Properties

Label 930.2.o.e.161.13
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 161.13
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.3

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-1.23550 - 1.21390i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.21390 - 1.23550i) q^{6} +(-1.74230 - 3.01775i) q^{7} -1.00000i q^{8} +(0.0529076 + 2.99953i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-1.23550 - 1.21390i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.21390 - 1.23550i) q^{6} +(-1.74230 - 3.01775i) q^{7} -1.00000i q^{8} +(0.0529076 + 2.99953i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.28452 + 3.95691i) q^{11} +(1.23550 + 1.21390i) 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} +(-2.99953 + 0.0529076i) q^{18} +(3.87530 + 6.71222i) q^{19} +(0.866025 + 0.500000i) q^{20} +(-1.51063 + 5.84340i) q^{21} +(-3.95691 - 2.28452i) q^{22} +7.42056 q^{23} +(-1.21390 + 1.23550i) 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} +(-0.0529076 - 2.99953i) 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} +(-5.84340 - 1.51063i) q^{42} +(-3.21363 + 1.85539i) q^{43} +(2.28452 - 3.95691i) q^{44} +(1.45395 - 2.62413i) q^{45} +7.42056i q^{46} +5.93476i q^{47} +(-1.23550 - 1.21390i) q^{48} +(-2.57122 + 4.45348i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(0.876028 - 3.38863i) 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} +(3.36002 - 12.9971i) 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} +(-9.16808 - 9.00780i) q^{69} -3.48460 q^{70} +(2.26644 + 1.30853i) q^{71} +(2.99953 - 0.0529076i) q^{72} +(7.81979 + 4.51476i) q^{73} +(4.45381 + 7.71423i) q^{74} +(0.433517 - 1.67692i) 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} +(-8.99440 + 0.317396i) q^{81} +(-1.25343 + 2.17100i) q^{82} +(-4.54612 + 7.87412i) q^{83} +(1.51063 - 5.84340i) q^{84} -2.02075i q^{85} +(-1.85539 - 3.21363i) q^{86} +(-7.84631 - 7.70913i) q^{87} +(3.95691 + 2.28452i) q^{88} +3.74116 q^{89} +(2.62413 + 1.45395i) q^{90} +24.8001i q^{91} -7.42056 q^{92} +(-4.97703 + 8.26009i) q^{93} -5.93476 q^{94} -7.75060i q^{95} +(1.21390 - 1.23550i) q^{96} +5.16445 q^{97} +(-4.45348 - 2.57122i) q^{98} +(-11.9898 - 6.64316i) 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
\(3\) −1.23550 1.21390i −0.713315 0.700844i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.21390 1.23550i 0.495571 0.504390i
\(7\) −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
\(9\) 0.0529076 + 2.99953i 0.0176359 + 0.999844i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −2.28452 + 3.95691i −0.688810 + 1.19305i 0.283413 + 0.958998i \(0.408533\pi\)
−0.972223 + 0.234056i \(0.924800\pi\)
\(12\) 1.23550 + 1.21390i 0.356657 + 0.350422i
\(13\) −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 0.962146 0.272534i \(-0.0878618\pi\)
−0.717095 + 0.696976i \(0.754528\pi\)
\(18\) −2.99953 + 0.0529076i −0.706997 + 0.0124704i
\(19\) 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
\(21\) −1.51063 + 5.84340i −0.329647 + 1.27513i
\(22\) −3.95691 2.28452i −0.843617 0.487062i
\(23\) 7.42056 1.54729 0.773647 0.633617i \(-0.218430\pi\)
0.773647 + 0.633617i \(0.218430\pi\)
\(24\) −1.21390 + 1.23550i −0.247786 + 0.252195i
\(25\) 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 \(-0.299266\pi\)
0.589650 + 0.807659i \(0.299266\pi\)
\(30\) −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
\(36\) −0.0529076 2.99953i −0.00881793 0.499922i
\(37\) 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 0.659853 0.751394i \(-0.270618\pi\)
−0.320800 + 0.947147i \(0.603952\pi\)
\(42\) −5.84340 1.51063i −0.901656 0.233096i
\(43\) −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
\(45\) 1.45395 2.62413i 0.216742 0.391182i
\(46\) 7.42056i 1.09410i
