Properties

Label 930.2.o.e.491.5
Level $930$
Weight $2$
Character 930.491
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 491.5
Character \(\chi\) \(=\) 930.491
Dual form 930.2.o.e.161.15

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-0.346599 + 1.69702i) q^{3} -1.00000 q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.69702 + 0.346599i) q^{6} +(1.71736 - 2.97455i) q^{7} +1.00000i q^{8} +(-2.75974 - 1.17637i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-0.346599 + 1.69702i) q^{3} -1.00000 q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.69702 + 0.346599i) q^{6} +(1.71736 - 2.97455i) q^{7} +1.00000i q^{8} +(-2.75974 - 1.17637i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.402897 - 0.697837i) q^{11} +(0.346599 - 1.69702i) q^{12} +(-2.61618 + 1.51045i) q^{13} +(-2.97455 - 1.71736i) q^{14} +(-0.548346 - 1.64296i) q^{15} +1.00000 q^{16} +(-1.94308 + 3.36552i) q^{17} +(-1.17637 + 2.75974i) q^{18} +(-1.37995 + 2.39014i) q^{19} +(0.866025 - 0.500000i) q^{20} +(4.45263 + 3.94536i) q^{21} +(-0.697837 + 0.402897i) q^{22} +0.142267 q^{23} +(-1.69702 - 0.346599i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.51045 + 2.61618i) q^{26} +(2.95284 - 4.27560i) q^{27} +(-1.71736 + 2.97455i) q^{28} -7.20137 q^{29} +(-1.64296 + 0.548346i) q^{30} +(-1.97991 - 5.20384i) q^{31} -1.00000i q^{32} +(1.32389 - 0.441853i) q^{33} +(3.36552 + 1.94308i) q^{34} +3.43472i q^{35} +(2.75974 + 1.17637i) q^{36} +(-9.28550 - 5.36099i) q^{37} +(2.39014 + 1.37995i) q^{38} +(-1.65650 - 4.96323i) q^{39} +(-0.500000 - 0.866025i) q^{40} +(0.634427 - 0.366287i) q^{41} +(3.94536 - 4.45263i) q^{42} +(-0.711673 - 0.410885i) q^{43} +(0.402897 + 0.697837i) q^{44} +(2.97819 - 0.361105i) q^{45} -0.142267i q^{46} +4.88227i q^{47} +(-0.346599 + 1.69702i) q^{48} +(-2.39863 - 4.15456i) q^{49} +(-0.866025 - 0.500000i) q^{50} +(-5.03787 - 4.46393i) q^{51} +(2.61618 - 1.51045i) q^{52} +(-6.79605 - 11.7711i) q^{53} +(-4.27560 - 2.95284i) q^{54} +(0.697837 + 0.402897i) q^{55} +(2.97455 + 1.71736i) q^{56} +(-3.57782 - 3.17021i) q^{57} +7.20137i q^{58} +(-11.5957 - 6.69476i) q^{59} +(0.548346 + 1.64296i) q^{60} +10.6269i q^{61} +(-5.20384 + 1.97991i) q^{62} +(-8.23862 + 6.18874i) q^{63} -1.00000 q^{64} +(1.51045 - 2.61618i) q^{65} +(-0.441853 - 1.32389i) q^{66} +(-0.342847 - 0.593829i) q^{67} +(1.94308 - 3.36552i) q^{68} +(-0.0493096 + 0.241430i) q^{69} +3.43472 q^{70} +(-9.83676 + 5.67926i) q^{71} +(1.17637 - 2.75974i) q^{72} +(0.721718 - 0.416684i) q^{73} +(-5.36099 + 9.28550i) q^{74} +(1.29636 + 1.14867i) q^{75} +(1.37995 - 2.39014i) q^{76} -2.76767 q^{77} +(-4.96323 + 1.65650i) q^{78} +(2.81725 + 1.62654i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(6.23232 + 6.49294i) q^{81} +(-0.366287 - 0.634427i) q^{82} +(-0.934238 - 1.61815i) q^{83} +(-4.45263 - 3.94536i) q^{84} -3.88616i q^{85} +(-0.410885 + 0.711673i) q^{86} +(2.49599 - 12.2209i) q^{87} +(0.697837 - 0.402897i) q^{88} +7.24740 q^{89} +(-0.361105 - 2.97819i) q^{90} +10.3760i q^{91} -0.142267 q^{92} +(9.51724 - 1.55631i) q^{93} +4.88227 q^{94} -2.75989i q^{95} +(1.69702 + 0.346599i) q^{96} +16.1867 q^{97} +(-4.15456 + 2.39863i) q^{98} +(0.290976 + 2.39980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.346599 + 1.69702i −0.200109 + 0.979774i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.69702 + 0.346599i 0.692805 + 0.141498i
\(7\) 1.71736 2.97455i 0.649100 1.12427i −0.334238 0.942489i \(-0.608479\pi\)
0.983338 0.181786i \(-0.0581877\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.75974 1.17637i −0.919913 0.392123i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) −0.402897 0.697837i −0.121478 0.210406i 0.798873 0.601500i \(-0.205430\pi\)
−0.920351 + 0.391094i \(0.872097\pi\)
\(12\) 0.346599 1.69702i 0.100054 0.489887i
\(13\) −2.61618 + 1.51045i −0.725599 + 0.418925i −0.816810 0.576907i \(-0.804260\pi\)
0.0912110 + 0.995832i \(0.470926\pi\)
\(14\) −2.97455 1.71736i −0.794982 0.458983i
\(15\) −0.548346 1.64296i −0.141582 0.424210i
\(16\) 1.00000 0.250000
\(17\) −1.94308 + 3.36552i −0.471267 + 0.816258i −0.999460 0.0328666i \(-0.989536\pi\)
0.528193 + 0.849124i \(0.322870\pi\)
\(18\) −1.17637 + 2.75974i −0.277273 + 0.650477i
\(19\) −1.37995 + 2.39014i −0.316581 + 0.548335i −0.979772 0.200115i \(-0.935868\pi\)
0.663191 + 0.748450i \(0.269202\pi\)
\(20\) 0.866025 0.500000i 0.193649 0.111803i
\(21\) 4.45263 + 3.94536i 0.971644 + 0.860948i
\(22\) −0.697837 + 0.402897i −0.148779 + 0.0858978i
\(23\) 0.142267 0.0296648 0.0148324 0.999890i \(-0.495279\pi\)
0.0148324 + 0.999890i \(0.495279\pi\)
\(24\) −1.69702 0.346599i −0.346402 0.0707492i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.51045 + 2.61618i 0.296225 + 0.513076i
\(27\) 2.95284 4.27560i 0.568274 0.822839i
\(28\) −1.71736 + 2.97455i −0.324550 + 0.562137i
\(29\) −7.20137 −1.33726 −0.668631 0.743595i \(-0.733119\pi\)
−0.668631 + 0.743595i \(0.733119\pi\)
\(30\) −1.64296 + 0.548346i −0.299962 + 0.100114i
\(31\) −1.97991 5.20384i −0.355603 0.934637i
\(32\) 1.00000i 0.176777i
\(33\) 1.32389 0.441853i 0.230459 0.0769168i
\(34\) 3.36552 + 1.94308i 0.577181 + 0.333236i
\(35\) 3.43472i 0.580573i
\(36\) 2.75974 + 1.17637i 0.459956 + 0.196061i
\(37\) −9.28550 5.36099i −1.52653 0.881341i −0.999504 0.0314905i \(-0.989975\pi\)
−0.527024 0.849851i \(-0.676692\pi\)
\(38\) 2.39014 + 1.37995i 0.387732 + 0.223857i
\(39\) −1.65650 4.96323i −0.265253 0.794753i
\(40\) −0.500000 0.866025i −0.0790569 0.136931i
\(41\) 0.634427 0.366287i 0.0990809 0.0572044i −0.449641 0.893209i \(-0.648448\pi\)
0.548722 + 0.836005i \(0.315115\pi\)
\(42\) 3.94536 4.45263i 0.608783 0.687056i
\(43\) −0.711673 0.410885i −0.108529 0.0626594i 0.444753 0.895653i \(-0.353291\pi\)
−0.553282 + 0.832994i \(0.686625\pi\)
\(44\) 0.402897 + 0.697837i 0.0607389 + 0.105203i
\(45\) 2.97819 0.361105i 0.443962 0.0538303i
\(46\) 0.142267i 0.0209761i
