\)
−0.268107 + 0.963389i \(0.586398\pi\)
\(642\) −22.3164 + 3.34939i −0.880759 + 0.132190i
\(643\) −25.9092 −1.02176 −0.510879 0.859652i \(-0.670680\pi\)
−0.510879 + 0.859652i \(0.670680\pi\)
\(644\) 0.538452 0.330338i 0.0212180 0.0130172i
\(645\) 1.46753 + 0.913508i 0.0577839 + 0.0359693i
\(646\) −8.57157 + 7.30454i −0.337244 + 0.287393i
\(647\) 8.29783 14.3723i 0.326221 0.565032i −0.655538 0.755163i \(-0.727558\pi\)
0.981759 + 0.190131i \(0.0608912\pi\)
\(648\) 15.0683 20.5170i 0.591938 0.805984i
\(649\) 26.1438 15.0941i 1.02623 0.592496i
\(650\) −6.01570 32.6580i −0.235955 1.28095i
\(651\) −1.55956 10.1286i −0.0611240 0.396971i
\(652\) −4.64313 12.1757i −0.181839 0.476836i
\(653\) −2.57443 4.45904i −0.100745 0.174496i 0.811247 0.584704i \(-0.198789\pi\)
−0.911992 + 0.410208i \(0.865456\pi\)
\(654\) 9.38511 7.47478i 0.366987 0.292287i
\(655\) 5.71124 9.89216i 0.223157 0.386519i
\(656\) −9.91149 3.26867i −0.386979 0.127620i
\(657\) 25.9702 12.7773i 1.01319 0.498490i
\(658\) −3.37766 + 21.5494i −0.131675 + 0.840082i
\(659\) −20.6891 −0.805934 −0.402967 0.915214i \(-0.632021\pi\)
−0.402967 + 0.915214i \(0.632021\pi\)
\(660\) 7.98887 2.74652i 0.310966 0.106908i
\(661\) 12.3911 21.4621i 0.481960 0.834779i −0.517826 0.855486i \(-0.673258\pi\)
0.999786 + 0.0207072i \(0.00659177\pi\)
\(662\) −0.686108 + 1.93076i −0.0266663 + 0.0750413i
\(663\) −1.23699 + 37.2603i −0.0480408 + 1.44707i
\(664\) 9.33873 5.68053i 0.362413 0.220447i
\(665\) −0.860676 + 2.45151i −0.0333756 + 0.0950657i
\(666\) −20.5288 27.6076i −0.795473 1.06977i
\(667\) −0.800778 + 0.462329i −0.0310063 + 0.0179015i
\(668\) 5.47091 34.0574i 0.211676 1.31772i
\(669\) −16.4657 30.8393i −0.636599 1.19232i
\(670\) −6.94451 + 5.91799i −0.268290 + 0.228632i
\(671\) −9.84137 −0.379922
\(672\) 22.6593 + 12.5920i 0.874100 + 0.485746i
\(673\) 0.492833 0.0189973 0.00949866 0.999955i \(-0.496976\pi\)
0.00949866 + 0.999955i \(0.496976\pi\)
\(674\) 23.3231 19.8755i 0.898372 0.765577i
\(675\) 19.8983 + 14.3007i 0.765887 + 0.550433i
\(676\) 3.74079 23.2871i 0.143877 0.895659i
\(677\) −35.2987 + 20.3797i −1.35664 + 0.783256i −0.989169 0.146779i \(-0.953109\pi\)
−0.367471 + 0.930035i \(0.619776\pi\)
\(678\) 8.83609 + 3.47429i 0.339348 + 0.133429i
\(679\) 18.6905 3.51636i 0.717276 0.134946i
\(680\) 5.56854 3.38721i 0.213544 0.129894i
\(681\) 2.06693 + 0.0686192i 0.0792049 + 0.00262949i
\(682\) 4.84442 13.6326i 0.185502 0.522019i
\(683\) −14.8402 + 25.7039i −0.567843 + 0.983532i 0.428936 + 0.903335i \(0.358888\pi\)
