Properties

Label 930.2.o.e.161.8
Level $930$
Weight $2$
Character 930.161
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 161.8
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.18

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(1.29636 + 1.14867i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.14867 - 1.29636i) q^{6} +(1.71736 + 2.97455i) q^{7} +1.00000i q^{8} +(0.361105 + 2.97819i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(1.29636 + 1.14867i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.14867 - 1.29636i) q^{6} +(1.71736 + 2.97455i) q^{7} +1.00000i q^{8} +(0.361105 + 2.97819i) q^{9} +(0.500000 - 0.866025i) q^{10} +(0.402897 - 0.697837i) q^{11} +(-1.29636 - 1.14867i) 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} +(2.97819 - 0.361105i) q^{18} +(-1.37995 - 2.39014i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(-1.19047 + 5.82877i) q^{21} +(-0.697837 - 0.402897i) q^{22} -0.142267 q^{23} +(-1.14867 + 1.29636i) 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} +(-0.361105 - 2.97819i) 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} +(5.82877 + 1.19047i) q^{42} +(-0.711673 + 0.410885i) q^{43} +(-0.402897 + 0.697837i) q^{44} +(-1.17637 + 2.75974i) q^{45} +0.142267i q^{46} +4.88227i q^{47} +(1.29636 + 1.14867i) q^{48} +(-2.39863 + 4.15456i) q^{49} +(0.866025 - 0.500000i) q^{50} +(-1.34694 + 6.59489i) 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} +(0.956575 - 4.68359i) 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} +(-0.184430 - 0.163418i) q^{69} +3.43472 q^{70} +(9.83676 + 5.67926i) q^{71} +(-2.97819 + 0.361105i) q^{72} +(0.721718 + 0.416684i) q^{73} +(5.36099 + 9.28550i) q^{74} +(-0.346599 + 1.69702i) 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} +(-8.73921 + 2.15088i) q^{81} +(-0.366287 + 0.634427i) q^{82} +(0.934238 - 1.61815i) q^{83} +(1.19047 - 5.82877i) q^{84} +3.88616i q^{85} +(0.410885 + 0.711673i) q^{86} +(9.33558 + 8.27202i) q^{87} +(0.697837 + 0.402897i) q^{88} -7.24740 q^{89} +(2.75974 + 1.17637i) q^{90} -10.3760i q^{91} +0.142267 q^{92} +(-8.54419 + 4.47178i) q^{93} +4.88227 q^{94} -2.75989i q^{95} +(1.14867 - 1.29636i) q^{96} +16.1867 q^{97} +(4.15456 + 2.39863i) q^{98} +(2.22378 + 0.947909i) 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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) 1.29636 + 1.14867i 0.748454 + 0.663186i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.14867 1.29636i 0.468943 0.529237i
\(7\) 1.71736 + 2.97455i 0.649100 + 1.12427i 0.983338 + 0.181786i \(0.0581877\pi\)
−0.334238 + 0.942489i \(0.608479\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.361105 + 2.97819i 0.120368 + 0.992729i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 0.402897 0.697837i 0.121478 0.210406i −0.798873 0.601500i \(-0.794570\pi\)
0.920351 + 0.391094i \(0.127903\pi\)
\(12\) −1.29636 1.14867i −0.374227 0.331593i
\(13\) −2.61618 1.51045i −0.725599 0.418925i 0.0912110 0.995832i \(-0.470926\pi\)
−0.816810 + 0.576907i \(0.804260\pi\)
\(14\) 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 \(-0.0104637\pi\)
−0.528193 + 0.849124i \(0.677130\pi\)
\(18\) 2.97819 0.361105i 0.701966 0.0851132i
\(19\) −1.37995 2.39014i −0.316581 0.548335i 0.663191 0.748450i \(-0.269202\pi\)
−0.979772 + 0.200115i \(0.935868\pi\)
\(20\) −0.866025 0.500000i −0.193649 0.111803i
\(21\) −1.19047 + 5.82877i −0.259781 + 1.27194i
\(22\) −0.697837 0.402897i −0.148779 0.0858978i
\(23\) −0.142267 −0.0296648 −0.0148324 0.999890i \(-0.504721\pi\)
−0.0148324 + 0.999890i \(0.504721\pi\)
\(24\) −1.14867 + 1.29636i −0.234472 + 0.264619i
\(25\) 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 \(-0.266881\pi\)
0.668631 + 0.743595i \(0.266881\pi\)
\(30\) 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
\(36\) −0.361105 2.97819i −0.0601841 0.496365i
\(37\) −9.28550 + 5.36099i −1.52653 + 0.881341i −0.527024 + 0.849851i \(0.676692\pi\)
−0.999504 + 0.0314905i \(0.989975\pi\)
\(38\) −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 \(-0.351552\pi\)
−0.548722 + 0.836005i \(0.684885\pi\)
\(42\) 5.82877 + 1.19047i 0.899399 + 0.183693i
\(43\) −0.711673 + 0.410885i −0.108529 + 0.0626594i −0.553282 0.832994i \(-0.686625\pi\)
0.444753 + 0.895653i \(0.353291\pi\)
\(44\) −0.402897 + 0.697837i −0.0607389 + 0.105203i
\(45\) −1.17637 + 2.75974i −0.175363 + 0.411398i
\(46\) 0.142267i 0.0209761i
\(47\) 4.88227i 0.712152i 0.934457 + 0.356076i \(0.115886\pi\)
−0.934457 + 0.356076i \(0.884114\pi\)