\(47\) 4.88227i 0.712152i 0.934457 + 0.356076i \(0.115886\pi\)
−0.934457 + 0.356076i \(0.884114\pi\)
\(48\) −0.346599 + 1.69702i −0.0500272 + 0.244943i
\(49\) −2.39863 4.15456i −0.342662 0.593508i
\(50\) −0.866025 0.500000i −0.122474 0.0707107i
\(51\) −5.03787 4.46393i −0.705443 0.625075i
\(52\) 2.61618 1.51045i 0.362799 0.209462i
\(53\) −6.79605 11.7711i −0.933509 1.61688i −0.777272 0.629165i \(-0.783397\pi\)
−0.156237 0.987720i \(-0.549936\pi\)
\(54\) −4.27560 2.95284i −0.581835 0.401831i
\(55\) 0.697837 + 0.402897i 0.0940964 + 0.0543266i
\(56\) 2.97455 + 1.71736i 0.397491 + 0.229492i
\(57\) −3.57782 3.17021i −0.473894 0.419905i
\(58\) 7.20137i 0.945587i
\(59\) −11.5957 6.69476i −1.50963 0.871584i −0.999937 0.0112259i \(-0.996427\pi\)
−0.509690 0.860358i \(-0.670240\pi\)
\(60\) 0.548346 + 1.64296i 0.0707911 + 0.212105i
\(61\) 10.6269i 1.36064i 0.732916 + 0.680319i \(0.238159\pi\)
−0.732916 + 0.680319i \(0.761841\pi\)
\(62\) −5.20384 + 1.97991i −0.660888 + 0.251449i
\(63\) −8.23862 + 6.18874i −1.03797 + 0.779708i
\(64\) −1.00000 −0.125000
\(65\) 1.51045 2.61618i 0.187349 0.324498i
\(66\) −0.441853 1.32389i −0.0543884 0.162959i
\(67\) −0.342847 0.593829i −0.0418854 0.0725477i 0.844323 0.535835i \(-0.180003\pi\)
−0.886208 + 0.463287i \(0.846670\pi\)
\(68\) 1.94308 3.36552i 0.235633 0.408129i
\(69\) −0.0493096 + 0.241430i −0.00593618 + 0.0290647i
\(70\) 3.43472 0.410527
\(71\) −9.83676 + 5.67926i −1.16741 + 0.674004i −0.953068 0.302755i \(-0.902094\pi\)
−0.214340 + 0.976759i \(0.568760\pi\)
\(72\) 1.17637 2.75974i 0.138636 0.325238i
\(73\) 0.721718 0.416684i 0.0844707 0.0487692i −0.457170 0.889380i \(-0.651137\pi\)
0.541640 + 0.840610i \(0.317803\pi\)
\(74\) −5.36099 + 9.28550i −0.623202 + 1.07942i
\(75\) 1.29636 + 1.14867i 0.149691 + 0.132637i
\(76\) 1.37995 2.39014i 0.158291 0.274168i
\(77\) −2.76767 −0.315405
\(78\) −4.96323 + 1.65650i −0.561975 + 0.187562i
\(79\) 2.81725 + 1.62654i 0.316966 + 0.183000i 0.650039 0.759901i \(-0.274752\pi\)
−0.333074 + 0.942901i \(0.608086\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 6.23232 + 6.49294i 0.692480 + 0.721438i
\(82\) −0.366287 0.634427i −0.0404496 0.0700608i
\(83\) −0.934238 1.61815i −0.102546 0.177615i 0.810187 0.586172i \(-0.199366\pi\)
−0.912733 + 0.408557i \(0.866032\pi\)
\(84\) −4.45263 3.94536i −0.485822 0.430474i
\(85\) 3.88616i 0.421514i
\(86\) −0.410885 + 0.711673i −0.0443069 + 0.0767417i
\(87\) 2.49599 12.2209i 0.267598 1.31021i
\(88\) 0.697837 0.402897i 0.0743897 0.0429489i
\(89\) 7.24740 0.768222 0.384111 0.923287i \(-0.374508\pi\)
0.384111 + 0.923287i \(0.374508\pi\)
\(90\) −0.361105 2.97819i −0.0380638 0.313929i
\(91\) 10.3760i 1.08770i
\(92\) −0.142267 −0.0148324
\(93\) 9.51724 1.55631i 0.986892 0.161382i
\(94\) 4.88227 0.503567
\(95\) 2.75989i 0.283159i
\(96\) 1.69702 + 0.346599i 0.173201 + 0.0353746i
\(97\) 16.1867 1.64351 0.821755 0.569841i \(-0.192995\pi\)
0.821755 + 0.569841i \(0.192995\pi\)
\(98\) −4.15456 + 2.39863i −0.419674 + 0.242299i
\(99\) 0.290976 + 2.39980i 0.0292442 + 0.241189i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 3.07118i 0.305594i 0.988258 + 0.152797i \(0.0488281\pi\)
−0.988258 + 0.152797i \(0.951172\pi\)
\(102\) −4.46393 + 5.03787i −0.441995 + 0.498824i
\(103\) −0.368713 0.638630i −0.0363304 0.0629261i 0.847288 0.531133i \(-0.178234\pi\)
−0.883619 + 0.468207i \(0.844900\pi\)
\(104\) −1.51045 2.61618i −0.148112 0.256538i
\(105\) −5.82877 1.19047i −0.568830 0.116178i
\(106\) −11.7711 + 6.79605i −1.14331 + 0.660090i
\(107\) 1.85660 + 1.07191i 0.179484 + 0.103625i 0.587050 0.809551i \(-0.300289\pi\)
−0.407566 + 0.913176i \(0.633622\pi\)
\(108\) −2.95284 + 4.27560i −0.284137 + 0.411420i
\(109\) −14.2883 −1.36857 −0.684284 0.729216i \(-0.739885\pi\)
−0.684284 + 0.729216i \(0.739885\pi\)
\(110\) 0.402897 0.697837i 0.0384147 0.0665362i
\(111\) 12.3160 13.8996i 1.16899 1.31929i
\(112\) 1.71736 2.97455i 0.162275 0.281069i
\(113\) 13.2560 7.65337i 1.24702 0.719968i 0.276508 0.961012i \(-0.410823\pi\)
0.970514 + 0.241043i \(0.0774896\pi\)
\(114\) −3.17021 + 3.57782i −0.296918 + 0.335093i
\(115\) −0.123207 + 0.0711336i −0.0114891 + 0.00663324i
\(116\) 7.20137 0.668631
\(117\) 8.99684 1.09086i 0.831758 0.100850i
\(118\) −6.69476 + 11.5957i −0.616303 + 1.06747i
\(119\) 6.67393 + 11.5596i 0.611798 + 1.05967i
\(120\) 1.64296 0.548346i 0.149981 0.0500569i
\(121\) 5.17535 8.96397i 0.470486 0.814906i
\(122\) 10.6269 0.962117
\(123\) 0.401704 + 1.20359i 0.0362204 + 0.108524i
\(124\) 1.97991 + 5.20384i 0.177802 + 0.467319i
\(125\) 1.00000i 0.0894427i
\(126\) 6.18874 + 8.23862i 0.551337 + 0.733955i
\(127\) 9.01862 + 5.20690i 0.800273 + 0.462038i 0.843567 0.537024i \(-0.180452\pi\)
−0.0432935 + 0.999062i \(0.513785\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 0.943944 1.06531i 0.0831096 0.0937953i
\(130\) −2.61618 1.51045i −0.229455 0.132476i
\(131\) −14.0976 8.13923i −1.23171 0.711128i −0.264323 0.964434i \(-0.585148\pi\)
−0.967386 + 0.253307i \(0.918482\pi\)
\(132\) −1.32389 + 0.441853i −0.115229 + 0.0384584i
\(133\) 4.73972 + 8.20944i 0.410986 + 0.711849i
\(134\) −0.593829 + 0.342847i −0.0512990 + 0.0296175i
\(135\) −0.419435 + 5.17920i −0.0360992 + 0.445754i
\(136\) −3.36552 1.94308i −0.288591 0.166618i
\(137\) −3.25803 5.64307i −0.278352 0.482120i 0.692623 0.721299i \(-0.256455\pi\)
−0.970975 + 0.239180i \(0.923121\pi\)
\(138\) 0.241430 + 0.0493096i 0.0205519 + 0.00419751i
\(139\) 16.3232i 1.38452i 0.721648 + 0.692260i \(0.243385\pi\)
−0.721648 + 0.692260i \(0.756615\pi\)
\(140\) 3.43472i 0.290286i
\(141\) −8.28529 1.69219i −0.697747 0.142508i
\(142\) 5.67926 + 9.83676i 0.476593 + 0.825483i
\(143\) 2.10810 + 1.21711i 0.176288 + 0.101780i
\(144\) −2.75974 1.17637i −0.229978 0.0980307i
\(145\) 6.23657 3.60069i 0.517919 0.299021i
\(146\) −0.416684 0.721718i −0.0344850 0.0597298i
\(147\) 7.88172 2.63056i 0.650073 0.216965i