\(47\) 5.93476i 0.865673i 0.901472 + 0.432837i \(0.142487\pi\)
−0.901472 + 0.432837i \(0.857513\pi\)
\(48\) −1.23550 1.21390i −0.178329 0.175211i
\(49\) −2.57122 + 4.45348i −0.367317 + 0.636212i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 0.876028 3.38863i 0.122669 0.474504i
\(52\) 6.16355 + 3.55853i 0.854731 + 0.493479i
\(53\) −5.09901 + 8.83174i −0.700402 + 1.21313i 0.267923 + 0.963440i \(0.413663\pi\)
−0.968325 + 0.249692i \(0.919671\pi\)
\(54\) 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
\(57\) 3.36002 12.9971i 0.445045 1.72151i
\(58\) 6.35073i 0.833891i
\(59\) −7.20993 + 4.16265i −0.938652 + 0.541931i −0.889538 0.456862i \(-0.848973\pi\)
−0.0491148 + 0.998793i \(0.515640\pi\)
\(60\) −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
\(69\) −9.16808 9.00780i −1.10371 1.08441i
\(70\) −3.48460 −0.416489
\(71\) 2.26644 + 1.30853i 0.268977 + 0.155294i 0.628423 0.777872i \(-0.283701\pi\)
−0.359445 + 0.933166i \(0.617034\pi\)
\(72\) 2.99953 0.0529076i 0.353498 0.00623522i
\(73\) 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
\(75\) 0.433517 1.67692i 0.0500582 0.193634i
\(76\) −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
\(81\) −8.99440 + 0.317396i −0.999378 + 0.0352662i
\(82\) −1.25343 + 2.17100i −0.138418 + 0.239747i
\(83\) −4.54612 + 7.87412i −0.499002 + 0.864297i −0.999999 0.00115204i \(-0.999633\pi\)
0.500997 + 0.865449i \(0.332967\pi\)
\(84\) 1.51063 5.84340i 0.164824 0.637567i
\(85\) 2.02075i 0.219181i
\(86\) −1.85539 3.21363i −0.200072 0.346534i
\(87\) −7.84631 7.70913i −0.841212 0.826505i
\(88\) 3.95691 + 2.28452i 0.421808 + 0.243531i
\(89\) 3.74116 0.396562 0.198281 0.980145i \(-0.436464\pi\)
0.198281 + 0.980145i \(0.436464\pi\)
\(90\) 2.62413 + 1.45395i 0.276607 + 0.153260i
\(91\) 24.8001i 2.59976i
\(92\) −7.42056 −0.773647
\(93\) −4.97703 + 8.26009i −0.516094 + 0.856532i
\(94\) −5.93476 −0.612123
\(95\) 7.75060i 0.795195i
\(96\) 1.21390 1.23550i 0.123893 0.126097i
\(97\) 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
\(99\) −11.9898 6.64316i −1.20502 0.667663i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 13.3572i 1.32909i −0.747249 0.664544i \(-0.768626\pi\)
0.747249 0.664544i \(-0.231374\pi\)
\(102\) 3.38863 + 0.876028i 0.335525 + 0.0867397i
\(103\) −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
\(105\) 4.22995 4.30521i 0.412800 0.420146i
\(106\) −8.83174 5.09901i −0.857814 0.495259i
\(107\) −4.08099 + 2.35616i −0.394524 + 0.227779i −0.684119 0.729371i \(-0.739813\pi\)
0.289594 + 0.957149i \(0.406480\pi\)
\(108\) −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
\(111\) −14.9374 3.86161i −1.41779 0.366527i
\(112\) −1.74230 3.01775i −0.164632 0.285151i
\(113\) 6.53805 + 3.77475i 0.615048 + 0.355098i 0.774939 0.632037i \(-0.217781\pi\)
−0.159890 + 0.987135i \(0.551114\pi\)
\(114\) 12.9971 + 3.36002i 1.21729 + 0.314694i
\(115\) −6.42639 3.71028i −0.599264 0.345985i
\(116\) −6.35073 −0.589650
\(117\) 10.3478 18.6761i 0.956657 1.72660i
\(118\) −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
\(129\) 6.22268 + 1.60869i 0.547877 + 0.141637i
\(130\) −6.16355 + 3.55853i −0.540579 + 0.312104i
\(131\) 9.65680 5.57535i 0.843718 0.487121i −0.0148082 0.999890i \(-0.504714\pi\)
0.858526 + 0.512769i \(0.171380\pi\)
\(132\) −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
\(135\) −4.98177 + 1.47716i −0.428762 + 0.127134i
\(136\) 1.75002 1.01037i 0.150063 0.0866388i
\(137\) 4.11888 7.13410i 0.351899 0.609508i −0.634683 0.772773i \(-0.718869\pi\)
0.986582 + 0.163265i \(0.0522026\pi\)
\(138\) 9.00780 9.16808i 0.766795 0.780439i
\(139\) 7.69544i 0.652719i 0.945246 + 0.326359i \(0.105822\pi\)
−0.945246 + 0.326359i \(0.894178\pi\)
\(140\) 3.48460i 0.294502i
\(141\) 7.20418 7.33238i 0.606702 0.617498i