−0.996779 + 0.0801976i \(0.974445\pi\)
\(684\) −2.47301 + 10.7728i −0.0945577 + 0.411910i
\(685\) −2.41009 −0.0920846
\(686\) 24.9658 + 7.91882i 0.953200 + 0.302342i
\(687\) −33.5322 20.8731i −1.27933 0.796360i
\(688\) −2.34541 + 7.11192i −0.0894179 + 0.271139i
\(689\) −11.4168 + 19.7744i −0.434944 + 0.753346i
\(690\) −0.0971170 0.121937i −0.00369718 0.00464207i
\(691\) −3.83116 6.63576i −0.145744 0.252436i 0.783906 0.620879i \(-0.213224\pi\)
−0.929650 + 0.368443i \(0.879891\pi\)
\(692\) −11.9636 31.3721i −0.454787 1.19259i
\(693\) 29.0550 21.7771i 1.10371 0.827242i
\(694\) 7.03883 + 38.2124i 0.267190 + 1.45052i
\(695\) −6.84645 + 3.95280i −0.259701 + 0.149938i
\(696\) −32.6638 19.3099i −1.23812 0.731939i
\(697\) −5.63936 + 9.76765i −0.213606 + 0.369976i
\(698\) 16.8134 14.3281i 0.636398 0.542327i
\(699\) −14.9111 + 23.9543i −0.563988 + 0.906034i
\(700\) −11.8958 + 21.9358i −0.449620 + 0.829097i
\(701\) 6.75507 0.255136 0.127568 0.991830i \(-0.459283\pi\)
0.127568 + 0.991830i \(0.459283\pi\)
\(702\) 20.8470 + 30.0702i 0.786819 + 1.13493i
\(703\) 12.9369 + 7.46910i 0.487923 + 0.281702i
\(704\) 19.7295 + 30.8238i 0.743585 + 1.16172i
\(705\) 5.37969 + 0.178598i 0.202611 + 0.00672640i
\(706\) 3.44636 + 18.7096i 0.129706 + 0.704145i
\(707\) −3.37423 + 9.61100i −0.126901 + 0.361459i
\(708\) 4.37254 22.4376i 0.164330 0.843256i
\(709\) −36.0884 + 20.8357i −1.35533 + 0.782499i −0.988990 0.147982i \(-0.952722\pi\)
−0.366339 + 0.930482i \(0.619389\pi\)
\(710\) −4.40877 1.56668i −0.165458 0.0587965i
\(711\) −0.136973 0.00910466i −0.00513689 0.000341452i
\(712\) −22.3591 + 40.8586i −0.837944 + 1.53124i
\(713\) −0.266971 −0.00999815
\(714\) 18.3090 21.2040i 0.685195 0.793540i
\(715\) 12.1427i 0.454112i
\(716\) 6.23655 + 5.07299i 0.233071 + 0.189587i
\(717\) 16.5127 + 30.9275i 0.616680 + 1.15501i
\(718\) −10.9258 + 30.7462i −0.407749 + 1.14744i
\(719\) −23.2782 40.3190i −0.868131 1.50365i −0.863904 0.503656i \(-0.831988\pi\)
−0.00422645 0.999991i \(-0.501345\pi\)
\(720\) 2.40202 5.92890i 0.0895179 0.220957i
\(721\) −9.17600 10.6851i −0.341732 0.397934i
\(722\) 3.99823 + 21.7056i 0.148799 + 0.807799i
\(723\) −15.9774 0.530429i −0.594208 0.0197269i
\(724\) 4.71360 29.3431i 0.175180 1.09053i
\(725\) 18.2630 31.6325i 0.678271 1.17480i
\(726\) 24.0480 3.60928i 0.892505 0.133953i
\(727\) 10.7218i 0.397651i 0.980035 + 0.198825i \(0.0637127\pi\)
−0.980035 + 0.198825i \(0.936287\pi\)
\(728\) −27.7053 + 24.9162i −1.02683 + 0.923456i
\(729\) −26.4665 5.34075i −0.980241 0.197805i
