Properties

Label 930.2.o.e.161.6
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 161.6
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.16

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(0.433517 + 1.67692i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.67692 - 0.433517i) q^{6} +(-1.74230 - 3.01775i) q^{7} +1.00000i q^{8} +(-2.62413 + 1.45395i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(0.433517 + 1.67692i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.67692 - 0.433517i) q^{6} +(-1.74230 - 3.01775i) q^{7} +1.00000i q^{8} +(-2.62413 + 1.45395i) q^{9} +(0.500000 - 0.866025i) q^{10} +(2.28452 - 3.95691i) q^{11} +(-0.433517 - 1.67692i) q^{12} +(-6.16355 - 3.55853i) q^{13} +(-3.01775 + 1.74230i) q^{14} +(-0.463024 + 1.66901i) q^{15} +1.00000 q^{16} +(-1.01037 - 1.75002i) q^{17} +(1.45395 + 2.62413i) q^{18} +(3.87530 + 6.71222i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(4.30521 - 4.22995i) q^{21} +(-3.95691 - 2.28452i) q^{22} -7.42056 q^{23} +(-1.67692 + 0.433517i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-3.55853 + 6.16355i) q^{26} +(-3.57576 - 3.77014i) q^{27} +(1.74230 + 3.01775i) q^{28} -6.35073 q^{29} +(1.66901 + 0.463024i) q^{30} +(-1.29260 - 5.41564i) q^{31} -1.00000i q^{32} +(7.62581 + 2.11558i) q^{33} +(-1.75002 + 1.01037i) q^{34} -3.48460i q^{35} +(2.62413 - 1.45395i) q^{36} +(7.71423 - 4.45381i) q^{37} +(6.71222 - 3.87530i) q^{38} +(3.29537 - 11.8785i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(-2.17100 - 1.25343i) q^{41} +(-4.22995 - 4.30521i) q^{42} +(-3.21363 + 1.85539i) q^{43} +(-2.28452 + 3.95691i) q^{44} +(-2.99953 - 0.0529076i) q^{45} +7.42056i q^{46} -5.93476i q^{47} +(0.433517 + 1.67692i) q^{48} +(-2.57122 + 4.45348i) q^{49} +(0.866025 - 0.500000i) q^{50} +(2.49663 - 2.45298i) q^{51} +(6.16355 + 3.55853i) q^{52} +(5.09901 - 8.83174i) q^{53} +(-3.77014 + 3.57576i) q^{54} +(3.95691 - 2.28452i) q^{55} +(3.01775 - 1.74230i) q^{56} +(-9.57585 + 9.40843i) q^{57} +6.35073i q^{58} +(7.20993 - 4.16265i) q^{59} +(0.463024 - 1.66901i) q^{60} -2.03181i q^{61} +(-5.41564 + 1.29260i) q^{62} +(8.95967 + 5.38575i) q^{63} -1.00000 q^{64} +(-3.55853 - 6.16355i) q^{65} +(2.11558 - 7.62581i) q^{66} +(-3.08925 + 5.35073i) q^{67} +(1.01037 + 1.75002i) q^{68} +(-3.21694 - 12.4437i) q^{69} -3.48460 q^{70} +(-2.26644 - 1.30853i) q^{71} +(-1.45395 - 2.62413i) q^{72} +(7.81979 + 4.51476i) q^{73} +(-4.45381 - 7.71423i) q^{74} +(-1.23550 + 1.21390i) q^{75} +(-3.87530 - 6.71222i) q^{76} -15.9213 q^{77} +(-11.8785 - 3.29537i) q^{78} +(-7.33730 + 4.23619i) q^{79} +(0.866025 + 0.500000i) q^{80} +(4.77207 - 7.63068i) q^{81} +(-1.25343 + 2.17100i) q^{82} +(4.54612 - 7.87412i) q^{83} +(-4.30521 + 4.22995i) q^{84} -2.02075i q^{85} +(1.85539 + 3.21363i) q^{86} +(-2.75315 - 10.6497i) q^{87} +(3.95691 + 2.28452i) q^{88} -3.74116 q^{89} +(-0.0529076 + 2.99953i) q^{90} +24.8001i q^{91} +7.42056 q^{92} +(8.52124 - 4.51536i) q^{93} -5.93476 q^{94} +7.75060i q^{95} +(1.67692 - 0.433517i) q^{96} +5.16445 q^{97} +(4.45348 + 2.57122i) q^{98} +(-0.241737 + 13.7050i) 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
\(3\) 0.433517 + 1.67692i 0.250291 + 0.968171i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.67692 0.433517i 0.684600 0.176983i
\(7\) −1.74230 3.01775i −0.658527 1.14060i −0.980997 0.194023i \(-0.937846\pi\)
0.322469 0.946580i \(-0.395487\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.62413 + 1.45395i −0.874709 + 0.484649i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 2.28452 3.95691i 0.688810 1.19305i −0.283413 0.958998i \(-0.591467\pi\)
0.972223 0.234056i \(-0.0752000\pi\)
\(12\) −0.433517 1.67692i −0.125146 0.484085i
\(13\) −6.16355 3.55853i −1.70946 0.986958i −0.935219 0.354070i \(-0.884797\pi\)
−0.774243 0.632888i \(-0.781869\pi\)
\(14\) −3.01775 + 1.74230i −0.806528 + 0.465649i
\(15\) −0.463024 + 1.66901i −0.119552 + 0.430938i
\(16\) 1.00000 0.250000
\(17\) −1.01037 1.75002i −0.245052 0.424442i 0.717095 0.696976i \(-0.245472\pi\)
−0.962146 + 0.272534i \(0.912138\pi\)
\(18\) 1.45395 + 2.62413i 0.342699 + 0.618512i
\(19\) 3.87530 + 6.71222i 0.889055 + 1.53989i 0.840994 + 0.541044i \(0.181971\pi\)
0.0480605 + 0.998844i \(0.484696\pi\)
\(20\) −0.866025 0.500000i −0.193649 0.111803i
\(21\) 4.30521 4.22995i 0.939475 0.923050i
\(22\) −3.95691 2.28452i −0.843617 0.487062i
\(23\) −7.42056 −1.54729 −0.773647 0.633617i \(-0.781570\pi\)
−0.773647 + 0.633617i \(0.781570\pi\)
\(24\) −1.67692 + 0.433517i −0.342300 + 0.0884913i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −3.55853 + 6.16355i −0.697885 + 1.20877i
\(27\) −3.57576 3.77014i −0.688155 0.725564i
\(28\) 1.74230 + 3.01775i 0.329264 + 0.570302i
\(29\) −6.35073 −1.17930 −0.589650 0.807659i \(-0.700734\pi\)
−0.589650 + 0.807659i \(0.700734\pi\)
\(30\) 1.66901 + 0.463024i 0.304719 + 0.0845362i
\(31\) −1.29260 5.41564i −0.232158 0.972678i
\(32\) 1.00000i 0.176777i
\(33\) 7.62581 + 2.11558i 1.32748 + 0.368275i
\(34\) −1.75002 + 1.01037i −0.300126 + 0.173278i
\(35\) 3.48460i 0.589005i
\(36\) 2.62413 1.45395i 0.437354 0.242325i
\(37\) 7.71423 4.45381i 1.26821 0.732202i 0.293562 0.955940i \(-0.405159\pi\)
0.974649 + 0.223738i \(0.0718260\pi\)
\(38\) 6.71222 3.87530i 1.08887 0.628657i
\(39\) 3.29537 11.8785i 0.527681 1.90208i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) −2.17100 1.25343i −0.339053 0.195752i 0.320800 0.947147i \(-0.396048\pi\)
−0.659853 + 0.751394i \(0.729382\pi\)
\(42\) −4.22995 4.30521i −0.652695 0.664309i
\(43\) −3.21363 + 1.85539i −0.490074 + 0.282944i −0.724605 0.689164i \(-0.757978\pi\)
0.234531 + 0.972109i \(0.424644\pi\)
\(44\) −2.28452 + 3.95691i −0.344405 + 0.596527i
\(45\) −2.99953 0.0529076i −0.447144 0.00788700i
\(46\) 7.42056i 1.09410i
\(47\) 5.93476i 0.865673i −0.901472 0.432837i \(-0.857513\pi\)
