Properties

Label 390.2.s.c.77.11
Level $390$
Weight $2$
Character 390.77
Analytic conductor $3.114$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.s (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.11
Character \(\chi\) \(=\) 390.77
Dual form 390.2.s.c.233.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(1.14719 + 1.29768i) q^{3} +1.00000i q^{4} +(-2.23605 + 0.00995019i) q^{5} +(-0.106413 + 1.72878i) q^{6} +(-1.03162 + 1.03162i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.367928 + 2.97735i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(1.14719 + 1.29768i) q^{3} +1.00000i q^{4} +(-2.23605 + 0.00995019i) q^{5} +(-0.106413 + 1.72878i) q^{6} +(-1.03162 + 1.03162i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.367928 + 2.97735i) q^{9} +(-1.58816 - 1.57409i) q^{10} -3.70213 q^{11} +(-1.29768 + 1.14719i) q^{12} +(1.20959 + 3.39660i) q^{13} -1.45893 q^{14} +(-2.57807 - 2.89025i) q^{15} -1.00000 q^{16} +(1.82396 - 1.82396i) q^{17} +(-2.36547 + 1.84514i) q^{18} +6.37656 q^{19} +(-0.00995019 - 2.23605i) q^{20} +(-2.52217 - 0.155249i) q^{21} +(-2.61780 - 2.61780i) q^{22} +(3.59028 + 3.59028i) q^{23} +(-1.72878 - 0.106413i) q^{24} +(4.99980 - 0.0444982i) q^{25} +(-1.54645 + 3.25707i) q^{26} +(-4.28572 + 2.93813i) q^{27} +(-1.03162 - 1.03162i) q^{28} -0.495771 q^{29} +(0.220742 - 3.86669i) q^{30} -2.88858i q^{31} +(-0.707107 - 0.707107i) q^{32} +(-4.24703 - 4.80417i) q^{33} +2.57947 q^{34} +(2.29649 - 2.31702i) q^{35} +(-2.97735 - 0.367928i) q^{36} +(2.07537 - 2.07537i) q^{37} +(4.50891 + 4.50891i) q^{38} +(-3.02006 + 5.46619i) q^{39} +(1.57409 - 1.58816i) q^{40} -1.65794 q^{41} +(-1.67367 - 1.89322i) q^{42} +(8.68616 - 8.68616i) q^{43} -3.70213i q^{44} +(0.793079 - 6.66116i) q^{45} +5.07742i q^{46} +(2.79640 + 2.79640i) q^{47} +(-1.14719 - 1.29768i) q^{48} +4.87151i q^{49} +(3.56686 + 3.50393i) q^{50} +(4.45933 + 0.274489i) q^{51} +(-3.39660 + 1.20959i) q^{52} +(-5.90440 - 5.90440i) q^{53} +(-5.10803 - 0.952895i) q^{54} +(8.27814 - 0.0368369i) q^{55} -1.45893i q^{56} +(7.31510 + 8.27471i) q^{57} +(-0.350563 - 0.350563i) q^{58} -0.692553i q^{59} +(2.89025 - 2.57807i) q^{60} -12.0684 q^{61} +(2.04253 - 2.04253i) q^{62} +(-2.69194 - 3.45107i) q^{63} -1.00000i q^{64} +(-2.73849 - 7.58292i) q^{65} +(0.393954 - 6.40017i) q^{66} +(-6.79503 + 6.79503i) q^{67} +(1.82396 + 1.82396i) q^{68} +(-0.540302 + 8.77773i) q^{69} +(3.26224 - 0.0145167i) q^{70} +4.41216 q^{71} +(-1.84514 - 2.36547i) q^{72} +(8.02368 + 8.02368i) q^{73} +2.93502 q^{74} +(5.79345 + 6.43708i) q^{75} +6.37656i q^{76} +(3.81920 - 3.81920i) q^{77} +(-6.00069 + 1.72967i) q^{78} +6.09995i q^{79} +(2.23605 - 0.00995019i) q^{80} +(-8.72926 - 2.19090i) q^{81} +(-1.17234 - 1.17234i) q^{82} +(4.84469 - 4.84469i) q^{83} +(0.155249 - 2.52217i) q^{84} +(-4.06031 + 4.09661i) q^{85} +12.2841 q^{86} +(-0.568742 - 0.643350i) q^{87} +(2.61780 - 2.61780i) q^{88} -2.66725i q^{89} +(5.27094 - 4.14936i) q^{90} +(-4.75185 - 2.25617i) q^{91} +(-3.59028 + 3.59028i) q^{92} +(3.74844 - 3.31373i) q^{93} +3.95471i q^{94} +(-14.2583 + 0.0634480i) q^{95} +(0.106413 - 1.72878i) q^{96} +(6.98302 - 6.98302i) q^{97} +(-3.44468 + 3.44468i) q^{98} +(1.36212 - 11.0226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 4 q^{3} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 4 q^{3} + 12 q^{9} + 4 q^{10} - 8 q^{12} - 8 q^{13} + 16 q^{14} - 24 q^{16} - 52 q^{17} + 16 q^{22} + 16 q^{23} + 16 q^{25} - 56 q^{27} + 80 q^{29} + 8 q^{30} - 20 q^{35} + 16 q^{38} + 32 q^{39} - 48 q^{42} + 28 q^{43} - 4 q^{48} - 20 q^{51} - 8 q^{52} - 72 q^{53} + 24 q^{55} - 64 q^{61} + 32 q^{62} + 12 q^{65} + 8 q^{66} - 52 q^{68} + 16 q^{69} + 120 q^{74} + 24 q^{75} - 32 q^{77} - 64 q^{78} + 12 q^{81} + 32 q^{82} - 16 q^{88} - 44 q^{90} + 64 q^{91} - 16 q^{92} - 96 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) 1.14719 + 1.29768i 0.662328 + 0.749214i
\(4\) 1.00000i 0.500000i
\(5\) −2.23605 + 0.00995019i −0.999990 + 0.00444986i
\(6\) −0.106413 + 1.72878i −0.0434428 + 0.705771i
\(7\) −1.03162 + 1.03162i −0.389917 + 0.389917i −0.874658 0.484741i \(-0.838914\pi\)
0.484741 + 0.874658i \(0.338914\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −0.367928 + 2.97735i −0.122643 + 0.992451i
\(10\) −1.58816 1.57409i −0.502220 0.497770i
\(11\) −3.70213 −1.11623 −0.558117 0.829762i \(-0.688476\pi\)
−0.558117 + 0.829762i \(0.688476\pi\)
\(12\) −1.29768 + 1.14719i −0.374607 + 0.331164i
\(13\) 1.20959 + 3.39660i 0.335480 + 0.942047i
\(14\) −1.45893 −0.389917
\(15\) −2.57807 2.89025i −0.665656 0.746259i
\(16\) −1.00000 −0.250000
\(17\) 1.82396 1.82396i 0.442376 0.442376i −0.450434 0.892810i \(-0.648731\pi\)
0.892810 + 0.450434i \(0.148731\pi\)
\(18\) −2.36547 + 1.84514i −0.557547 + 0.434904i
\(19\) 6.37656 1.46288 0.731442 0.681904i \(-0.238848\pi\)
0.731442 + 0.681904i \(0.238848\pi\)
\(20\) −0.00995019 2.23605i −0.00222493 0.499995i
\(21\) −2.52217 0.155249i −0.550384 0.0338781i
\(22\) −2.61780 2.61780i −0.558117 0.558117i
\(23\) 3.59028 + 3.59028i 0.748624 + 0.748624i 0.974221 0.225596i \(-0.0724331\pi\)
−0.225596 + 0.974221i \(0.572433\pi\)
\(24\) −1.72878 0.106413i −0.352886 0.0217214i
\(25\) 4.99980 0.0444982i 0.999960 0.00889964i
\(26\) −1.54645 + 3.25707i −0.303284 + 0.638764i
\(27\) −4.28572 + 2.93813i −0.824788 + 0.565443i
\(28\) −1.03162 1.03162i −0.194958 0.194958i
\(29\) −0.495771 −0.0920624 −0.0460312 0.998940i \(-0.514657\pi\)
−0.0460312 + 0.998940i \(0.514657\pi\)
\(30\) 0.220742 3.86669i 0.0403018 0.705957i
\(31\) 2.88858i 0.518803i −0.965770 0.259402i \(-0.916475\pi\)