\(148\) 9.28550 + 5.36099i 0.763264 + 0.440671i
\(149\) 2.68851 + 1.55221i 0.220251 + 0.127162i 0.606067 0.795414i \(-0.292747\pi\)
−0.385815 + 0.922576i \(0.626080\pi\)
\(150\) 1.14867 1.29636i 0.0937887 0.105847i
\(151\) 19.8572i 1.61596i 0.589212 + 0.807979i \(0.299438\pi\)
−0.589212 + 0.807979i \(0.700562\pi\)
\(152\) −2.39014 1.37995i −0.193866 0.111928i
\(153\) 9.32148 7.00217i 0.753597 0.566092i
\(154\) 2.76767i 0.223025i
\(155\) 4.31658 + 3.51670i 0.346716 + 0.282468i
\(156\) 1.65650 + 4.96323i 0.132626 + 0.397377i
\(157\) 1.70330 0.135938 0.0679690 0.997687i \(-0.478348\pi\)
0.0679690 + 0.997687i \(0.478348\pi\)
\(158\) 1.62654 2.81725i 0.129401 0.224129i
\(159\) 22.3313 7.45317i 1.77098 0.591074i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.244324 0.423181i 0.0192554 0.0333513i
\(162\) 6.49294 6.23232i 0.510133 0.489657i
\(163\) 2.96548 0.232274 0.116137 0.993233i \(-0.462949\pi\)
0.116137 + 0.993233i \(0.462949\pi\)
\(164\) −0.634427 + 0.366287i −0.0495405 + 0.0286022i
\(165\) −0.925592 + 1.04460i −0.0720572 + 0.0813219i
\(166\) −1.61815 + 0.934238i −0.125593 + 0.0725109i
\(167\) −11.5431 + 19.9933i −0.893235 + 1.54713i −0.0572603 + 0.998359i \(0.518236\pi\)
−0.835974 + 0.548768i \(0.815097\pi\)
\(168\) −3.94536 + 4.45263i −0.304391 + 0.343528i
\(169\) −1.93705 + 3.35507i −0.149004 + 0.258083i
\(170\) −3.88616 −0.298055
\(171\) 6.61997 4.97283i 0.506242 0.380282i
\(172\) 0.711673 + 0.410885i 0.0542646 + 0.0313297i
\(173\) 11.7703 6.79559i 0.894880 0.516659i 0.0193444 0.999813i \(-0.493842\pi\)
0.875536 + 0.483154i \(0.160509\pi\)
\(174\) −12.2209 2.49599i −0.926461 0.189220i
\(175\) −1.71736 2.97455i −0.129820 0.224855i
\(176\) −0.402897 0.697837i −0.0303695 0.0526015i
\(177\) 15.3802 17.3577i 1.15604 1.30468i
\(178\) 7.24740i 0.543215i
\(179\) 1.61838 2.80311i 0.120963 0.209514i −0.799185 0.601086i \(-0.794735\pi\)
0.920148 + 0.391571i \(0.128068\pi\)
\(180\) −2.97819 + 0.361105i −0.221981 + 0.0269152i
\(181\) −14.2426 + 8.22298i −1.05865 + 0.611209i −0.925057 0.379827i \(-0.875983\pi\)
−0.133588 + 0.991037i \(0.542650\pi\)
\(182\) 10.3760 0.769118
\(183\) −18.0341 3.68328i −1.33312 0.272276i
\(184\) 0.142267i 0.0104881i
\(185\) 10.7220 0.788295
\(186\) −1.55631 9.51724i −0.114114 0.697838i
\(187\) 3.13144 0.228994
\(188\) 4.88227i 0.356076i
\(189\) −7.64690 16.1261i −0.556230 1.17300i
\(190\) −2.75989 −0.200224
\(191\) 11.6288 6.71391i 0.841433 0.485802i −0.0163179 0.999867i \(-0.505194\pi\)
0.857751 + 0.514065i \(0.171861\pi\)
\(192\) 0.346599 1.69702i 0.0250136 0.122472i
\(193\) 7.75886 13.4387i 0.558495 0.967341i −0.439128 0.898425i \(-0.644712\pi\)
0.997622 0.0689165i \(-0.0219542\pi\)
\(194\) 16.1867i 1.16214i
\(195\) 3.91619 + 3.47003i 0.280444 + 0.248494i
\(196\) 2.39863 + 4.15456i 0.171331 + 0.296754i
\(197\) −2.76263 4.78502i −0.196829 0.340918i 0.750669 0.660678i \(-0.229731\pi\)
−0.947499 + 0.319760i \(0.896398\pi\)
\(198\) 2.39980 0.290976i 0.170547 0.0206787i
\(199\) −13.6901 + 7.90400i −0.970467 + 0.560299i −0.899379 0.437171i \(-0.855981\pi\)
−0.0710885 + 0.997470i \(0.522647\pi\)
\(200\) 0.866025 + 0.500000i 0.0612372 + 0.0353553i
\(201\) 1.12657 0.375997i 0.0794620 0.0265208i
\(202\) 3.07118 0.216088
\(203\) −12.3673 + 21.4208i −0.868017 + 1.50345i
\(204\) 5.03787 + 4.46393i 0.352722 + 0.312537i
\(205\) −0.366287 + 0.634427i −0.0255826 + 0.0443103i
\(206\) −0.638630 + 0.368713i −0.0444954 + 0.0256895i
\(207\) −0.392620 0.167359i −0.0272890 0.0116322i
\(208\) −2.61618 + 1.51045i −0.181400 + 0.104731i
\(209\) 2.22390 0.153831
\(210\) −1.19047 + 5.82877i −0.0821501 + 0.402224i
\(211\) −8.66050 + 15.0004i −0.596214 + 1.03267i 0.397161 + 0.917749i \(0.369996\pi\)
−0.993374 + 0.114923i \(0.963338\pi\)
\(212\) 6.79605 + 11.7711i 0.466754 + 0.808442i
\(213\) −6.22839 18.6616i −0.426762 1.27867i
\(214\) 1.07191 1.85660i 0.0732740 0.126914i
\(215\) 0.821770 0.0560442
\(216\) 4.27560 + 2.95284i 0.290918 + 0.200915i
\(217\) −18.8793 3.04750i −1.28161 0.206877i
\(218\) 14.2883i 0.967724i
\(219\) 0.456974 + 1.36919i 0.0308794 + 0.0925214i
\(220\) −0.697837 0.402897i −0.0470482 0.0271633i
\(221\) 11.7397i 0.789701i
\(222\) −13.8996 12.3160i −0.932877 0.826598i
\(223\) 0.150848 + 0.0870923i 0.0101016 + 0.00583213i 0.505042 0.863095i \(-0.331477\pi\)
−0.494941 + 0.868927i \(0.664810\pi\)
\(224\) −2.97455 1.71736i −0.198746 0.114746i
\(225\) −2.39863 + 1.80182i −0.159909 + 0.120121i
\(226\) −7.65337 13.2560i −0.509095 0.881778i
\(227\) 19.6588 11.3500i 1.30480 0.753327i 0.323577 0.946202i \(-0.395114\pi\)
0.981223 + 0.192875i \(0.0617811\pi\)
\(228\) 3.57782 + 3.17021i 0.236947 + 0.209952i
\(229\) 4.32320 + 2.49600i 0.285685 + 0.164940i 0.635994 0.771694i \(-0.280590\pi\)
−0.350309 + 0.936634i \(0.613924\pi\)
\(230\) 0.0711336 + 0.123207i 0.00469041 + 0.00812403i
\(231\) 0.959271 4.69678i 0.0631154 0.309026i
\(232\) 7.20137i 0.472793i
\(233\) 2.46821i 0.161698i −0.996726 0.0808491i \(-0.974237\pi\)
0.996726 0.0808491i \(-0.0257632\pi\)
\(234\) −1.09086 8.99684i −0.0713120 0.588142i
\(235\) −2.44113 4.22817i −0.159242 0.275815i
\(236\) 11.5957 + 6.69476i 0.754814 + 0.435792i
\(237\) −3.73672 + 4.21717i −0.242726 + 0.273935i
\(238\) 11.5596 6.67393i 0.749297 0.432607i
\(239\) 6.74918 + 11.6899i 0.436568 + 0.756158i 0.997422 0.0717566i \(-0.0228605\pi\)
−0.560854 + 0.827915i \(0.689527\pi\)
\(240\) −0.548346 1.64296i −0.0353956 0.106053i
\(241\) −6.84964 3.95464i −0.441224 0.254741i 0.262892 0.964825i \(-0.415324\pi\)
−0.704117 + 0.710084i \(0.748657\pi\)
\(242\) −8.96397 5.17535i −0.576226 0.332684i
\(243\) −13.1787 + 8.32591i −0.845417 + 0.534107i
\(244\) 10.6269i 0.680319i
\(245\) 4.15456 + 2.39863i 0.265425 + 0.153243i
\(246\) 1.20359 0.401704i 0.0767380 0.0256117i
\(247\) 8.33739i 0.530495i
\(248\) 5.20384 1.97991i 0.330444 0.125725i
\(249\) 3.06983 1.02457i 0.194543 0.0649295i