0.901472 0.432837i \(-0.142487\pi\)
\(48\) 0.433517 + 1.67692i 0.0625728 + 0.242043i
\(49\) −2.57122 + 4.45348i −0.367317 + 0.636212i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) 2.49663 2.45298i 0.349598 0.343486i
\(52\) 6.16355 + 3.55853i 0.854731 + 0.493479i
\(53\) 5.09901 8.83174i 0.700402 1.21313i −0.267923 0.963440i \(-0.586337\pi\)
0.968325 0.249692i \(-0.0803294\pi\)
\(54\) −3.77014 + 3.57576i −0.513051 + 0.486599i
\(55\) 3.95691 2.28452i 0.533550 0.308045i
\(56\) 3.01775 1.74230i 0.403264 0.232825i
\(57\) −9.57585 + 9.40843i −1.26835 + 1.24618i
\(58\) 6.35073i 0.833891i
\(59\) 7.20993 4.16265i 0.938652 0.541931i 0.0491148 0.998793i \(-0.484360\pi\)
0.889538 + 0.456862i \(0.151027\pi\)
\(60\) 0.463024 1.66901i 0.0597761 0.215469i
\(61\) 2.03181i 0.260147i −0.991504 0.130073i \(-0.958479\pi\)
0.991504 0.130073i \(-0.0415213\pi\)
\(62\) −5.41564 + 1.29260i −0.687787 + 0.164160i
\(63\) 8.95967 + 5.38575i 1.12881 + 0.678541i
\(64\) −1.00000 −0.125000
\(65\) −3.55853 6.16355i −0.441381 0.764495i
\(66\) 2.11558 7.62581i 0.260410 0.938672i
\(67\) −3.08925 + 5.35073i −0.377412 + 0.653696i −0.990685 0.136175i \(-0.956519\pi\)
0.613273 + 0.789871i \(0.289853\pi\)
\(68\) 1.01037 + 1.75002i 0.122526 + 0.212221i
\(69\) −3.21694 12.4437i −0.387274 1.49804i
\(70\) −3.48460 −0.416489
\(71\) −2.26644 1.30853i −0.268977 0.155294i 0.359445 0.933166i \(-0.382966\pi\)
−0.628423 + 0.777872i \(0.716299\pi\)
\(72\) −1.45395 2.62413i −0.171349 0.309256i
\(73\) 7.81979 + 4.51476i 0.915237 + 0.528412i 0.882113 0.471039i \(-0.156121\pi\)
0.0331247 + 0.999451i \(0.489454\pi\)
\(74\) −4.45381 7.71423i −0.517745 0.896761i
\(75\) −1.23550 + 1.21390i −0.142663 + 0.140169i
\(76\) −3.87530 6.71222i −0.444527 0.769944i
\(77\) −15.9213 −1.81440
\(78\) −11.8785 3.29537i −1.34497 0.373127i
\(79\) −7.33730 + 4.23619i −0.825511 + 0.476609i −0.852313 0.523032i \(-0.824801\pi\)
0.0268022 + 0.999641i \(0.491468\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) 4.77207 7.63068i 0.530230 0.847854i
\(82\) −1.25343 + 2.17100i −0.138418 + 0.239747i
\(83\) 4.54612 7.87412i 0.499002 0.864297i −0.500997 0.865449i \(-0.667033\pi\)
0.999999 + 0.00115204i \(0.000366705\pi\)
\(84\) −4.30521 + 4.22995i −0.469737 + 0.461525i
\(85\) 2.02075i 0.219181i
\(86\) 1.85539 + 3.21363i 0.200072 + 0.346534i
\(87\) −2.75315 10.6497i −0.295168 1.14176i
\(88\) 3.95691 + 2.28452i 0.421808 + 0.243531i
\(89\) −3.74116 −0.396562 −0.198281 0.980145i \(-0.563536\pi\)
−0.198281 + 0.980145i \(0.563536\pi\)
\(90\) −0.0529076 + 2.99953i −0.00557695 + 0.316179i
\(91\) 24.8001i 2.59976i
\(92\) 7.42056 0.773647
\(93\) 8.52124 4.51536i 0.883611 0.468221i
\(94\) −5.93476 −0.612123
\(95\) 7.75060i 0.795195i
\(96\) 1.67692 0.433517i 0.171150 0.0442456i
\(97\) 5.16445 0.524371 0.262185 0.965018i \(-0.415557\pi\)
0.262185 + 0.965018i \(0.415557\pi\)
\(98\) 4.45348 + 2.57122i 0.449869 + 0.259732i
\(99\) −0.241737 + 13.7050i −0.0242955 + 1.37741i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 13.3572i 1.32909i 0.747249 + 0.664544i \(0.231374\pi\)
−0.747249 + 0.664544i \(0.768626\pi\)
\(102\) −2.45298 2.49663i −0.242881 0.247203i
\(103\) −5.40064 + 9.35418i −0.532141 + 0.921695i 0.467155 + 0.884175i \(0.345279\pi\)
−0.999296 + 0.0375194i \(0.988054\pi\)
\(104\) 3.55853 6.16355i 0.348942 0.604386i
\(105\) 5.84340 1.51063i 0.570257 0.147423i
\(106\) −8.83174 5.09901i −0.857814 0.495259i
\(107\) 4.08099 2.35616i 0.394524 0.227779i −0.289594 0.957149i \(-0.593520\pi\)
0.684119 + 0.729371i \(0.260187\pi\)
\(108\) 3.57576 + 3.77014i 0.344077 + 0.362782i
\(109\) 7.92947 0.759506 0.379753 0.925088i \(-0.376009\pi\)
0.379753 + 0.925088i \(0.376009\pi\)
\(110\) −2.28452 3.95691i −0.217821 0.377277i
\(111\) 10.8129 + 11.0053i 1.02632 + 1.04458i
\(112\) −1.74230 3.01775i −0.164632 0.285151i
\(113\) −6.53805 3.77475i −0.615048 0.355098i 0.159890 0.987135i \(-0.448886\pi\)
−0.774939 + 0.632037i \(0.782219\pi\)
\(114\) 9.40843 + 9.57585i 0.881180 + 0.896860i
\(115\) −6.42639 3.71028i −0.599264 0.345985i
\(116\) 6.35073 0.589650
\(117\) 21.3479 + 0.376546i 1.97361 + 0.0348117i
\(118\) −4.16265 7.20993i −0.383203 0.663727i
\(119\) −3.52075 + 6.09811i −0.322746 + 0.559013i
\(120\) −1.66901 0.463024i −0.152359 0.0422681i
\(121\) −4.93811 8.55305i −0.448919 0.777550i
\(122\) −2.03181 −0.183951
\(123\) 1.16073 4.18398i 0.104660 0.377256i
\(124\) 1.29260 + 5.41564i 0.116079 + 0.486339i
\(125\) 1.00000i 0.0894427i
\(126\) 5.38575 8.95967i 0.479801 0.798191i
\(127\) −2.02816 + 1.17096i −0.179970 + 0.103906i −0.587279 0.809385i \(-0.699801\pi\)
0.407308 + 0.913291i \(0.366467\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −4.50450 4.58466i −0.396599 0.403657i
\(130\) −6.16355 + 3.55853i −0.540579 + 0.312104i
\(131\) −9.65680 + 5.57535i −0.843718 + 0.487121i −0.858526 0.512769i \(-0.828620\pi\)
0.0148082 + 0.999890i \(0.495286\pi\)
\(132\) −7.62581 2.11558i −0.663742 0.184137i
\(133\) 13.5039 23.3894i 1.17093 2.02812i
\(134\) 5.35073 + 3.08925i 0.462233 + 0.266870i
\(135\) −1.21163 5.05292i −0.104280 0.434886i
\(136\) 1.75002 1.01037i 0.150063 0.0866388i
\(137\) −4.11888 + 7.13410i −0.351899 + 0.609508i −0.986582 0.163265i \(-0.947797\pi\)
0.634683 + 0.772773i \(0.281131\pi\)
\(138\) −12.4437 + 3.21694i −1.05928 + 0.273844i
\(139\) 7.69544i 0.652719i 0.945246 + 0.326359i \(0.105822\pi\)
−0.945246 + 0.326359i \(0.894178\pi\)
\(140\) 3.48460i 0.294502i
\(141\) 9.95212 2.57282i 0.838119 0.216670i
\(142\) −1.30853 + 2.26644i −0.109810 + 0.190196i
\(143\) −28.1616 + 16.2591i −2.35499 + 1.35965i
\(144\) −2.62413 + 1.45395i −0.218677 + 0.121162i
\(145\) −5.49989 3.17536i −0.456741 0.263700i
\(146\) 4.51476 7.81979i 0.373644 0.647170i
\(147\) −8.58280 2.38107i −0.707898 0.196387i
\(148\) −7.71423 + 4.45381i −0.634106 + 0.366101i