\(48\) 1.29636 + 1.14867i 0.187114 + 0.165797i
\(49\) −2.39863 + 4.15456i −0.342662 + 0.593508i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) −1.34694 + 6.59489i −0.188609 + 0.923469i
\(52\) 2.61618 + 1.51045i 0.362799 + 0.209462i
\(53\) 6.79605 11.7711i 0.933509 1.61688i 0.156237 0.987720i \(-0.450064\pi\)
0.777272 0.629165i \(-0.216603\pi\)
\(54\) 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
\(57\) 0.956575 4.68359i 0.126701 0.620356i
\(58\) 7.20137i 0.945587i
\(59\) 11.5957 6.69476i 1.50963 0.871584i 0.509690 0.860358i \(-0.329760\pi\)
0.999937 0.0112259i \(-0.00357339\pi\)
\(60\) −0.548346 1.64296i −0.0707911 0.212105i
\(61\) 10.6269i 1.36064i −0.732916 0.680319i \(-0.761841\pi\)
0.732916 0.680319i \(-0.238159\pi\)
\(62\) 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 −0.886208 0.463287i \(-0.846670\pi\)
0.844323 + 0.535835i \(0.180003\pi\)
\(68\) −1.94308 3.36552i −0.235633 0.408129i
\(69\) −0.184430 0.163418i −0.0222027 0.0196733i
\(70\) 3.43472 0.410527
\(71\) 9.83676 + 5.67926i 1.16741 + 0.674004i 0.953068 0.302755i \(-0.0979065\pi\)
0.214340 + 0.976759i \(0.431240\pi\)
\(72\) −2.97819 + 0.361105i −0.350983 + 0.0425566i
\(73\) 0.721718 + 0.416684i 0.0844707 + 0.0487692i 0.541640 0.840610i \(-0.317803\pi\)
−0.457170 + 0.889380i \(0.651137\pi\)
\(74\) 5.36099 + 9.28550i 0.623202 + 1.07942i
\(75\) −0.346599 + 1.69702i −0.0400218 + 0.195955i
\(76\) 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 −0.333074 0.942901i \(-0.608086\pi\)
0.650039 + 0.759901i \(0.274752\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −8.73921 + 2.15088i −0.971023 + 0.238986i
\(82\) −0.366287 + 0.634427i −0.0404496 + 0.0700608i
\(83\) 0.934238 1.61815i 0.102546 0.177615i −0.810187 0.586172i \(-0.800634\pi\)
0.912733 + 0.408557i \(0.133968\pi\)
\(84\) 1.19047 5.82877i 0.129891 0.635971i
\(85\) 3.88616i 0.421514i
\(86\) 0.410885 + 0.711673i 0.0443069 + 0.0767417i
\(87\) 9.33558 + 8.27202i 1.00088 + 0.886853i
\(88\) 0.697837 + 0.402897i 0.0743897 + 0.0429489i
\(89\) −7.24740 −0.768222 −0.384111 0.923287i \(-0.625492\pi\)
−0.384111 + 0.923287i \(0.625492\pi\)
\(90\) 2.75974 + 1.17637i 0.290902 + 0.124000i
\(91\) 10.3760i 1.08770i
\(92\) 0.142267 0.0148324
\(93\) −8.54419 + 4.47178i −0.885991 + 0.463702i
\(94\) 4.88227 0.503567
\(95\) 2.75989i 0.283159i
\(96\) 1.14867 1.29636i 0.117236 0.132309i
\(97\) 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
\(99\) 2.22378 + 0.947909i 0.223498 + 0.0952685i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 3.07118i 0.305594i 0.988258 + 0.152797i \(0.0488281\pi\)
−0.988258 + 0.152797i \(0.951172\pi\)
\(102\) 6.59489 + 1.34694i 0.652991 + 0.133367i
\(103\) −0.368713 + 0.638630i −0.0363304 + 0.0629261i −0.883619 0.468207i \(-0.844900\pi\)
0.847288 + 0.531133i \(0.178234\pi\)
\(104\) 1.51045 2.61618i 0.148112 0.256538i
\(105\) −3.94536 + 4.45263i −0.385028 + 0.434532i
\(106\) −11.7711 6.79605i −1.14331 0.660090i
\(107\) −1.85660 + 1.07191i −0.179484 + 0.103625i −0.587050 0.809551i \(-0.699711\pi\)
0.407566 + 0.913176i \(0.366378\pi\)
\(108\) 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
\(111\) −18.1954 3.71622i −1.72703 0.352728i
\(112\) 1.71736 + 2.97455i 0.162275 + 0.281069i
\(113\) −13.2560 7.65337i −1.24702 0.719968i −0.276508 0.961012i \(-0.589177\pi\)
−0.970514 + 0.241043i \(0.922510\pi\)
\(114\) −4.68359 0.956575i −0.438658 0.0895915i
\(115\) −0.123207 0.0711336i −0.0114891 0.00663324i
\(116\) −7.20137 −0.668631
\(117\) 3.55370 8.33692i 0.328540 0.770749i
\(118\) −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 −0.0432935 0.999062i \(-0.513785\pi\)
0.843567 + 0.537024i \(0.180452\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −1.39456 0.284824i −0.122784 0.0250774i
\(130\) −2.61618 + 1.51045i −0.229455 + 0.132476i
\(131\) 14.0976 8.13923i 1.23171 0.711128i 0.264323 0.964434i \(-0.414852\pi\)
0.967386 + 0.253307i \(0.0815182\pi\)
\(132\) −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
\(135\) −4.69503 + 2.22636i −0.404084 + 0.191614i
\(136\) −3.36552 + 1.94308i −0.288591 + 0.166618i
\(137\) 3.25803 5.64307i 0.278352 0.482120i −0.692623 0.721299i \(-0.743545\pi\)
0.970975 + 0.239180i \(0.0768785\pi\)
\(138\) −0.163418 + 0.184430i −0.0139111 + 0.0156997i
\(139\) 16.3232i 1.38452i −0.721648 0.692260i \(-0.756615\pi\)
0.721648 0.692260i \(-0.243385\pi\)
\(140\) 3.43472i 0.290286i
\(141\) −5.60812 + 6.32918i −0.472289 + 0.533013i
\(142\) 5.67926 9.83676i 0.476593 0.825483i
\(143\) −2.10810 + 1.21711i −0.176288 + 0.101780i