\(142\) −1.30853 + 2.26644i −0.109810 + 0.190196i
\(143\) 28.1616 16.2591i 2.35499 1.35965i
\(144\) 0.0529076 + 2.99953i 0.00440896 + 0.249961i
\(145\) −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 −0.851093 0.525015i \(-0.824060\pi\)
0.0291300 + 0.999576i \(0.490726\pi\)
\(150\) 1.67692 + 0.433517i 0.136920 + 0.0353965i
\(151\) 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
\(162\) −0.317396 8.99440i −0.0249370 0.706667i
\(163\) −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
\(165\) −7.66193 1.98076i −0.596481 0.154202i
\(166\) −7.87412 4.54612i −0.611150 0.352848i
\(167\) −3.17082 5.49202i −0.245365 0.424985i 0.716869 0.697208i \(-0.245575\pi\)
−0.962234 + 0.272223i \(0.912241\pi\)
\(168\) 5.84340 + 1.51063i 0.450828 + 0.116548i
\(169\) 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 0.259829 0.965655i \(-0.416334\pi\)
−0.706367 + 0.707846i \(0.749667\pi\)
\(174\) 7.70913 7.84631i 0.584427 0.594827i
\(175\) 1.74230 3.01775i 0.131705 0.228121i
\(176\) −2.28452 + 3.95691i −0.172203 + 0.298264i
\(177\) 13.9609 + 3.60916i 1.04936 + 0.271281i
\(178\) 3.74116i 0.280412i
\(179\) 9.95391 + 17.2407i 0.743990 + 1.28863i 0.950665 + 0.310219i \(0.100402\pi\)
−0.206675 + 0.978410i \(0.566264\pi\)
\(180\) −1.45395 + 2.62413i −0.108371 + 0.195591i
\(181\) 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
\(183\) −2.46641 + 2.51030i −0.182322 + 0.185566i
\(184\) 7.42056i 0.547051i
\(185\) −8.90762 −0.654901
\(186\) −8.26009 4.97703i −0.605659 0.364934i
\(187\) −9.23289 −0.675176
\(188\) 5.93476i 0.432837i
\(189\) −17.6074 4.22204i −1.28075 0.307108i
\(190\) 7.75060 0.562288
\(191\) 0.0332892 + 0.0192195i 0.00240872 + 0.00139068i 0.501204 0.865329i \(-0.332891\pi\)
−0.498795 + 0.866720i \(0.666224\pi\)
\(192\) 1.23550 + 1.21390i 0.0891643 + 0.0876055i
\(193\) 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
\(195\) 3.08537 11.9347i 0.220948 0.854665i
\(196\) 2.57122 4.45348i 0.183658 0.318106i
\(197\) −5.61969 + 9.73359i −0.400386 + 0.693490i −0.993772 0.111428i \(-0.964457\pi\)
0.593386 + 0.804918i \(0.297791\pi\)
\(198\) 6.64316 11.9898i 0.472109 0.852075i
\(199\) −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
\(204\) −0.876028 + 3.38863i −0.0613343 + 0.237252i
\(205\) −1.25343 2.17100i −0.0875432 0.151629i
\(206\) −9.35418 5.40064i −0.651737 0.376280i
\(207\) 0.392604 + 22.2582i 0.0272879 + 1.54705i
\(208\) −6.16355 3.55853i −0.427366 0.246740i
\(209\) −35.4129 −2.44956
\(210\) 4.30521 + 4.22995i 0.297088 + 0.291894i
\(211\) 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
\(222\) 3.86161 14.9374i 0.259174 1.00253i
\(223\) 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 0.432560 0.901605i \(-0.357610\pi\)
−0.564533 + 0.825411i \(0.690944\pi\)
\(228\) −3.36002 + 12.9971i −0.222523 + 0.860757i
\(229\) 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
\(231\) −19.6707 19.3268i −1.29424 1.27161i
\(232\) 6.35073i 0.416946i
\(233\) 20.5404i 1.34564i 0.739805 + 0.672822i \(0.234918\pi\)
−0.739805 + 0.672822i \(0.765082\pi\)
\(234\) 18.6761 + 10.3478i 1.22089 + 0.676459i
\(235\) 2.96738 5.13965i 0.193570 0.335274i
\(236\) 7.20993 4.16265i 0.469326 0.270966i
\(237\) 14.2075 + 3.67292i 0.922878 + 0.238582i
\(238\) 6.09811 + 3.52075i 0.395282 + 0.228216i
\(239\) 3.71386 6.43260i 0.240230 0.416090i −0.720550 0.693403i \(-0.756111\pi\)
0.960780 + 0.277313i \(0.0894438\pi\)
\(240\) 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
\(243\) 11.4978 + 10.5261i 0.737587 + 0.675252i
\(244\) 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 \(0.143266\pi\)
−0.0734504 + 0.997299i \(0.523401\pi\)
\(252\) −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
\(255\) −2.45298 + 2.49663i −0.153612 + 0.156345i
\(256\) 1.00000 0.0625000