\(250\) 1.00000 0.0632456
\(251\) 9.52107 16.4910i 0.600965 1.04090i −0.391711 0.920089i \(-0.628117\pi\)
0.992675 0.120813i \(-0.0385501\pi\)
\(252\) 8.23862 6.18874i 0.518985 0.389854i
\(253\) −0.0573189 0.0992793i −0.00360361 0.00624164i
\(254\) 5.20690 9.01862i 0.326710 0.565879i
\(255\) 6.59489 + 1.34694i 0.412988 + 0.0843486i
\(256\) 1.00000 0.0625000
\(257\) 3.10579 1.79313i 0.193734 0.111852i −0.399995 0.916517i \(-0.630988\pi\)
0.593729 + 0.804665i \(0.297655\pi\)
\(258\) −1.06531 0.943944i −0.0663233 0.0587674i
\(259\) −31.8931 + 18.4135i −1.98174 + 1.14416i
\(260\) −1.51045 + 2.61618i −0.0936744 + 0.162249i
\(261\) 19.8739 + 8.47147i 1.23016 + 0.524371i
\(262\) −8.13923 + 14.0976i −0.502843 + 0.870950i
\(263\) −16.7103 −1.03040 −0.515200 0.857070i \(-0.672282\pi\)
−0.515200 + 0.857070i \(0.672282\pi\)
\(264\) 0.441853 + 1.32389i 0.0271942 + 0.0814795i
\(265\) 11.7711 + 6.79605i 0.723093 + 0.417478i
\(266\) 8.20944 4.73972i 0.503353 0.290611i
\(267\) −2.51194 + 12.2990i −0.153728 + 0.752684i
\(268\) 0.342847 + 0.593829i 0.0209427 + 0.0362739i
\(269\) 9.69936 + 16.7998i 0.591381 + 1.02430i 0.994047 + 0.108954i \(0.0347502\pi\)
−0.402666 + 0.915347i \(0.631916\pi\)
\(270\) 5.17920 + 0.419435i 0.315196 + 0.0255260i
\(271\) 4.62368i 0.280869i −0.990090 0.140434i \(-0.955150\pi\)
0.990090 0.140434i \(-0.0448499\pi\)
\(272\) −1.94308 + 3.36552i −0.117817 + 0.204064i
\(273\) −17.6082 3.59630i −1.06570 0.217658i
\(274\) −5.64307 + 3.25803i −0.340910 + 0.196825i
\(275\) −0.805793 −0.0485911
\(276\) 0.0493096 0.241430i 0.00296809 0.0145324i
\(277\) 23.9855i 1.44115i −0.693377 0.720575i \(-0.743878\pi\)
0.693377 0.720575i \(-0.256122\pi\)
\(278\) 16.3232 0.979003
\(279\) −0.657583 + 16.6903i −0.0393685 + 0.999225i
\(280\) −3.43472 −0.205263
\(281\) 9.55099i 0.569764i −0.958563 0.284882i \(-0.908046\pi\)
0.958563 0.284882i \(-0.0919544\pi\)
\(282\) −1.69219 + 8.28529i −0.100768 + 0.493382i
\(283\) 12.9772 0.771415 0.385708 0.922621i \(-0.373957\pi\)
0.385708 + 0.922621i \(0.373957\pi\)
\(284\) 9.83676 5.67926i 0.583704 0.337002i
\(285\) 4.68359 + 0.956575i 0.277432 + 0.0566626i
\(286\) 1.21711 2.10810i 0.0719695 0.124655i
\(287\) 2.51618i 0.148525i
\(288\) −1.17637 + 2.75974i −0.0693182 + 0.162619i
\(289\) 0.948867 + 1.64349i 0.0558157 + 0.0966757i
\(290\) −3.60069 6.23657i −0.211440 0.366224i
\(291\) −5.61029 + 27.4691i −0.328881 + 1.61027i
\(292\) −0.721718 + 0.416684i −0.0422354 + 0.0243846i
\(293\) −14.6795 8.47522i −0.857586 0.495128i 0.00561696 0.999984i \(-0.498212\pi\)
−0.863203 + 0.504857i \(0.831545\pi\)
\(294\) −2.63056 7.88172i −0.153417 0.459671i
\(295\) 13.3895 0.779568
\(296\) 5.36099 9.28550i 0.311601 0.539709i
\(297\) −4.17336 0.337978i −0.242163 0.0196115i
\(298\) 1.55221 2.68851i 0.0899171 0.155741i
\(299\) −0.372197 + 0.214888i −0.0215247 + 0.0124273i
\(300\) −1.29636 1.14867i −0.0748454 0.0663186i
\(301\) −2.44440 + 1.41127i −0.140893 + 0.0813444i
\(302\) 19.8572 1.14265
\(303\) −5.21185 1.06447i −0.299413 0.0611521i
\(304\) −1.37995 + 2.39014i −0.0791454 + 0.137084i
\(305\) −5.31346 9.20319i −0.304248 0.526973i
\(306\) −7.00217 9.32148i −0.400287 0.532874i
\(307\) 10.7499 18.6193i 0.613527 1.06266i −0.377114 0.926167i \(-0.623084\pi\)
0.990641 0.136493i \(-0.0435831\pi\)
\(308\) 2.76767 0.157703
\(309\) 1.21156 0.404364i 0.0689233 0.0230035i
\(310\) 3.51670 4.31658i 0.199735 0.245165i
\(311\) 0.500059i 0.0283557i −0.999899 0.0141779i \(-0.995487\pi\)
0.999899 0.0141779i \(-0.00451310\pi\)
\(312\) 4.96323 1.65650i 0.280988 0.0937810i
\(313\) −13.0279 7.52167i −0.736381 0.425150i 0.0843707 0.996434i \(-0.473112\pi\)
−0.820752 + 0.571284i \(0.806445\pi\)
\(314\) 1.70330i 0.0961226i
\(315\) 4.04049 9.47892i 0.227656 0.534076i
\(316\) −2.81725 1.62654i −0.158483 0.0915001i
\(317\) 8.13168 + 4.69483i 0.456721 + 0.263688i 0.710664 0.703531i \(-0.248394\pi\)
−0.253944 + 0.967219i \(0.581728\pi\)
\(318\) −7.45317 22.3313i −0.417953 1.25228i
\(319\) 2.90141 + 5.02539i 0.162448 + 0.281368i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −2.46254 + 2.77915i −0.137445 + 0.155117i
\(322\) −0.423181 0.244324i −0.0235829 0.0136156i
\(323\) −5.36270 9.28847i −0.298389 0.516824i
\(324\) −6.23232 6.49294i −0.346240 0.360719i
\(325\) 3.02091i 0.167570i
\(326\) 2.96548i 0.164243i
\(327\) 4.95230 24.2474i 0.273863 1.34089i
\(328\) 0.366287 + 0.634427i 0.0202248 + 0.0350304i
\(329\) 14.5225 + 8.38460i 0.800654 + 0.462258i
\(330\) 1.04460 + 0.925592i 0.0575033 + 0.0509522i
\(331\) 19.1463 11.0541i 1.05238 0.607591i 0.129064 0.991636i \(-0.458803\pi\)
0.923314 + 0.384045i \(0.125469\pi\)
\(332\) 0.934238 + 1.61815i 0.0512730 + 0.0888074i
\(333\) 19.3191 + 25.7181i 1.05868 + 1.40934i
\(334\) 19.9933 + 11.5431i 1.09398 + 0.631612i
\(335\) 0.593829 + 0.342847i 0.0324443 + 0.0187317i
\(336\) 4.45263 + 3.94536i 0.242911 + 0.215237i
\(337\) 1.64170i 0.0894289i −0.999000 0.0447145i \(-0.985762\pi\)
0.999000 0.0447145i \(-0.0142378\pi\)
\(338\) 3.35507 + 1.93705i 0.182492 + 0.105362i
\(339\) 8.39338 + 25.1484i 0.455866 + 1.36587i
\(340\) 3.88616i 0.210757i
\(341\) −2.83373 + 3.47827i −0.153455 + 0.188359i
\(342\) −4.97283 6.61997i −0.268900 0.357967i
\(343\) 7.56576 0.408512
\(344\) 0.410885 0.711673i 0.0221534 0.0383709i
\(345\) −0.0780116 0.233739i −0.00420000 0.0125841i
\(346\) −6.79559 11.7703i −0.365333 0.632776i
\(347\) −4.05019 + 7.01513i −0.217425 + 0.376592i −0.954020 0.299743i \(-0.903099\pi\)
0.736595 + 0.676334i \(0.236433\pi\)
\(348\) −2.49599 + 12.2209i −0.133799 + 0.655107i
\(349\) 10.2078 0.546409 0.273205 0.961956i \(-0.411916\pi\)
0.273205 + 0.961956i \(0.411916\pi\)
\(350\) −2.97455 + 1.71736i −0.158996 + 0.0917966i
\(351\) −1.26707 + 15.6459i −0.0676315 + 0.835115i
\(352\) −0.697837 + 0.402897i −0.0371948 + 0.0214745i
\(353\) 2.18441 3.78351i 0.116265 0.201376i −0.802020 0.597297i \(-0.796241\pi\)
