Properties

Label 546.2.bv.a.515.7
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.7
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.540391 + 1.64559i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.97621 - 0.529524i) q^{5} +(0.947888 - 1.44966i) q^{6} +(2.60708 + 0.450728i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.41596 - 1.77853i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.540391 + 1.64559i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.97621 - 0.529524i) q^{5} +(0.947888 - 1.44966i) q^{6} +(2.60708 + 0.450728i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.41596 - 1.77853i) q^{9} +(1.77182 + 1.02296i) q^{10} +(-4.21263 + 1.12877i) q^{11} +(-1.29079 + 1.15493i) q^{12} +(-1.63756 - 3.21223i) q^{13} +(-2.40158 - 1.11013i) q^{14} +(1.93931 - 2.96589i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.80830 - 3.13207i) q^{17} +(1.87332 + 2.34322i) q^{18} +(-0.449449 + 1.67737i) q^{19} +(-1.44669 - 1.44669i) q^{20} +(-2.15056 + 4.04662i) q^{21} +4.36124 q^{22} +(0.976570 + 1.69147i) q^{23} +(1.54572 - 0.781496i) q^{24} +(-0.705120 - 0.407101i) q^{25} +(0.750376 + 3.52660i) q^{26} +(4.23229 - 3.01458i) q^{27} +(2.03243 + 1.69388i) q^{28} -7.12520i q^{29} +(-2.64085 + 2.36290i) q^{30} +(-1.91641 + 0.513500i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(0.418969 - 7.54225i) q^{33} +(-2.55733 + 2.55733i) q^{34} +(-4.91346 - 2.27124i) q^{35} +(-1.20302 - 2.74823i) q^{36} +(-2.87798 - 0.771152i) q^{37} +(0.868269 - 1.50389i) q^{38} +(6.17094 - 0.958900i) q^{39} +(1.02296 + 1.77182i) q^{40} +(5.01711 - 5.01711i) q^{41} +(3.12462 - 3.35213i) q^{42} -12.4270i q^{43} +(-4.21263 - 1.12877i) q^{44} +(3.83266 + 4.79405i) q^{45} +(-0.505510 - 1.88659i) q^{46} +(-0.536532 + 2.00237i) q^{47} +(-1.69532 + 0.354805i) q^{48} +(6.59369 + 2.35017i) q^{49} +(0.575728 + 0.575728i) q^{50} +(4.17693 + 4.66828i) q^{51} +(0.187944 - 3.60065i) q^{52} +(-6.45843 - 3.72878i) q^{53} +(-4.86831 + 1.81646i) q^{54} +8.92275 q^{55} +(-1.52477 - 2.16219i) q^{56} +(-2.51739 - 1.64604i) q^{57} +(-1.84414 + 6.88241i) q^{58} +(11.3187 - 3.03283i) q^{59} +(3.16243 - 1.59888i) q^{60} +(-5.54572 - 9.60547i) q^{61} +1.98401 q^{62} +(-5.49695 - 5.72570i) q^{63} +1.00000i q^{64} +(1.53521 + 7.21516i) q^{65} +(-2.35677 + 7.17682i) q^{66} +(-7.55021 + 2.02307i) q^{67} +(3.13207 - 1.80830i) q^{68} +(-3.31120 + 0.692983i) q^{69} +(4.15819 + 3.46555i) q^{70} +(-5.58229 + 5.58229i) q^{71} +(0.450730 + 2.96595i) q^{72} +(1.97747 + 7.38003i) q^{73} +(2.58032 + 1.48975i) q^{74} +(1.05096 - 0.940347i) q^{75} +(-1.22792 + 1.22792i) q^{76} +(-11.4914 + 1.04404i) q^{77} +(-6.20885 - 0.670930i) q^{78} +(-4.09412 - 7.09122i) q^{79} +(-0.529524 - 1.97621i) q^{80} +(2.67368 + 8.59369i) q^{81} +(-6.14468 + 3.54763i) q^{82} +(-6.47658 + 6.47658i) q^{83} +(-3.88574 + 2.42920i) q^{84} +(-5.23209 + 5.23209i) q^{85} +(-3.21636 + 12.0036i) q^{86} +(11.7252 + 3.85039i) q^{87} +(3.77694 + 2.18062i) q^{88} +(0.741628 - 2.76779i) q^{89} +(-2.46128 - 5.62266i) q^{90} +(-2.82140 - 9.11261i) q^{91} +1.95314i q^{92} +(0.190597 - 3.43112i) q^{93} +(1.03650 - 1.79527i) q^{94} +(1.77641 - 3.07683i) q^{95} +(1.72938 + 0.0960666i) q^{96} +(-0.184292 - 0.184292i) q^{97} +(-5.76075 - 3.97666i) q^{98} +(12.1851 + 4.76522i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) −0.540391 + 1.64559i −0.311995 + 0.950084i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −1.97621 0.529524i −0.883788 0.236810i −0.211747 0.977325i \(-0.567915\pi\)
−0.672041 + 0.740514i \(0.734582\pi\)
\(6\) 0.947888 1.44966i 0.386974 0.591820i
\(7\) 2.60708 + 0.450728i 0.985382 + 0.170359i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.41596 1.77853i −0.805318 0.592842i
\(10\) 1.77182 + 1.02296i 0.560299 + 0.323489i
\(11\) −4.21263 + 1.12877i −1.27016 + 0.340337i −0.830091 0.557629i \(-0.811711\pi\)
−0.440065 + 0.897966i \(0.645045\pi\)
\(12\) −1.29079 + 1.15493i −0.372619 + 0.333400i
\(13\) −1.63756 3.21223i −0.454177 0.890911i
\(14\) −2.40158 1.11013i −0.641850 0.296695i
\(15\) 1.93931 2.96589i 0.500727 0.765789i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.80830 3.13207i 0.438578 0.759639i −0.559002 0.829166i \(-0.688816\pi\)
0.997580 + 0.0695269i \(0.0221490\pi\)
\(18\) 1.87332 + 2.34322i 0.441545 + 0.552302i
\(19\) −0.449449 + 1.67737i −0.103111 + 0.384814i −0.998124 0.0612251i \(-0.980499\pi\)
0.895013 + 0.446040i \(0.147166\pi\)
\(20\) −1.44669 1.44669i −0.323489 0.323489i
\(21\) −2.15056 + 4.04662i −0.469290 + 0.883044i
\(22\) 4.36124 0.929819
\(23\) 0.976570 + 1.69147i 0.203629 + 0.352696i 0.949695 0.313176i \(-0.101393\pi\)
−0.746066 + 0.665872i \(0.768060\pi\)
\(24\) 1.54572 0.781496i 0.315520 0.159522i
\(25\) −0.705120 0.407101i −0.141024 0.0814202i
\(26\) 0.750376 + 3.52660i 0.147161 + 0.691624i
\(27\) 4.23229 3.01458i 0.814505 0.580156i
\(28\) 2.03243 + 1.69388i 0.384093 + 0.320113i
\(29\) 7.12520i 1.32312i −0.749894 0.661558i \(-0.769896\pi\)
0.749894 0.661558i \(-0.230104\pi\)
\(30\) −2.64085 + 2.36290i −0.482152 + 0.431404i
\(31\) −1.91641 + 0.513500i −0.344197 + 0.0922273i −0.426776 0.904357i \(-0.640351\pi\)
0.0825793 + 0.996584i \(0.473684\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) 0.418969 7.54225i 0.0729331 1.31294i
\(34\) −2.55733 + 2.55733i −0.438578 + 0.438578i
\(35\) −4.91346 2.27124i −0.830526 0.383910i
\(36\) −1.20302 2.74823i −0.200503 0.458038i
\(37\) −2.87798 0.771152i −0.473137 0.126777i 0.0143683 0.999897i \(-0.495426\pi\)
−0.487505 + 0.873120i \(0.662093\pi\)
\(38\) 0.868269 1.50389i 0.140852 0.243963i
\(39\) 6.17094 0.958900i 0.988141 0.153547i
\(40\) 1.02296 + 1.77182i 0.161744 + 0.280149i
\(41\) 5.01711 5.01711i 0.783540 0.783540i −0.196886 0.980426i \(-0.563083\pi\)
0.980426 + 0.196886i \(0.0630829\pi\)
\(42\) 3.12462 3.35213i 0.482139 0.517244i
\(43\) 12.4270i 1.89511i −0.319597 0.947554i \(-0.603547\pi\)
0.319597 0.947554i \(-0.396453\pi\)
\(44\) −4.21263 1.12877i −0.635078 0.170169i
\(45\) 3.83266 + 4.79405i 0.571339 + 0.714654i
\(46\) −0.505510 1.88659i −0.0745333 0.278162i