0.965770 0.259402i \(-0.0835254\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −4.24703 4.80417i −0.739314 0.836298i
\(34\) 2.57947 0.442376
\(35\) 2.29649 2.31702i 0.388178 0.391648i
\(36\) −2.97735 0.367928i −0.496225 0.0613214i
\(37\) 2.07537 2.07537i 0.341189 0.341189i −0.515625 0.856814i \(-0.672440\pi\)
0.856814 + 0.515625i \(0.172440\pi\)
\(38\) 4.50891 + 4.50891i 0.731442 + 0.731442i
\(39\) −3.02006 + 5.46619i −0.483597 + 0.875291i
\(40\) 1.57409 1.58816i 0.248885 0.251110i
\(41\) −1.65794 −0.258927 −0.129463 0.991584i \(-0.541325\pi\)
−0.129463 + 0.991584i \(0.541325\pi\)
\(42\) −1.67367 1.89322i −0.258253 0.292131i
\(43\) 8.68616 8.68616i 1.32463 1.32463i 0.414643 0.909984i \(-0.363906\pi\)
0.909984 0.414643i \(-0.136094\pi\)
\(44\) 3.70213i 0.558117i
\(45\) 0.793079 6.66116i 0.118225 0.992987i
\(46\) 5.07742i 0.748624i
\(47\) 2.79640 + 2.79640i 0.407897 + 0.407897i 0.881005 0.473108i \(-0.156868\pi\)
−0.473108 + 0.881005i \(0.656868\pi\)
\(48\) −1.14719 1.29768i −0.165582 0.187303i
\(49\) 4.87151i 0.695930i
\(50\) 3.56686 + 3.50393i 0.504430 + 0.495530i
\(51\) 4.45933 + 0.274489i 0.624432 + 0.0384361i
\(52\) −3.39660 + 1.20959i −0.471024 + 0.167740i
\(53\) −5.90440 5.90440i −0.811031 0.811031i 0.173757 0.984788i \(-0.444409\pi\)
−0.984788 + 0.173757i \(0.944409\pi\)
\(54\) −5.10803 0.952895i −0.695115 0.129673i
\(55\) 8.27814 0.0368369i 1.11622 0.00496709i
\(56\) 1.45893i 0.194958i
\(57\) 7.31510 + 8.27471i 0.968909 + 1.09601i
\(58\) −0.350563 0.350563i −0.0460312 0.0460312i
\(59\) 0.692553i 0.0901628i −0.998983 0.0450814i \(-0.985645\pi\)
0.998983 0.0450814i \(-0.0143547\pi\)
\(60\) 2.89025 2.57807i 0.373130 0.332828i
\(61\) −12.0684 −1.54520 −0.772601 0.634892i \(-0.781045\pi\)
−0.772601 + 0.634892i \(0.781045\pi\)
\(62\) 2.04253 2.04253i 0.259402 0.259402i
\(63\) −2.69194 3.45107i −0.339153 0.434793i
\(64\) 1.00000i 0.125000i
\(65\) −2.73849 7.58292i −0.339668 0.940545i
\(66\) 0.393954 6.40017i 0.0484924 0.787806i
\(67\) −6.79503 + 6.79503i −0.830145 + 0.830145i −0.987536 0.157391i \(-0.949692\pi\)
0.157391 + 0.987536i \(0.449692\pi\)
\(68\) 1.82396 + 1.82396i 0.221188 + 0.221188i
\(69\) −0.540302 + 8.77773i −0.0650447 + 1.05671i
\(70\) 3.26224 0.0145167i 0.389913 0.00173507i
\(71\) 4.41216 0.523627 0.261813 0.965119i \(-0.415680\pi\)
0.261813 + 0.965119i \(0.415680\pi\)
\(72\) −1.84514 2.36547i −0.217452 0.278773i
\(73\) 8.02368 + 8.02368i 0.939101 + 0.939101i 0.998249 0.0591482i \(-0.0188385\pi\)
−0.0591482 + 0.998249i \(0.518838\pi\)
\(74\) 2.93502 0.341189
\(75\) 5.79345 + 6.43708i 0.668970 + 0.743290i
\(76\) 6.37656i 0.731442i
\(77\) 3.81920 3.81920i 0.435238 0.435238i
\(78\) −6.00069 + 1.72967i −0.679444 + 0.195847i
\(79\) 6.09995i 0.686298i 0.939281 + 0.343149i \(0.111494\pi\)