\(149\) 10.0333 5.79275i 0.821963 0.474560i −0.0291300 0.999576i \(-0.509274\pi\)
0.851093 + 0.525015i \(0.175940\pi\)
\(150\) 1.21390 + 1.23550i 0.0991143 + 0.100878i
\(151\) 3.25609i 0.264977i 0.991185 + 0.132489i \(0.0422968\pi\)
−0.991185 + 0.132489i \(0.957703\pi\)
\(152\) −6.71222 + 3.87530i −0.544433 + 0.314328i
\(153\) 5.19578 + 3.12324i 0.420054 + 0.252499i
\(154\) 15.9213i 1.28298i
\(155\) 1.58840 5.33638i 0.127583 0.428629i
\(156\) −3.29537 + 11.8785i −0.263840 + 0.951039i
\(157\) −8.65383 −0.690651 −0.345326 0.938483i \(-0.612231\pi\)
−0.345326 + 0.938483i \(0.612231\pi\)
\(158\) 4.23619 + 7.33730i 0.337013 + 0.583724i
\(159\) 17.0206 + 4.72192i 1.34982 + 0.374473i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) 12.9288 + 22.3934i 1.01894 + 1.76485i
\(162\) −7.63068 4.77207i −0.599523 0.374930i
\(163\) −10.5145 −0.823559 −0.411779 0.911284i \(-0.635093\pi\)
−0.411779 + 0.911284i \(0.635093\pi\)
\(164\) 2.17100 + 1.25343i 0.169527 + 0.0978762i
\(165\) 5.54636 + 5.64505i 0.431783 + 0.439466i
\(166\) −7.87412 4.54612i −0.611150 0.352848i
\(167\) 3.17082 + 5.49202i 0.245365 + 0.424985i 0.962234 0.272223i \(-0.0877588\pi\)
−0.716869 + 0.697208i \(0.754425\pi\)
\(168\) 4.22995 + 4.30521i 0.326347 + 0.332154i
\(169\) 18.8263 + 32.6080i 1.44817 + 2.50831i
\(170\) −2.02075 −0.154984
\(171\) −19.9285 11.9792i −1.52397 0.916074i
\(172\) 3.21363 1.85539i 0.245037 0.141472i
\(173\) 5.87328 + 3.39094i 0.446537 + 0.257808i 0.706367 0.707846i \(-0.250333\pi\)
−0.259829 + 0.965655i \(0.583666\pi\)
\(174\) −10.6497 + 2.75315i −0.807349 + 0.208716i
\(175\) 1.74230 3.01775i 0.131705 0.228121i
\(176\) 2.28452 3.95691i 0.172203 0.298264i
\(177\) 10.1061 + 10.2859i 0.759618 + 0.773135i
\(178\) 3.74116i 0.280412i
\(179\) −9.95391 17.2407i −0.743990 1.28863i −0.950665 0.310219i \(-0.899598\pi\)
0.206675 0.978410i \(-0.433736\pi\)
\(180\) 2.99953 + 0.0529076i 0.223572 + 0.00394350i
\(181\) 0.510977 + 0.295013i 0.0379806 + 0.0219281i 0.518870 0.854853i \(-0.326353\pi\)
−0.480889 + 0.876781i \(0.659686\pi\)
\(182\) 24.8001 1.83831
\(183\) 3.40719 0.880825i 0.251866 0.0651124i
\(184\) 7.42056i 0.547051i
\(185\) 8.90762 0.654901
\(186\) −4.51536 8.52124i −0.331082 0.624808i
\(187\) −9.23289 −0.675176
\(188\) 5.93476i 0.432837i
\(189\) −5.14731 + 17.3595i −0.374411 + 1.26272i
\(190\) 7.75060 0.562288
\(191\) −0.0332892 0.0192195i −0.00240872 0.00139068i 0.498795 0.866720i \(-0.333776\pi\)
−0.501204 + 0.865329i \(0.667109\pi\)
\(192\) −0.433517 1.67692i −0.0312864 0.121021i
\(193\) 0.826680 + 1.43185i 0.0595057 + 0.103067i 0.894244 0.447581i \(-0.147714\pi\)
−0.834738 + 0.550647i \(0.814381\pi\)
\(194\) 5.16445i 0.370786i
\(195\) 8.79311 8.63938i 0.629687 0.618679i
\(196\) 2.57122 4.45348i 0.183658 0.318106i
\(197\) 5.61969 9.73359i 0.400386 0.693490i −0.593386 0.804918i \(-0.702209\pi\)
0.993772 + 0.111428i \(0.0355426\pi\)
\(198\) 13.7050 + 0.241737i 0.973973 + 0.0171795i
\(199\) −11.3096 6.52959i −0.801715 0.462870i 0.0423557 0.999103i \(-0.486514\pi\)
−0.844070 + 0.536232i \(0.819847\pi\)
\(200\) −0.866025 + 0.500000i −0.0612372 + 0.0353553i
\(201\) −10.3120 2.86079i −0.727352 0.201785i
\(202\) 13.3572 0.939807
\(203\) 11.0649 + 19.1649i 0.776602 + 1.34511i
\(204\) −2.49663 + 2.45298i −0.174799 + 0.171743i
\(205\) −1.25343 2.17100i −0.0875432 0.151629i
\(206\) 9.35418 + 5.40064i 0.651737 + 0.376280i
\(207\) 19.4725 10.7891i 1.35343 0.749895i
\(208\) −6.16355 3.55853i −0.427366 0.246740i
\(209\) 35.4129 2.44956
\(210\) −1.51063 5.84340i −0.104244 0.403233i
\(211\) 10.2150 + 17.6930i 0.703233 + 1.21803i 0.967326 + 0.253537i \(0.0815941\pi\)
−0.264093 + 0.964497i \(0.585073\pi\)
\(212\) −5.09901 + 8.83174i −0.350201 + 0.606566i
\(213\) 1.21176 4.36792i 0.0830286 0.299285i
\(214\) −2.35616 4.08099i −0.161064 0.278971i
\(215\) −3.71078 −0.253073
\(216\) 3.77014 3.57576i 0.256526 0.243300i
\(217\) −14.0910 + 13.3364i −0.956558 + 0.905335i
\(218\) 7.92947i 0.537052i
\(219\) −4.18088 + 15.0704i −0.282518 + 1.01836i
\(220\) −3.95691 + 2.28452i −0.266775 + 0.154023i
\(221\) 14.3818i 0.967423i
\(222\) 11.0053 10.8129i 0.738630 0.725717i
\(223\) 4.09323 2.36323i 0.274103 0.158253i −0.356648 0.934239i \(-0.616080\pi\)
0.630751 + 0.775986i \(0.282747\pi\)
\(224\) −3.01775 + 1.74230i −0.201632 + 0.116412i
\(225\) −2.57122 1.54559i −0.171415 0.103039i
\(226\) −3.77475 + 6.53805i −0.251092 + 0.434905i
\(227\) 1.98836 + 1.14798i 0.131972 + 0.0761942i 0.564533 0.825411i \(-0.309056\pi\)
−0.432560 + 0.901605i \(0.642390\pi\)
\(228\) 9.57585 9.40843i 0.634176 0.623089i
\(229\) 18.1482 10.4779i 1.19927 0.692396i 0.238874 0.971051i \(-0.423222\pi\)
0.960391 + 0.278654i \(0.0898884\pi\)
\(230\) −3.71028 + 6.42639i −0.244649 + 0.423744i
\(231\) −6.90216 26.6988i −0.454129 1.75665i
\(232\) 6.35073i 0.416946i
\(233\) 20.5404i 1.34564i −0.739805 0.672822i \(-0.765082\pi\)
0.739805 0.672822i \(-0.234918\pi\)
\(234\) 0.376546 21.3479i 0.0246156 1.39555i
\(235\) 2.96738 5.13965i 0.193570 0.335274i
\(236\) −7.20993 + 4.16265i −0.469326 + 0.270966i
\(237\) −10.2846 10.4676i −0.668057 0.679944i
\(238\) 6.09811 + 3.52075i 0.395282 + 0.228216i
\(239\) −3.71386 + 6.43260i −0.240230 + 0.416090i −0.960780 0.277313i \(-0.910556\pi\)
0.720550 + 0.693403i \(0.243889\pi\)
\(240\) −0.463024 + 1.66901i −0.0298880 + 0.107734i
\(241\) 19.2359 11.1059i 1.23909 0.715391i 0.270185 0.962808i \(-0.412915\pi\)
0.968909 + 0.247417i \(0.0795819\pi\)
\(242\) −8.55305 + 4.93811i −0.549811 + 0.317434i
\(243\) 14.8648 + 4.69436i 0.953579 + 0.301143i
\(244\) 2.03181i 0.130073i
\(245\) −4.45348 + 2.57122i −0.284522 + 0.164269i
\(246\) −4.18398 1.16073i −0.266761 0.0740056i
\(247\) 55.1615i 3.50984i
\(248\) 5.41564 1.29260i 0.343894 0.0820801i
\(249\) 15.1751 + 4.20993i 0.961683 + 0.266793i