\(47\) −0.536532 + 2.00237i −0.0782613 + 0.292075i −0.993953 0.109806i \(-0.964977\pi\)
0.915692 + 0.401881i \(0.131644\pi\)
\(48\) −1.69532 + 0.354805i −0.244699 + 0.0512116i
\(49\) 6.59369 + 2.35017i 0.941955 + 0.335738i
\(50\) 0.575728 + 0.575728i 0.0814202 + 0.0814202i
\(51\) 4.17693 + 4.66828i 0.584887 + 0.653689i
\(52\) 0.187944 3.60065i 0.0260632 0.499320i
\(53\) −6.45843 3.72878i −0.887134 0.512187i −0.0141298 0.999900i \(-0.504498\pi\)
−0.873004 + 0.487713i \(0.837831\pi\)
\(54\) −4.86831 + 1.81646i −0.662493 + 0.247189i
\(55\) 8.92275 1.20314
\(56\) −1.52477 2.16219i −0.203756 0.288935i
\(57\) −2.51739 1.64604i −0.333436 0.218024i
\(58\) −1.84414 + 6.88241i −0.242147 + 0.903705i
\(59\) 11.3187 3.03283i 1.47357 0.394841i 0.569413 0.822051i \(-0.307170\pi\)
0.904152 + 0.427211i \(0.140504\pi\)
\(60\) 3.16243 1.59888i 0.408268 0.206415i
\(61\) −5.54572 9.60547i −0.710057 1.22985i −0.964835 0.262855i \(-0.915336\pi\)
0.254779 0.966999i \(-0.417997\pi\)
\(62\) 1.98401 0.251970
\(63\) −5.49695 5.72570i −0.692550 0.721370i
\(64\) 1.00000i 0.125000i
\(65\) 1.53521 + 7.21516i 0.190420 + 0.894930i
\(66\) −2.35677 + 7.17682i −0.290099 + 0.883406i
\(67\) −7.55021 + 2.02307i −0.922405 + 0.247158i −0.688613 0.725129i \(-0.741780\pi\)
−0.233792 + 0.972287i \(0.575113\pi\)
\(68\) 3.13207 1.80830i 0.379820 0.219289i
\(69\) −3.31120 + 0.692983i −0.398622 + 0.0834253i
\(70\) 4.15819 + 3.46555i 0.496999 + 0.414212i
\(71\) −5.58229 + 5.58229i −0.662496 + 0.662496i −0.955968 0.293472i \(-0.905189\pi\)
0.293472 + 0.955968i \(0.405189\pi\)
\(72\) 0.450730 + 2.96595i 0.0531190 + 0.349540i
\(73\) 1.97747 + 7.38003i 0.231446 + 0.863767i 0.979719 + 0.200377i \(0.0642166\pi\)
−0.748273 + 0.663391i \(0.769117\pi\)
\(74\) 2.58032 + 1.48975i 0.299957 + 0.173180i
\(75\) 1.05096 0.940347i 0.121355 0.108582i
\(76\) −1.22792 + 1.22792i −0.140852 + 0.140852i
\(77\) −11.4914 + 1.04404i −1.30957 + 0.118979i
\(78\) −6.20885 0.670930i −0.703014 0.0759679i
\(79\) −4.09412 7.09122i −0.460624 0.797825i 0.538368 0.842710i \(-0.319041\pi\)
−0.998992 + 0.0448853i \(0.985708\pi\)
\(80\) −0.529524 1.97621i −0.0592025 0.220947i
\(81\) 2.67368 + 8.59369i 0.297076 + 0.954854i
\(82\) −6.14468 + 3.54763i −0.678566 + 0.391770i
\(83\) −6.47658 + 6.47658i −0.710898 + 0.710898i −0.966723 0.255825i \(-0.917653\pi\)
0.255825 + 0.966723i \(0.417653\pi\)
\(84\) −3.88574 + 2.42920i −0.423969 + 0.265047i
\(85\) −5.23209 + 5.23209i −0.567500 + 0.567500i
\(86\) −3.21636 + 12.0036i −0.346829 + 1.29438i
\(87\) 11.7252 + 3.85039i 1.25707 + 0.412805i
\(88\) 3.77694 + 2.18062i 0.402623 + 0.232455i
\(89\) 0.741628 2.76779i 0.0786125 0.293386i −0.915416 0.402510i \(-0.868138\pi\)
0.994028 + 0.109124i \(0.0348046\pi\)
\(90\) −2.46128 5.62266i −0.259441 0.592680i
\(91\) −2.82140 9.11261i −0.295763 0.955261i
\(92\) 1.95314i 0.203629i
\(93\) 0.190597 3.43112i 0.0197640 0.355791i
\(94\) 1.03650 1.79527i 0.106907 0.185168i
\(95\) 1.77641 3.07683i 0.182256 0.315677i
\(96\) 1.72938 + 0.0960666i 0.176505 + 0.00980475i
\(97\) −0.184292 0.184292i −0.0187120 0.0187120i 0.697689 0.716401i \(-0.254212\pi\)
−0.716401 + 0.697689i \(0.754212\pi\)
\(98\) −5.76075 3.97666i −0.581923 0.401703i
\(99\) 12.1851 + 4.76522i 1.22465 + 0.478922i
\(100\) −0.407101 0.705120i −0.0407101 0.0705120i
\(101\) 4.13732 7.16605i 0.411679 0.713049i −0.583394 0.812189i \(-0.698276\pi\)
0.995073 + 0.0991400i \(0.0316092\pi\)
\(102\) −2.82636 5.59028i −0.279852 0.553520i
\(103\) 8.05782 4.65218i 0.793961 0.458393i −0.0473944 0.998876i \(-0.515092\pi\)
0.841355 + 0.540483i \(0.181758\pi\)
\(104\) −1.11346 + 3.42932i −0.109183 + 0.336272i
\(105\) 6.39273 6.85819i 0.623866 0.669291i
\(106\) 5.27329 + 5.27329i 0.512187 + 0.512187i
\(107\) −9.25913 + 5.34576i −0.895113 + 0.516794i −0.875612 0.483016i \(-0.839541\pi\)
−0.0195018 + 0.999810i \(0.506208\pi\)
\(108\) 5.17256 0.494557i 0.497730 0.0475888i
\(109\) −15.1593 + 4.06191i −1.45199 + 0.389061i −0.896717 0.442604i \(-0.854055\pi\)
−0.555278 + 0.831665i \(0.687388\pi\)
\(110\) −8.61871 2.30938i −0.821762 0.220190i
\(111\) 2.82424 4.31926i 0.268065 0.409966i
\(112\) 0.913196 + 2.48316i 0.0862889 + 0.234636i
\(113\) 20.7267i 1.94980i 0.222637 + 0.974901i \(0.428533\pi\)
−0.222637 + 0.974901i \(0.571467\pi\)
\(114\) 2.00558 + 2.24150i 0.187840 + 0.209936i
\(115\) −1.03423 3.85981i −0.0964428 0.359929i
\(116\) 3.56260 6.17060i 0.330779 0.572926i
\(117\) −1.75676 + 10.6730i −0.162412 + 0.986723i
\(118\) −11.7180 −1.07872
\(119\) 6.12610 7.35050i 0.561579 0.673819i
\(120\) −3.46850 + 0.725902i −0.316629 + 0.0662655i
\(121\) 6.94585 4.01019i 0.631441 0.364563i
\(122\) 2.87068 + 10.7135i 0.259899 + 0.969955i
\(123\) 5.54492 + 10.9673i 0.499968 + 0.988890i
\(124\) −1.91641 0.513500i −0.172099 0.0461137i
\(125\) 8.41132 + 8.41132i 0.752332 + 0.752332i
\(126\) 3.82772 + 6.95331i 0.341001 + 0.619450i
\(127\) 1.34368i 0.119233i 0.998221 + 0.0596163i \(0.0189877\pi\)
−0.998221 + 0.0596163i \(0.981012\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 20.4499 + 6.71546i 1.80051 + 0.591264i
\(130\) 0.384520 7.36665i 0.0337246 0.646098i
\(131\) −5.87615 + 3.39260i −0.513402 + 0.296413i −0.734231 0.678900i \(-0.762457\pi\)
0.220829 + 0.975313i \(0.429124\pi\)
\(132\) 4.13396 6.32230i 0.359815 0.550285i
\(133\) −1.92779 + 4.17044i −0.167160 + 0.361623i
\(134\) 7.81655 0.675247
\(135\) −9.96019 + 3.71634i −0.857236 + 0.319852i
\(136\) −3.49337 + 0.936047i −0.299554 + 0.0802653i
\(137\) −20.0342 + 5.36816i −1.71164 + 0.458633i −0.975826 0.218550i \(-0.929867\pi\)
−0.735815 + 0.677183i \(0.763201\pi\)
\(138\) 3.37773 + 0.187631i 0.287531 + 0.0159722i
\(139\) 5.53614 0.469569 0.234785 0.972047i \(-0.424562\pi\)
0.234785 + 0.972047i \(0.424562\pi\)
\(140\) −3.11956 4.42368i −0.263651 0.373869i
\(141\) −3.00514 1.96497i −0.253079 0.165481i
\(142\) 6.83688 3.94728i 0.573739 0.331248i
\(143\) 10.5243 + 11.6835i 0.880086 + 0.977023i
\(144\) 0.332272 2.98154i 0.0276893 0.248462i
\(145\) −3.77296 + 14.0809i −0.313327 + 1.16935i
\(146\) 7.64037i 0.632322i
\(147\) −7.43059 + 9.58052i −0.612864 + 0.790188i