\(257\) −1.90822 1.10171i −0.119032 0.0687229i 0.439302 0.898339i \(-0.355226\pi\)
−0.558334 + 0.829616i \(0.688559\pi\)
\(258\) −1.60869 + 6.22268i −0.100152 + 0.387407i
\(259\) −26.8810 15.5197i −1.67030 0.964350i
\(260\) −3.55853 6.16355i −0.220691 0.382247i
\(261\) 0.336002 + 19.0492i 0.0207980 + 1.17912i
\(262\) 5.57535 + 9.65680i 0.344447 + 0.596599i
\(263\) 26.8127 1.65334 0.826671 0.562685i \(-0.190232\pi\)
0.826671 + 0.562685i \(0.190232\pi\)
\(264\) −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
\(267\) −4.62219 4.54138i −0.282873 0.277928i
\(268\) 3.08925 5.35073i 0.188706 0.326848i
\(269\) −8.44253 + 14.6229i −0.514750 + 0.891574i 0.485103 + 0.874457i \(0.338782\pi\)
−0.999853 + 0.0171168i \(0.994551\pi\)
\(270\) −1.47716 4.98177i −0.0898970 0.303181i
\(271\) 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
\(273\) 30.1048 30.6405i 1.82202 1.85444i
\(274\) 7.13410 + 4.11888i 0.430987 + 0.248830i
\(275\) −4.56905 −0.275524
\(276\) 9.16808 + 9.00780i 0.551854 + 0.542206i
\(277\) 10.7229i 0.644276i 0.946693 + 0.322138i \(0.104401\pi\)
−0.946693 + 0.322138i \(0.895599\pi\)
\(278\) −7.69544 −0.461542
\(279\) 16.1760 4.16372i 0.968433 0.249275i
\(280\) 3.48460 0.208245
\(281\) 5.39706i 0.321961i 0.986958 + 0.160981i \(0.0514657\pi\)
−0.986958 + 0.160981i \(0.948534\pi\)
\(282\) 7.33238 + 7.20418i 0.436637 + 0.429003i
\(283\) 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
\(285\) −9.40843 + 9.57585i −0.557307 + 0.567224i
\(286\) 16.2591 + 28.1616i 0.961421 + 1.66523i
\(287\) 8.73539i 0.515633i
\(288\) −2.99953 + 0.0529076i −0.176749 + 0.00311761i
\(289\) 6.45829 11.1861i 0.379899 0.658005i
\(290\) 3.17536 5.49989i 0.186464 0.322965i
\(291\) −6.38067 6.26911i −0.374041 0.367502i
\(292\) −7.81979 4.51476i −0.457619 0.264206i
\(293\) −1.57186 + 0.907515i −0.0918292 + 0.0530176i −0.545211 0.838299i \(-0.683551\pi\)
0.453382 + 0.891316i \(0.350217\pi\)
\(294\) 2.38107 + 8.58280i 0.138867 + 0.500559i
\(295\) 8.32531 0.484718
\(296\) −4.45381 7.71423i −0.258872 0.448380i
\(297\) 6.74921 + 22.7619i 0.391629 + 1.32078i
\(298\) −5.79275 10.0333i −0.335565 0.581216i
\(299\) −45.7370 26.4063i −2.64504 1.52711i
\(300\) −0.433517 + 1.67692i −0.0250291 + 0.0968171i
\(301\) 11.1982 + 6.46529i 0.645454 + 0.372653i
\(302\) −3.25609 −0.187367
\(303\) −16.2142 + 16.5028i −0.931483 + 0.948058i
\(304\) 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 \(0.0719182\pi\)
−0.974584 + 0.224020i \(0.928082\pi\)
\(312\) 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
\(315\) −10.4522 + 0.184362i −0.588913 + 0.0103876i
\(316\) 7.33730 4.23619i 0.412756 0.238305i
\(317\) 2.03734 1.17626i 0.114428 0.0660651i −0.441694 0.897166i \(-0.645622\pi\)
0.556122 + 0.831101i \(0.312289\pi\)
\(318\) 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
\(321\) 7.90219 + 2.04287i 0.441057 + 0.114022i
\(322\) 22.3934 12.9288i 1.24794 0.720496i
\(323\) −7.83100 + 13.5637i −0.435729 + 0.754704i
\(324\) 8.99440 0.317396i 0.499689 0.0176331i
\(325\) 7.11706i 0.394783i
\(326\) 10.5145i 0.582344i
\(327\) −9.79684 9.62557i −0.541767 0.532295i
\(328\) 1.25343 2.17100i 0.0692089 0.119873i
\(329\) 17.9096 10.3401i 0.987390 0.570070i
\(330\) 1.98076 7.66193i 0.109037 0.421776i
\(331\) 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
\(336\) −1.51063 + 5.84340i −0.0824118 + 0.318783i
\(337\) 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 0.942948 0.332939i \(-0.108040\pi\)
−0.759808 + 0.650148i \(0.774707\pi\)
\(348\) 7.84631 + 7.70913i 0.420606 + 0.413253i
\(349\) −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
\(351\) −35.4555 + 10.5130i −1.89248 + 0.561144i
\(352\) −3.95691 2.28452i −0.210904 0.121766i
\(353\) −7.74400 13.4130i −0.412171 0.713902i 0.582955 0.812504i \(-0.301896\pi\)