\(144\) 0.361105 + 2.97819i 0.0300921 + 0.248182i
\(145\) 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 \(-0.707253\pi\)
0.385815 + 0.922576i \(0.373920\pi\)
\(150\) 1.69702 + 0.346599i 0.138561 + 0.0282997i
\(151\) 19.8572i 1.61596i −0.589212 0.807979i \(-0.700562\pi\)
0.589212 0.807979i \(-0.299438\pi\)
\(152\) 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
\(162\) 2.15088 + 8.73921i 0.168989 + 0.686617i
\(163\) 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
\(165\) 1.36745 + 0.279287i 0.106455 + 0.0217424i
\(166\) −1.61815 0.934238i −0.125593 0.0725109i
\(167\) 11.5431 + 19.9933i 0.893235 + 1.54713i 0.835974 + 0.548768i \(0.184903\pi\)
0.0572603 + 0.998359i \(0.481764\pi\)
\(168\) −5.82877 1.19047i −0.449700 0.0918466i
\(169\) −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 \(-0.506158\pi\)
−0.875536 + 0.483154i \(0.839491\pi\)
\(174\) 8.27202 9.33558i 0.627100 0.707729i
\(175\) −1.71736 + 2.97455i −0.129820 + 0.224855i
\(176\) 0.402897 0.697837i 0.0303695 0.0526015i
\(177\) 22.7223 + 4.64079i 1.70791 + 0.348823i
\(178\) 7.24740i 0.543215i
\(179\) −1.61838 2.80311i −0.120963 0.209514i 0.799185 0.601086i \(-0.205265\pi\)
−0.920148 + 0.391571i \(0.871932\pi\)
\(180\) 1.17637 2.75974i 0.0876813 0.205699i
\(181\) −14.2426 8.22298i −1.05865 0.611209i −0.133588 0.991037i \(-0.542650\pi\)
−0.925057 + 0.379827i \(0.875983\pi\)
\(182\) −10.3760 −0.769118
\(183\) 12.2069 13.7763i 0.902357 1.01838i
\(184\) 0.142267i 0.0104881i
\(185\) −10.7220 −0.788295
\(186\) 4.47178 + 8.54419i 0.327887 + 0.626490i
\(187\) 3.13144 0.228994
\(188\) 4.88227i 0.356076i
\(189\) −17.7891 1.44064i −1.29396 0.104791i
\(190\) −2.75989 −0.200224
\(191\) −11.6288 6.71391i −0.841433 0.485802i 0.0163179 0.999867i \(-0.494806\pi\)
−0.857751 + 0.514065i \(0.828139\pi\)
\(192\) −1.29636 1.14867i −0.0935568 0.0828983i
\(193\) 7.75886 + 13.4387i 0.558495 + 0.967341i 0.997622 + 0.0689165i \(0.0219542\pi\)
−0.439128 + 0.898425i \(0.644712\pi\)
\(194\) 16.1867i 1.16214i
\(195\) 1.04704 5.12654i 0.0749803 0.367119i
\(196\) 2.39863 4.15456i 0.171331 0.296754i
\(197\) 2.76263 4.78502i 0.196829 0.340918i −0.750669 0.660678i \(-0.770269\pi\)
0.947499 + 0.319760i \(0.103602\pi\)
\(198\) 0.947909 2.22378i 0.0673650 0.158037i
\(199\) −13.6901 7.90400i −0.970467 0.560299i −0.0710885 0.997470i \(-0.522647\pi\)
−0.899379 + 0.437171i \(0.855981\pi\)
\(200\) −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
\(204\) 1.34694 6.59489i 0.0943046 0.461735i
\(205\) −0.366287 0.634427i −0.0255826 0.0443103i
\(206\) 0.638630 + 0.368713i 0.0444954 + 0.0256895i
\(207\) −0.0513733 0.423698i −0.00357069 0.0294491i
\(208\) −2.61618 1.51045i −0.181400 0.104731i
\(209\) −2.22390 −0.153831
\(210\) 4.45263 + 3.94536i 0.307261 + 0.272256i
\(211\) −8.66050 15.0004i −0.596214 1.03267i −0.993374 0.114923i \(-0.963338\pi\)
0.397161 0.917749i \(-0.369996\pi\)
\(212\) −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
\(222\) −3.71622 + 18.1954i −0.249417 + 1.22119i
\(223\) 0.150848 0.0870923i 0.0101016 0.00583213i −0.494941 0.868927i \(-0.664810\pi\)
0.505042 + 0.863095i \(0.331477\pi\)
\(224\) 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 \(-0.604886\pi\)
−0.981223 + 0.192875i \(0.938219\pi\)
\(228\) −0.956575 + 4.68359i −0.0633507 + 0.310178i
\(229\) 4.32320 2.49600i 0.285685 0.164940i −0.350309 0.936634i \(-0.613924\pi\)
0.635994 + 0.771694i \(0.280590\pi\)
\(230\) −0.0711336 + 0.123207i −0.00469041 + 0.00812403i
\(231\) 3.58790 + 3.17914i 0.236066 + 0.209172i
\(232\) 7.20137i 0.472793i
\(233\) 2.46821i 0.161698i −0.996726 0.0808491i \(-0.974237\pi\)
0.996726 0.0808491i \(-0.0257632\pi\)
\(234\) −8.33692 3.55370i −0.545002 0.232313i
\(235\) −2.44113 + 4.22817i −0.159242 + 0.275815i
\(236\) −11.5957 + 6.69476i −0.754814 + 0.435792i
\(237\) 5.52054 + 1.12751i 0.358597 + 0.0732399i
\(238\) 11.5596 + 6.67393i 0.749297 + 0.432607i
\(239\) −6.74918 + 11.6899i −0.436568 + 0.756158i −0.997422 0.0717566i \(-0.977140\pi\)
0.560854 + 0.827915i \(0.310473\pi\)
\(240\) 0.548346 + 1.64296i 0.0353956 + 0.106053i
\(241\) −6.84964 + 3.95464i −0.441224 + 0.254741i −0.704117 0.710084i \(-0.748657\pi\)
0.262892 + 0.964825i \(0.415324\pi\)
\(242\) 8.96397 5.17535i 0.576226 0.332684i
\(243\) −13.7998 7.25017i −0.885259 0.465099i
\(244\) 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 −0.992675 0.120813i \(-0.961450\pi\)
0.391711 0.920089i \(-0.371883\pi\)
\(252\) 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