\(148\) −2.10683 2.10683i −0.173180 0.173180i
\(149\) −0.732320 0.196225i −0.0599940 0.0160753i 0.228697 0.973498i \(-0.426553\pi\)
−0.288691 + 0.957422i \(0.593220\pi\)
\(150\) −1.25853 + 0.636296i −0.102759 + 0.0519534i
\(151\) −2.35869 8.80273i −0.191947 0.716356i −0.993036 0.117811i \(-0.962412\pi\)
0.801089 0.598545i \(-0.204254\pi\)
\(152\) 1.50389 0.868269i 0.121981 0.0704259i
\(153\) −9.93926 + 4.35083i −0.803541 + 0.351744i
\(154\) 11.3701 + 1.96573i 0.916226 + 0.158403i
\(155\) 4.05913 0.326037
\(156\) 5.82364 + 2.25504i 0.466264 + 0.180548i
\(157\) −8.29531 + 14.3679i −0.662038 + 1.14668i 0.318042 + 0.948077i \(0.396975\pi\)
−0.980079 + 0.198606i \(0.936359\pi\)
\(158\) 2.11927 + 7.90923i 0.168600 + 0.629224i
\(159\) 9.62613 8.61295i 0.763402 0.683052i
\(160\) 2.04592i 0.161744i
\(161\) 1.78360 + 4.84995i 0.140567 + 0.382230i
\(162\) −0.358369 8.99286i −0.0281561 0.706546i
\(163\) 13.5193 + 3.62249i 1.05891 + 0.283735i 0.745930 0.666024i \(-0.232005\pi\)
0.312983 + 0.949759i \(0.398672\pi\)
\(164\) 6.85349 1.83639i 0.535168 0.143398i
\(165\) −4.82177 + 14.6832i −0.375374 + 1.14309i
\(166\) 7.93216 4.57964i 0.615655 0.355449i
\(167\) −13.3524 13.3524i −1.03324 1.03324i −0.999428 0.0338126i \(-0.989235\pi\)
−0.0338126 0.999428i \(-0.510765\pi\)
\(168\) 4.38206 1.34072i 0.338083 0.103439i
\(169\) −7.63679 + 10.5204i −0.587446 + 0.809264i
\(170\) 6.40798 3.69965i 0.491469 0.283750i
\(171\) 4.06909 3.25309i 0.311171 0.248770i
\(172\) 6.21352 10.7621i 0.473777 0.820606i
\(173\) 2.12999 + 3.68926i 0.161940 + 0.280489i 0.935565 0.353156i \(-0.114891\pi\)
−0.773624 + 0.633645i \(0.781558\pi\)
\(174\) −10.3291 6.75389i −0.783047 0.512011i
\(175\) −1.65481 1.37916i −0.125092 0.104255i
\(176\) −3.08386 3.08386i −0.232455 0.232455i
\(177\) −1.12570 + 20.2648i −0.0846130 + 1.52320i
\(178\) −1.43272 + 2.48154i −0.107387 + 0.185999i
\(179\) 9.55356 16.5472i 0.714066 1.23680i −0.249252 0.968439i \(-0.580185\pi\)
0.963319 0.268361i \(-0.0864819\pi\)
\(180\) 0.922158 + 6.06810i 0.0687336 + 0.452289i
\(181\) 0.658571i 0.0489512i 0.999700 + 0.0244756i \(0.00779161\pi\)
−0.999700 + 0.0244756i \(0.992208\pi\)
\(182\) 0.366747 + 9.53234i 0.0271851 + 0.706584i
\(183\) 18.8036 3.93529i 1.39000 0.290905i
\(184\) 0.505510 1.88659i 0.0372667 0.139081i
\(185\) 5.27914 + 3.04792i 0.388130 + 0.224087i
\(186\) −1.07214 + 3.26488i −0.0786133 + 0.239392i
\(187\) −4.08232 + 15.2354i −0.298529 + 1.11412i
\(188\) −1.46583 + 1.46583i −0.106907 + 0.106907i
\(189\) 12.3927 5.95162i 0.901434 0.432917i
\(190\) −2.51222 + 2.51222i −0.182256 + 0.182256i
\(191\) 11.4265 6.59710i 0.826794 0.477350i −0.0259598 0.999663i \(-0.508264\pi\)
0.852754 + 0.522313i \(0.174931\pi\)
\(192\) −1.64559 0.540391i −0.118760 0.0389994i
\(193\) −3.71437 13.8622i −0.267366 0.997824i −0.960786 0.277290i \(-0.910564\pi\)
0.693420 0.720533i \(-0.256103\pi\)
\(194\) 0.130314 + 0.225711i 0.00935601 + 0.0162051i
\(195\) −12.7028 1.37267i −0.909669 0.0982990i
\(196\) 4.53522 + 5.33215i 0.323944 + 0.380868i
\(197\) 6.69242 6.69242i 0.476815 0.476815i −0.427296 0.904112i \(-0.640534\pi\)
0.904112 + 0.427296i \(0.140534\pi\)
\(198\) −10.5366 7.75658i −0.748800 0.551236i
\(199\) 7.53857 + 4.35239i 0.534395 + 0.308533i 0.742804 0.669509i \(-0.233495\pi\)
−0.208409 + 0.978042i \(0.566829\pi\)
\(200\) 0.210731 + 0.786459i 0.0149009 + 0.0556111i
\(201\) 0.750909 13.5178i 0.0529650 0.953474i
\(202\) −5.85106 + 5.85106i −0.411679 + 0.411679i
\(203\) 3.21153 18.5759i 0.225405 1.30377i
\(204\) 1.28319 + 6.13131i 0.0898412 + 0.429278i
\(205\) −12.5715 + 7.25817i −0.878034 + 0.506933i
\(206\) −8.98733 + 2.40815i −0.626177 + 0.167784i
\(207\) 0.648974 5.82337i 0.0451068 0.404752i
\(208\) 1.96309 3.02428i 0.136116 0.209696i
\(209\) 7.57345i 0.523867i
\(210\) −7.94993 + 4.96994i −0.548597 + 0.342959i
\(211\) −3.35429 −0.230919 −0.115460 0.993312i \(-0.536834\pi\)
−0.115460 + 0.993312i \(0.536834\pi\)
\(212\) −3.72878 6.45843i −0.256093 0.443567i
\(213\) −6.16956 12.2028i −0.422732 0.836122i
\(214\) 10.3272 2.76717i 0.705954 0.189160i
\(215\) −6.58042 + 24.5584i −0.448781 + 1.67487i
\(216\) −5.12431 0.861053i −0.348665 0.0585872i
\(217\) −5.22767 + 0.474954i −0.354877 + 0.0322420i
\(218\) 15.6940 1.06293
\(219\) −13.2131 0.733984i −0.892861 0.0495981i
\(220\) 7.72733 + 4.46137i 0.520976 + 0.300786i
\(221\) −13.0221 0.679721i −0.875963 0.0457230i
\(222\) −3.84591 + 3.44112i −0.258121 + 0.230953i
\(223\) 9.79258 + 9.79258i 0.655759 + 0.655759i 0.954374 0.298614i \(-0.0965244\pi\)
−0.298614 + 0.954374i \(0.596524\pi\)
\(224\) −0.239391 2.63490i −0.0159950 0.176052i
\(225\) 0.979498 + 2.23761i 0.0652998 + 0.149174i
\(226\) 5.36446 20.0204i 0.356839 1.33174i
\(227\) −2.20020 8.21127i −0.146033 0.545001i −0.999707 0.0241943i \(-0.992298\pi\)
0.853675 0.520807i \(-0.174369\pi\)
\(228\) −1.35710 2.68421i −0.0898760 0.177766i
\(229\) −15.9252 4.26713i −1.05236 0.281980i −0.309136 0.951018i \(-0.600040\pi\)
−0.743228 + 0.669038i \(0.766706\pi\)
\(230\) 3.99597i 0.263487i
\(231\) 4.49179 19.4744i 0.295538 1.28132i
\(232\) −5.03827 + 5.03827i −0.330779 + 0.330779i
\(233\) −7.84624 13.5901i −0.514024 0.890317i −0.999868 0.0162705i \(-0.994821\pi\)
0.485843 0.874046i \(-0.338513\pi\)
\(234\) 4.45929 9.85468i 0.291513 0.644221i
\(235\) 2.12060 3.67299i 0.138333 0.239599i
\(236\) 11.3187 + 3.03283i 0.736783 + 0.197420i
\(237\) 13.8817 2.90522i 0.901713 0.188715i
\(238\) −7.81981 + 5.51449i −0.506883 + 0.357451i
\(239\) −1.89482 + 1.89482i −0.122566 + 0.122566i −0.765729 0.643163i \(-0.777622\pi\)
0.643163 + 0.765729i \(0.277622\pi\)
\(240\) 3.53819 + 0.196545i 0.228389 + 0.0126869i
\(241\) −6.68380 24.9443i −0.430542 1.60680i −0.751516 0.659715i \(-0.770677\pi\)
0.320974 0.947088i \(-0.395990\pi\)
\(242\) −7.74709 + 2.07583i −0.498002 + 0.133439i
\(243\) −15.5865 0.244156i −0.999877 0.0156626i
\(244\) 11.0914i 0.710057i
\(245\) −11.7860 8.13593i −0.752982 0.519786i
\(246\) −2.51743 12.0287i −0.160505 0.766925i
\(247\) 6.12408 1.30306i 0.389666 0.0829115i
\(248\) 1.71820 + 0.992006i 0.109106 + 0.0629924i