−0.939281 + 0.343149i \(0.888506\pi\)
\(80\) 2.23605 0.00995019i 0.249998 0.00111247i
\(81\) −8.72926 2.19090i −0.969918 0.243434i
\(82\) −1.17234 1.17234i −0.129463 0.129463i
\(83\) 4.84469 4.84469i 0.531774 0.531774i −0.389326 0.921100i \(-0.627292\pi\)
0.921100 + 0.389326i \(0.127292\pi\)
\(84\) 0.155249 2.52217i 0.0169391 0.275192i
\(85\) −4.06031 + 4.09661i −0.440403 + 0.444340i
\(86\) 12.2841 1.32463
\(87\) −0.568742 0.643350i −0.0609755 0.0689744i
\(88\) 2.61780 2.61780i 0.279059 0.279059i
\(89\) 2.66725i 0.282728i −0.989958 0.141364i \(-0.954851\pi\)
0.989958 0.141364i \(-0.0451488\pi\)
\(90\) 5.27094 4.14936i 0.555606 0.437381i
\(91\) −4.75185 2.25617i −0.498129 0.236511i
\(92\) −3.59028 + 3.59028i −0.374312 + 0.374312i
\(93\) 3.74844 3.31373i 0.388695 0.343618i
\(94\) 3.95471i 0.407897i
\(95\) −14.2583 + 0.0634480i −1.46287 + 0.00650963i
\(96\) 0.106413 1.72878i 0.0108607 0.176443i
\(97\) 6.98302 6.98302i 0.709019 0.709019i −0.257310 0.966329i \(-0.582836\pi\)
0.966329 + 0.257310i \(0.0828362\pi\)
\(98\) −3.44468 + 3.44468i −0.347965 + 0.347965i
\(99\) 1.36212 11.0226i 0.136898 1.10781i
\(100\) 0.0444982 + 4.99980i 0.00444982 + 0.499980i
\(101\) 15.5880i 1.55106i 0.631309 + 0.775531i \(0.282518\pi\)
−0.631309 + 0.775531i \(0.717482\pi\)
\(102\) 2.95913 + 3.34732i 0.292998 + 0.331434i
\(103\) 4.08174 4.08174i 0.402185 0.402185i −0.476817 0.879003i \(-0.658210\pi\)
0.879003 + 0.476817i \(0.158210\pi\)
\(104\) −3.25707 1.54645i −0.319382 0.151642i
\(105\) 5.64124 + 0.322048i 0.550529 + 0.0314287i
\(106\) 8.35008i 0.811031i
\(107\) 10.6375 10.6375i 1.02836 1.02836i 0.0287790 0.999586i \(-0.490838\pi\)
0.999586 0.0287790i \(-0.00916189\pi\)
\(108\) −2.93813 4.28572i −0.282721 0.412394i
\(109\) 12.9928 1.24448 0.622242 0.782825i \(-0.286222\pi\)
0.622242 + 0.782825i \(0.286222\pi\)
\(110\) 5.87957 + 5.82748i 0.560595 + 0.555628i
\(111\) 5.07400 + 0.312323i 0.481603 + 0.0296444i
\(112\) 1.03162 1.03162i 0.0974791 0.0974791i
\(113\) −5.71439 5.71439i −0.537565 0.537565i 0.385248 0.922813i \(-0.374116\pi\)
−0.922813 + 0.385248i \(0.874116\pi\)
\(114\) −0.678547 + 11.0237i −0.0635518 + 1.03246i
\(115\) −8.06375 7.99230i −0.751948 0.745286i
\(116\) 0.495771i 0.0460312i
\(117\) −10.5579 + 2.35167i −0.976080 + 0.217412i
\(118\) 0.489709 0.489709i 0.0450814 0.0450814i
\(119\) 3.76328i 0.344979i
\(120\) 3.86669 + 0.220742i 0.352979 + 0.0201509i
\(121\) 2.70578 0.245980
\(122\) −8.53366 8.53366i −0.772601 0.772601i
\(123\) −1.90197 2.15147i −0.171495 0.193992i
\(124\) 2.88858 0.259402
\(125\) −11.1793 + 0.149249i −0.999911 + 0.0133492i
\(126\) 0.536783 4.34376i 0.0478204 0.386973i
\(127\) −13.1211 13.1211i −1.16431 1.16431i −0.983522 0.180786i \(-0.942136\pi\)