\(250\) 1.00000 0.0632456
\(251\) −13.1015 22.6925i −0.826961 1.43234i −0.900411 0.435040i \(-0.856734\pi\)
0.0734504 0.997299i \(-0.476599\pi\)
\(252\) −8.95967 5.38575i −0.564406 0.339270i
\(253\) −16.9525 + 29.3625i −1.06579 + 1.84601i
\(254\) 1.17096 + 2.02816i 0.0734726 + 0.127258i
\(255\) 3.38863 0.876028i 0.212204 0.0548590i
\(256\) 1.00000 0.0625000
\(257\) 1.90822 + 1.10171i 0.119032 + 0.0687229i 0.558334 0.829616i \(-0.311441\pi\)
−0.439302 + 0.898339i \(0.644774\pi\)
\(258\) −4.58466 + 4.50450i −0.285428 + 0.280438i
\(259\) −26.8810 15.5197i −1.67030 0.964350i
\(260\) 3.55853 + 6.16355i 0.220691 + 0.382247i
\(261\) 16.6651 9.23362i 1.03154 0.571547i
\(262\) 5.57535 + 9.65680i 0.344447 + 0.596599i
\(263\) −26.8127 −1.65334 −0.826671 0.562685i \(-0.809768\pi\)
−0.826671 + 0.562685i \(0.809768\pi\)
\(264\) −2.11558 + 7.62581i −0.130205 + 0.469336i
\(265\) 8.83174 5.09901i 0.542529 0.313229i
\(266\) −23.3894 13.5039i −1.43410 0.827976i
\(267\) −1.62186 6.27363i −0.0992560 0.383940i
\(268\) 3.08925 5.35073i 0.188706 0.326848i
\(269\) 8.44253 14.6229i 0.514750 0.891574i −0.485103 0.874457i \(-0.661218\pi\)
0.999853 0.0171168i \(-0.00544870\pi\)
\(270\) −5.05292 + 1.21163i −0.307511 + 0.0737373i
\(271\) 1.70861i 0.103791i 0.998653 + 0.0518953i \(0.0165262\pi\)
−0.998653 + 0.0518953i \(0.983474\pi\)
\(272\) −1.01037 1.75002i −0.0612629 0.106110i
\(273\) −41.5878 + 10.7513i −2.51701 + 0.650696i
\(274\) 7.13410 + 4.11888i 0.430987 + 0.248830i
\(275\) 4.56905 0.275524
\(276\) 3.21694 + 12.4437i 0.193637 + 0.749022i
\(277\) 10.7229i 0.644276i 0.946693 + 0.322138i \(0.104401\pi\)
−0.946693 + 0.322138i \(0.895599\pi\)
\(278\) 7.69544 0.461542
\(279\) 11.2660 + 12.3320i 0.674478 + 0.738295i
\(280\) 3.48460 0.208245
\(281\) 5.39706i 0.321961i −0.986958 0.160981i \(-0.948534\pi\)
0.986958 0.160981i \(-0.0514657\pi\)
\(282\) −2.57282 9.95212i −0.153209 0.592640i
\(283\) 1.57973 0.0939053 0.0469527 0.998897i \(-0.485049\pi\)
0.0469527 + 0.998897i \(0.485049\pi\)
\(284\) 2.26644 + 1.30853i 0.134489 + 0.0776471i
\(285\) −12.9971 + 3.36002i −0.769884 + 0.199030i
\(286\) 16.2591 + 28.1616i 0.961421 + 1.66523i
\(287\) 8.73539i 0.515633i
\(288\) 1.45395 + 2.62413i 0.0856747 + 0.154628i
\(289\) 6.45829 11.1861i 0.379899 0.658005i
\(290\) −3.17536 + 5.49989i −0.186464 + 0.322965i
\(291\) 2.23888 + 8.66038i 0.131245 + 0.507680i
\(292\) −7.81979 4.51476i −0.457619 0.264206i
\(293\) 1.57186 0.907515i 0.0918292 0.0530176i −0.453382 0.891316i \(-0.649783\pi\)
0.545211 + 0.838299i \(0.316449\pi\)
\(294\) −2.38107 + 8.58280i −0.138867 + 0.500559i
\(295\) 8.32531 0.484718
\(296\) 4.45381 + 7.71423i 0.258872 + 0.448380i
\(297\) −23.0870 + 5.53598i −1.33965 + 0.321230i
\(298\) −5.79275 10.0333i −0.335565 0.581216i
\(299\) 45.7370 + 26.4063i 2.64504 + 1.52711i
\(300\) 1.23550 1.21390i 0.0713315 0.0700844i
\(301\) 11.1982 + 6.46529i 0.645454 + 0.372653i
\(302\) 3.25609 0.187367
\(303\) −22.3989 + 5.79056i −1.28678 + 0.332659i
\(304\) 3.87530 + 6.71222i 0.222264 + 0.384972i
\(305\) 1.01591 1.75960i 0.0581706 0.100754i
\(306\) 3.12324 5.19578i 0.178544 0.297023i
\(307\) −11.1220 19.2638i −0.634764 1.09944i −0.986565 0.163368i \(-0.947764\pi\)
0.351802 0.936075i \(-0.385569\pi\)
\(308\) 15.9213 0.907201
\(309\) −18.0275 5.00125i −1.02555 0.284511i
\(310\) −5.33638 1.58840i −0.303086 0.0902150i
\(311\) 7.90128i 0.448040i −0.974584 0.224020i \(-0.928082\pi\)
0.974584 0.224020i \(-0.0719182\pi\)
\(312\) 11.8785 + 3.29537i 0.672486 + 0.186563i
\(313\) 26.2824 15.1742i 1.48557 0.857694i 0.485704 0.874123i \(-0.338563\pi\)
0.999865 + 0.0164291i \(0.00522980\pi\)
\(314\) 8.65383i 0.488364i
\(315\) 5.06643 + 9.14403i 0.285461 + 0.515208i
\(316\) 7.33730 4.23619i 0.412756 0.238305i
\(317\) −2.03734 + 1.17626i −0.114428 + 0.0660651i −0.556122 0.831101i \(-0.687711\pi\)
0.441694 + 0.897166i \(0.354378\pi\)
\(318\) 4.72192 17.0206i 0.264792 0.954470i
\(319\) −14.5084 + 25.1293i −0.812314 + 1.40697i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) 5.72027 + 5.82206i 0.319275 + 0.324956i
\(322\) 22.3934 12.9288i 1.24794 0.720496i
\(323\) 7.83100 13.5637i 0.435729 0.754704i
\(324\) −4.77207 + 7.63068i −0.265115 + 0.423927i
\(325\) 7.11706i 0.394783i
\(326\) 10.5145i 0.582344i
\(327\) 3.43756 + 13.2971i 0.190098 + 0.735331i
\(328\) 1.25343 2.17100i 0.0692089 0.119873i
\(329\) −17.9096 + 10.3401i −0.987390 + 0.570070i
\(330\) 5.64505 5.54636i 0.310750 0.305317i
\(331\) 28.9498 + 16.7142i 1.59122 + 0.918693i 0.993098 + 0.117290i \(0.0374207\pi\)
0.598125 + 0.801403i \(0.295913\pi\)
\(332\) −4.54612 + 7.87412i −0.249501 + 0.432148i
\(333\) −13.7675 + 22.9034i −0.754454 + 1.25510i
\(334\) 5.49202 3.17082i 0.300510 0.173499i
\(335\) −5.35073 + 3.08925i −0.292342 + 0.168784i
\(336\) 4.30521 4.22995i 0.234869 0.230762i
\(337\) 20.3539i 1.10875i −0.832267 0.554375i \(-0.812957\pi\)
0.832267 0.554375i \(-0.187043\pi\)
\(338\) 32.6080 18.8263i 1.77364 1.02401i
\(339\) 3.49559 12.6002i 0.189855 0.684350i
\(340\) 2.02075i 0.109590i
\(341\) −24.3822 7.25747i −1.32037 0.393014i
\(342\) −11.9792 + 19.9285i −0.647762 + 1.07761i
\(343\) −6.47286 −0.349502
\(344\) −1.85539 3.21363i −0.100036 0.173267i
\(345\) 3.43589 12.3850i 0.184982 0.666787i
\(346\) 3.39094 5.87328i 0.182298 0.315750i
\(347\) −3.41153 5.90895i −0.183141 0.317209i 0.759808 0.650148i \(-0.225293\pi\)
−0.942948 + 0.332939i \(0.891960\pi\)
\(348\) 2.75315 + 10.6497i 0.147584 + 0.570882i
\(349\) −22.1151 −1.18380 −0.591898 0.806013i \(-0.701621\pi\)
−0.591898 + 0.806013i \(0.701621\pi\)
\(350\) −3.01775 1.74230i −0.161306 0.0931299i
\(351\) 8.62322 + 35.9619i 0.460273 + 1.91950i
\(352\) −3.95691 2.28452i −0.210904 0.121766i
\(353\) 7.74400 + 13.4130i 0.412171 + 0.713902i 0.995127 0.0986022i \(-0.0314371\pi\)
−0.582955 + 0.812504i \(0.698104\pi\)