−0.995127 + 0.0986022i \(0.968563\pi\)
\(354\) −3.60916 + 13.9609i −0.191825 + 0.742012i
\(355\) −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 0.331155 0.943577i \(-0.392562\pi\)
−0.651584 + 0.758577i \(0.725895\pi\)
\(360\) −2.62413 1.45395i −0.138304 0.0766298i
\(361\) −20.5359 + 35.5692i −1.08084 + 1.87207i
\(362\) −0.295013 + 0.510977i −0.0155055 + 0.0268563i
\(363\) −4.28151 + 16.5616i −0.224721 + 0.869260i
\(364\) 24.8001i 1.29988i
\(365\) −4.51476 7.81979i −0.236313 0.409307i
\(366\) −2.51030 2.46641i −0.131215 0.128921i
\(367\) −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
\(369\) −3.64483 + 6.57830i −0.189743 + 0.342453i
\(370\) 8.90762i 0.463085i
\(371\) 35.5360 1.84494
\(372\) 4.97703 8.26009i 0.258047 0.428266i
\(373\) −9.78720 −0.506762 −0.253381 0.967367i \(-0.581543\pi\)
−0.253381 + 0.967367i \(0.581543\pi\)
\(374\) 9.23289i 0.477422i
\(375\) −1.21390 + 1.23550i −0.0626854 + 0.0638008i
\(376\) 5.93476 0.306062
\(377\) −39.1430 22.5992i −2.01597 1.16392i
\(378\) 4.22204 17.6074i 0.217158 0.905626i
\(379\) 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
\(381\) 3.92721 + 1.01526i 0.201197 + 0.0520135i
\(382\) −0.0192195 + 0.0332892i −0.000983358 + 0.00170323i
\(383\) 6.78475 11.7515i 0.346684 0.600475i −0.638974 0.769228i \(-0.720641\pi\)
0.985658 + 0.168753i \(0.0539742\pi\)
\(384\) −1.21390 + 1.23550i −0.0619464 + 0.0630487i
\(385\) −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 0.996986 0.0775814i \(-0.0247198\pi\)
−0.565681 + 0.824624i \(0.691386\pi\)
\(390\) 11.9347 + 3.08537i 0.604339 + 0.156234i
\(391\) 7.49754 + 12.9861i 0.379167 + 0.656736i
\(392\) 4.45348 + 2.57122i 0.224935 + 0.129866i
\(393\) −18.6989 4.83402i −0.943232 0.243844i
\(394\) −9.73359 5.61969i −0.490371 0.283116i
\(395\) 8.47239 0.426292
\(396\) 11.9898 + 6.64316i 0.602508 + 0.333831i
\(397\) 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 \(-0.554864\pi\)
−0.171509 + 0.985183i \(0.554864\pi\)
\(402\) 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
\(408\) −3.38863 0.876028i −0.167762 0.0433699i
\(409\) 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
\(414\) −22.2582 + 0.392604i −1.09393 + 0.0192954i
\(415\) 7.87412 4.54612i 0.386525 0.223160i
\(416\) 3.55853 6.16355i 0.174471 0.302193i
\(417\) 9.34148 9.50770i 0.457454 0.465594i
\(418\) 35.4129i 1.73210i
\(419\) 1.08088i 0.0528046i −0.999651 0.0264023i \(-0.991595\pi\)
0.999651 0.0264023i \(-0.00840510\pi\)
\(420\) −4.22995 + 4.30521i −0.206400 + 0.210073i
\(421\) 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
\(423\) −17.8015 + 0.313994i −0.865539 + 0.0152669i
\(424\) 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
\(429\) −54.5304 14.0972i −2.63275 0.680619i
\(430\) 3.71078i 0.178950i
\(431\) 6.28123 3.62647i 0.302556 0.174681i −0.341035 0.940051i \(-0.610777\pi\)
0.643591 + 0.765370i \(0.277444\pi\)
\(432\) 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
\(441\) −13.4944 7.47683i −0.642591 0.356040i
\(442\) 14.3818 0.684071
\(443\) 6.93043 + 4.00128i 0.329275 + 0.190107i 0.655519 0.755179i \(-0.272450\pi\)
−0.326244 + 0.945285i \(0.605783\pi\)
\(444\) 14.9374 + 3.86161i 0.708896 + 0.183264i
\(445\) −3.23994 1.87058i −0.153588 0.0886739i
\(446\) 2.36323 + 4.09323i 0.111902 + 0.193820i
\(447\) 19.4280 + 5.02251i 0.918911 + 0.237557i
\(448\) 1.74230 + 3.01775i 0.0823159 + 0.142575i
\(449\) −20.3595 −0.960824 −0.480412 0.877043i \(-0.659513\pi\)
−0.480412 + 0.877043i \(0.659513\pi\)
\(450\) −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
\(453\) 3.95256 4.02290i 0.185708 0.189012i
\(454\) 1.14798 1.98836i 0.0538774 0.0933184i
\(455\) 12.4000 21.4775i 0.581323 1.00688i
\(456\) −12.9971 3.36002i −0.608647 0.157347i