−0.180786 0.983522i \(-0.557864\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 21.2365 + 1.30718i 1.86977 + 0.115091i
\(130\) 3.42553 7.29834i 0.300438 0.640107i
\(131\) 11.4677i 1.00193i −0.865466 0.500967i \(-0.832978\pi\)
0.865466 0.500967i \(-0.167022\pi\)
\(132\) 4.80417 4.24703i 0.418149 0.369657i
\(133\) −6.57820 + 6.57820i −0.570402 + 0.570402i
\(134\) −9.60963 −0.830145
\(135\) 9.55384 6.61243i 0.822263 0.569107i
\(136\) 2.57947i 0.221188i
\(137\) 9.53679 + 9.53679i 0.814783 + 0.814783i 0.985347 0.170564i \(-0.0545589\pi\)
−0.170564 + 0.985347i \(0.554559\pi\)
\(138\) −6.58885 + 5.82474i −0.560880 + 0.495835i
\(139\) 2.09695i 0.177861i −0.996038 0.0889305i \(-0.971655\pi\)
0.996038 0.0889305i \(-0.0283449\pi\)
\(140\) 2.31702 + 2.29649i 0.195824 + 0.194089i
\(141\) −0.420831 + 6.83681i −0.0354404 + 0.575763i
\(142\) 3.11987 + 3.11987i 0.261813 + 0.261813i
\(143\) −4.47806 12.5747i −0.374474 1.05155i
\(144\) 0.367928 2.97735i 0.0306607 0.248113i
\(145\) 1.10857 0.00493302i 0.0920615 0.000409665i
\(146\) 11.3472i 0.939101i
\(147\) −6.32164 + 5.58853i −0.521400 + 0.460934i
\(148\) 2.07537 + 2.07537i 0.170595 + 0.170595i
\(149\) 21.4810i 1.75980i 0.475163 + 0.879898i \(0.342389\pi\)
−0.475163 + 0.879898i \(0.657611\pi\)
\(150\) −0.455115 + 8.64829i −0.0371600 + 0.706130i
\(151\) 4.31897i 0.351473i 0.984437 + 0.175736i \(0.0562306\pi\)
−0.984437 + 0.175736i \(0.943769\pi\)
\(152\) −4.50891 + 4.50891i −0.365721 + 0.365721i
\(153\) 4.75949 + 6.10166i 0.384782 + 0.493290i
\(154\) 5.40117 0.435238
\(155\) 0.0287419 + 6.45899i 0.00230860 + 0.518798i
\(156\) −5.46619 3.02006i −0.437645 0.241799i
\(157\) −2.78660 2.78660i −0.222395 0.222395i 0.587111 0.809506i \(-0.300265\pi\)
−0.809506 + 0.587111i \(0.800265\pi\)
\(158\) −4.31332 + 4.31332i −0.343149 + 0.343149i
\(159\) 0.888554 14.4354i 0.0704669 1.14480i
\(160\) 1.58816 + 1.57409i 0.125555 + 0.124443i
\(161\) −7.40762 −0.583802
\(162\) −4.62331 7.72172i −0.363242 0.606676i
\(163\) −13.8871 13.8871i −1.08772 1.08772i −0.995763 0.0919595i \(-0.970687\pi\)
−0.0919595 0.995763i \(-0.529313\pi\)
\(164\) 1.65794i 0.129463i
\(165\) 9.54436 + 10.7001i 0.743028 + 0.833000i
\(166\) 6.85143 0.531774
\(167\) −13.3857 13.3857i −1.03582 1.03582i −0.999334 0.0364854i \(-0.988384\pi\)
−0.0364854 0.999334i \(-0.511616\pi\)
\(168\) 1.89322 1.67367i 0.146065 0.129126i
\(169\) −10.0738 + 8.21698i −0.774907 + 0.632075i
\(170\) −5.76782 + 0.0256662i −0.442371 + 0.00196851i
\(171\) −2.34612 + 18.9853i −0.179412 + 1.45184i
\(172\) 8.68616 + 8.68616i 0.662314 + 0.662314i
\(173\) 0.386807 + 0.386807i 0.0294084 + 0.0294084i 0.721658 0.692250i \(-0.243380\pi\)
−0.692250 + 0.721658i \(0.743380\pi\)
\(174\) 0.0527564 0.857079i 0.00399945 0.0649750i
\(175\) −5.11200 + 5.20381i −0.386431 + 0.393371i