\(249\) −7.15794 14.1577i −0.453616 0.897209i
\(250\) −5.94770 10.3017i −0.376166 0.651538i
\(251\) −7.80900 −0.492900 −0.246450 0.969156i \(-0.579264\pi\)
−0.246450 + 0.969156i \(0.579264\pi\)
\(252\) −1.89765 7.70707i −0.119541 0.485500i
\(253\) −6.02321 6.02321i −0.378676 0.378676i
\(254\) 0.347771 1.29790i 0.0218211 0.0814374i
\(255\) −5.78252 11.4373i −0.362116 0.716230i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.84625 + 4.92985i 0.177544 + 0.307516i 0.941039 0.338299i \(-0.109851\pi\)
−0.763495 + 0.645814i \(0.776518\pi\)
\(258\) −18.0150 11.7795i −1.12156 0.733357i
\(259\) −7.15553 3.30764i −0.444623 0.205527i
\(260\) −2.27805 + 7.01612i −0.141278 + 0.435121i
\(261\) −12.6724 + 17.2142i −0.784399 + 1.06553i
\(262\) 6.55400 1.75614i 0.404907 0.108495i
\(263\) −23.6148 13.6340i −1.45615 0.840710i −0.457334 0.889295i \(-0.651196\pi\)
−0.998819 + 0.0485845i \(0.984529\pi\)
\(264\) −5.62943 + 5.03692i −0.346468 + 0.310001i
\(265\) 10.7887 + 10.7887i 0.662747 + 0.662747i
\(266\) 2.94149 3.52939i 0.180354 0.216401i
\(267\) 4.15390 + 2.71611i 0.254214 + 0.166223i
\(268\) −7.55021 2.02307i −0.461202 0.123579i
\(269\) 24.7504 + 14.2897i 1.50906 + 0.871256i 0.999944 + 0.0105569i \(0.00336042\pi\)
0.509115 + 0.860699i \(0.329973\pi\)
\(270\) 10.5827 1.01182i 0.644040 0.0615777i
\(271\) −3.66271 0.981420i −0.222494 0.0596170i 0.145850 0.989307i \(-0.453408\pi\)
−0.368344 + 0.929690i \(0.620075\pi\)
\(272\) 3.61661 0.219289
\(273\) 16.5203 + 0.281493i 0.999855 + 0.0170367i
\(274\) 20.7410 1.25301
\(275\) 3.42993 + 0.919048i 0.206833 + 0.0554207i
\(276\) −3.21407 1.05546i −0.193465 0.0635312i
\(277\) 7.30789 + 4.21921i 0.439088 + 0.253508i 0.703211 0.710981i \(-0.251749\pi\)
−0.264123 + 0.964489i \(0.585082\pi\)
\(278\) −5.34750 1.43286i −0.320722 0.0859371i
\(279\) 5.54323 + 2.16779i 0.331865 + 0.129782i
\(280\) 1.86833 + 5.08035i 0.111654 + 0.303609i
\(281\) 4.00546 + 4.00546i 0.238946 + 0.238946i 0.816413 0.577468i \(-0.195959\pi\)
−0.577468 + 0.816413i \(0.695959\pi\)
\(282\) 2.39417 + 2.67581i 0.142571 + 0.159342i
\(283\) −25.2706 14.5900i −1.50218 0.867286i −0.999997 0.00252638i \(-0.999196\pi\)
−0.502186 0.864759i \(-0.667471\pi\)
\(284\) −7.62555 + 2.04326i −0.452493 + 0.121245i
\(285\) 4.10326 + 4.58594i 0.243056 + 0.271648i
\(286\) −7.14179 14.0093i −0.422303 0.828386i
\(287\) 15.3413 10.8186i 0.905570 0.638603i
\(288\) −1.09263 + 2.79395i −0.0643838 + 0.164635i
\(289\) 1.96008 + 3.39496i 0.115299 + 0.199703i
\(290\) 7.28880 12.6246i 0.428013 0.741340i
\(291\) 0.402859 0.203680i 0.0236160 0.0119399i
\(292\) −1.97747 + 7.38003i −0.115723 + 0.431884i
\(293\) 8.81162 + 8.81162i 0.514780 + 0.514780i 0.915987 0.401207i \(-0.131409\pi\)
−0.401207 + 0.915987i \(0.631409\pi\)
\(294\) 9.65702 7.33089i 0.563209 0.427546i
\(295\) −23.9740 −1.39582
\(296\) 1.48975 + 2.58032i 0.0865900 + 0.149978i
\(297\) −14.4263 + 17.4766i −0.837100 + 1.01410i
\(298\) 0.656580 + 0.379077i 0.0380347 + 0.0219593i
\(299\) 3.83419 5.90684i 0.221737 0.341602i
\(300\) 1.38033 0.288883i 0.0796936 0.0166786i
\(301\) 5.60123 32.3983i 0.322849 1.86740i
\(302\) 9.11326i 0.524409i
\(303\) 9.55664 + 10.6808i 0.549015 + 0.613597i
\(304\) −1.67737 + 0.449449i −0.0962036 + 0.0257777i
\(305\) 5.87318 + 21.9190i 0.336297 + 1.25508i
\(306\) 10.7267 1.63011i 0.613203 0.0931873i
\(307\) 3.24026 3.24026i 0.184931 0.184931i −0.608569 0.793501i \(-0.708256\pi\)
0.793501 + 0.608569i \(0.208256\pi\)
\(308\) −10.4739 4.84154i −0.596805 0.275873i
\(309\) 3.30123 + 15.7739i 0.187801 + 0.897346i
\(310\) −3.92082 1.05058i −0.222688 0.0596690i
\(311\) −2.46001 + 4.26087i −0.139494 + 0.241611i −0.927305 0.374306i \(-0.877881\pi\)
0.787811 + 0.615917i \(0.211214\pi\)
\(312\) −5.04156 3.68547i −0.285422 0.208649i
\(313\) −3.42968 5.94038i −0.193857 0.335770i 0.752668 0.658400i \(-0.228766\pi\)
−0.946525 + 0.322630i \(0.895433\pi\)
\(314\) 11.7313 11.7313i 0.662038 0.662038i
\(315\) 7.83122 + 14.2259i 0.441239 + 0.801541i
\(316\) 8.18824i 0.460624i
\(317\) 7.02606 + 1.88263i 0.394623 + 0.105739i 0.450673 0.892689i \(-0.351184\pi\)
−0.0560503 + 0.998428i \(0.517851\pi\)
\(318\) −11.5273 + 5.82805i −0.646420 + 0.326821i
\(319\) 8.04271 + 30.0158i 0.450305 + 1.68056i
\(320\) 0.529524 1.97621i 0.0296013 0.110473i
\(321\) −3.79340 18.1256i −0.211727 1.01167i
\(322\) −0.467563 5.14633i −0.0260563 0.286794i
\(323\) 4.44090 + 4.44090i 0.247098 + 0.247098i
\(324\) −1.98137 + 8.77919i −0.110076 + 0.487733i
\(325\) −0.153025 + 2.93166i −0.00848829 + 0.162619i
\(326\) −12.1211 6.99810i −0.671324 0.387589i
\(327\) 1.50767 27.1410i 0.0833744 1.50090i
\(328\) −7.09526 −0.391770
\(329\) −2.30130 + 4.97849i −0.126875 + 0.274473i
\(330\) 8.45777 12.9349i 0.465585 0.712045i
\(331\) −7.56826 + 28.2451i −0.415989 + 1.55249i 0.366856 + 0.930278i \(0.380434\pi\)
−0.782846 + 0.622216i \(0.786233\pi\)
\(332\) −8.84718 + 2.37059i −0.485552 + 0.130103i
\(333\) 5.58155 + 6.98163i 0.305867 + 0.382591i
\(334\) 9.44158 + 16.3533i 0.516620 + 0.894813i
\(335\) 15.9921 0.873739
\(336\) −4.57975 + 0.160873i −0.249846 + 0.00877633i
\(337\) 34.9072i 1.90152i 0.309935 + 0.950758i \(0.399693\pi\)
−0.309935 + 0.950758i \(0.600307\pi\)
\(338\) 10.0995 8.18540i 0.549338 0.445227i
\(339\) −34.1077 11.2005i −1.85248 0.608328i
\(340\) −7.14717 + 1.91508i −0.387610 + 0.103860i
\(341\) 7.49350 4.32637i 0.405796 0.234286i
\(342\) −4.77240 + 2.08908i −0.258062 + 0.112965i
\(343\) 16.1310 + 9.09902i 0.870990 + 0.491301i
\(344\) −8.78725 + 8.78725i −0.473777 + 0.473777i
\(345\) 6.91057 + 0.383879i 0.372053 + 0.0206674i
\(346\) −1.10257 4.11483i −0.0592743 0.221215i
\(347\) 9.28926 + 5.36316i 0.498674 + 0.287909i 0.728166 0.685401i \(-0.240373\pi\)
−0.229492 + 0.973311i \(0.573706\pi\)
\(348\) 8.22910 + 9.19712i 0.441126 + 0.493018i
\(349\) 24.1788 24.1788i 1.29426 1.29426i 0.362136 0.932125i \(-0.382048\pi\)
0.932125 0.362136i \(-0.117952\pi\)
\(350\) 1.24147 + 1.76046i 0.0663593 + 0.0941007i
\(351\) −16.6141 8.65853i −0.886798 0.462158i
\(352\) 2.18062 + 3.77694i 0.116227 + 0.201312i
\(353\) −4.75212 17.7352i −0.252930 0.943948i −0.969230 0.246155i \(-0.920833\pi\)