\(354\) 10.2859 10.1061i 0.546689 0.537131i
\(355\) −1.30853 2.26644i −0.0694497 0.120290i
\(356\) 3.74116 0.198281
\(357\) −11.7524 3.26038i −0.622001 0.172558i
\(358\) −17.2407 + 9.95391i −0.911198 + 0.526081i
\(359\) 6.07127 + 3.50525i 0.320429 + 0.185000i 0.651584 0.758577i \(-0.274105\pi\)
−0.331155 + 0.943577i \(0.607438\pi\)
\(360\) 0.0529076 2.99953i 0.00278847 0.158089i
\(361\) −20.5359 + 35.5692i −1.08084 + 1.87207i
\(362\) 0.295013 0.510977i 0.0155055 0.0268563i
\(363\) 12.2020 11.9887i 0.640441 0.629244i
\(364\) 24.8001i 1.29988i
\(365\) 4.51476 + 7.81979i 0.236313 + 0.409307i
\(366\) −0.880825 3.40719i −0.0460414 0.178096i
\(367\) −0.917271 0.529587i −0.0478812 0.0276442i 0.475868 0.879517i \(-0.342134\pi\)
−0.523749 + 0.851872i \(0.675467\pi\)
\(368\) −7.42056 −0.386824
\(369\) 7.51939 + 0.132632i 0.391444 + 0.00690453i
\(370\) 8.90762i 0.463085i
\(371\) −35.5360 −1.84494
\(372\) −8.52124 + 4.51536i −0.441806 + 0.234110i
\(373\) −9.78720 −0.506762 −0.253381 0.967367i \(-0.581543\pi\)
−0.253381 + 0.967367i \(0.581543\pi\)
\(374\) 9.23289i 0.477422i
\(375\) −1.67692 + 0.433517i −0.0865958 + 0.0223867i
\(376\) 5.93476 0.306062
\(377\) 39.1430 + 22.5992i 2.01597 + 1.16392i
\(378\) 17.3595 + 5.14731i 0.892875 + 0.264749i
\(379\) 3.22853 + 5.59198i 0.165838 + 0.287241i 0.936953 0.349456i \(-0.113634\pi\)
−0.771114 + 0.636697i \(0.780300\pi\)
\(380\) 7.75060i 0.397597i
\(381\) −2.84285 2.89344i −0.145644 0.148235i
\(382\) −0.0192195 + 0.0332892i −0.000983358 + 0.00170323i
\(383\) −6.78475 + 11.7515i −0.346684 + 0.600475i −0.985658 0.168753i \(-0.946026\pi\)
0.638974 + 0.769228i \(0.279359\pi\)
\(384\) −1.67692 + 0.433517i −0.0855750 + 0.0221228i
\(385\) −13.7883 7.96066i −0.702715 0.405713i
\(386\) 1.43185 0.826680i 0.0728793 0.0420769i
\(387\) 5.73533 9.54122i 0.291543 0.485008i
\(388\) −5.16445 −0.262185
\(389\) −8.50667 14.7340i −0.431306 0.747043i 0.565681 0.824624i \(-0.308614\pi\)
−0.996986 + 0.0775814i \(0.975280\pi\)
\(390\) −8.63938 8.79311i −0.437472 0.445256i
\(391\) 7.49754 + 12.9861i 0.379167 + 0.656736i
\(392\) −4.45348 2.57122i −0.224935 0.129866i
\(393\) −13.5358 13.7767i −0.682791 0.694941i
\(394\) −9.73359 5.61969i −0.490371 0.283116i
\(395\) −8.47239 −0.426292
\(396\) 0.241737 13.7050i 0.0121478 0.688703i
\(397\) 1.89196 + 3.27696i 0.0949546 + 0.164466i 0.909590 0.415508i \(-0.136396\pi\)
−0.814635 + 0.579974i \(0.803063\pi\)
\(398\) −6.52959 + 11.3096i −0.327299 + 0.566898i
\(399\) 45.0763 + 12.5052i 2.25664 + 0.626044i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) 6.86891 0.343017 0.171509 0.985183i \(-0.445136\pi\)
0.171509 + 0.985183i \(0.445136\pi\)
\(402\) −2.86079 + 10.3120i −0.142683 + 0.514316i
\(403\) −11.3047 + 37.9794i −0.563128 + 1.89189i
\(404\) 13.3572i 0.664544i
\(405\) 7.94808 4.22233i 0.394943 0.209809i
\(406\) 19.1649 11.0649i 0.951139 0.549140i
\(407\) 40.6994i 2.01739i
\(408\) 2.45298 + 2.49663i 0.121441 + 0.123602i
\(409\) 5.16441 2.98167i 0.255364 0.147434i −0.366854 0.930278i \(-0.619565\pi\)
0.622218 + 0.782844i \(0.286232\pi\)
\(410\) −2.17100 + 1.25343i −0.107218 + 0.0619024i
\(411\) −13.7489 3.81427i −0.678185 0.188144i
\(412\) 5.40064 9.35418i 0.266070 0.460847i
\(413\) −25.1237 14.5052i −1.23626 0.713753i
\(414\) −10.7891 19.4725i −0.530256 0.957021i
\(415\) 7.87412 4.54612i 0.386525 0.223160i
\(416\) −3.55853 + 6.16355i −0.174471 + 0.302193i
\(417\) −12.9046 + 3.33611i −0.631943 + 0.163370i
\(418\) 35.4129i 1.73210i
\(419\) 1.08088i 0.0528046i 0.999651 + 0.0264023i \(0.00840510\pi\)
−0.999651 + 0.0264023i \(0.991595\pi\)
\(420\) −5.84340 + 1.51063i −0.285129 + 0.0737114i
\(421\) 6.53199 11.3137i 0.318350 0.551398i −0.661794 0.749686i \(-0.730205\pi\)
0.980144 + 0.198288i \(0.0635380\pi\)
\(422\) 17.6930 10.2150i 0.861281 0.497261i
\(423\) 8.62883 + 15.5736i 0.419548 + 0.757212i
\(424\) 8.83174 + 5.09901i 0.428907 + 0.247630i
\(425\) 1.01037 1.75002i 0.0490103 0.0848884i
\(426\) −4.36792 1.21176i −0.211626 0.0587101i
\(427\) −6.13150 + 3.54002i −0.296724 + 0.171314i
\(428\) −4.08099 + 2.35616i −0.197262 + 0.113889i
\(429\) −39.4737 40.1761i −1.90581 1.93972i
\(430\) 3.71078i 0.178950i
\(431\) −6.28123 + 3.62647i −0.302556 + 0.174681i −0.643591 0.765370i \(-0.722556\pi\)
0.341035 + 0.940051i \(0.389223\pi\)
\(432\) −3.57576 3.77014i −0.172039 0.181391i
\(433\) 19.0811i 0.916977i −0.888700 0.458488i \(-0.848391\pi\)
0.888700 0.458488i \(-0.151609\pi\)
\(434\) 13.3364 + 14.0910i 0.640168 + 0.676388i
\(435\) 2.94054 10.5995i 0.140988 0.508205i
\(436\) −7.92947 −0.379753
\(437\) −28.7569 49.8084i −1.37563 2.38266i
\(438\) 15.0704 + 4.18088i 0.720091 + 0.199770i
\(439\) −16.8037 + 29.1048i −0.801995 + 1.38910i 0.116306 + 0.993213i \(0.462895\pi\)
−0.918301 + 0.395883i \(0.870439\pi\)
\(440\) 2.28452 + 3.95691i 0.108910 + 0.188638i
\(441\) 0.272074 15.4249i 0.0129559 0.734520i
\(442\) 14.3818 0.684071
\(443\) −6.93043 4.00128i −0.329275 0.190107i 0.326244 0.945285i \(-0.394217\pi\)
−0.655519 + 0.755179i \(0.727550\pi\)
\(444\) −10.8129 11.0053i −0.513159 0.522290i
\(445\) −3.23994 1.87058i −0.153588 0.0886739i
\(446\) −2.36323 4.09323i −0.111902 0.193820i
\(447\) 14.0636 + 14.3139i 0.665186 + 0.677022i
\(448\) 1.74230 + 3.01775i 0.0823159 + 0.142575i
\(449\) 20.3595 0.960824 0.480412 0.877043i \(-0.340487\pi\)
0.480412 + 0.877043i \(0.340487\pi\)
\(450\) −1.54559 + 2.57122i −0.0728596 + 0.121208i
\(451\) −9.91941 + 5.72697i −0.467087 + 0.269673i
\(452\) 6.53805 + 3.77475i 0.307524 + 0.177549i
\(453\) −5.46021 + 1.41157i −0.256543 + 0.0663214i
\(454\) 1.14798 1.98836i 0.0538774 0.0933184i
\(455\) −12.4000 + 21.4775i −0.581323 + 1.00688i
\(456\) −9.40843 9.57585i −0.440590 0.448430i
\(457\) 11.2885i 0.528052i 0.964516 + 0.264026i \(0.0850504\pi\)
−0.964516 + 0.264026i \(0.914950\pi\)