\(457\) 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
\(459\) 10.2107 + 2.44839i 0.476593 + 0.114281i
\(460\) 6.42639 + 3.71028i 0.299632 + 0.172993i
\(461\) 16.9753 0.790617 0.395308 0.918548i \(-0.370638\pi\)
0.395308 + 0.918548i \(0.370638\pi\)
\(462\) 19.3268 19.6707i 0.899166 0.915166i
\(463\) 7.96544i 0.370186i 0.982721 + 0.185093i \(0.0592586\pi\)
−0.982721 + 0.185093i \(0.940741\pi\)
\(464\) 6.35073 0.294825
\(465\) 8.44028 4.66494i 0.391409 0.216331i
\(466\) −20.5404 −0.951513
\(467\) 17.5704i 0.813063i 0.913637 + 0.406532i \(0.133262\pi\)
−0.913637 + 0.406532i \(0.866738\pi\)
\(468\) −10.3478 + 18.6761i −0.478329 + 0.863301i
\(469\) 21.5296 0.994144
\(470\) 5.13965 + 2.96738i 0.237074 + 0.136875i
\(471\) 10.6918 + 10.5049i 0.492652 + 0.484038i
\(472\) 4.16265 + 7.20993i 0.191602 + 0.331864i
\(473\) 16.9547i 0.779579i
\(474\) −3.67292 + 14.2075i −0.168703 + 0.652573i
\(475\) −3.87530 + 6.71222i −0.177811 + 0.307978i
\(476\) −3.52075 + 6.09811i −0.161373 + 0.279507i
\(477\) −26.7609 14.8274i −1.22530 0.678899i
\(478\) 6.43260 + 3.71386i 0.294220 + 0.169868i
\(479\) −34.7418 + 20.0582i −1.58739 + 0.916481i −0.593658 + 0.804718i \(0.702317\pi\)
−0.993735 + 0.111764i \(0.964350\pi\)
\(480\) −1.66901 + 0.463024i −0.0761797 + 0.0211340i
\(481\) −63.3961 −2.89061
\(482\) 11.1059 + 19.2359i 0.505858 + 0.876172i
\(483\) −11.2097 + 43.3613i −0.510061 + 1.97301i
\(484\) 4.93811 + 8.55305i 0.224459 + 0.388775i
\(485\) −4.47255 2.58223i −0.203088 0.117253i
\(486\) −10.5261 + 11.4978i −0.477475 + 0.521553i
\(487\) 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
\(489\) 12.9906 + 12.7635i 0.587457 + 0.577186i
\(490\) 2.57122 + 4.45348i 0.116156 + 0.201188i
\(491\) 5.53082 9.57967i 0.249603 0.432324i −0.713813 0.700336i \(-0.753033\pi\)
0.963416 + 0.268012i \(0.0863667\pi\)
\(492\) 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
\(501\) −2.74921 + 10.6344i −0.122825 + 0.475111i
\(502\) −22.6925 + 13.1015i −1.01282 + 0.584750i
\(503\) −1.02268 + 0.590446i −0.0455991 + 0.0263267i −0.522626 0.852562i \(-0.675048\pi\)
0.477027 + 0.878889i \(0.341714\pi\)
\(504\) −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
\(507\) 16.3230 63.1403i 0.724930 2.80416i
\(508\) 2.02816 1.17096i 0.0899852 0.0519530i
\(509\) −14.3823 + 24.9109i −0.637484 + 1.10416i 0.348498 + 0.937309i \(0.386692\pi\)
−0.985983 + 0.166846i \(0.946642\pi\)
\(510\) −2.49663 2.45298i −0.110553 0.108620i
\(511\) 31.4643i 1.39190i
\(512\) 1.00000i 0.0441942i
\(513\) 39.1631 + 9.39084i 1.72909 + 0.414616i
\(514\) 1.10171 1.90822i 0.0485944 0.0841680i
\(515\) 9.35418 5.40064i 0.412194 0.237981i
\(516\) −6.22268 1.60869i −0.273938 0.0708184i
\(517\) −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 −0.329465 0.944168i \(-0.606869\pi\)
0.652940 + 0.757409i \(0.273535\pi\)
\(522\) −19.0492 + 0.336002i −0.833761 + 0.0147064i
\(523\) 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
\(534\) 4.54138 4.62219i 0.196525 0.200022i
\(535\) 4.71232 0.203731
\(536\) 5.35073 + 3.08925i 0.231117 + 0.133435i
\(537\) 8.63038 33.3838i 0.372428 1.44062i
\(538\) −14.6229 8.44253i −0.630438 0.363983i
\(539\) −11.7480 20.3482i −0.506023 0.876458i
\(540\) 4.98177 1.47716i 0.214381 0.0635668i
\(541\) −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
\(546\) 30.6405 + 30.1048i 1.31129 + 1.28837i
\(547\) −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
\(549\) 6.09448 0.107498i 0.260106 0.00458791i
\(550\) 4.56905i 0.194825i
\(551\) 24.6110 + 42.6275i 1.04846 + 1.81599i
\(552\) −9.00780 + 9.16808i −0.383397 + 0.390220i
\(553\) 25.5676 + 14.7614i 1.08724 + 0.627720i
\(554\) −10.7229 −0.455572
\(555\) 11.0053 + 10.8129i 0.467151 + 0.458984i
\(556\) 7.69544i 0.326359i
\(557\) −29.2677 −1.24011 −0.620056 0.784557i \(-0.712890\pi\)