0.918285 + 0.395921i \(0.129575\pi\)
\(354\) −17.3577 15.3802i −0.922549 0.817447i
\(355\) 5.67926 9.83676i 0.301424 0.522081i
\(356\) −7.24740 −0.384111
\(357\) −21.9300 + 7.31924i −1.16066 + 0.387375i
\(358\) −2.80311 1.61838i −0.148149 0.0855339i
\(359\) 5.77578 3.33465i 0.304834 0.175996i −0.339778 0.940506i \(-0.610352\pi\)
0.644612 + 0.764509i \(0.277019\pi\)
\(360\) 0.361105 + 2.97819i 0.0190319 + 0.156964i
\(361\) 5.69149 + 9.85796i 0.299552 + 0.518840i
\(362\) 8.22298 + 14.2426i 0.432190 + 0.748576i
\(363\) 13.4182 + 11.8896i 0.704275 + 0.624040i
\(364\) 10.3760i 0.543848i
\(365\) −0.416684 + 0.721718i −0.0218103 + 0.0377765i
\(366\) −3.68328 + 18.0341i −0.192528 + 0.942657i
\(367\) 12.6325 7.29338i 0.659411 0.380711i −0.132642 0.991164i \(-0.542346\pi\)
0.792053 + 0.610453i \(0.209013\pi\)
\(368\) 0.142267 0.00741619
\(369\) −2.18174 + 0.264536i −0.113577 + 0.0137712i
\(370\) 10.7220i 0.557409i
\(371\) −46.6850 −2.42376
\(372\) −9.51724 + 1.55631i −0.493446 + 0.0806908i
\(373\) −21.3294 −1.10439 −0.552197 0.833714i \(-0.686210\pi\)
−0.552197 + 0.833714i \(0.686210\pi\)
\(374\) 3.13144i 0.161923i
\(375\) −1.69702 0.346599i −0.0876336 0.0178983i
\(376\) −4.88227 −0.251784
\(377\) 18.8401 10.8773i 0.970316 0.560212i
\(378\) −16.1261 + 7.64690i −0.829437 + 0.393314i
\(379\) −15.6454 + 27.0986i −0.803650 + 1.39196i 0.113549 + 0.993532i \(0.463778\pi\)
−0.917199 + 0.398430i \(0.869555\pi\)
\(380\) 2.75989i 0.141580i
\(381\) −11.9620 + 13.5001i −0.612834 + 0.691629i
\(382\) −6.71391 11.6288i −0.343514 0.594983i
\(383\) −11.8065 20.4494i −0.603282 1.04491i −0.992320 0.123693i \(-0.960526\pi\)
0.389039 0.921221i \(-0.372807\pi\)
\(384\) −1.69702 0.346599i −0.0866006 0.0176873i
\(385\) 2.39687 1.38383i 0.122156 0.0705268i
\(386\) −13.4387 7.75886i −0.684013 0.394915i
\(387\) 1.48068 + 1.97112i 0.0752672 + 0.100198i
\(388\) −16.1867 −0.821755
\(389\) −12.7612 + 22.1030i −0.647018 + 1.12067i 0.336814 + 0.941571i \(0.390651\pi\)
−0.983832 + 0.179096i \(0.942683\pi\)
\(390\) 3.47003 3.91619i 0.175712 0.198304i
\(391\) −0.276437 + 0.478802i −0.0139800 + 0.0242141i
\(392\) 4.15456 2.39863i 0.209837 0.121149i
\(393\) 18.6986 21.1028i 0.943220 1.06449i
\(394\) −4.78502 + 2.76263i −0.241066 + 0.139179i
\(395\) −3.25308 −0.163680
\(396\) −0.290976 2.39980i −0.0146221 0.120595i
\(397\) 10.1941 17.6566i 0.511625 0.886161i −0.488284 0.872685i \(-0.662377\pi\)
0.999909 0.0134762i \(-0.00428974\pi\)
\(398\) 7.90400 + 13.6901i 0.396192 + 0.686224i
\(399\) −15.5744 + 5.19801i −0.779693 + 0.260226i
\(400\) 0.500000 0.866025i 0.0250000 0.0433013i
\(401\) −7.15181 −0.357144 −0.178572 0.983927i \(-0.557148\pi\)
−0.178572 + 0.983927i \(0.557148\pi\)
\(402\) −0.375997 1.12657i −0.0187531 0.0561881i
\(403\) 13.0400 + 10.6236i 0.649568 + 0.529201i
\(404\) 3.07118i 0.152797i
\(405\) −8.64381 2.50689i −0.429515 0.124568i
\(406\) 21.4208 + 12.3673i 1.06310 + 0.613780i
\(407\) 8.63969i 0.428254i
\(408\) 4.46393 5.03787i 0.220997 0.249412i
\(409\) −4.97254 2.87090i −0.245876 0.141957i 0.371998 0.928233i \(-0.378673\pi\)
−0.617875 + 0.786277i \(0.712006\pi\)
\(410\) 0.634427 + 0.366287i 0.0313321 + 0.0180896i
\(411\) 10.7056 3.57305i 0.528069 0.176245i
\(412\) 0.368713 + 0.638630i 0.0181652 + 0.0314630i
\(413\) −39.8278 + 22.9946i −1.95980 + 1.13149i
\(414\) −0.167359 + 0.392620i −0.00822522 + 0.0192962i
\(415\) 1.61815 + 0.934238i 0.0794318 + 0.0458599i
\(416\) 1.51045 + 2.61618i 0.0740561 + 0.128269i
\(417\) −27.7008 5.65762i −1.35652 0.277055i
\(418\) 2.22390i 0.108775i
\(419\) 9.62101i 0.470017i 0.971993 + 0.235008i \(0.0755118\pi\)
−0.971993 + 0.235008i \(0.924488\pi\)
\(420\) 5.82877 + 1.19047i 0.284415 + 0.0580889i
\(421\) −17.3075 29.9775i −0.843516 1.46101i −0.886904 0.461955i \(-0.847148\pi\)
0.0433873 0.999058i \(-0.486185\pi\)
\(422\) 15.0004 + 8.66050i 0.730209 + 0.421587i
\(423\) 5.74334 13.4738i 0.279251 0.655118i
\(424\) 11.7711 6.79605i 0.571655 0.330045i
\(425\) 1.94308 + 3.36552i 0.0942533 + 0.163252i
\(426\) −18.6616 + 6.22839i −0.904157 + 0.301767i
\(427\) 31.6103 + 18.2502i 1.52973 + 0.883191i
\(428\) −1.85660 1.07191i −0.0897419 0.0518125i
\(429\) −2.79613 + 3.15564i −0.134998 + 0.152356i
\(430\) 0.821770i 0.0396293i
\(431\) −32.5014 18.7647i −1.56554 0.903864i −0.996679 0.0814300i \(-0.974051\pi\)
−0.568860 0.822434i \(-0.692615\pi\)
\(432\) 2.95284 4.27560i 0.142069 0.205710i
\(433\) 0.00668506i 0.000321263i −1.00000 0.000160632i \(-0.999949\pi\)
1.00000 0.000160632i \(-5.11307e-5\pi\)
\(434\) −3.04750 + 18.8793i −0.146284 + 0.906236i
\(435\) 3.94884 + 11.8316i 0.189332 + 0.567280i
\(436\) 14.2883 0.684284
\(437\) −0.196321 + 0.340038i −0.00939131 + 0.0162662i
\(438\) 1.36919 0.456974i 0.0654225 0.0218351i
\(439\) −10.4394 18.0815i −0.498244 0.862984i 0.501754 0.865010i \(-0.332688\pi\)
−0.999998 + 0.00202667i \(0.999355\pi\)
\(440\) −0.402897 + 0.697837i −0.0192073 + 0.0332681i
\(441\) 1.73232 + 14.2872i 0.0824912 + 0.680341i
\(442\) −11.7397 −0.558403
\(443\) −23.3341 + 13.4719i −1.10864 + 0.640071i −0.938476 0.345345i \(-0.887762\pi\)
−0.170160 + 0.985416i \(0.554429\pi\)
\(444\) −12.3160 + 13.8996i −0.584493 + 0.659644i
\(445\) −6.27643 + 3.62370i −0.297531 + 0.171780i
\(446\) 0.0870923 0.150848i 0.00412394 0.00714288i
\(447\) −3.56596 + 4.02445i −0.168664 + 0.190350i
\(448\) −1.71736 + 2.97455i −0.0811375 + 0.140534i
\(449\) 22.2082 1.04807 0.524035 0.851697i \(-0.324426\pi\)
0.524035 + 0.851697i \(0.324426\pi\)
\(450\) 1.80182 + 2.39863i 0.0849386 + 0.113073i
\(451\) −0.511217 0.295151i −0.0240723 0.0138981i
\(452\) −13.2560 + 7.65337i −0.623511 + 0.359984i
\(453\) −33.6981 6.88249i −1.58327 0.323367i
\(454\) −11.3500 19.6588i −0.532683 0.922633i
\(455\) −5.18798 8.98585i −0.243216 0.421263i
\(456\) 3.17021 3.57782i 0.148459 0.167547i
\(457\) 35.8276i 1.67594i 0.545714 + 0.837972i \(0.316259\pi\)