\(458\) −10.4779 18.1482i −0.489598 0.848009i
\(459\) −2.98496 + 10.0669i −0.139326 + 0.469882i
\(460\) 6.42639 + 3.71028i 0.299632 + 0.172993i
\(461\) −16.9753 −0.790617 −0.395308 0.918548i \(-0.629362\pi\)
−0.395308 + 0.918548i \(0.629362\pi\)
\(462\) −26.6988 + 6.90216i −1.24214 + 0.321118i
\(463\) 7.96544i 0.370186i 0.982721 + 0.185093i \(0.0592586\pi\)
−0.982721 + 0.185093i \(0.940741\pi\)
\(464\) −6.35073 −0.294825
\(465\) 9.63729 + 0.350205i 0.446919 + 0.0162404i
\(466\) −20.5404 −0.951513
\(467\) 17.5704i 0.813063i −0.913637 0.406532i \(-0.866738\pi\)
0.913637 0.406532i \(-0.133262\pi\)
\(468\) −21.3479 0.376546i −0.986805 0.0174059i
\(469\) 21.5296 0.994144
\(470\) −5.13965 2.96738i −0.237074 0.136875i
\(471\) −3.75158 14.5118i −0.172864 0.668668i
\(472\) 4.16265 + 7.20993i 0.191602 + 0.331864i
\(473\) 16.9547i 0.779579i
\(474\) −10.4676 + 10.2846i −0.480793 + 0.472388i
\(475\) −3.87530 + 6.71222i −0.177811 + 0.307978i
\(476\) 3.52075 6.09811i 0.161373 0.279507i
\(477\) −0.539552 + 30.5893i −0.0247044 + 1.40059i
\(478\) 6.43260 + 3.71386i 0.294220 + 0.169868i
\(479\) 34.7418 20.0582i 1.58739 0.916481i 0.593658 0.804718i \(-0.297683\pi\)
0.993735 0.111764i \(-0.0356500\pi\)
\(480\) 1.66901 + 0.463024i 0.0761797 + 0.0211340i
\(481\) −63.3961 −2.89061
\(482\) −11.1059 19.2359i −0.505858 0.876172i
\(483\) −31.9471 + 31.3886i −1.45364 + 1.42823i
\(484\) 4.93811 + 8.55305i 0.224459 + 0.388775i
\(485\) 4.47255 + 2.58223i 0.203088 + 0.117253i
\(486\) 4.69436 14.8648i 0.212940 0.674282i
\(487\) 11.2285 + 6.48275i 0.508810 + 0.293761i 0.732344 0.680935i \(-0.238426\pi\)
−0.223535 + 0.974696i \(0.571760\pi\)
\(488\) 2.03181 0.0919757
\(489\) −4.55821 17.6320i −0.206130 0.797346i
\(490\) 2.57122 + 4.45348i 0.116156 + 0.201188i
\(491\) −5.53082 + 9.57967i −0.249603 + 0.432324i −0.963416 0.268012i \(-0.913633\pi\)
0.713813 + 0.700336i \(0.246967\pi\)
\(492\) −1.16073 + 4.18398i −0.0523299 + 0.188628i
\(493\) 6.41661 + 11.1139i 0.288989 + 0.500544i
\(494\) −55.1615 −2.48183
\(495\) −7.06186 + 11.7480i −0.317407 + 0.528034i
\(496\) −1.29260 5.41564i −0.0580394 0.243170i
\(497\) 9.11942i 0.409062i
\(498\) 4.20993 15.1751i 0.188651 0.680012i
\(499\) −20.9146 + 12.0750i −0.936264 + 0.540552i −0.888787 0.458320i \(-0.848451\pi\)
−0.0474768 + 0.998872i \(0.515118\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −7.83507 + 7.69809i −0.350045 + 0.343925i
\(502\) −22.6925 + 13.1015i −1.01282 + 0.584750i
\(503\) 1.02268 0.590446i 0.0455991 0.0263267i −0.477027 0.878889i \(-0.658286\pi\)
0.522626 + 0.852562i \(0.324952\pi\)
\(504\) −5.38575 + 8.95967i −0.239900 + 0.399095i
\(505\) −6.67859 + 11.5677i −0.297193 + 0.514754i
\(506\) 29.3625 + 16.9525i 1.30532 + 0.753629i
\(507\) −46.5196 + 45.7063i −2.06601 + 2.02989i
\(508\) 2.02816 1.17096i 0.0899852 0.0519530i
\(509\) 14.3823 24.9109i 0.637484 1.10416i −0.348498 0.937309i \(-0.613308\pi\)
0.985983 0.166846i \(-0.0533583\pi\)
\(510\) −0.876028 3.38863i −0.0387912 0.150051i
\(511\) 31.4643i 1.39190i
\(512\) 1.00000i 0.0441942i
\(513\) 11.4489 38.6117i 0.505480 1.70475i
\(514\) 1.10171 1.90822i 0.0485944 0.0841680i
\(515\) −9.35418 + 5.40064i −0.412194 + 0.237981i
\(516\) 4.50450 + 4.58466i 0.198300 + 0.201828i
\(517\) −23.4833 13.5581i −1.03280 0.596285i
\(518\) −15.5197 + 26.8810i −0.681899 + 1.18108i
\(519\) −3.14017 + 11.3191i −0.137838 + 0.496852i
\(520\) 6.16355 3.55853i 0.270290 0.156052i
\(521\) −7.38345 + 4.26284i −0.323475 + 0.186758i −0.652940 0.757409i \(-0.726465\pi\)
0.329465 + 0.944168i \(0.393131\pi\)
\(522\) −9.23362 16.6651i −0.404145 0.729412i
\(523\) 16.0030i 0.699764i −0.936794 0.349882i \(-0.886222\pi\)
0.936794 0.349882i \(-0.113778\pi\)
\(524\) 9.65680 5.57535i 0.421859 0.243560i
\(525\) 5.81585 + 1.61345i 0.253824 + 0.0704168i
\(526\) 26.8127i 1.16909i
\(527\) −8.17147 + 7.73389i −0.355955 + 0.336894i
\(528\) 7.62581 + 2.11558i 0.331871 + 0.0920687i
\(529\) 32.0647 1.39412
\(530\) −5.09901 8.83174i −0.221487 0.383626i
\(531\) −12.8675 + 21.4062i −0.558401 + 0.928949i
\(532\) −13.5039 + 23.3894i −0.585467 + 1.01406i
\(533\) 8.92071 + 15.4511i 0.386399 + 0.669263i
\(534\) −6.27363 + 1.62186i −0.271486 + 0.0701846i
\(535\) 4.71232 0.203731
\(536\) −5.35073 3.08925i −0.231117 0.133435i
\(537\) 24.5961 24.1660i 1.06140 1.04284i
\(538\) −14.6229 8.44253i −0.630438 0.363983i
\(539\) 11.7480 + 20.3482i 0.506023 + 0.876458i
\(540\) 1.21163 + 5.05292i 0.0521401 + 0.217443i
\(541\) −11.1843 19.3718i −0.480850 0.832857i 0.518908 0.854830i \(-0.326339\pi\)
−0.999759 + 0.0219728i \(0.993005\pi\)
\(542\) 1.70861 0.0733911
\(543\) −0.273196 + 0.984761i −0.0117239 + 0.0422601i
\(544\) −1.75002 + 1.01037i −0.0750314 + 0.0433194i
\(545\) 6.86713 + 3.96474i 0.294155 + 0.169831i
\(546\) 10.7513 + 41.5878i 0.460112 + 1.77979i
\(547\) −4.94232 + 8.56034i −0.211318 + 0.366014i −0.952127 0.305702i \(-0.901109\pi\)
0.740809 + 0.671716i \(0.234442\pi\)
\(548\) 4.11888 7.13410i 0.175950 0.304754i
\(549\) 2.95415 + 5.33173i 0.126080 + 0.227553i
\(550\) 4.56905i 0.194825i
\(551\) −24.6110 42.6275i −1.04846 1.81599i
\(552\) 12.4437 3.21694i 0.529639 0.136922i
\(553\) 25.5676 + 14.7614i 1.08724 + 0.627720i
\(554\) 10.7229 0.455572
\(555\) 3.86161 + 14.9374i 0.163916 + 0.634056i
\(556\) 7.69544i 0.326359i
\(557\) 29.2677 1.24011 0.620056 0.784557i \(-0.287110\pi\)
0.620056 + 0.784557i \(0.287110\pi\)
\(558\) 12.3320 11.2660i 0.522053 0.476928i
\(559\) 26.4098 1.11702
\(560\) 3.48460i 0.147251i
\(561\) −4.00262 15.4828i −0.168991 0.653686i
\(562\) −5.39706 −0.227661
\(563\) −11.1094 6.41401i −0.468205 0.270318i 0.247283 0.968943i \(-0.420462\pi\)
−0.715488 + 0.698625i \(0.753796\pi\)
\(564\) −9.95212 + 2.57282i −0.419060 + 0.108335i
\(565\) −3.77475 6.53805i −0.158805 0.275058i
\(566\) 1.57973i 0.0664011i