0.716300 0.697792i \(-0.245834\pi\)
\(354\) 6.33227 19.2830i 0.336557 1.02488i
\(355\) 13.9877 8.07582i 0.742392 0.428620i
\(356\) 2.02617 2.02617i 0.107387 0.107387i
\(357\) 8.78544 + 14.0532i 0.464975 + 0.743775i
\(358\) −13.5108 + 13.5108i −0.714066 + 0.714066i
\(359\) 4.33385 16.1741i 0.228732 0.853639i −0.752143 0.659000i \(-0.770980\pi\)
0.980875 0.194639i \(-0.0623535\pi\)
\(360\) 0.679803 6.10000i 0.0358288 0.321498i
\(361\) 13.8429 + 7.99222i 0.728575 + 0.420643i
\(362\) 0.170451 0.636131i 0.00895870 0.0334343i
\(363\) 2.84567 + 13.5971i 0.149359 + 0.713663i
\(364\) 2.11290 9.30245i 0.110746 0.487581i
\(365\) 15.6316i 0.818196i
\(366\) −19.1814 1.06552i −1.00263 0.0556954i
\(367\) 2.70085 4.67801i 0.140983 0.244190i −0.786884 0.617101i \(-0.788307\pi\)
0.927867 + 0.372911i \(0.121640\pi\)
\(368\) −0.976570 + 1.69147i −0.0509072 + 0.0881739i
\(369\) −21.0442 + 3.19805i −1.09552 + 0.166484i
\(370\) −4.31040 4.31040i −0.224087 0.224087i
\(371\) −15.1570 12.6322i −0.786910 0.655831i
\(372\) 1.88062 2.87614i 0.0975057 0.149121i
\(373\) −5.47339 9.48020i −0.283402 0.490866i 0.688819 0.724934i \(-0.258130\pi\)
−0.972220 + 0.234068i \(0.924796\pi\)
\(374\) 7.88644 13.6597i 0.407798 0.706327i
\(375\) −18.3870 + 9.29621i −0.949502 + 0.480054i
\(376\) 1.79527 1.03650i 0.0925841 0.0534535i
\(377\) −22.8877 + 11.6679i −1.17878 + 0.600929i
\(378\) −13.5108 + 2.54137i −0.694920 + 0.130714i
\(379\) 10.3217 + 10.3217i 0.530188 + 0.530188i 0.920628 0.390440i \(-0.127677\pi\)
−0.390440 + 0.920628i \(0.627677\pi\)
\(380\) 3.07683 1.77641i 0.157838 0.0911280i
\(381\) −2.21116 0.726115i −0.113281 0.0372000i
\(382\) −12.7446 + 3.41491i −0.652072 + 0.174722i
\(383\) −5.40009 1.44695i −0.275932 0.0739357i 0.118200 0.992990i \(-0.462288\pi\)
−0.394131 + 0.919054i \(0.628954\pi\)
\(384\) 1.44966 + 0.947888i 0.0739775 + 0.0483717i
\(385\) 23.2623 + 4.02174i 1.18556 + 0.204967i
\(386\) 14.3512i 0.730457i
\(387\) −22.1018 + 30.0232i −1.12350 + 1.52616i
\(388\) −0.0674555 0.251748i −0.00342454 0.0127805i
\(389\) 13.3021 23.0398i 0.674441 1.16817i −0.302191 0.953247i \(-0.597718\pi\)
0.976632 0.214918i \(-0.0689485\pi\)
\(390\) 11.9147 + 4.61363i 0.603325 + 0.233620i
\(391\) 7.06374 0.357229
\(392\) −3.00062 6.32426i −0.151554 0.319423i
\(393\) −2.40742 11.5031i −0.121438 0.580254i
\(394\) −8.19651 + 4.73226i −0.412934 + 0.238408i
\(395\) 4.33586 + 16.1817i 0.218161 + 0.814188i
\(396\) 8.16998 + 10.2193i 0.410557 + 0.513541i
\(397\) 4.55398 + 1.22024i 0.228558 + 0.0612418i 0.371280 0.928521i \(-0.378919\pi\)
−0.142722 + 0.989763i \(0.545586\pi\)
\(398\) −6.15522 6.15522i −0.308533 0.308533i
\(399\) −5.82110 5.42602i −0.291419 0.271641i
\(400\) 0.814202i 0.0407101i
\(401\) 5.97373 22.2943i 0.298314 1.11332i −0.640236 0.768178i \(-0.721163\pi\)
0.938550 0.345144i \(-0.112170\pi\)
\(402\) −4.22399 + 12.8629i −0.210674 + 0.641541i
\(403\) 4.78771 + 5.31505i 0.238493 + 0.264761i
\(404\) 7.16605 4.13732i 0.356524 0.205839i
\(405\) −0.733194 18.3987i −0.0364327 0.914239i
\(406\) −7.90990 + 17.1118i −0.392562 + 0.849242i
\(407\) 12.9943 0.644104
\(408\) 0.347435 6.25450i 0.0172006 0.309644i
\(409\) 4.87027 1.30498i 0.240819 0.0645273i −0.136391 0.990655i \(-0.543550\pi\)
0.377210 + 0.926128i \(0.376884\pi\)
\(410\) 14.0217 3.75711i 0.692483 0.185550i
\(411\) 1.99251 35.8691i 0.0982835 1.76929i
\(412\) 9.30437 0.458393
\(413\) 30.8756 2.80517i 1.51929 0.138033i
\(414\) −2.13406 + 5.45698i −0.104883 + 0.268196i
\(415\) 16.2286 9.36958i 0.796630 0.459935i
\(416\) −2.67894 + 2.41315i −0.131346 + 0.118314i
\(417\) −2.99168 + 9.11023i −0.146503 + 0.446130i
\(418\) −1.96015 + 7.31539i −0.0958743 + 0.357808i
\(419\) 31.2952i 1.52887i 0.644701 + 0.764435i \(0.276982\pi\)
−0.644701 + 0.764435i \(0.723018\pi\)
\(420\) 8.96536 2.74300i 0.437465 0.133845i
\(421\) −3.76960 3.76960i −0.183719 0.183719i 0.609255 0.792974i \(-0.291468\pi\)
−0.792974 + 0.609255i \(0.791468\pi\)
\(422\) 3.24000 + 0.868155i 0.157721 + 0.0422611i
\(423\) 4.85750 3.88339i 0.236180 0.188817i
\(424\) 1.93016 + 7.20344i 0.0937367 + 0.349830i
\(425\) −2.55014 + 1.47232i −0.123700 + 0.0714182i
\(426\) 2.80102 + 13.3838i 0.135710 + 0.648447i
\(427\) −10.1287 27.5418i −0.490160 1.33284i
\(428\) −10.6915 −0.516794
\(429\) −24.9135 + 11.0051i −1.20284 + 0.531330i
\(430\) 12.7124 22.0185i 0.613046 1.06183i
\(431\) 4.86532 + 18.1576i 0.234354 + 0.874622i 0.978439 + 0.206536i \(0.0662192\pi\)
−0.744085 + 0.668085i \(0.767114\pi\)
\(432\) 4.72685 + 2.15798i 0.227421 + 0.103826i
\(433\) 13.1033i 0.629706i −0.949140 0.314853i \(-0.898045\pi\)
0.949140 0.314853i \(-0.101955\pi\)
\(434\) 5.17247 + 0.894251i 0.248286 + 0.0429254i
\(435\) −21.1325 13.8179i −1.01323 0.662519i
\(436\) −15.1593 4.06191i −0.725997 0.194530i
\(437\) −3.27613 + 0.877837i −0.156719 + 0.0419926i
\(438\) 12.5729 + 4.12879i 0.600759 + 0.197281i
\(439\) 25.4749 14.7079i 1.21585 0.701971i 0.251822 0.967773i \(-0.418970\pi\)
0.964028 + 0.265802i \(0.0856368\pi\)
\(440\) −6.30934 6.30934i −0.300786 0.300786i
\(441\) −11.7502 17.4050i −0.559534 0.828807i
\(442\) 12.4025 + 4.02694i 0.589926 + 0.191542i
\(443\) 13.4694 7.77657i 0.639951 0.369476i −0.144645 0.989484i \(-0.546204\pi\)
0.784596 + 0.620008i \(0.212871\pi\)
\(444\) 4.60549 2.32847i 0.218567 0.110504i
\(445\) −2.93123 + 5.07703i −0.138953 + 0.240674i
\(446\) −6.92440 11.9934i −0.327880 0.567904i
\(447\) 0.718645 1.09906i 0.0339907 0.0519839i
\(448\) −0.450728 + 2.60708i −0.0212949 + 0.123173i
\(449\) 1.03071 + 1.03071i 0.0486424 + 0.0486424i 0.731010 0.682367i \(-0.239049\pi\)
−0.682367 + 0.731010i \(0.739049\pi\)
\(450\) −0.366985 2.41488i −0.0172999 0.113839i
\(451\) −15.4720 + 26.7984i −0.728550 + 1.26189i
\(452\) −10.3633 + 17.9498i −0.487451 + 0.844289i
\(453\) 15.7603 + 0.875480i 0.740485 + 0.0411336i
\(454\) 8.50093i 0.398968i
\(455\) 0.750336 + 19.5024i 0.0351763 + 0.914288i
\(456\) 0.616132 + 2.94399i 0.0288530 + 0.137865i
\(457\) −1.55490 + 5.80298i −0.0727353 + 0.271452i −0.992710 0.120525i \(-0.961542\pi\)
0.919975 + 0.391977i \(0.128209\pi\)