\(255\) −4.46393 + 5.03787i −0.279542 + 0.315484i
\(256\) 1.00000 0.0625000
\(257\) −3.10579 1.79313i −0.193734 0.111852i 0.399995 0.916517i \(-0.369012\pi\)
−0.593729 + 0.804665i \(0.702345\pi\)
\(258\) −0.284824 + 1.39456i −0.0177324 + 0.0868214i
\(259\) −31.8931 18.4135i −1.98174 1.14416i
\(260\) 1.51045 + 2.61618i 0.0936744 + 0.162249i
\(261\) 2.60045 + 21.4470i 0.160964 + 1.32754i
\(262\) −8.13923 14.0976i −0.502843 0.870950i
\(263\) 16.7103 1.03040 0.515200 0.857070i \(-0.327718\pi\)
0.515200 + 0.857070i \(0.327718\pi\)
\(264\) 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
\(267\) −9.39524 8.32488i −0.574979 0.509474i
\(268\) 0.342847 0.593829i 0.0209427 0.0362739i
\(269\) −9.69936 + 16.7998i −0.591381 + 1.02430i 0.402666 + 0.915347i \(0.368084\pi\)
−0.994047 + 0.108954i \(0.965250\pi\)
\(270\) 2.22636 + 4.69503i 0.135492 + 0.285731i
\(271\) 4.62368i 0.280869i 0.990090 + 0.140434i \(0.0448499\pi\)
−0.990090 + 0.140434i \(0.955150\pi\)
\(272\) 1.94308 + 3.36552i 0.117817 + 0.204064i
\(273\) 11.9186 13.4510i 0.721345 0.814091i
\(274\) −5.64307 3.25803i −0.340910 0.196825i
\(275\) 0.805793 0.0485911
\(276\) 0.184430 + 0.163418i 0.0111014 + 0.00983663i
\(277\) 23.9855i 1.44115i 0.693377 + 0.720575i \(0.256122\pi\)
−0.693377 + 0.720575i \(0.743878\pi\)
\(278\) −16.3232 −0.979003
\(279\) −16.2130 4.01743i −0.970645 0.240517i
\(280\) −3.43472 −0.205263
\(281\) 9.55099i 0.569764i −0.958563 0.284882i \(-0.908046\pi\)
0.958563 0.284882i \(-0.0919544\pi\)
\(282\) 6.32918 + 5.60812i 0.376897 + 0.333959i
\(283\) 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
\(285\) 3.17021 3.57782i 0.187787 0.211932i
\(286\) 1.21711 + 2.10810i 0.0719695 + 0.124655i
\(287\) 2.51618i 0.148525i
\(288\) 2.97819 0.361105i 0.175491 0.0212783i
\(289\) 0.948867 1.64349i 0.0558157 0.0966757i
\(290\) 3.60069 6.23657i 0.211440 0.366224i
\(291\) 20.9838 + 18.5932i 1.23009 + 1.08995i
\(292\) −0.721718 0.416684i −0.0422354 0.0243846i
\(293\) 14.6795 8.47522i 0.857586 0.495128i −0.00561696 0.999984i \(-0.501788\pi\)
0.863203 + 0.504857i \(0.168455\pi\)
\(294\) 2.63056 + 7.88172i 0.153417 + 0.459671i
\(295\) 13.3895 0.779568
\(296\) −5.36099 9.28550i −0.311601 0.539709i
\(297\) 1.79398 + 3.78322i 0.104097 + 0.219525i
\(298\) 1.55221 + 2.68851i 0.0899171 + 0.155741i
\(299\) 0.372197 + 0.214888i 0.0215247 + 0.0124273i
\(300\) 0.346599 1.69702i 0.0200109 0.0979774i
\(301\) −2.44440 1.41127i −0.140893 0.0813444i
\(302\) −19.8572 −1.14265
\(303\) −3.52778 + 3.98136i −0.202666 + 0.228723i
\(304\) −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 0.990641 + 0.136493i \(0.0435831\pi\)
−0.377114 + 0.926167i \(0.623084\pi\)
\(308\) −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 −0.820752 0.571284i \(-0.806445\pi\)
0.0843707 + 0.996434i \(0.473112\pi\)
\(314\) 1.70330i 0.0961226i
\(315\) −10.2292 + 1.24029i −0.576352 + 0.0698825i
\(316\) −2.81725 + 1.62654i −0.158483 + 0.0915001i
\(317\) −8.13168 + 4.69483i −0.456721 + 0.263688i −0.710664 0.703531i \(-0.751606\pi\)
0.253944 + 0.967219i \(0.418272\pi\)
\(318\) −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
\(321\) −3.63809 0.743042i −0.203058 0.0414726i
\(322\) −0.423181 + 0.244324i −0.0235829 + 0.0136156i
\(323\) 5.36270 9.28847i 0.298389 0.516824i
\(324\) 8.73921 2.15088i 0.485511 0.119493i
\(325\) 3.02091i 0.167570i
\(326\) 2.96548i 0.164243i
\(327\) −18.5228 16.4125i −1.02431 0.907615i
\(328\) 0.366287 0.634427i 0.0202248 0.0350304i
\(329\) −14.5225 + 8.38460i −0.800654 + 0.462258i
\(330\) 0.279287 1.36745i 0.0153742 0.0752754i
\(331\) 19.1463 + 11.0541i 1.05238 + 0.607591i 0.923314 0.384045i \(-0.125469\pi\)
0.129064 + 0.991636i \(0.458803\pi\)
\(332\) −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
\(336\) −1.19047 + 5.82877i −0.0649453 + 0.317986i
\(337\) 1.64170i 0.0894289i 0.999000 + 0.0447145i \(0.0142378\pi\)
−0.999000 + 0.0447145i \(0.985762\pi\)
\(338\) −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 \(-0.0969008\pi\)
−0.736595 + 0.676334i \(0.763567\pi\)
\(348\) −9.33558 8.27202i −0.500440 0.443427i
\(349\) 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
\(351\) 14.1833 6.72562i 0.757047 0.358987i
\(352\) −0.697837 0.402897i −0.0371948 0.0214745i
\(353\) −2.18441 3.78351i −0.116265 0.201376i 0.802020 0.597297i \(-0.203759\pi\)
−0.918285 + 0.395921i \(0.870425\pi\)
\(354\) 4.64079 22.7223i 0.246655 1.20767i
\(355\) 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 \(-0.389648\pi\)
−0.644612 + 0.764509i \(0.722981\pi\)