−0.545714 + 0.837972i \(0.683741\pi\)
\(458\) 2.49600 4.32320i 0.116630 0.202010i
\(459\) 8.65199 + 18.2457i 0.403840 + 0.851635i
\(460\) 0.123207 0.0711336i 0.00574455 0.00331662i
\(461\) 11.0236 0.513419 0.256710 0.966489i \(-0.417362\pi\)
0.256710 + 0.966489i \(0.417362\pi\)
\(462\) −4.69678 0.959271i −0.218514 0.0446293i
\(463\) 6.77239i 0.314740i −0.987540 0.157370i \(-0.949699\pi\)
0.987540 0.157370i \(-0.0503015\pi\)
\(464\) −7.20137 −0.334315
\(465\) −7.46402 + 6.10642i −0.346136 + 0.283179i
\(466\) −2.46821 −0.114338
\(467\) 19.9229i 0.921923i 0.887420 + 0.460962i \(0.152495\pi\)
−0.887420 + 0.460962i \(0.847505\pi\)
\(468\) −8.99684 + 1.09086i −0.415879 + 0.0504252i
\(469\) −2.35516 −0.108751
\(470\) −4.22817 + 2.44113i −0.195031 + 0.112601i
\(471\) −0.590361 + 2.89053i −0.0272024 + 0.133188i
\(472\) 6.69476 11.5957i 0.308151 0.533734i
\(473\) 0.662176i 0.0304469i
\(474\) 4.21717 + 3.73672i 0.193701 + 0.171633i
\(475\) 1.37995 + 2.39014i 0.0633163 + 0.109667i
\(476\) −6.67393 11.5596i −0.305899 0.529833i
\(477\) 4.90817 + 40.4798i 0.224730 + 1.85344i
\(478\) 11.6899 6.74918i 0.534684 0.308700i
\(479\) −10.4505 6.03362i −0.477497 0.275683i 0.241876 0.970307i \(-0.422237\pi\)
−0.719373 + 0.694624i \(0.755571\pi\)
\(480\) −1.64296 + 0.548346i −0.0749905 + 0.0250284i
\(481\) 32.3901 1.47686
\(482\) −3.95464 + 6.84964i −0.180129 + 0.311993i
\(483\) 0.633463 + 0.561295i 0.0288236 + 0.0255398i
\(484\) −5.17535 + 8.96397i −0.235243 + 0.407453i
\(485\) −14.0181 + 8.09335i −0.636528 + 0.367500i
\(486\) 8.32591 + 13.1787i 0.377671 + 0.597800i
\(487\) −25.6391 + 14.8027i −1.16182 + 0.670776i −0.951739 0.306909i \(-0.900705\pi\)
−0.210079 + 0.977684i \(0.567372\pi\)
\(488\) −10.6269 −0.481058
\(489\) −1.02783 + 5.03247i −0.0464802 + 0.227576i
\(490\) 2.39863 4.15456i 0.108359 0.187684i
\(491\) −16.7692 29.0451i −0.756784 1.31079i −0.944482 0.328562i \(-0.893436\pi\)
0.187698 0.982227i \(-0.439897\pi\)
\(492\) −0.401704 1.20359i −0.0181102 0.0542620i
\(493\) 13.9929 24.2363i 0.630207 1.09155i
\(494\) −8.33739 −0.375117
\(495\) −1.45189 1.93280i −0.0652578 0.0868730i
\(496\) −1.97991 5.20384i −0.0889008 0.233659i
\(497\) 39.0133i 1.74998i
\(498\) −1.02457 3.06983i −0.0459121 0.137562i
\(499\) 33.0134 + 19.0603i 1.47788 + 0.853256i 0.999688 0.0249976i \(-0.00795783\pi\)
0.478195 + 0.878254i \(0.341291\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −29.9281 26.5186i −1.33709 1.18476i
\(502\) −16.4910 9.52107i −0.736029 0.424946i
\(503\) 23.7159 + 13.6924i 1.05744 + 0.610513i 0.924723 0.380642i \(-0.124297\pi\)
0.132716 + 0.991154i \(0.457630\pi\)
\(504\) −6.18874 8.23862i −0.275668 0.366978i
\(505\) −1.53559 2.65972i −0.0683329 0.118356i
\(506\) −0.0992793 + 0.0573189i −0.00441350 + 0.00254814i
\(507\) −5.02224 4.45008i −0.223046 0.197635i
\(508\) −9.01862 5.20690i −0.400137 0.231019i
\(509\) −8.81251 15.2637i −0.390608 0.676552i 0.601922 0.798555i \(-0.294402\pi\)
−0.992530 + 0.122002i \(0.961068\pi\)
\(510\) 1.34694 6.59489i 0.0596435 0.292027i
\(511\) 2.86238i 0.126624i
\(512\) 1.00000i 0.0441942i
\(513\) 6.14451 + 12.9578i 0.271287 + 0.572100i
\(514\) −1.79313 3.10579i −0.0790915 0.136991i
\(515\) 0.638630 + 0.368713i 0.0281414 + 0.0162474i
\(516\) −0.943944 + 1.06531i −0.0415548 + 0.0468977i
\(517\) 3.40703 1.96705i 0.149841 0.0865107i
\(518\) 18.4135 + 31.8931i 0.809041 + 1.40130i
\(519\) 7.45267 + 22.3298i 0.327136 + 0.980168i
\(520\) 2.61618 + 1.51045i 0.114727 + 0.0662378i
\(521\) 9.89159 + 5.71091i 0.433359 + 0.250200i 0.700776 0.713381i \(-0.252837\pi\)
−0.267418 + 0.963581i \(0.586170\pi\)
\(522\) 8.47147 19.8739i 0.370786 0.869857i
\(523\) 39.2997i 1.71846i 0.511592 + 0.859229i \(0.329056\pi\)
−0.511592 + 0.859229i \(0.670944\pi\)
\(524\) 14.0976 + 8.13923i 0.615855 + 0.355564i
\(525\) 5.64310 1.88341i 0.246285 0.0821988i
\(526\) 16.7103i 0.728602i
\(527\) 21.3607 + 3.44805i 0.930488 + 0.150199i
\(528\) 1.32389 0.441853i 0.0576147 0.0192292i
\(529\) −22.9798 −0.999120
\(530\) 6.79605 11.7711i 0.295201 0.511304i
\(531\) 24.1255 + 32.1166i 1.04696 + 1.39374i
\(532\) −4.73972 8.20944i −0.205493 0.355924i
\(533\) −1.10652 + 1.91655i −0.0479287 + 0.0830149i
\(534\) 12.2990 + 2.51194i 0.532228 + 0.108702i
\(535\) −2.14381 −0.0926850
\(536\) 0.593829 0.342847i 0.0256495 0.0148087i
\(537\) 4.19600 + 3.71797i 0.181071 + 0.160442i
\(538\) 16.7998 9.69936i 0.724290 0.418169i
\(539\) −1.93280 + 3.34771i −0.0832517 + 0.144196i
\(540\) 0.419435 5.17920i 0.0180496 0.222877i
\(541\) 0.345486 0.598400i 0.0148536 0.0257272i −0.858503 0.512808i \(-0.828605\pi\)
0.873357 + 0.487081i \(0.161938\pi\)
\(542\) −4.62368 −0.198604
\(543\) −9.01807 27.0201i −0.387003 1.15954i
\(544\) 3.36552 + 1.94308i 0.144295 + 0.0833089i
\(545\) 12.3740 7.14414i 0.530044 0.306021i
\(546\) −3.59630 + 17.6082i −0.153907 + 0.753561i
\(547\) −7.88536 13.6578i −0.337153 0.583967i 0.646743 0.762708i \(-0.276131\pi\)
−0.983896 + 0.178741i \(0.942797\pi\)
\(548\) 3.25803 + 5.64307i 0.139176 + 0.241060i
\(549\) 12.5012 29.3275i 0.533537 1.25167i
\(550\) 0.805793i 0.0343591i
\(551\) 9.93751 17.2123i 0.423352 0.733268i
\(552\) −0.241430 0.0493096i −0.0102759 0.00209876i
\(553\) 9.67646 5.58671i 0.411485 0.237571i
\(554\) −23.9855 −1.01905
\(555\) −3.71622 + 18.1954i −0.157745 + 0.772351i
\(556\) 16.3232i 0.692260i
\(557\) −30.0547 −1.27346 −0.636729 0.771088i \(-0.719713\pi\)
−0.636729 + 0.771088i \(0.719713\pi\)
\(558\) 16.6903 + 0.657583i 0.706559 + 0.0278377i
\(559\) 2.48249 0.104998
\(560\) 3.43472i 0.145143i
\(561\) −1.08535 + 5.31412i −0.0458237 + 0.224362i
\(562\) −9.55099 −0.402884
\(563\) −20.8367 + 12.0301i −0.878162 + 0.507007i −0.870052 0.492960i \(-0.835915\pi\)
−0.00811024 + 0.999967i \(0.502582\pi\)
\(564\) 8.28529 + 1.69219i 0.348874 + 0.0712539i
\(565\) −7.65337 + 13.2560i −0.321980 + 0.557685i
\(566\) 12.9772i 0.545473i