\(458\) 14.2781 + 8.24347i 0.667172 + 0.385192i
\(459\) −1.78862 18.7071i −0.0834855 0.873174i
\(460\) 1.03423 3.85981i 0.0482214 0.179965i
\(461\) 22.0789 22.0789i 1.02832 1.02832i 0.0287282 0.999587i \(-0.490854\pi\)
0.999587 0.0287282i \(-0.00914572\pi\)
\(462\) −9.37908 + 17.6483i −0.436354 + 0.821071i
\(463\) 19.2289 19.2289i 0.893641 0.893641i −0.101223 0.994864i \(-0.532276\pi\)
0.994864 + 0.101223i \(0.0322756\pi\)
\(464\) 6.17060 3.56260i 0.286463 0.165389i
\(465\) −2.19352 + 6.67968i −0.101722 + 0.309763i
\(466\) 4.06151 + 15.1578i 0.188146 + 0.702171i
\(467\) 19.8990 + 34.4661i 0.920818 + 1.59490i 0.798153 + 0.602455i \(0.205811\pi\)
0.122664 + 0.992448i \(0.460856\pi\)
\(468\) −6.85792 + 8.36474i −0.317007 + 0.386660i
\(469\) −20.5958 + 1.87121i −0.951027 + 0.0864044i
\(470\) −2.99898 + 2.99898i −0.138333 + 0.138333i
\(471\) −19.1610 21.4150i −0.882892 0.986750i
\(472\) −10.1480 5.85898i −0.467102 0.269681i
\(473\) 14.0273 + 52.3506i 0.644976 + 2.40708i
\(474\) −14.1606 0.786616i −0.650418 0.0361305i
\(475\) 0.999774 0.999774i 0.0458728 0.0458728i
\(476\) 8.98061 3.30267i 0.411625 0.151378i
\(477\) 8.97155 + 20.4951i 0.410779 + 0.938404i
\(478\) 2.32067 1.33984i 0.106145 0.0612828i
\(479\) 7.91329 2.12036i 0.361567 0.0968817i −0.0734618 0.997298i \(-0.523405\pi\)
0.435029 + 0.900416i \(0.356738\pi\)
\(480\) −3.36676 1.10560i −0.153671 0.0504634i
\(481\) 2.23575 + 10.5075i 0.101941 + 0.479102i
\(482\) 25.8242i 1.17626i
\(483\) −8.94489 + 0.314207i −0.407007 + 0.0142969i
\(484\) 8.02038 0.364563
\(485\) 0.266613 + 0.461786i 0.0121063 + 0.0209686i
\(486\) 14.9923 + 4.26993i 0.680062 + 0.193688i
\(487\) 0.493434 0.132215i 0.0223596 0.00599125i −0.247622 0.968857i \(-0.579649\pi\)
0.269982 + 0.962866i \(0.412982\pi\)
\(488\) −2.87068 + 10.7135i −0.129949 + 0.484978i
\(489\) −13.2668 + 20.2897i −0.599947 + 0.917533i
\(490\) 9.27870 + 10.9092i 0.419169 + 0.492826i
\(491\) 9.85382 0.444697 0.222348 0.974967i \(-0.428628\pi\)
0.222348 + 0.974967i \(0.428628\pi\)
\(492\) −0.681617 + 12.2704i −0.0307297 + 0.553194i
\(493\) −22.3166 12.8845i −1.00509 0.580289i
\(494\) −6.25267 0.326373i −0.281321 0.0146842i
\(495\) −21.5570 15.8694i −0.968913 0.713274i
\(496\) −1.40291 1.40291i −0.0629924 0.0629924i
\(497\) −17.0696 + 12.0374i −0.765674 + 0.539949i
\(498\) 3.24975 + 15.5279i 0.145625 + 0.695822i
\(499\) −3.16359 + 11.8067i −0.141622 + 0.528539i 0.858261 + 0.513214i \(0.171545\pi\)
−0.999883 + 0.0153254i \(0.995122\pi\)
\(500\) 3.07876 + 11.4901i 0.137686 + 0.513852i
\(501\) 29.1882 14.7571i 1.30403 0.659300i
\(502\) 7.54292 + 2.02112i 0.336657 + 0.0902069i
\(503\) 20.1854i 0.900022i 0.893023 + 0.450011i \(0.148580\pi\)
−0.893023 + 0.450011i \(0.851420\pi\)
\(504\) −0.161750 + 7.93561i −0.00720492 + 0.353480i
\(505\) −11.9708 + 11.9708i −0.532694 + 0.532694i
\(506\) 4.25905 + 7.37689i 0.189338 + 0.327943i
\(507\) −13.1855 18.2522i −0.585588 0.810609i
\(508\) −0.671842 + 1.16366i −0.0298082 + 0.0516293i
\(509\) −23.6534 6.33791i −1.04842 0.280923i −0.306820 0.951767i \(-0.599265\pi\)
−0.741598 + 0.670845i \(0.765932\pi\)
\(510\) 2.62530 + 12.5442i 0.116250 + 0.555466i
\(511\) 1.82903 + 20.1316i 0.0809117 + 0.890570i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 3.15436 + 8.45401i 0.139268 + 0.373254i
\(514\) −1.47333 5.49853i −0.0649857 0.242530i
\(515\) −18.3874 + 4.92688i −0.810245 + 0.217104i
\(516\) 14.3524 + 16.0407i 0.631828 + 0.706152i
\(517\) 9.04085i 0.397616i
\(518\) 6.05563 + 5.04692i 0.266069 + 0.221749i
\(519\) −7.22204 + 1.51146i −0.317012 + 0.0663458i
\(520\) 4.01633 6.18745i 0.176128 0.271337i
\(521\) 3.53113 + 2.03870i 0.154702 + 0.0893170i 0.575352 0.817906i \(-0.304865\pi\)
−0.420651 + 0.907223i \(0.638198\pi\)
\(522\) 16.6959 13.3477i 0.730760 0.584215i
\(523\) 9.70637 + 16.8119i 0.424430 + 0.735134i 0.996367 0.0851631i \(-0.0271411\pi\)
−0.571937 + 0.820298i \(0.693808\pi\)
\(524\) −6.78520 −0.296413
\(525\) 3.16378 1.97786i 0.138079 0.0863207i
\(526\) 19.2814 + 19.2814i 0.840710 + 0.840710i
\(527\) −1.85713 + 6.93090i −0.0808978 + 0.301915i
\(528\) 6.74127 3.40829i 0.293376 0.148327i
\(529\) 9.59262 16.6149i 0.417071 0.722387i
\(530\) −7.62879 13.2134i −0.331373 0.573955i
\(531\) −32.7394 12.8034i −1.42077 0.555620i
\(532\) −3.75473 + 2.64782i −0.162788 + 0.114797i
\(533\) −24.3319 7.90027i −1.05393 0.342199i
\(534\) −3.30937 3.69867i −0.143211 0.160057i
\(535\) 21.1287 5.66141i 0.913472 0.244764i
\(536\) 6.76933 + 3.90827i 0.292391 + 0.168812i
\(537\) 22.0674 + 24.6633i 0.952278 + 1.06430i
\(538\) −20.2086 20.2086i −0.871256 0.871256i
\(539\) −30.4296 2.45762i −1.31069 0.105857i
\(540\) −10.4839 1.76165i −0.451157 0.0758092i
\(541\) 22.8291 + 6.11704i 0.981499 + 0.262992i 0.713676 0.700476i \(-0.247029\pi\)
0.267823 + 0.963468i \(0.413696\pi\)
\(542\) 3.28390 + 1.89596i 0.141055 + 0.0814384i
\(543\) −1.08374 0.355886i −0.0465078 0.0152725i
\(544\) −3.49337 0.936047i −0.149777 0.0401327i
\(545\) 32.1088 1.37539
\(546\) −15.8845 4.54767i −0.679796 0.194622i
\(547\) −21.5260 −0.920387 −0.460193 0.887819i \(-0.652220\pi\)
−0.460193 + 0.887819i \(0.652220\pi\)
\(548\) −20.0342 5.36816i −0.855820 0.229316i
\(549\) −3.68538 + 33.0696i −0.157288 + 1.41138i
\(550\) −3.07519 1.77546i −0.131127 0.0757060i
\(551\) 11.9516 + 3.20241i 0.509154 + 0.136427i
\(552\) 2.83138 + 1.85136i 0.120512 + 0.0787990i
\(553\) −7.47746 20.3327i −0.317974 0.864634i
\(554\) −5.96686 5.96686i −0.253508 0.253508i
\(555\) −7.86843 + 7.04026i −0.333996 + 0.298842i
\(556\) 4.79444 + 2.76807i 0.203329 + 0.117392i
\(557\) −20.0631 + 5.37588i −0.850099 + 0.227783i −0.657463 0.753487i \(-0.728370\pi\)
−0.192636 + 0.981270i \(0.561704\pi\)
\(558\) −4.79328 3.52862i −0.202916 0.149378i
\(559\) −39.9185 + 20.3500i −1.68837 + 0.860715i
\(560\) −0.489775 5.39080i −0.0206968 0.227803i
\(561\) −22.8653 14.9509i −0.965372 0.631229i
\(562\) −2.83229 4.90566i −0.119473 0.206933i
\(563\) 19.8770 34.4279i 0.837714 1.45096i −0.0540870 0.998536i \(-0.517225\pi\)
0.891801 0.452427i \(-0.149442\pi\)
\(564\) −1.62004 3.20429i −0.0682161 0.134925i