\(360\) −2.75974 1.17637i −0.145451 0.0620000i
\(361\) 5.69149 9.85796i 0.299552 0.518840i
\(362\) −8.22298 + 14.2426i −0.432190 + 0.748576i
\(363\) −3.58754 + 17.5653i −0.188297 + 0.921940i
\(364\) 10.3760i 0.543848i
\(365\) 0.416684 + 0.721718i 0.0218103 + 0.0377765i
\(366\) −13.7763 12.2069i −0.720100 0.638062i
\(367\) 12.6325 + 7.29338i 0.659411 + 0.380711i 0.792053 0.610453i \(-0.209013\pi\)
−0.132642 + 0.991164i \(0.542346\pi\)
\(368\) −0.142267 −0.00741619
\(369\) 0.861776 2.02171i 0.0448623 0.105246i
\(370\) 10.7220i 0.557409i
\(371\) 46.6850 2.42376
\(372\) 8.54419 4.47178i 0.442996 0.231851i
\(373\) −21.3294 −1.10439 −0.552197 0.833714i \(-0.686210\pi\)
−0.552197 + 0.833714i \(0.686210\pi\)
\(374\) 3.13144i 0.161923i
\(375\) −1.14867 + 1.29636i −0.0593172 + 0.0669438i
\(376\) −4.88227 −0.251784
\(377\) −18.8401 10.8773i −0.970316 0.560212i
\(378\) −1.44064 + 17.7891i −0.0740985 + 0.914971i
\(379\) −15.6454 27.0986i −0.803650 1.39196i −0.917199 0.398430i \(-0.869555\pi\)
0.113549 0.993532i \(-0.463778\pi\)
\(380\) 2.75989i 0.141580i
\(381\) 17.6724 + 3.60941i 0.905385 + 0.184916i
\(382\) −6.71391 + 11.6288i −0.343514 + 0.594983i
\(383\) 11.8065 20.4494i 0.603282 1.04491i −0.389039 0.921221i \(-0.627193\pi\)
0.992320 0.123693i \(-0.0394739\pi\)
\(384\) −1.14867 + 1.29636i −0.0586179 + 0.0661547i
\(385\) 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 0.983832 + 0.179096i \(0.0573173\pi\)
−0.336814 + 0.941571i \(0.609349\pi\)
\(390\) −5.12654 1.04704i −0.259592 0.0530191i
\(391\) −0.276437 0.478802i −0.0139800 0.0242141i
\(392\) −4.15456 2.39863i −0.209837 0.121149i
\(393\) 27.6248 + 5.64209i 1.39349 + 0.284606i
\(394\) −4.78502 2.76263i −0.241066 0.139179i
\(395\) 3.25308 0.163680
\(396\) −2.22378 0.947909i −0.111749 0.0476342i
\(397\) 10.1941 + 17.6566i 0.511625 + 0.886161i 0.999909 + 0.0134762i \(0.00428974\pi\)
−0.488284 + 0.872685i \(0.662377\pi\)
\(398\) −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 \(-0.442852\pi\)
0.178572 + 0.983927i \(0.442852\pi\)
\(402\) 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
\(408\) −6.59489 1.34694i −0.326496 0.0666834i
\(409\) −4.97254 + 2.87090i −0.245876 + 0.141957i −0.617875 0.786277i \(-0.712006\pi\)
0.371998 + 0.928233i \(0.378673\pi\)
\(410\) −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
\(414\) −0.423698 + 0.0513733i −0.0208236 + 0.00252486i
\(415\) 1.61815 0.934238i 0.0794318 0.0458599i
\(416\) −1.51045 + 2.61618i −0.0740561 + 0.128269i
\(417\) 18.7501 21.1608i 0.918194 1.03625i
\(418\) 2.22390i 0.108775i
\(419\) 9.62101i 0.470017i 0.971993 + 0.235008i \(0.0755118\pi\)
−0.971993 + 0.235008i \(0.924488\pi\)
\(420\) 3.94536 4.45263i 0.192514 0.217266i
\(421\) −17.3075 + 29.9775i −0.843516 + 1.46101i 0.0433873 + 0.999058i \(0.486185\pi\)
−0.886904 + 0.461955i \(0.847148\pi\)
\(422\) −15.0004 + 8.66050i −0.730209 + 0.421587i
\(423\) −14.5403 + 1.76301i −0.706974 + 0.0857204i
\(424\) 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
\(429\) −4.13093 0.843700i −0.199443 0.0407342i
\(430\) 0.821770i 0.0396293i
\(431\) 32.5014 18.7647i 1.56554 0.903864i 0.568860 0.822434i \(-0.307385\pi\)
0.996679 0.0814300i \(-0.0259487\pi\)
\(432\) −2.95284 + 4.27560i −0.142069 + 0.205710i
\(433\) 0.00668506i 0.000321263i 1.00000 0.000160632i \(5.11307e-5\pi\)
−1.00000 0.000160632i \(0.999949\pi\)
\(434\) 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 −0.999998 0.00202667i \(-0.999355\pi\)
0.501754 + 0.865010i \(0.332688\pi\)
\(440\) 0.402897 + 0.697837i 0.0192073 + 0.0332681i
\(441\) −13.2392 5.64335i −0.630438 0.268731i
\(442\) −11.7397 −0.558403
\(443\) 23.3341 + 13.4719i 1.10864 + 0.640071i 0.938476 0.345345i \(-0.112238\pi\)
0.170160 + 0.985416i \(0.445571\pi\)
\(444\) 18.1954 + 3.71622i 0.863515 + 0.176364i
\(445\) −6.27643 3.62370i −0.297531 0.171780i
\(446\) −0.0870923 0.150848i −0.00412394 0.00714288i
\(447\) −5.26826 1.07599i −0.249180 0.0508925i
\(448\) −1.71736 2.97455i −0.0811375 0.140534i
\(449\) −22.2082 −1.04807 −0.524035 0.851697i \(-0.675574\pi\)
−0.524035 + 0.851697i \(0.675574\pi\)
\(450\) 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
\(453\) 22.8094 25.7421i 1.07168 1.20947i
\(454\) −11.3500 + 19.6588i −0.532683 + 0.922633i
\(455\) 5.18798 8.98585i 0.243216 0.421263i
\(456\) 4.68359 + 0.956575i 0.219329 + 0.0447957i
\(457\) 35.8276i 1.67594i −0.545714 0.837972i \(-0.683741\pi\)
0.545714 0.837972i \(-0.316259\pi\)
\(458\) −2.49600 4.32320i −0.116630 0.202010i
\(459\) −20.1272 1.62999i −0.939457 0.0760815i