−0.620056 + 0.784557i \(0.712890\pi\)
\(558\) 4.16372 + 16.1760i 0.176264 + 0.684785i
\(559\) 26.4098 1.11702
\(560\) 3.48460i 0.147251i
\(561\) 11.4072 + 11.2078i 0.481613 + 0.473193i
\(562\) −5.39706 −0.227661
\(563\) 11.1094 + 6.41401i 0.468205 + 0.270318i 0.715488 0.698625i \(-0.246204\pi\)
−0.247283 + 0.968943i \(0.579538\pi\)
\(564\) −7.20418 + 7.33238i −0.303351 + 0.308749i
\(565\) −3.77475 6.53805i −0.158805 0.275058i
\(566\) 1.57973i 0.0664011i
\(567\) 16.6288 + 26.5899i 0.698343 + 1.11667i
\(568\) 1.30853 2.26644i 0.0549048 0.0950979i
\(569\) 11.5367 19.9822i 0.483644 0.837696i −0.516179 0.856481i \(-0.672646\pi\)
0.999824 + 0.0187841i \(0.00597952\pi\)
\(570\) −9.57585 9.40843i −0.401088 0.394076i
\(571\) −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
\(576\) −0.0529076 2.99953i −0.00220448 0.124981i
\(577\) 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
\(579\) 0.716759 2.77255i 0.0297875 0.115223i
\(580\) 5.49989 + 3.17536i 0.228370 + 0.131850i
\(581\) 31.6828 1.31443
\(582\) 6.26911 6.38067i 0.259863 0.264487i
\(583\) −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 \(-0.752716\pi\)
−0.713115 + 0.701047i \(0.752716\pi\)
\(588\) −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 \(0.285773\pi\)
−0.623345 + 0.781947i \(0.714227\pi\)
\(594\) −22.7619 + 6.74921i −0.933934 + 0.276923i
\(595\) −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 0.0176899 0.999844i \(-0.494369\pi\)
−0.857045 + 0.515242i \(0.827702\pi\)
\(600\) −1.67692 0.433517i −0.0684600 0.0176983i
\(601\) 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
\(603\) −16.2132 8.98321i −0.660251 0.365825i
\(604\) 3.25609i 0.132489i
\(605\) 9.87622i 0.401525i
\(606\) −16.5028 16.2142i −0.670378 0.658658i
\(607\) 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
\(609\) −9.59362 + 37.1098i −0.388753 + 1.50377i
\(610\) −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
\(615\) −1.08676 + 4.20380i −0.0438226 + 0.169513i
\(616\) 15.9213i 0.641488i
\(617\) −24.1598 + 13.9487i −0.972638 + 0.561553i −0.900040 0.435808i \(-0.856463\pi\)
−0.0725987 + 0.997361i \(0.523129\pi\)
\(618\) 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
\(627\) 43.7525 + 42.9876i 1.74731 + 1.71676i
\(628\) 8.65383 0.345326
\(629\) 15.5885 + 9.00003i 0.621554 + 0.358855i
\(630\) −0.184362 10.4522i −0.00734515 0.416425i
\(631\) 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
\(633\) 8.85679 34.2596i 0.352026 1.36170i
\(634\) 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
\(639\) −3.80507 + 6.86751i −0.150526 + 0.271674i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −1.90290 + 3.29593i −0.0751602 + 0.130181i −0.901156 0.433495i \(-0.857280\pi\)
0.825996 + 0.563676i \(0.190613\pi\)
\(642\) −2.04287 + 7.90219i −0.0806257 + 0.311875i
\(643\) 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
\(645\) −4.58466 4.50450i −0.180521 0.177365i
\(646\) −13.5637 7.83100i −0.533656 0.308107i
\(647\) −16.2899 −0.640422 −0.320211 0.947346i \(-0.603754\pi\)
−0.320211 + 0.947346i \(0.603754\pi\)
\(648\) 0.317396 + 8.99440i 0.0124685 + 0.353333i
\(649\) 38.0387i 1.49315i
\(650\) 7.11706 0.279154
\(651\) 33.5984 + 0.627886i 1.31683 + 0.0246088i
\(652\) 10.5145 0.411779
\(653\) 17.8196i 0.697335i 0.937247 + 0.348667i \(0.113366\pi\)
−0.937247 + 0.348667i \(0.886634\pi\)
\(654\) 9.62557 9.79684i 0.376389 0.383087i
\(655\) −11.1507 −0.435694
\(656\) 2.17100 + 1.25343i 0.0847633 + 0.0489381i
\(657\) −13.1284 + 23.6946i −0.512189 + 0.924414i
\(658\) 10.3401 + 17.9096i 0.403100 + 0.698190i
\(659\) 41.5819i 1.61980i 0.586567 + 0.809901i \(0.300479\pi\)
−0.586567 + 0.809901i \(0.699521\pi\)
\(660\) 7.66193 + 1.98076i 0.298240 + 0.0771010i
\(661\) 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