\(565\) 10.9753 40.9603i 0.461733 1.72321i
\(566\) 20.6334 + 20.6334i 0.867286 + 0.867286i
\(567\) 3.09707 + 23.6095i 0.130065 + 0.991505i
\(568\) 7.89455 0.331248
\(569\) −17.0013 29.4471i −0.712731 1.23449i −0.963828 0.266525i \(-0.914125\pi\)
0.251097 0.967962i \(-0.419209\pi\)
\(570\) −2.77652 5.49168i −0.116296 0.230021i
\(571\) −9.50529 5.48788i −0.397784 0.229661i 0.287743 0.957708i \(-0.407095\pi\)
−0.685527 + 0.728047i \(0.740428\pi\)
\(572\) 3.27257 + 15.3804i 0.136833 + 0.643085i
\(573\) 4.68136 + 22.3684i 0.195567 + 0.934454i
\(574\) −17.6187 + 6.47936i −0.735388 + 0.270443i
\(575\) 1.59025i 0.0663180i
\(576\) 1.77853 2.41596i 0.0741053 0.100665i
\(577\) 0.918038 0.245987i 0.0382184 0.0102406i −0.239659 0.970857i \(-0.577036\pi\)
0.277878 + 0.960616i \(0.410369\pi\)
\(578\) −1.01461 3.78658i −0.0422023 0.157501i
\(579\) 24.8188 + 1.37867i 1.03143 + 0.0572956i
\(580\) −10.3079 + 10.3079i −0.428013 + 0.428013i
\(581\) −19.8041 + 13.9658i −0.821614 + 0.579398i
\(582\) −0.441849 + 0.0924721i −0.0183152 + 0.00383309i
\(583\) 31.4159 + 8.41787i 1.30111 + 0.348632i
\(584\) 3.82019 6.61676i 0.158080 0.273803i
\(585\) 9.12335 20.1619i 0.377204 0.833593i
\(586\) −6.23076 10.7920i −0.257390 0.445813i
\(587\) −9.10194 + 9.10194i −0.375677 + 0.375677i −0.869540 0.493863i \(-0.835585\pi\)
0.493863 + 0.869540i \(0.335585\pi\)
\(588\) −11.2253 + 4.58168i −0.462925 + 0.188945i
\(589\) 3.44531i 0.141962i
\(590\) 23.1571 + 6.20493i 0.953364 + 0.255453i
\(591\) 7.39648 + 14.6295i 0.304251 + 0.601778i
\(592\) −0.771152 2.87798i −0.0316942 0.118284i
\(593\) 6.06292 22.6271i 0.248974 0.929185i −0.722370 0.691507i \(-0.756947\pi\)
0.971344 0.237678i \(-0.0763863\pi\)
\(594\) 18.4580 13.1473i 0.757342 0.539440i
\(595\) −15.9987 + 11.2822i −0.655883 + 0.462525i
\(596\) −0.536096 0.536096i −0.0219593 0.0219593i
\(597\) −11.2360 + 10.0534i −0.459861 + 0.411459i
\(598\) −5.23235 + 4.71321i −0.213967 + 0.192738i
\(599\) 19.8542 + 11.4628i 0.811221 + 0.468359i 0.847380 0.530987i \(-0.178179\pi\)
−0.0361585 + 0.999346i \(0.511512\pi\)
\(600\) −1.40807 0.0782176i −0.0574842 0.00319322i
\(601\) −7.81297 −0.318698 −0.159349 0.987222i \(-0.550939\pi\)
−0.159349 + 0.987222i \(0.550939\pi\)
\(602\) −13.7957 + 29.8446i −0.562269 + 1.21638i
\(603\) 21.8391 + 8.54060i 0.889355 + 0.347800i
\(604\) 2.35869 8.80273i 0.0959735 0.358178i
\(605\) −15.8499 + 4.24698i −0.644392 + 0.172664i
\(606\) −6.46660 12.7903i −0.262688 0.519571i
\(607\) −18.4186 31.9020i −0.747588 1.29486i −0.948976 0.315349i \(-0.897878\pi\)
0.201388 0.979512i \(-0.435455\pi\)
\(608\) 1.73654 0.0704259
\(609\) 28.8329 + 15.3231i 1.16837 + 0.620925i
\(610\) 22.6922i 0.918781i
\(611\) 7.31066 1.55553i 0.295758 0.0629301i
\(612\) −10.7831 1.20170i −0.435880 0.0485757i
\(613\) 0.640775 0.171695i 0.0258806 0.00693470i −0.245855 0.969306i \(-0.579069\pi\)
0.271736 + 0.962372i \(0.412402\pi\)
\(614\) −3.96849 + 2.29121i −0.160155 + 0.0924657i
\(615\) −5.15047 24.6099i −0.207687 0.992366i
\(616\) 8.86390 + 7.38741i 0.357137 + 0.297647i
\(617\) −19.3269 + 19.3269i −0.778070 + 0.778070i −0.979502 0.201432i \(-0.935440\pi\)
0.201432 + 0.979502i \(0.435440\pi\)
\(618\) 0.893839 16.0908i 0.0359555 0.647268i
\(619\) 5.96820 + 22.2736i 0.239882 + 0.895252i 0.975887 + 0.218276i \(0.0700433\pi\)
−0.736005 + 0.676976i \(0.763290\pi\)
\(620\) 3.51531 + 2.02957i 0.141178 + 0.0815094i
\(621\) 9.23220 + 4.21484i 0.370475 + 0.169136i
\(622\) 3.47898 3.47898i 0.139494 0.139494i
\(623\) 3.18101 6.88158i 0.127444 0.275705i
\(624\) 3.91590 + 4.86474i 0.156762 + 0.194746i
\(625\) −10.1330 17.5509i −0.405321 0.702037i
\(626\) 1.77533 + 6.62563i 0.0709565 + 0.264813i
\(627\) 12.4628 + 4.09262i 0.497717 + 0.163444i
\(628\) −14.3679 + 8.29531i −0.573341 + 0.331019i
\(629\) −7.61956 + 7.61956i −0.303812 + 0.303812i
\(630\) −3.88244 15.7681i −0.154680 0.628215i
\(631\) 22.0518 22.0518i 0.877867 0.877867i −0.115447 0.993314i \(-0.536830\pi\)
0.993314 + 0.115447i \(0.0368299\pi\)
\(632\) −2.11927 + 7.90923i −0.0843001 + 0.314612i
\(633\) 1.81263 5.51981i 0.0720456 0.219393i
\(634\) −6.29939 3.63695i −0.250181 0.144442i
\(635\) 0.711513 2.65540i 0.0282355 0.105376i
\(636\) 12.6429 2.64597i 0.501325 0.104920i
\(637\) −3.24829 25.0290i −0.128702 0.991683i
\(638\) 31.0747i 1.23026i
\(639\) 23.4148 3.55831i 0.926276 0.140765i
\(640\) −1.02296 + 1.77182i −0.0404361 + 0.0700374i
\(641\) 20.1784 34.9501i 0.797000 1.38044i −0.124562 0.992212i \(-0.539752\pi\)
0.921562 0.388232i \(-0.126914\pi\)
\(642\) −1.02710 + 18.4897i −0.0405363 + 0.729732i
\(643\) −6.13057 6.13057i −0.241766 0.241766i 0.575814 0.817580i \(-0.304685\pi\)
−0.817580 + 0.575814i \(0.804685\pi\)
\(644\) −0.880336 + 5.09198i −0.0346901 + 0.200652i
\(645\) −36.8572 24.0999i −1.45125 0.948931i
\(646\) −3.14019 5.43897i −0.123549 0.213993i
\(647\) −16.8741 + 29.2268i −0.663389 + 1.14902i 0.316330 + 0.948649i \(0.397549\pi\)
−0.979719 + 0.200374i \(0.935784\pi\)
\(648\) 4.18607 7.96723i 0.164445 0.312982i
\(649\) −44.2580 + 25.5524i −1.73728 + 1.00302i
\(650\) 0.906579 2.79216i 0.0355590 0.109517i
\(651\) 2.04340 8.85928i 0.0800873 0.347223i
\(652\) 9.89681 + 9.89681i 0.387589 + 0.387589i
\(653\) −7.23789 + 4.17880i −0.283240 + 0.163529i −0.634889 0.772603i \(-0.718954\pi\)
0.351649 + 0.936132i \(0.385621\pi\)
\(654\) −8.48091 + 25.8260i −0.331630 + 1.00988i
\(655\) 13.4090 3.59292i 0.523932 0.140387i
\(656\) 6.85349 + 1.83639i 0.267584 + 0.0716989i
\(657\) 8.34810 21.3468i 0.325690 0.832819i
\(658\) 3.51142 4.21323i 0.136889 0.164249i
\(659\) 47.8017i 1.86209i −0.364904 0.931045i \(-0.618898\pi\)
0.364904 0.931045i \(-0.381102\pi\)
\(660\) −11.5174 + 10.3052i −0.448314 + 0.401128i
\(661\) 3.83392 + 14.3084i 0.149122 + 0.556532i 0.999537 + 0.0304196i \(0.00968434\pi\)
−0.850415 + 0.526113i \(0.823649\pi\)
\(662\) 14.6208 25.3239i 0.568252 0.984241i
\(663\) 8.15559 21.0618i 0.316737 0.817973i
\(664\) 9.15927 0.355449
\(665\) 6.01806 7.22086i 0.233370 0.280013i
\(666\) −3.58439 8.18835i −0.138892 0.317292i
\(667\) 12.0520 6.95825i 0.466657 0.269425i