\(460\) 0.123207 + 0.0711336i 0.00574455 + 0.00331662i
\(461\) −11.0236 −0.513419 −0.256710 0.966489i \(-0.582638\pi\)
−0.256710 + 0.966489i \(0.582638\pi\)
\(462\) 3.17914 3.58790i 0.147907 0.166924i
\(463\) 6.77239i 0.314740i 0.987540 + 0.157370i \(0.0503015\pi\)
−0.987540 + 0.157370i \(0.949699\pi\)
\(464\) 7.20137 0.334315
\(465\) −9.63538 0.399418i −0.446830 0.0185226i
\(466\) −2.46821 −0.114338
\(467\) 19.9229i 0.921923i 0.887420 + 0.460962i \(0.152495\pi\)
−0.887420 + 0.460962i \(0.847505\pi\)
\(468\) −3.55370 + 8.33692i −0.164270 + 0.385374i
\(469\) −2.35516 −0.108751
\(470\) 4.22817 + 2.44113i 0.195031 + 0.112601i
\(471\) 2.20809 + 1.95653i 0.101743 + 0.0901522i
\(472\) 6.69476 + 11.5957i 0.308151 + 0.533734i
\(473\) 0.662176i 0.0304469i
\(474\) 1.12751 5.52054i 0.0517884 0.253567i
\(475\) 1.37995 2.39014i 0.0633163 0.109667i
\(476\) 6.67393 11.5596i 0.305899 0.529833i
\(477\) 37.5106 + 15.9893i 1.71749 + 0.732100i
\(478\) 11.6899 + 6.74918i 0.534684 + 0.308700i
\(479\) 10.4505 6.03362i 0.477497 0.275683i −0.241876 0.970307i \(-0.577763\pi\)
0.719373 + 0.694624i \(0.244429\pi\)
\(480\) 1.64296 0.548346i 0.0749905 0.0250284i
\(481\) 32.3901 1.47686
\(482\) 3.95464 + 6.84964i 0.180129 + 0.311993i
\(483\) 0.169364 0.829243i 0.00770635 0.0377319i
\(484\) −5.17535 8.96397i −0.235243 0.407453i
\(485\) 14.0181 + 8.09335i 0.636528 + 0.367500i
\(486\) −7.25017 + 13.7998i −0.328874 + 0.625972i
\(487\) −25.6391 14.8027i −1.16182 0.670776i −0.210079 0.977684i \(-0.567372\pi\)
−0.951739 + 0.306909i \(0.900705\pi\)
\(488\) 10.6269 0.481058
\(489\) 3.84433 + 3.40636i 0.173847 + 0.154041i
\(490\) 2.39863 + 4.15456i 0.108359 + 0.187684i
\(491\) 16.7692 29.0451i 0.756784 1.31079i −0.187698 0.982227i \(-0.560103\pi\)
0.944482 0.328562i \(-0.106564\pi\)
\(492\) 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 0.478195 0.878254i \(-0.341291\pi\)
0.999688 + 0.0249976i \(0.00795783\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −8.00167 + 39.1778i −0.357488 + 1.75034i
\(502\) −16.4910 + 9.52107i −0.736029 + 0.424946i
\(503\) −23.7159 + 13.6924i −1.05744 + 0.610513i −0.924723 0.380642i \(-0.875703\pi\)
−0.132716 + 0.991154i \(0.542370\pi\)
\(504\) −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
\(507\) 1.34276 6.57443i 0.0596341 0.291981i
\(508\) −9.01862 + 5.20690i −0.400137 + 0.231019i
\(509\) 8.81251 15.2637i 0.390608 0.676552i −0.601922 0.798555i \(-0.705598\pi\)
0.992530 + 0.122002i \(0.0389316\pi\)
\(510\) 5.03787 + 4.46393i 0.223081 + 0.197666i
\(511\) 2.86238i 0.126624i
\(512\) 1.00000i 0.0441942i
\(513\) 14.2940 + 1.15760i 0.631097 + 0.0511091i
\(514\) −1.79313 + 3.10579i −0.0790915 + 0.136991i
\(515\) −0.638630 + 0.368713i −0.0281414 + 0.0162474i
\(516\) 1.39456 + 0.284824i 0.0613920 + 0.0125387i
\(517\) 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 \(-0.747163\pi\)
0.267418 + 0.963581i \(0.413830\pi\)
\(522\) 21.4470 2.60045i 0.938712 0.113819i
\(523\) 39.2997i 1.71846i −0.511592 0.859229i \(-0.670944\pi\)
0.511592 0.859229i \(-0.329056\pi\)
\(524\) −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
\(534\) −8.32488 + 9.39524i −0.360253 + 0.406572i
\(535\) −2.14381 −0.0926850
\(536\) −0.593829 0.342847i −0.0256495 0.0148087i
\(537\) 1.12186 5.49283i 0.0484116 0.237033i
\(538\) 16.7998 + 9.69936i 0.724290 + 0.418169i
\(539\) 1.93280 + 3.34771i 0.0832517 + 0.144196i
\(540\) 4.69503 2.22636i 0.202042 0.0958071i
\(541\) 0.345486 + 0.598400i 0.0148536 + 0.0257272i 0.873357 0.487081i \(-0.161938\pi\)
−0.858503 + 0.512808i \(0.828605\pi\)
\(542\) 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
\(546\) −13.4510 11.9186i −0.575650 0.510068i
\(547\) −7.88536 + 13.6578i −0.337153 + 0.583967i −0.983896 0.178741i \(-0.942797\pi\)
0.646743 + 0.762708i \(0.276131\pi\)
\(548\) −3.25803 + 5.64307i −0.139176 + 0.241060i
\(549\) 31.6490 3.83743i 1.35075 0.163778i
\(550\) 0.805793i 0.0343591i
\(551\) −9.93751 17.2123i −0.423352 0.733268i
\(552\) 0.163418 0.184430i 0.00695555 0.00784985i
\(553\) 9.67646 + 5.58671i 0.411485 + 0.237571i
\(554\) 23.9855 1.01905
\(555\) −13.8996 12.3160i −0.590003 0.522787i
\(556\) 16.3232i 0.692260i
\(557\) 30.0547 1.27346 0.636729 0.771088i \(-0.280287\pi\)
0.636729 + 0.771088i \(0.280287\pi\)
\(558\) −4.01743 + 16.2130i −0.170071 + 0.686350i
\(559\) 2.48249 0.104998
\(560\) 3.43472i 0.145143i
\(561\) 4.05948 + 3.59700i 0.171391 + 0.151866i
\(562\) −9.55099 −0.402884
\(563\) 20.8367 + 12.0301i 0.878162 + 0.507007i 0.870052 0.492960i \(-0.164085\pi\)