\(567\) 30.0167 7.38764i 1.26058 0.310252i
\(568\) −5.67926 9.83676i −0.238296 0.412741i
\(569\) 1.61547 + 2.79807i 0.0677239 + 0.117301i 0.897899 0.440201i \(-0.145093\pi\)
−0.830175 + 0.557503i \(0.811760\pi\)
\(570\) 0.956575 4.68359i 0.0400665 0.196174i
\(571\) 16.0871 9.28786i 0.673222 0.388685i −0.124074 0.992273i \(-0.539596\pi\)
0.797296 + 0.603588i \(0.206263\pi\)
\(572\) −2.10810 1.21711i −0.0881442 0.0508901i
\(573\) 7.36309 + 22.0614i 0.307597 + 0.921627i
\(574\) −2.51618 −0.105023
\(575\) 0.0711336 0.123207i 0.00296648 0.00513809i
\(576\) 2.75974 + 1.17637i 0.114989 + 0.0490153i
\(577\) 11.7194 20.2986i 0.487886 0.845043i −0.512017 0.858975i \(-0.671102\pi\)
0.999903 + 0.0139325i \(0.00443500\pi\)
\(578\) 1.64349 0.948867i 0.0683600 0.0394677i
\(579\) 20.1166 + 17.8248i 0.836016 + 0.740772i
\(580\) −6.23657 + 3.60069i −0.258960 + 0.149510i
\(581\) −6.41768 −0.266250
\(582\) 27.4691 + 5.61029i 1.13863 + 0.232554i
\(583\) −5.47621 + 9.48507i −0.226801 + 0.392831i
\(584\) 0.416684 + 0.721718i 0.0172425 + 0.0298649i
\(585\) −7.24606 + 5.44313i −0.299588 + 0.225046i
\(586\) −8.47522 + 14.6795i −0.350108 + 0.606405i
\(587\) 13.2705 0.547732 0.273866 0.961768i \(-0.411698\pi\)
0.273866 + 0.961768i \(0.411698\pi\)
\(588\) −7.88172 + 2.63056i −0.325037 + 0.108483i
\(589\) 15.1701 + 2.44875i 0.625072 + 0.100899i
\(590\) 13.3895i 0.551238i
\(591\) 9.07779 3.02975i 0.373410 0.124627i
\(592\) −9.28550 5.36099i −0.381632 0.220335i
\(593\) 28.5918i 1.17412i 0.809542 + 0.587062i \(0.199716\pi\)
−0.809542 + 0.587062i \(0.800284\pi\)
\(594\) −0.337978 + 4.17336i −0.0138674 + 0.171235i
\(595\) −11.5596 6.67393i −0.473897 0.273605i
\(596\) −2.68851 1.55221i −0.110126 0.0635810i
\(597\) −8.66824 25.9719i −0.354768 1.06296i
\(598\) 0.214888 + 0.372197i 0.00878743 + 0.0152203i
\(599\) −22.8692 + 13.2035i −0.934410 + 0.539482i −0.888203 0.459450i \(-0.848046\pi\)
−0.0462061 + 0.998932i \(0.514713\pi\)
\(600\) −1.14867 + 1.29636i −0.0468943 + 0.0529237i
\(601\) −32.0608 18.5103i −1.30779 0.755051i −0.326060 0.945349i \(-0.605721\pi\)
−0.981726 + 0.190298i \(0.939055\pi\)
\(602\) 1.41127 + 2.44440i 0.0575192 + 0.0996261i
\(603\) 0.247607 + 2.04213i 0.0100834 + 0.0831618i
\(604\) 19.8572i 0.807979i
\(605\) 10.3507i 0.420816i
\(606\) −1.06447 + 5.21185i −0.0432410 + 0.211717i
\(607\) −1.23539 2.13976i −0.0501429 0.0868500i 0.839865 0.542796i \(-0.182634\pi\)
−0.890007 + 0.455946i \(0.849301\pi\)
\(608\) 2.39014 + 1.37995i 0.0969329 + 0.0559642i
\(609\) −32.0651 28.4120i −1.29934 1.15131i
\(610\) −9.20319 + 5.31346i −0.372626 + 0.215136i
\(611\) −7.37444 12.7729i −0.298338 0.516737i
\(612\) −9.32148 + 7.00217i −0.376799 + 0.283046i
\(613\) −20.7979 12.0077i −0.840021 0.484986i 0.0172504 0.999851i \(-0.494509\pi\)
−0.857271 + 0.514865i \(0.827842\pi\)
\(614\) −18.6193 10.7499i −0.751414 0.433829i
\(615\) −0.949680 0.841487i −0.0382948 0.0339320i
\(616\) 2.76767i 0.111513i
\(617\) −20.4157 11.7870i −0.821903 0.474526i 0.0291690 0.999574i \(-0.490714\pi\)
−0.851072 + 0.525048i \(0.824047\pi\)
\(618\) −0.404364 1.21156i −0.0162659 0.0487362i
\(619\) 4.54430i 0.182651i 0.995821 + 0.0913255i \(0.0291104\pi\)
−0.995821 + 0.0913255i \(0.970890\pi\)
\(620\) −4.31658 3.51670i −0.173358 0.141234i
\(621\) 0.420092 0.608277i 0.0168577 0.0244093i
\(622\) −0.500059 −0.0200505
\(623\) 12.4464 21.5577i 0.498653 0.863693i
\(624\) −1.65650 4.96323i −0.0663132 0.198688i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −7.52167 + 13.0279i −0.300626 + 0.520700i
\(627\) −0.770802 + 3.77400i −0.0307829 + 0.150719i
\(628\) −1.70330 −0.0679690
\(629\) 36.0850 20.8337i 1.43880 0.830693i
\(630\) −9.47892 4.04049i −0.377649 0.160977i
\(631\) −37.2561 + 21.5098i −1.48314 + 0.856293i −0.999817 0.0191471i \(-0.993905\pi\)
−0.483326 + 0.875440i \(0.660572\pi\)
\(632\) −1.62654 + 2.81725i −0.0647003 + 0.112064i
\(633\) −22.4543 19.8962i −0.892477 0.790801i
\(634\) 4.69483 8.13168i 0.186455 0.322950i
\(635\) −10.4138 −0.413259
\(636\) −22.3313 + 7.45317i −0.885492 + 0.295537i
\(637\) 12.5505 + 7.24606i 0.497270 + 0.287099i
\(638\) 5.02539 2.90141i 0.198957 0.114868i
\(639\) 33.8278 4.10161i 1.33821 0.162257i
\(640\) −0.500000 0.866025i −0.0197642 0.0342327i
\(641\) −16.6839 28.8974i −0.658976 1.14138i −0.980881 0.194608i \(-0.937657\pi\)
0.321906 0.946772i \(-0.395677\pi\)
\(642\) 2.77915 + 2.46254i 0.109684 + 0.0971886i
\(643\) 24.1854i 0.953778i −0.878963 0.476889i \(-0.841764\pi\)
0.878963 0.476889i \(-0.158236\pi\)
\(644\) −0.244324 + 0.423181i −0.00962770 + 0.0166757i
\(645\) −0.284824 + 1.39456i −0.0112149 + 0.0549107i
\(646\) −9.28847 + 5.36270i −0.365450 + 0.210993i
\(647\) −23.9342 −0.940952 −0.470476 0.882413i \(-0.655918\pi\)
−0.470476 + 0.882413i \(0.655918\pi\)
\(648\) −6.49294 + 6.23232i −0.255067 + 0.244828i
\(649\) 10.7892i 0.423513i
\(650\) 3.02091 0.118490
\(651\) 11.7152 30.9823i 0.459155 1.21429i
\(652\) −2.96548 −0.116137
\(653\) 21.4538i 0.839554i −0.907627 0.419777i \(-0.862108\pi\)
0.907627 0.419777i \(-0.137892\pi\)
\(654\) −24.2474 4.95230i −0.948150 0.193650i
\(655\) 16.2785 0.636052
\(656\) 0.634427 0.366287i 0.0247702 0.0143011i
\(657\) −2.48193 + 0.300933i −0.0968292 + 0.0117405i
\(658\) 8.38460 14.5225i 0.326866 0.566148i
\(659\) 9.57650i 0.373047i −0.982450 0.186524i \(-0.940278\pi\)
0.982450 0.186524i \(-0.0597221\pi\)
\(660\) 0.925592 1.04460i 0.0360286 0.0406610i
\(661\) −14.2276 24.6429i −0.553390 0.958499i −0.998027 0.0627884i \(-0.980001\pi\)
0.444637 0.895711i \(-0.353333\pi\)
\(662\) −11.0541 19.1463i −0.429632 0.744144i
\(663\) 19.9226 + 4.06898i 0.773728 + 0.158026i
\(664\) 1.61815 0.934238i 0.0627963 0.0362555i
\(665\) −8.20944 4.73972i −0.318349 0.183799i
\(666\) 25.7181 19.3191i 0.996556 0.748599i
\(667\) −1.02452 −0.0396695
\(668\) 11.5431 19.9933i 0.446617 0.773564i