\(567\) −31.3419 1.10600i −1.31624 0.0464476i
\(568\) 1.30853 2.26644i 0.0549048 0.0950979i
\(569\) −11.5367 + 19.9822i −0.483644 + 0.837696i −0.999824 0.0187841i \(-0.994020\pi\)
0.516179 + 0.856481i \(0.327354\pi\)
\(570\) 3.36002 + 12.9971i 0.140736 + 0.544390i
\(571\) −36.0606 20.8196i −1.50909 0.871273i −0.999944 0.0105924i \(-0.996628\pi\)
−0.509145 0.860681i \(-0.670038\pi\)
\(572\) 28.1616 16.2591i 1.17749 0.679827i
\(573\) 0.0177982 0.0641554i 0.000743531 0.00268013i
\(574\) 8.73539 0.364608
\(575\) −3.71028 6.42639i −0.154729 0.267999i
\(576\) 2.62413 1.45395i 0.109339 0.0605811i
\(577\) 1.28776 + 2.23047i 0.0536102 + 0.0928556i 0.891585 0.452853i \(-0.149594\pi\)
−0.837975 + 0.545709i \(0.816260\pi\)
\(578\) −11.1861 6.45829i −0.465280 0.268629i
\(579\) −2.04272 + 2.00701i −0.0848926 + 0.0834084i
\(580\) 5.49989 + 3.17536i 0.228370 + 0.131850i
\(581\) −31.6828 −1.31443
\(582\) 8.66038 2.23888i 0.358984 0.0928045i
\(583\) −23.2976 40.3526i −0.964889 1.67124i
\(584\) −4.51476 + 7.81979i −0.186822 + 0.323585i
\(585\) 18.2995 + 11.0000i 0.756592 + 0.454795i
\(586\) −0.907515 1.57186i −0.0374891 0.0649330i
\(587\) 34.5548 1.42623 0.713115 0.701047i \(-0.247284\pi\)
0.713115 + 0.701047i \(0.247284\pi\)
\(588\) 8.58280 + 2.38107i 0.353949 + 0.0981936i
\(589\) 31.3418 29.6634i 1.29141 1.22226i
\(590\) 8.32531i 0.342747i
\(591\) 18.7587 + 5.20410i 0.771629 + 0.214068i
\(592\) 7.71423 4.45381i 0.317053 0.183050i
\(593\) 38.0833i 1.56389i −0.623345 0.781947i \(-0.714227\pi\)
0.623345 0.781947i \(-0.285773\pi\)
\(594\) 5.53598 + 23.0870i 0.227144 + 0.947272i
\(595\) −6.09811 + 3.52075i −0.249998 + 0.144337i
\(596\) −10.0333 + 5.79275i −0.410981 + 0.237280i
\(597\) 6.04671 21.7960i 0.247475 0.892049i
\(598\) 26.4063 45.7370i 1.07983 1.87033i
\(599\) 20.5428 + 11.8604i 0.839355 + 0.484602i 0.857045 0.515242i \(-0.172298\pi\)
−0.0176899 + 0.999844i \(0.505631\pi\)
\(600\) −1.21390 1.23550i −0.0495571 0.0504390i
\(601\) 27.7430 16.0174i 1.13166 0.653365i 0.187309 0.982301i \(-0.440023\pi\)
0.944352 + 0.328936i \(0.106690\pi\)
\(602\) 6.46529 11.1982i 0.263506 0.456405i
\(603\) 0.326889 18.5326i 0.0133120 0.754706i
\(604\) 3.25609i 0.132489i
\(605\) 9.87622i 0.401525i
\(606\) 5.79056 + 22.3989i 0.235226 + 0.909894i
\(607\) 11.3836 19.7170i 0.462047 0.800289i −0.537016 0.843572i \(-0.680448\pi\)
0.999063 + 0.0432830i \(0.0137817\pi\)
\(608\) 6.71222 3.87530i 0.272216 0.157164i
\(609\) −27.3412 + 26.8632i −1.10792 + 1.08855i
\(610\) −1.75960 1.01591i −0.0712441 0.0411328i
\(611\) −21.1190 + 36.5792i −0.854384 + 1.47984i
\(612\) −5.19578 3.12324i −0.210027 0.126249i
\(613\) −31.6497 + 18.2730i −1.27832 + 0.738038i −0.976539 0.215340i \(-0.930914\pi\)
−0.301780 + 0.953378i \(0.597581\pi\)
\(614\) −19.2638 + 11.1220i −0.777423 + 0.448846i
\(615\) 3.09721 3.04306i 0.124892 0.122708i
\(616\) 15.9213i 0.641488i
\(617\) 24.1598 13.9487i 0.972638 0.561553i 0.0725987 0.997361i \(-0.476871\pi\)
0.900040 + 0.435808i \(0.143537\pi\)
\(618\) −5.00125 + 18.0275i −0.201180 + 0.725172i
\(619\) 30.8511i 1.24001i −0.784598 0.620004i \(-0.787131\pi\)
0.784598 0.620004i \(-0.212869\pi\)
\(620\) −1.58840 + 5.33638i −0.0637916 + 0.214314i
\(621\) 26.5341 + 27.9766i 1.06478 + 1.12266i
\(622\) −7.90128 −0.316812
\(623\) 6.51822 + 11.2899i 0.261147 + 0.452320i
\(624\) 3.29537 11.8785i 0.131920 0.475519i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −15.1742 26.2824i −0.606481 1.05046i
\(627\) 15.3521 + 59.3846i 0.613103 + 2.37159i
\(628\) 8.65383 0.345326
\(629\) −15.5885 9.00003i −0.621554 0.358855i
\(630\) 9.14403 5.06643i 0.364307 0.201851i
\(631\) 10.5170 + 6.07200i 0.418676 + 0.241723i 0.694511 0.719483i \(-0.255621\pi\)
−0.275835 + 0.961205i \(0.588954\pi\)
\(632\) −4.23619 7.33730i −0.168507 0.291862i
\(633\) −25.2413 + 24.8000i −1.00325 + 0.985713i
\(634\) 1.17626 + 2.03734i 0.0467151 + 0.0809129i
\(635\) −2.34192 −0.0929363
\(636\) −17.0206 4.72192i −0.674912 0.187236i
\(637\) 31.6957 18.2995i 1.25583 0.725053i
\(638\) 25.1293 + 14.5084i 0.994877 + 0.574393i
\(639\) 7.84997 + 0.138463i 0.310540 + 0.00547749i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 1.90290 3.29593i 0.0751602 0.130181i −0.825996 0.563676i \(-0.809387\pi\)
0.901156 + 0.433495i \(0.142720\pi\)
\(642\) 5.82206 5.72027i 0.229778 0.225761i
\(643\) 20.2527i 0.798687i −0.916801 0.399344i \(-0.869238\pi\)
0.916801 0.399344i \(-0.130762\pi\)
\(644\) −12.9288 22.3934i −0.509468 0.882424i
\(645\) −1.60869 6.22268i −0.0633419 0.245018i
\(646\) −13.5637 7.83100i −0.533656 0.308107i
\(647\) 16.2899 0.640422 0.320211 0.947346i \(-0.396246\pi\)
0.320211 + 0.947346i \(0.396246\pi\)
\(648\) 7.63068 + 4.77207i 0.299762 + 0.187465i
\(649\) 38.0387i 1.49315i
\(650\) −7.11706 −0.279154
\(651\) −28.4728 17.8479i −1.11594 0.699514i
\(652\) 10.5145 0.411779
\(653\) 17.8196i 0.697335i −0.937247 0.348667i \(-0.886634\pi\)
0.937247 0.348667i \(-0.113366\pi\)
\(654\) 13.2971 3.43756i 0.519958 0.134419i
\(655\) −11.1507 −0.435694
\(656\) −2.17100 1.25343i −0.0847633 0.0489381i
\(657\) −27.0843 0.477730i −1.05666 0.0186380i
\(658\) 10.3401 + 17.9096i 0.403100 + 0.698190i
\(659\) 41.5819i 1.61980i −0.586567 0.809901i \(-0.699521\pi\)
0.586567 0.809901i \(-0.300479\pi\)
\(660\) −5.54636 5.64505i −0.215892 0.219733i
\(661\) 19.3681 33.5466i 0.753334 1.30481i −0.192865 0.981225i \(-0.561778\pi\)
0.946199 0.323587i \(-0.104889\pi\)
\(662\) 16.7142 28.9498i 0.649614 1.12516i
\(663\) −24.1171 + 6.23474i −0.936630 + 0.242137i
\(664\) 7.87412 + 4.54612i 0.305575 + 0.176424i
\(665\) 23.3894 13.5039i 0.907002 0.523658i
\(666\) 22.9034 + 13.7675i 0.887490 + 0.533480i
\(667\) 47.1260 1.82472
\(668\) −3.17082 5.49202i −0.122683 0.212492i
\(669\) 5.73742 + 5.83952i 0.221822 + 0.225769i
\(670\) 3.08925 + 5.35073i 0.119348 + 0.206717i