0.00811024 + 0.999967i \(0.497418\pi\)
\(564\) 5.60812 6.32918i 0.236145 0.266507i
\(565\) −7.65337 13.2560i −0.321980 0.557685i
\(566\) 12.9772i 0.545473i
\(567\) −21.4062 22.3014i −0.898977 0.936570i
\(568\) −5.67926 + 9.83676i −0.238296 + 0.412741i
\(569\) −1.61547 + 2.79807i −0.0677239 + 0.117301i −0.897899 0.440201i \(-0.854907\pi\)
0.830175 + 0.557503i \(0.188240\pi\)
\(570\) −3.57782 3.17021i −0.149858 0.132786i
\(571\) 16.0871 + 9.28786i 0.673222 + 0.388685i 0.797296 0.603588i \(-0.206263\pi\)
−0.124074 + 0.992273i \(0.539596\pi\)
\(572\) 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
\(576\) −0.361105 2.97819i −0.0150460 0.124091i
\(577\) 11.7194 + 20.2986i 0.487886 + 0.845043i 0.999903 0.0139325i \(-0.00443500\pi\)
−0.512017 + 0.858975i \(0.671102\pi\)
\(578\) −1.64349 0.948867i −0.0683600 0.0394677i
\(579\) −5.37842 + 26.3338i −0.223519 + 1.09440i
\(580\) −6.23657 3.60069i −0.258960 0.149510i
\(581\) 6.41768 0.266250
\(582\) 18.5932 20.9838i 0.770713 0.869806i
\(583\) −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 \(-0.588302\pi\)
−0.273866 + 0.961768i \(0.588302\pi\)
\(588\) 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 \(0.800284\pi\)
\(594\) 3.78322 1.79398i 0.155228 0.0736080i
\(595\) −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 \(-0.151954\pi\)
0.0462061 + 0.998932i \(0.485287\pi\)
\(600\) −1.69702 0.346599i −0.0692805 0.0141498i
\(601\) −32.0608 + 18.5103i −1.30779 + 0.755051i −0.981726 0.190298i \(-0.939055\pi\)
−0.326060 + 0.945349i \(0.605721\pi\)
\(602\) −1.41127 + 2.44440i −0.0575192 + 0.0996261i
\(603\) −1.89234 0.806629i −0.0770619 0.0328485i
\(604\) 19.8572i 0.807979i
\(605\) 10.3507i 0.420816i
\(606\) 3.98136 + 3.52778i 0.161732 + 0.143306i
\(607\) −1.23539 + 2.13976i −0.0501429 + 0.0868500i −0.890007 0.455946i \(-0.849301\pi\)
0.839865 + 0.542796i \(0.182634\pi\)
\(608\) −2.39014 + 1.37995i −0.0969329 + 0.0559642i
\(609\) −8.57300 + 41.9752i −0.347396 + 1.70092i
\(610\) −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 −0.857271 0.514865i \(-0.827842\pi\)
0.0172504 + 0.999851i \(0.494509\pi\)
\(614\) 18.6193 10.7499i 0.751414 0.433829i
\(615\) 0.253909 1.24319i 0.0102386 0.0501303i
\(616\) 2.76767i 0.111513i
\(617\) 20.4157 11.7870i 0.821903 0.474526i −0.0291690 0.999574i \(-0.509286\pi\)
0.851072 + 0.525048i \(0.175953\pi\)
\(618\) 0.404364 + 1.21156i 0.0162659 + 0.0487362i
\(619\) 4.54430i 0.182651i −0.995821 0.0913255i \(-0.970890\pi\)
0.995821 0.0913255i \(-0.0291104\pi\)
\(620\) 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
\(627\) −2.88298 2.55454i −0.115135 0.102018i
\(628\) −1.70330 −0.0679690
\(629\) −36.0850 20.8337i −1.43880 0.830693i
\(630\) 1.24029 + 10.2292i 0.0494144 + 0.407542i
\(631\) −37.2561 21.5098i −1.48314 0.856293i −0.483326 0.875440i \(-0.660572\pi\)
−0.999817 + 0.0191471i \(0.993905\pi\)
\(632\) 1.62654 + 2.81725i 0.0647003 + 0.112064i
\(633\) 6.00344 29.3941i 0.238615 1.16831i
\(634\) 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
\(639\) −13.3618 + 31.3465i −0.528584 + 1.24005i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 16.6839 28.8974i 0.658976 1.14138i −0.321906 0.946772i \(-0.604323\pi\)
0.980881 0.194608i \(-0.0623433\pi\)
\(642\) −0.743042 + 3.63809i −0.0293255 + 0.143584i
\(643\) 24.1854i 0.953778i 0.878963 + 0.476889i \(0.158236\pi\)
−0.878963 + 0.476889i \(0.841764\pi\)
\(644\) 0.244324 + 0.423181i 0.00962770 + 0.0166757i
\(645\) −1.06531 0.943944i −0.0419466 0.0371678i
\(646\) −9.28847 5.36270i −0.365450 0.210993i
\(647\) 23.9342 0.940952 0.470476 0.882413i \(-0.344082\pi\)
0.470476 + 0.882413i \(0.344082\pi\)
\(648\) −2.15088 8.73921i −0.0844944 0.343308i
\(649\) 10.7892i 0.423513i
\(650\) −3.02091 −0.118490
\(651\) −27.9750 17.7355i −1.09643 0.695108i
\(652\) −2.96548 −0.116137
\(653\) 21.4538i 0.839554i −0.907627 0.419777i \(-0.862108\pi\)
0.907627 0.419777i \(-0.137892\pi\)
\(654\) −16.4125 + 18.5228i −0.641781 + 0.724297i
\(655\) 16.2785 0.636052
\(656\) −0.634427 0.366287i −0.0247702 0.0143011i
\(657\) −0.980348 + 2.29988i −0.0382470 + 0.0897268i
\(658\) 8.38460 + 14.5225i 0.326866 + 0.566148i
\(659\) 9.57650i 0.373047i −0.982450 0.186524i \(-0.940278\pi\)
0.982450 0.186524i \(-0.0597221\pi\)
\(660\) −1.36745 0.279287i −0.0532277 0.0108712i
\(661\) −14.2276 + 24.6429i −0.553390 + 0.958499i 0.444637 + 0.895711i \(0.353333\pi\)
−0.998027 + 0.0627884i \(0.980001\pi\)
\(662\) 11.0541 19.1463i 0.429632 0.744144i
\(663\) 13.4851 15.2190i 0.523719 0.591055i