\(176\) 3.70213 0.279059
\(177\) 0.898710 0.794488i 0.0675512 0.0597173i
\(178\) 1.88603 1.88603i 0.141364 0.141364i
\(179\) 23.6190 1.76537 0.882684 0.469967i \(-0.155734\pi\)
0.882684 + 0.469967i \(0.155734\pi\)
\(180\) 6.66116 + 0.793079i 0.496493 + 0.0591126i
\(181\) −10.1453 −0.754094 −0.377047 0.926194i \(-0.623061\pi\)
−0.377047 + 0.926194i \(0.623061\pi\)
\(182\) −1.76471 4.95542i −0.130809 0.367320i
\(183\) −13.8447 15.6609i −1.02343 1.15769i
\(184\) −5.07742 −0.374312
\(185\) −4.61998 + 4.66128i −0.339667 + 0.342704i
\(186\) 4.99371 + 0.307381i 0.366156 + 0.0225383i
\(187\) −6.75254 + 6.75254i −0.493795 + 0.493795i
\(188\) −2.79640 + 2.79640i −0.203948 + 0.203948i
\(189\) 1.39021 7.45228i 0.101123 0.542074i
\(190\) −10.1270 10.0373i −0.734689 0.728180i
\(191\) 15.5138i 1.12254i 0.827632 + 0.561271i \(0.189688\pi\)
−0.827632 + 0.561271i \(0.810312\pi\)
\(192\) 1.29768 1.14719i 0.0936517 0.0827910i
\(193\) 5.80655 + 5.80655i 0.417965 + 0.417965i 0.884502 0.466537i \(-0.154499\pi\)
−0.466537 + 0.884502i \(0.654499\pi\)
\(194\) 9.87549 0.709019
\(195\) 6.69861 12.2527i 0.479698 0.877434i
\(196\) −4.87151 −0.347965
\(197\) −8.00755 8.00755i −0.570514 0.570514i 0.361758 0.932272i \(-0.382177\pi\)
−0.932272 + 0.361758i \(0.882177\pi\)
\(198\) 8.75728 6.83096i 0.622353 0.485455i
\(199\) 11.1959i 0.793656i −0.917893 0.396828i \(-0.870111\pi\)
0.917893 0.396828i \(-0.129889\pi\)
\(200\) −3.50393 + 3.56686i −0.247765 + 0.252215i
\(201\) −16.6129 1.02259i −1.17179 0.0721277i
\(202\) −11.0224 + 11.0224i −0.775531 + 0.775531i
\(203\) 0.511449 0.511449i 0.0358966 0.0358966i
\(204\) −0.274489 + 4.45933i −0.0192180 + 0.312216i
\(205\) 3.70723 0.0164968i 0.258924 0.00115219i
\(206\) 5.77245 0.402185
\(207\) −12.0105 + 9.36856i −0.834786 + 0.651160i
\(208\) −1.20959 3.39660i −0.0838699 0.235512i
\(209\) −23.6069 −1.63292
\(210\) 3.76124 + 4.21668i 0.259550 + 0.290979i
\(211\) 3.34994 0.230619 0.115310 0.993330i \(-0.463214\pi\)
0.115310 + 0.993330i \(0.463214\pi\)
\(212\) 5.90440 5.90440i 0.405516 0.405516i
\(213\) 5.06156 + 5.72555i 0.346813 + 0.392308i
\(214\) 15.0437 1.02836
\(215\) −19.3362 + 19.5091i −1.31872 + 1.33051i
\(216\) 0.952895 5.10803i 0.0648363 0.347558i
\(217\) 2.97992 + 2.97992i 0.202290 + 0.202290i
\(218\) 9.18729 + 9.18729i 0.622242 + 0.622242i
\(219\) −1.20749 + 19.6168i −0.0815944 + 1.32558i
\(220\) 0.0368369 + 8.27814i 0.00248354 + 0.558112i
\(221\) 8.40151 + 3.98902i 0.565147 + 0.268331i
\(222\) 3.36701 + 3.80871i 0.225979 + 0.255624i
\(223\) 8.84969 + 8.84969i 0.592619 + 0.592619i 0.938338 0.345719i \(-0.112365\pi\)
−0.345719 + 0.938338i \(0.612365\pi\)
\(224\) 1.45893 0.0974791
\(225\) −1.70708 + 14.9025i −0.113805 + 0.993503i
\(226\) 8.08137i 0.537565i