\(671\) −8.03970 4.64172i −0.310369 0.179192i
\(672\) −4.22995 4.30521i −0.163174 0.166077i
\(673\) −6.95179 4.01362i −0.267972 0.154714i 0.359994 0.932955i \(-0.382779\pi\)
−0.627966 + 0.778241i \(0.716112\pi\)
\(674\) −20.3539 −0.784004
\(675\) 1.47716 4.98177i 0.0568558 0.191748i
\(676\) −18.8263 32.6080i −0.724087 1.25416i
\(677\) −14.9097 + 25.8244i −0.573028 + 0.992513i 0.423225 + 0.906024i \(0.360898\pi\)
−0.996253 + 0.0864884i \(0.972435\pi\)
\(678\) −12.6002 3.49559i −0.483908 0.134247i
\(679\) −8.99803 15.5850i −0.345313 0.598099i
\(680\) 2.02075 0.0774921
\(681\) −1.06308 + 3.83199i −0.0407375 + 0.146842i
\(682\) −7.25747 + 24.3822i −0.277903 + 0.933643i
\(683\) 30.4194i 1.16397i 0.813201 + 0.581983i \(0.197723\pi\)
−0.813201 + 0.581983i \(0.802277\pi\)
\(684\) 19.9285 + 11.9792i 0.761985 + 0.458037i
\(685\) −7.13410 + 4.11888i −0.272580 + 0.157374i
\(686\) 6.47286i 0.247135i
\(687\) 25.4381 + 25.8907i 0.970523 + 0.987793i
\(688\) −3.21363 + 1.85539i −0.122518 + 0.0707361i
\(689\) −62.8560 + 36.2899i −2.39462 + 1.38254i
\(690\) −12.3850 3.43589i −0.471490 0.130802i
\(691\) −14.7285 + 25.5106i −0.560300 + 0.970467i 0.437170 + 0.899379i \(0.355981\pi\)
−0.997470 + 0.0710887i \(0.977353\pi\)
\(692\) −5.87328 3.39094i −0.223269 0.128904i
\(693\) 41.7795 23.1487i 1.58707 0.879348i
\(694\) −5.90895 + 3.41153i −0.224301 + 0.129500i
\(695\) −3.84772 + 6.66445i −0.145952 + 0.252797i
\(696\) 10.6497 2.75315i 0.403674 0.104358i
\(697\) 5.06572i 0.191878i
\(698\) 22.1151i 0.837070i
\(699\) 34.4445 8.90459i 1.30281 0.336803i
\(700\) −1.74230 + 3.01775i −0.0658527 + 0.114060i
\(701\) 10.4353 6.02480i 0.394134 0.227553i −0.289816 0.957082i \(-0.593594\pi\)
0.683950 + 0.729529i \(0.260261\pi\)
\(702\) 35.9619 8.62322i 1.35729 0.325462i
\(703\) 59.7899 + 34.5197i 2.25502 + 1.30194i
\(704\) −2.28452 + 3.95691i −0.0861013 + 0.149132i
\(705\) 9.90520 + 2.74793i 0.373051 + 0.103493i
\(706\) 13.4130 7.74400i 0.504805 0.291449i
\(707\) 40.3086 23.2722i 1.51596 0.875241i
\(708\) −10.1061 10.2859i −0.379809 0.386568i
\(709\) 13.5805i 0.510025i 0.966938 + 0.255012i \(0.0820795\pi\)
−0.966938 + 0.255012i \(0.917920\pi\)
\(710\) −2.26644 + 1.30853i −0.0850581 + 0.0491083i
\(711\) 13.0948 21.7844i 0.491093 0.816977i
\(712\) 3.74116i 0.140206i
\(713\) 9.59181 + 40.1871i 0.359216 + 1.50502i
\(714\) −3.26038 + 11.7524i −0.122017 + 0.439821i
\(715\) −32.5182 −1.21611
\(716\) 9.95391 + 17.2407i 0.371995 + 0.644314i
\(717\) −12.3970 3.43921i −0.462974 0.128440i
\(718\) 3.50525 6.07127i 0.130815 0.226578i
\(719\) −14.0046 24.2566i −0.522282 0.904619i −0.999664 0.0259233i \(-0.991747\pi\)
0.477382 0.878696i \(-0.341586\pi\)
\(720\) −2.99953 0.0529076i −0.111786 0.00197175i
\(721\) 37.6381 1.40172
\(722\) 35.5692 + 20.5359i 1.32375 + 0.764267i
\(723\) 26.9627 + 27.4425i 1.00275 + 1.02060i
\(724\) −0.510977 0.295013i −0.0189903 0.0109641i
\(725\) −3.17536 5.49989i −0.117930 0.204261i
\(726\) −11.9887 12.2020i −0.444943 0.452860i
\(727\) 5.94479 + 10.2967i 0.220480 + 0.381883i 0.954954 0.296754i \(-0.0959042\pi\)
−0.734474 + 0.678637i \(0.762571\pi\)
\(728\) −24.8001 −0.919153
\(729\) −1.42791 + 26.9622i −0.0528856 + 0.998601i
\(730\) 7.81979 4.51476i 0.289423 0.167099i
\(731\) 6.49393 + 3.74927i 0.240187 + 0.138672i
\(732\) −3.40719 + 0.880825i −0.125933 + 0.0325562i
\(733\) −14.6598 + 25.3916i −0.541474 + 0.937860i 0.457346 + 0.889289i \(0.348800\pi\)
−0.998820 + 0.0485712i \(0.984533\pi\)
\(734\) −0.529587 + 0.917271i −0.0195474 + 0.0338571i
\(735\) −6.24239 6.35347i −0.230254 0.234351i
\(736\) 7.42056i 0.273526i
\(737\) 14.1149 + 24.4478i 0.519930 + 0.900545i
\(738\) 0.132632 7.51939i 0.00488224 0.276793i
\(739\) 17.4177 + 10.0561i 0.640719 + 0.369919i 0.784892 0.619633i \(-0.212719\pi\)
−0.144172 + 0.989553i \(0.546052\pi\)
\(740\) −8.90762 −0.327451
\(741\) 92.5014 23.9134i 3.39812 0.878482i
\(742\) 35.5360i 1.30457i
\(743\) 37.1326 1.36226 0.681131 0.732162i \(-0.261489\pi\)
0.681131 + 0.732162i \(0.261489\pi\)
\(744\) 4.51536 + 8.52124i 0.165541 + 0.312404i
\(745\) 11.5855 0.424460
\(746\) 9.78720i 0.358335i
\(747\) −0.481049 + 27.2725i −0.0176007 + 0.997849i
\(748\) 9.23289 0.337588
\(749\) −14.2206 8.21028i −0.519610 0.299997i
\(750\) 0.433517 + 1.67692i 0.0158298 + 0.0612325i
\(751\) 17.9527 + 31.0951i 0.655105 + 1.13467i 0.981868 + 0.189568i \(0.0607089\pi\)
−0.326763 + 0.945106i \(0.605958\pi\)
\(752\) 5.93476i 0.216418i
\(753\) 32.3738 31.8078i 1.17977 1.15914i
\(754\) 22.5992 39.1430i 0.823016 1.42551i
\(755\) −1.62805 + 2.81986i −0.0592507 + 0.102625i
\(756\) 5.14731 17.3595i 0.187206 0.631358i
\(757\) 45.7000 + 26.3849i 1.66099 + 0.958975i 0.972242 + 0.233977i \(0.0751741\pi\)
0.688751 + 0.724998i \(0.258159\pi\)
\(758\) 5.59198 3.22853i 0.203110 0.117265i
\(759\) −56.5878 15.6988i −2.05401 0.569829i
\(760\) −7.75060 −0.281144
\(761\) 2.24987 + 3.89689i 0.0815578 + 0.141262i 0.903919 0.427703i \(-0.140677\pi\)
−0.822361 + 0.568965i \(0.807344\pi\)
\(762\) −2.89344 + 2.84285i −0.104818 + 0.102986i
\(763\) −13.8155 23.9292i −0.500155 0.866295i
\(764\) 0.0332892 + 0.0192195i 0.00120436 + 0.000695339i
\(765\) 2.93806 + 5.30270i 0.106226 + 0.191719i
\(766\) 11.7515 + 6.78475i 0.424600 + 0.245143i
\(767\) −59.2517 −2.13945
\(768\) 0.433517 + 1.67692i 0.0156432 + 0.0605107i
\(769\) −23.4372 40.5944i −0.845166 1.46387i −0.885477 0.464684i \(-0.846168\pi\)
0.0403101 0.999187i \(-0.487165\pi\)
\(770\) −7.96066 + 13.7883i −0.286882 + 0.496894i
\(771\) −1.02024 + 3.67754i −0.0367429 + 0.132444i
\(772\) −0.826680 1.43185i −0.0297529 0.0515335i
\(773\) −23.1884 −0.834030 −0.417015 0.908900i \(-0.636924\pi\)
−0.417015 + 0.908900i \(0.636924\pi\)
\(774\) −9.54122 5.73533i −0.342952 0.206152i
\(775\) 4.04379 3.82724i 0.145257 0.137479i
\(776\) 5.16445i 0.185393i