\(730\) 5.53590 4.71760i 0.204893 0.174606i
\(731\) 7.00871 + 4.04648i 0.259227 + 0.149665i
\(732\) −4.89180 + 5.62195i −0.180806 + 0.207793i
\(733\) 12.5202 + 21.6857i 0.462445 + 0.800979i 0.999082 0.0428345i \(-0.0136388\pi\)
−0.536637 + 0.843813i \(0.680305\pi\)
\(734\) −30.0145 + 5.52876i −1.10786 + 0.204070i
\(735\) 1.18801 6.35316i 0.0438203 0.234340i
\(736\) 0.414048 0.533503i 0.0152620 0.0196652i
\(737\) −47.9478 + 27.6827i −1.76618 + 1.01971i
\(738\) 1.27887 + 10.9955i 0.0470758 + 0.404751i
\(739\) 45.0173 + 25.9908i 1.65599 + 0.956086i 0.974538 + 0.224224i \(0.0719846\pi\)
0.681452 + 0.731863i \(0.261349\pi\)
\(740\) −6.70688 5.45557i −0.246550 0.200551i
\(741\) −13.4878 8.39588i −0.495486 0.308430i
\(742\) 16.0088 6.17468i 0.587700 0.226679i
\(743\) 26.4603i 0.970735i 0.874310 + 0.485367i \(0.161314\pi\)
−0.874310 + 0.485367i \(0.838686\pi\)
\(744\) −5.37972 9.54370i −0.197230 0.349889i
\(745\) 9.94549 + 5.74203i 0.364375 + 0.210372i
\(746\) 0.0868790 0.244485i 0.00318087 0.00895122i
\(747\) −9.63391 6.45004i −0.352486 0.235995i
\(748\) 36.9546 14.0924i 1.35119 0.515270i
\(749\) −18.4916 + 15.8800i −0.675670 + 0.580242i
\(750\) 11.8068 + 4.64237i 0.431125 + 0.169515i
\(751\) −9.69510 16.7924i −0.353779 0.612763i 0.633129 0.774046i \(-0.281770\pi\)
−0.986908 + 0.161283i \(0.948437\pi\)
\(752\) 4.74790 + 22.8300i 0.173138 + 0.832526i
\(753\) −6.70694 12.5617i −0.244414 0.457775i
\(754\) 41.5122 35.3759i 1.51178 1.28832i
\(755\) 1.50081i 0.0546202i
\(756\) 2.00192 27.4225i 0.0728093 0.997346i
\(757\) 5.19772i 0.188914i 0.995529 + 0.0944572i \(0.0301115\pi\)
−0.995529 + 0.0944572i \(0.969888\pi\)
\(758\) 2.69091 + 3.15767i 0.0977382 + 0.114692i
\(759\) −0.445520 0.834436i −0.0161714 0.0302881i
\(760\) 0.0635562 + 2.77687i 0.00230543 + 0.100728i
\(761\) 18.8681 + 32.6805i 0.683969 + 1.18467i 0.973760 + 0.227578i \(0.0730808\pi\)
−0.289791 + 0.957090i \(0.593586\pi\)
\(762\) −7.34095 + 18.6701i −0.265934 + 0.676346i
\(763\) 4.29288 12.2277i 0.155413 0.442671i
\(764\) 14.0839 + 36.9321i 0.509536 + 1.33616i
\(765\) −5.74456 3.84606i −0.207695 0.139055i
\(766\) 20.4547 + 7.26871i 0.739060 + 0.262629i
\(767\) 28.4559 + 16.4290i 1.02748 + 0.593218i
\(768\) 27.4152 + 4.05080i 0.989259 + 0.146171i
\(769\) 13.9517i 0.503110i −0.967843 0.251555i \(-0.919058\pi\)
0.967843 0.251555i \(-0.0809419\pi\)
\(770\) 5.73096 7.10041i 0.206529 0.255881i
\(771\) 19.7471 + 12.2921i 0.711173 + 0.442691i
\(772\) 19.5253 + 15.8824i 0.702729 + 0.571620i