\(663\) −17.4580 + 17.7686i −0.678012 + 0.690077i
\(664\) 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
\(669\) −7.92588 2.04900i −0.306432 0.0792188i
\(670\) 3.08925 + 5.35073i 0.119348 + 0.206717i
\(671\) 8.03970 + 4.64172i 0.310369 + 0.179192i
\(672\) −5.84340 1.51063i −0.225414 0.0582740i
\(673\) −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
\(675\) 5.05292 + 1.21163i 0.194487 + 0.0466355i
\(676\) −18.8263 32.6080i −0.724087 1.25416i
\(677\) 14.9097 25.8244i 0.573028 0.992513i −0.423225 0.906024i \(-0.639102\pi\)
0.996253 0.0864884i \(-0.0275645\pi\)
\(678\) 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 \(-0.802277\pi\)
0.813201 0.581983i \(-0.197723\pi\)
\(684\) 19.9285 11.9792i 0.761985 0.458037i
\(685\) −7.13410 + 4.11888i −0.272580 + 0.157374i
\(686\) 6.47286i 0.247135i
\(687\) −35.1411 9.08466i −1.34072 0.346601i
\(688\) −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
\(693\) 0.842358 + 47.7565i 0.0319985 + 1.81412i
\(694\) −5.90895 + 3.41153i −0.224301 + 0.129500i
\(695\) 3.84772 6.66445i 0.145952 0.252797i
\(696\) −7.70913 + 7.84631i −0.292214 + 0.297413i
\(697\) 5.06572i 0.191878i
\(698\) 22.1151i 0.837070i
\(699\) 24.9339 25.3776i 0.943086 0.959867i
\(700\) −1.74230 + 3.01775i −0.0658527 + 0.114060i
\(701\) −10.4353 + 6.02480i −0.394134 + 0.227553i −0.683950 0.729529i \(-0.739739\pi\)
0.289816 + 0.957082i \(0.406406\pi\)
\(702\) −10.5130 35.4555i −0.396788 1.33818i
\(703\) 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
\(708\) −13.9609 3.60916i −0.524682 0.135641i
\(709\) 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 \(0.00825258\pi\)
−0.477382 + 0.878696i \(0.658414\pi\)
\(720\) 1.45395 2.62413i 0.0541854 0.0977954i
\(721\) 37.6381 1.40172
\(722\) −35.5692 20.5359i −1.32375 0.764267i
\(723\) −37.2473 9.62916i −1.38524 0.358112i
\(724\) −0.510977 0.295013i −0.0189903 0.0109641i
\(725\) 3.17536 + 5.49989i 0.117930 + 0.204261i
\(726\) −16.5616 4.28151i −0.614660 0.158902i
\(727\) 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
\(732\) 2.46641 2.51030i 0.0911611 0.0927832i
\(733\) −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
\(735\) −8.62346 2.22933i −0.318081 0.0822302i
\(736\) 7.42056i 0.273526i
\(737\) −14.1149 24.4478i −0.519930 0.900545i
\(738\) −6.57830 3.64483i −0.242151 0.134168i
\(739\) 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
\(741\) −66.9604 + 68.1519i −2.45985 + 2.50362i
\(742\) 35.5360i 1.30457i
\(743\) −37.1326 −1.36226 −0.681131 0.732162i \(-0.738511\pi\)
−0.681131 + 0.732162i \(0.738511\pi\)
\(744\) 8.26009 + 4.97703i 0.302830 + 0.182467i
\(745\) 11.5855 0.424460
\(746\) 9.78720i 0.358335i
\(747\) −23.8592 13.2197i −0.872963 0.483682i
\(748\) 9.23289 0.337588
\(749\) 14.2206 + 8.21028i 0.519610 + 0.299997i
\(750\) −1.23550 1.21390i −0.0451140 0.0443253i
\(751\) 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
\(753\) 11.3595 43.9404i 0.413962 1.60128i
\(754\) 22.5992 39.1430i 0.823016 1.42551i
\(755\) 1.62805 2.81986i 0.0592507 0.102625i
\(756\) 17.6074 + 4.22204i 0.640375 + 0.153554i
\(757\) 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 0.822361 0.568965i \(-0.192656\pi\)
−0.903919 + 0.427703i \(0.859323\pi\)
\(762\) −1.01526 + 3.92721i −0.0367791 + 0.142268i
\(763\) −13.8155 23.9292i −0.500155 0.866295i
\(764\) −0.0332892 0.0192195i −0.00120436 0.000695339i
\(765\) 6.06130 0.106913i 0.219147 0.00386544i
\(766\) 11.7515 + 6.78475i 0.424600 + 0.245143i
\(767\) 59.2517 2.13945
\(768\) −1.23550 1.21390i −0.0445822 0.0438027i
\(769\) −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 \(-0.363076\pi\)
0.417015 + 0.908900i \(0.363076\pi\)
\(774\) 9.54122 5.73533i 0.342952 0.206152i
\(775\) 4.04379 3.82724i 0.145257 0.137479i
\(776\)