\(664\) 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
\(669\) 0.295594 + 0.0603722i 0.0114283 + 0.00233412i
\(670\) 0.342847 + 0.593829i 0.0132453 + 0.0229416i
\(671\) −7.41586 4.28155i −0.286286 0.165287i
\(672\) 5.82877 + 1.19047i 0.224850 + 0.0459233i
\(673\) −22.2226 12.8302i −0.856618 0.494569i 0.00626006 0.999980i \(-0.498007\pi\)
−0.862878 + 0.505412i \(0.831341\pi\)
\(674\) 1.64170 0.0632358
\(675\) −5.17920 0.419435i −0.199347 0.0161441i
\(676\) 1.93705 + 3.35507i 0.0745020 + 0.129041i
\(677\) −23.9003 + 41.3965i −0.918563 + 1.59100i −0.116964 + 0.993136i \(0.537316\pi\)
−0.801599 + 0.597862i \(0.796017\pi\)
\(678\) −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
\(687\) 8.47151 + 1.73022i 0.323208 + 0.0660120i
\(688\) −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 0.276895 + 0.960900i \(0.410695\pi\)
−0.970611 + 0.240652i \(0.922639\pi\)
\(692\) 11.7703 + 6.79559i 0.447440 + 0.258330i
\(693\) 0.999418 + 8.24264i 0.0379648 + 0.313112i
\(694\) 7.01513 4.05019i 0.266291 0.153743i
\(695\) 8.16162 14.1363i 0.309588 0.536222i
\(696\) −8.27202 + 9.33558i −0.313550 + 0.353864i
\(697\) 2.84690i 0.107834i
\(698\) 10.2078i 0.386370i
\(699\) 2.83517 3.19970i 0.107236 0.121024i
\(700\) 1.71736 2.97455i 0.0649100 0.112427i
\(701\) −31.1895 + 18.0073i −1.17801 + 0.680126i −0.955554 0.294816i \(-0.904742\pi\)
−0.222459 + 0.974942i \(0.571408\pi\)
\(702\) −6.72562 14.1833i −0.253842 0.535313i
\(703\) 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
\(708\) −22.7223 4.64079i −0.853955 0.174412i
\(709\) 45.8983i 1.72375i 0.507122 + 0.861874i \(0.330709\pi\)
−0.507122 + 0.861874i \(0.669291\pi\)
\(710\) 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 \(-0.219503\pi\)
−0.936737 + 0.350034i \(0.886170\pi\)
\(720\) −1.17637 + 2.75974i −0.0438407 + 0.102849i
\(721\) −2.53285 −0.0943282
\(722\) −9.85796 5.69149i −0.366875 0.211815i
\(723\) −13.4222 2.74135i −0.499177 0.101952i
\(724\) 14.2426 + 8.22298i 0.529323 + 0.305605i
\(725\) 3.60069 + 6.23657i 0.133726 + 0.231620i
\(726\) 17.5653 + 3.58754i 0.651910 + 0.133146i
\(727\) −4.07367 7.05581i −0.151084 0.261685i 0.780542 0.625103i \(-0.214943\pi\)
−0.931626 + 0.363418i \(0.881610\pi\)
\(728\) 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
\(732\) −12.2069 + 13.7763i −0.451178 + 0.509188i
\(733\) −8.01155 + 13.8764i −0.295913 + 0.512537i −0.975197 0.221339i \(-0.928957\pi\)
0.679284 + 0.733876i \(0.262291\pi\)
\(734\) 7.29338 12.6325i 0.269203 0.466274i
\(735\) −8.14105 1.66273i −0.300287 0.0613306i
\(736\) 0.142267i 0.00524404i
\(737\) 0.276264 + 0.478503i 0.0101763 + 0.0176259i
\(738\) −2.02171 0.861776i −0.0744202 0.0317224i
\(739\) 26.4217 + 15.2546i 0.971938 + 0.561149i 0.899827 0.436248i \(-0.143693\pi\)
0.0721115 + 0.997397i \(0.477026\pi\)
\(740\) 10.7220 0.394148
\(741\) −9.57693 + 10.8083i −0.351817 + 0.397052i
\(742\) 46.6850i 1.71386i
\(743\) 1.95284 0.0716426 0.0358213 0.999358i \(-0.488595\pi\)
0.0358213 + 0.999358i \(0.488595\pi\)
\(744\) −4.47178 8.54419i −0.163943 0.313245i
\(745\) −3.10442 −0.113737
\(746\) 21.3294i 0.780924i
\(747\) 5.15651 + 2.19802i 0.188667 + 0.0804212i
\(748\) −3.13144 −0.114497
\(749\) −6.37688 3.68169i −0.233006 0.134526i
\(750\) 1.29636 + 1.14867i 0.0473364 + 0.0419436i
\(751\) 20.1487 + 34.8986i 0.735238 + 1.27347i 0.954619 + 0.297830i \(0.0962628\pi\)
−0.219381 + 0.975639i \(0.570404\pi\)
\(752\) 4.88227i 0.178038i
\(753\) 6.59998 32.3149i 0.240517 1.17762i
\(754\) −10.8773 + 18.8401i −0.396130 + 0.686117i
\(755\) 9.92861 17.1969i 0.361339 0.625858i
\(756\) 17.7891 + 1.44064i 0.646982 + 0.0523955i
\(757\) −41.1044 23.7316i −1.49396 0.862540i −0.493987 0.869469i \(-0.664461\pi\)
−0.999976 + 0.00692880i \(0.997794\pi\)
\(758\) −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 \(-0.0766224\pi\)
−0.692043 + 0.721856i \(0.743289\pi\)
\(762\) 3.60941 17.6724i 0.130755 0.640204i
\(763\) −24.5381 42.5012i −0.888338 1.53865i
\(764\) 11.6288 + 6.71391i 0.420717 + 0.242901i
\(765\) −11.5737 + 1.40331i −0.418449 + 0.0507368i
\(766\) −20.4494 11.8065i −0.738866 0.426585i
\(767\) −40.4485 −1.46051
\(768\) 1.29636 + 1.14867i 0.0467784 + 0.0414491i
\(769\) −3.29403 5.70542i −0.118786 0.205743i 0.800501 0.599331i \(-0.204567\pi\)
−0.919287 + 0.393589i \(0.871233\pi\)
\(770\) 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 \(-0.645564\pi\)
−0.441529 + 0.897247i \(0.645564\pi\)
\(774\) −1.97112 + 1.48068i −0.0708506 + 0.0532220i
\(775\) −5.49661 + 0.887263i −0.197444 + 0.0318714i
\(776\)