\(668\) −4.88732 18.2397i −0.189096 0.705717i
\(669\) −21.4064 + 10.8228i −0.827620 + 0.418433i
\(670\) −15.4471 4.13905i −0.596775 0.159905i
\(671\) 34.2044 + 34.2044i 1.32045 + 1.32045i
\(672\) 4.46534 + 1.02994i 0.172254 + 0.0397306i
\(673\) 38.1300i 1.46980i 0.678173 + 0.734902i \(0.262772\pi\)
−0.678173 + 0.734902i \(0.737228\pi\)
\(674\) 9.03464 33.7178i 0.348001 1.29876i
\(675\) −4.21151 + 0.402669i −0.162101 + 0.0154988i
\(676\) −11.8739 + 5.29256i −0.456687 + 0.203560i
\(677\) 14.4620 8.34967i 0.555822 0.320904i −0.195645 0.980675i \(-0.562680\pi\)
0.751467 + 0.659771i \(0.229347\pi\)
\(678\) 30.0466 + 19.6466i 1.15393 + 0.754523i
\(679\) −0.397398 0.563529i −0.0152507 0.0216263i
\(680\) 7.39930 0.283750
\(681\) 14.7014 + 0.816655i 0.563358 + 0.0312943i
\(682\) −8.35791 + 2.23949i −0.320041 + 0.0857547i
\(683\) −22.1748 + 5.94172i −0.848496 + 0.227354i −0.656766 0.754094i \(-0.728076\pi\)
−0.191729 + 0.981448i \(0.561410\pi\)
\(684\) 5.15048 0.782710i 0.196934 0.0299277i
\(685\) 42.4344 1.62134
\(686\) −13.2263 12.9640i −0.504983 0.494967i
\(687\) 15.6278 23.9004i 0.596237 0.911858i
\(688\) 10.7621 6.21352i 0.410303 0.236888i
\(689\) −1.40161 + 26.8520i −0.0533969 + 1.02298i
\(690\) −6.57575 2.15939i −0.250334 0.0822064i
\(691\) −10.0065 + 37.3446i −0.380663 + 1.42066i 0.464227 + 0.885716i \(0.346332\pi\)
−0.844891 + 0.534939i \(0.820335\pi\)
\(692\) 4.25998i 0.161940i
\(693\) 29.6196 + 17.9154i 1.12516 + 0.680551i
\(694\) −7.58465 7.58465i −0.287909 0.287909i
\(695\) −10.9406 2.93152i −0.414999 0.111199i
\(696\) −5.56831 11.0136i −0.211066 0.417469i
\(697\) −6.64149 24.7864i −0.251565 0.938852i
\(698\) −29.6129 + 17.0970i −1.12086 + 0.647130i
\(699\) 26.6038 5.56777i 1.00625 0.210592i
\(700\) −0.743526 2.02179i −0.0281026 0.0764166i
\(701\) −33.0964 −1.25003 −0.625016 0.780612i \(-0.714908\pi\)
−0.625016 + 0.780612i \(0.714908\pi\)
\(702\) 13.8070 + 12.6636i 0.521113 + 0.477955i
\(703\) 2.58701 4.48083i 0.0975709 0.168998i
\(704\) −1.12877 4.21263i −0.0425422 0.158769i
\(705\) 4.89829 + 5.47450i 0.184480 + 0.206181i
\(706\) 18.3608i 0.691018i
\(707\) 14.0163 16.8176i 0.527136 0.632492i
\(708\) −11.1073 + 16.9870i −0.417438 + 0.638411i
\(709\) −47.0107 12.5965i −1.76553 0.473071i −0.777700 0.628636i \(-0.783614\pi\)
−0.987826 + 0.155565i \(0.950280\pi\)
\(710\) −15.6013 + 4.18035i −0.585506 + 0.156886i
\(711\) −2.72072 + 24.4136i −0.102035 + 0.915581i
\(712\) −2.48154 + 1.43272i −0.0929995 + 0.0536933i
\(713\) −2.74008 2.74008i −0.102617 0.102617i
\(714\) −4.84885 15.8482i −0.181464 0.593104i
\(715\) −14.6115 28.6619i −0.546440 1.07189i
\(716\) 16.5472 9.55356i 0.618400 0.357033i
\(717\) −2.09416 4.14204i −0.0782077 0.154687i
\(718\) −8.37235 + 14.5013i −0.312453 + 0.541185i
\(719\) −19.6014 33.9506i −0.731009 1.26614i −0.956453 0.291888i \(-0.905717\pi\)
0.225444 0.974256i \(-0.427617\pi\)
\(720\) −2.23544 + 5.71621i −0.0833098 + 0.213030i
\(721\) 23.1042 8.49671i 0.860446 0.316434i
\(722\) −11.3027 11.3027i −0.420643 0.420643i
\(723\) 44.6600 + 2.48084i 1.66092 + 0.0922636i
\(724\) −0.329286 + 0.570340i −0.0122378 + 0.0211965i
\(725\) −2.90068 + 5.02412i −0.107728 + 0.186591i
\(726\) 0.770490 13.8703i 0.0285956 0.514776i
\(727\) 35.3118i 1.30964i 0.755784 + 0.654821i \(0.227256\pi\)
−0.755784 + 0.654821i \(0.772744\pi\)
\(728\) −4.44856 + 8.43862i −0.164875 + 0.312756i
\(729\) 8.82461 25.5172i 0.326837 0.945081i
\(730\) −4.04576 + 15.0990i −0.149740 + 0.558838i
\(731\) −38.9224 22.4719i −1.43960 0.831152i
\(732\) 18.2520 + 5.99371i 0.674613 + 0.221534i
\(733\) 6.67970 24.9290i 0.246720 0.920773i −0.725790 0.687916i \(-0.758526\pi\)
0.972511 0.232857i \(-0.0748076\pi\)
\(734\) −3.81958 + 3.81958i −0.140983 + 0.140983i
\(735\) 19.7575 14.9984i 0.728767 0.553226i
\(736\) 1.38108 1.38108i 0.0509072 0.0509072i
\(737\) 29.5226 17.0449i 1.08748 0.627857i
\(738\) 21.1548 + 2.35756i 0.778720 + 0.0867829i
\(739\) 6.24936 + 23.3229i 0.229886 + 0.857948i 0.980388 + 0.197079i \(0.0631454\pi\)
−0.750501 + 0.660869i \(0.770188\pi\)
\(740\) 3.04792 + 5.27914i 0.112044 + 0.194065i
\(741\) −1.16510 + 10.7819i −0.0428009 + 0.396083i
\(742\) 11.3710 + 16.1247i 0.417444 + 0.591956i
\(743\) 8.33082 8.33082i 0.305628 0.305628i −0.537583 0.843211i \(-0.680662\pi\)
0.843211 + 0.537583i \(0.180662\pi\)
\(744\) −2.56094 + 2.29140i −0.0938886 + 0.0840066i
\(745\) 1.34331 + 0.775562i 0.0492152 + 0.0284144i
\(746\) 2.83324 + 10.5738i 0.103732 + 0.387134i
\(747\) 27.1659 4.12836i 0.993949 0.151049i
\(748\) −11.1531 + 11.1531i −0.407798 + 0.407798i
\(749\) −26.5487 + 9.76345i −0.970069 + 0.356749i
\(750\) 20.1665 4.22054i 0.736378 0.154112i
\(751\) 37.9371 21.9030i 1.38434 0.799251i 0.391674 0.920104i \(-0.371896\pi\)
0.992670 + 0.120853i \(0.0385629\pi\)
\(752\) −2.00237 + 0.536532i −0.0730188 + 0.0195653i
\(753\) 4.21991 12.8504i 0.153782 0.468296i
\(754\) 25.1277 5.34658i 0.915098 0.194711i
\(755\) 18.6450i 0.678562i
\(756\) 13.7082 + 1.04207i 0.498562 + 0.0378999i
\(757\) 8.41018 0.305673 0.152837 0.988251i \(-0.451159\pi\)
0.152837 + 0.988251i \(0.451159\pi\)
\(758\) −7.29852 12.6414i −0.265094 0.459156i
\(759\) 13.1666 6.65686i 0.477919 0.241629i
\(760\) −3.43176 + 0.919538i −0.124483 + 0.0333552i
\(761\) −11.6888 + 43.6231i −0.423718 + 1.58134i 0.342989 + 0.939340i \(0.388561\pi\)
−0.766707 + 0.641998i \(0.778106\pi\)
\(762\) 1.94788 + 1.27366i 0.0705643 + 0.0461399i
\(763\) −41.3522 + 3.75700i −1.49705 + 0.136013i
\(764\) 13.1942 0.477350
\(765\) 21.9459 3.33508i 0.793456 0.120580i
\(766\) 4.84159 + 2.79529i 0.174934 + 0.100998i
\(767\) −28.2771 31.3917i −1.02103 1.13349i
\(768\) −1.15493 1.29079i −0.0416750 0.0465773i
\(769\) −24.1688 24.1688i −0.871549 0.871549i 0.121092 0.992641i \(-0.461360\pi\)
−0.992641 + 0.121092i \(0.961360\pi\)
\(770\) −21.4287 9.90542i −0.772238 0.356967i
\(771\) −9.65062 + 2.01973i −0.347559 + 0.0727386i
\(772\) 3.71437 13.8622i 0.133683 0.498912i
\(773\) −12.8361 47.9049i −0.461681 1.72302i −0.667664 0.744463i \(-0.732706\pi\)
0.205983 0.978556i \(-0.433961\pi\)
\(774\) 29.1193 23.2798i