\(669\) −0.200081 + 0.225806i −0.00773558 + 0.00873017i
\(670\) 0.342847 0.593829i 0.0132453 0.0229416i
\(671\) 7.41586 4.28155i 0.286286 0.165287i
\(672\) 3.94536 4.45263i 0.152196 0.171764i
\(673\) −22.2226 + 12.8302i −0.856618 + 0.494569i −0.862878 0.505412i \(-0.831341\pi\)
0.00626006 + 0.999980i \(0.498007\pi\)
\(674\) −1.64170 −0.0632358
\(675\) −2.22636 4.69503i −0.0856925 0.180712i
\(676\) 1.93705 3.35507i 0.0745020 0.129041i
\(677\) 23.9003 + 41.3965i 0.918563 + 1.59100i 0.801599 + 0.597862i \(0.203983\pi\)
0.116964 + 0.993136i \(0.462684\pi\)
\(678\) 25.1484 8.39338i 0.965817 0.322346i
\(679\) 27.7983 48.1481i 1.06680 1.84776i
\(680\) 3.88616 0.149028
\(681\) 12.4475 + 37.2952i 0.476988 + 1.42916i
\(682\) 3.47827 + 2.83373i 0.133190 + 0.108509i
\(683\) 19.5460i 0.747908i −0.927447 0.373954i \(-0.878002\pi\)
0.927447 0.373954i \(-0.121998\pi\)
\(684\) −6.61997 + 4.97283i −0.253121 + 0.190141i
\(685\) 5.64307 + 3.25803i 0.215610 + 0.124483i
\(686\) 7.56576i 0.288862i
\(687\) −5.73417 + 6.47144i −0.218772 + 0.246901i
\(688\) −0.711673 0.410885i −0.0271323 0.0156648i
\(689\) 35.5594 + 20.5302i 1.35471 + 0.782140i
\(690\) −0.233739 + 0.0780116i −0.00889830 + 0.00296985i
\(691\) −18.2356 31.5851i −0.693717 1.20155i −0.970611 0.240652i \(-0.922639\pi\)
0.276895 0.960900i \(-0.410695\pi\)
\(692\) −11.7703 + 6.79559i −0.447440 + 0.258330i
\(693\) 7.63804 + 3.25580i 0.290145 + 0.123678i
\(694\) 7.01513 + 4.05019i 0.266291 + 0.153743i
\(695\) −8.16162 14.1363i −0.309588 0.536222i
\(696\) 12.2209 + 2.49599i 0.463230 + 0.0946101i
\(697\) 2.84690i 0.107834i
\(698\) 10.2078i 0.386370i
\(699\) 4.18860 + 0.855480i 0.158428 + 0.0323572i
\(700\) 1.71736 + 2.97455i 0.0649100 + 0.112427i
\(701\) 31.1895 + 18.0073i 1.17801 + 0.680126i 0.955554 0.294816i \(-0.0952583\pi\)
0.222459 + 0.974942i \(0.428592\pi\)
\(702\) 15.6459 + 1.26707i 0.590516 + 0.0478227i
\(703\) 25.6270 14.7958i 0.966541 0.558033i
\(704\) 0.402897 + 0.697837i 0.0151847 + 0.0263007i
\(705\) 8.02137 2.67717i 0.302102 0.100828i
\(706\) −3.78351 2.18441i −0.142394 0.0822114i
\(707\) 9.13539 + 5.27432i 0.343572 + 0.198361i
\(708\) −15.3802 + 17.3577i −0.578022 + 0.652341i
\(709\) 45.8983i 1.72375i −0.507122 0.861874i \(-0.669291\pi\)
0.507122 0.861874i \(-0.330709\pi\)
\(710\) −9.83676 5.67926i −0.369167 0.213139i
\(711\) −5.86147 7.80295i −0.219822 0.292634i
\(712\) 7.24740i 0.271608i
\(713\) −0.281677 0.740335i −0.0105489 0.0277258i
\(714\) 7.31924 + 21.9300i 0.273916 + 0.820710i
\(715\) −2.43423 −0.0910350
\(716\) −1.61838 + 2.80311i −0.0604816 + 0.104757i
\(717\) −22.1773 + 7.40176i −0.828225 + 0.276424i
\(718\) −3.33465 5.77578i −0.124448 0.215550i
\(719\) 4.43050 7.67386i 0.165230 0.286187i −0.771507 0.636221i \(-0.780497\pi\)
0.936737 + 0.350034i \(0.113830\pi\)
\(720\) 2.97819 0.361105i 0.110991 0.0134576i
\(721\) −2.53285 −0.0943282
\(722\) 9.85796 5.69149i 0.366875 0.211815i
\(723\) 9.08518 10.2533i 0.337881 0.381324i
\(724\) 14.2426 8.22298i 0.529323 0.305605i
\(725\) −3.60069 + 6.23657i −0.133726 + 0.231620i
\(726\) 11.8896 13.4182i 0.441263 0.497998i
\(727\) −4.07367 + 7.05581i −0.151084 + 0.261685i −0.931626 0.363418i \(-0.881610\pi\)
0.780542 + 0.625103i \(0.214943\pi\)
\(728\) −10.3760 −0.384559
\(729\) −9.56148 25.2503i −0.354129 0.935197i
\(730\) 0.721718 + 0.416684i 0.0267120 + 0.0154222i
\(731\) 2.76568 1.59677i 0.102292 0.0590585i
\(732\) 18.0341 + 3.68328i 0.666559 + 0.136138i
\(733\) −8.01155 13.8764i −0.295913 0.512537i 0.679284 0.733876i \(-0.262291\pi\)
−0.975197 + 0.221339i \(0.928957\pi\)
\(734\) −7.29338 12.6325i −0.269203 0.466274i
\(735\) −5.51049 + 6.21899i −0.203257 + 0.229391i
\(736\) 0.142267i 0.00524404i
\(737\) −0.276264 + 0.478503i −0.0101763 + 0.0176259i
\(738\) 0.264536 + 2.18174i 0.00973769 + 0.0803110i
\(739\) 26.4217 15.2546i 0.971938 0.561149i 0.0721115 0.997397i \(-0.477026\pi\)
0.899827 + 0.436248i \(0.143693\pi\)
\(740\) −10.7220 −0.394148
\(741\) 14.1487 + 2.88973i 0.519765 + 0.106157i
\(742\) 46.6850i 1.71386i
\(743\) −1.95284 −0.0716426 −0.0358213 0.999358i \(-0.511405\pi\)
−0.0358213 + 0.999358i \(0.511405\pi\)
\(744\) 1.55631 + 9.51724i 0.0570570 + 0.348919i
\(745\) −3.10442 −0.113737
\(746\) 21.3294i 0.780924i
\(747\) 0.674716 + 5.56467i 0.0246865 + 0.203601i
\(748\) −3.13144 −0.114497
\(749\) 6.37688 3.68169i 0.233006 0.134526i
\(750\) −0.346599 + 1.69702i −0.0126560 + 0.0619663i
\(751\) 20.1487 34.8986i 0.735238 1.27347i −0.219381 0.975639i \(-0.570404\pi\)
0.954619 0.297830i \(-0.0962628\pi\)
\(752\) 4.88227i 0.178038i
\(753\) 24.6855 + 21.8732i 0.899590 + 0.797103i
\(754\) −10.8773 18.8401i −0.396130 0.686117i
\(755\) −9.92861 17.1969i −0.361339 0.625858i
\(756\) 7.64690 + 16.1261i 0.278115 + 0.586501i
\(757\) −41.1044 + 23.7316i −1.49396 + 0.862540i −0.999976 0.00692880i \(-0.997794\pi\)
−0.493987 + 0.869469i \(0.664461\pi\)
\(758\) 27.0986 + 15.6454i 0.984266 + 0.568266i
\(759\) 0.188345 0.0628612i 0.00683651 0.00228172i
\(760\) 2.75989 0.100112
\(761\) −7.70000 + 13.3368i −0.279125 + 0.483458i −0.971167 0.238398i \(-0.923378\pi\)
0.692043 + 0.721856i \(0.256711\pi\)
\(762\) 13.5001 + 11.9620i 0.489055 + 0.433339i
\(763\) −24.5381 + 42.5012i −0.888338 + 1.53865i
\(764\) −11.6288 + 6.71391i −0.420717 + 0.242901i
\(765\) −4.57156 + 10.7248i −0.165285 + 0.387756i
\(766\) −20.4494 + 11.8065i −0.738866 + 0.426585i
\(767\) 40.4485 1.46051
\(768\) −0.346599 + 1.69702i −0.0125068 + 0.0612359i
\(769\) −3.29403 + 5.70542i −0.118786 + 0.205743i −0.919287 0.393589i \(-0.871233\pi\)
0.800501 + 0.599331i \(0.204567\pi\)
\(770\) −1.38383 2.39687i −0.0498699 0.0863773i
\(771\) 1.96651 + 5.89208i 0.0708221 + 0.212198i
\(772\) −7.75886 + 13.4387i −0.279247 + 0.483671i
\(773\) 24.5515 0.883057 0.441529 0.897247i \(-0.354436\pi\)
0.441529 + 0.897247i \(0.354436\pi\)
\(774\) 1.97112 1.48068i 0.0708506 0.0532220i
\(775\) −5.49661 0.887263i