\(227\) −7.63136 7.63136i −0.506511 0.506511i 0.406942 0.913454i \(-0.366595\pi\)
−0.913454 + 0.406942i \(0.866595\pi\)
\(228\) −8.27471 + 7.31510i −0.548006 + 0.484454i
\(229\) −23.0299 −1.52186 −0.760929 0.648836i \(-0.775256\pi\)
−0.760929 + 0.648836i \(0.775256\pi\)
\(230\) −0.0505213 11.3533i −0.00333128 0.748617i
\(231\) 9.33742 + 0.574753i 0.614357 + 0.0378160i
\(232\) 0.350563 0.350563i 0.0230156 0.0230156i
\(233\) 19.7471 + 19.7471i 1.29368 + 1.29368i 0.932495 + 0.361182i \(0.117627\pi\)
0.361182 + 0.932495i \(0.382373\pi\)
\(234\) −9.12846 5.80270i −0.596746 0.379334i
\(235\) −6.28070 6.22505i −0.409708 0.406078i
\(236\) 0.692553 0.0450814
\(237\) −7.91576 + 6.99778i −0.514184 + 0.454554i
\(238\) −2.66104 + 2.66104i −0.172490 + 0.172490i
\(239\) 2.46770i 0.159622i −0.996810 0.0798112i \(-0.974568\pi\)
0.996810 0.0798112i \(-0.0254317\pi\)
\(240\) 2.57807 + 2.89025i 0.166414 + 0.186565i
\(241\) 21.2063i 1.36602i −0.730410 0.683009i \(-0.760671\pi\)
0.730410 0.683009i \(-0.239329\pi\)
\(242\) 1.91327 + 1.91327i 0.122990 + 0.122990i
\(243\) −7.17100 13.8411i −0.460020 0.887909i
\(244\) 12.0684i 0.772601i
\(245\) −0.0484725 10.8929i −0.00309679 0.695923i
\(246\) 0.176426 2.86621i 0.0112485 0.182743i
\(247\) 7.71302 + 21.6586i 0.490768 + 1.37811i
\(248\) 2.04253 + 2.04253i 0.129701 + 0.129701i
\(249\) 11.8446 + 0.729079i 0.750621 + 0.0462035i
\(250\) −8.01052 7.79945i −0.506630 0.493281i
\(251\) 21.0780i 1.33043i −0.746651 0.665216i \(-0.768339\pi\)
0.746651 0.665216i \(-0.231661\pi\)
\(252\) 3.45107 2.69194i 0.217397 0.169576i
\(253\) −13.2917 13.2917i −0.835640 0.835640i
\(254\) 18.5560i 1.16431i
\(255\) −9.97401 0.569398i −0.624597 0.0356571i
\(256\) 1.00000 0.0625000
\(257\) 8.49660 8.49660i 0.530003 0.530003i −0.390570 0.920573i \(-0.627722\pi\)
0.920573 + 0.390570i \(0.127722\pi\)
\(258\) 14.0921 + 15.9408i 0.877338 + 0.992429i
\(259\) 4.28200i 0.266071i
\(260\) 7.58292 2.73849i 0.470273 0.169834i
\(261\) 0.182408 1.47609i 0.0112908 0.0913674i
\(262\) 8.10886 8.10886i 0.500967 0.500967i
\(263\) 12.5564 + 12.5564i 0.774263 + 0.774263i 0.978849 0.204585i \(-0.0655846\pi\)
−0.204585 + 0.978849i \(0.565585\pi\)
\(264\) 6.40017 + 0.393954i 0.393903 + 0.0242462i
\(265\) 13.2612 + 13.1437i 0.814632 + 0.807414i
\(266\) −9.30298 −0.570402
\(267\) 3.46123 3.05983i 0.211824 0.187259i
\(268\) −6.79503 6.79503i −0.415073 0.415073i
\(269\) −17.2259 −1.05028 −0.525140 0.851016i \(-0.675987\pi\)
−0.525140 + 0.851016i \(0.675987\pi\)
\(270\) 11.4313 + 2.07989i 0.695685 + 0.126578i
\(271\) 9.68987i 0.588617i −0.955710 0.294309i \(-0.904911\pi\)
0.955710 0.294309i \(-0.0950894\pi\)
\(272\) −1.82396 + 1.82396i −0.110594 + 0.110594i
\(273\) −2.52348 8.75461i −0.152728 0.529853i
\(274\) 13.4871i 0.814783i
\(275\) −18.5099 + 0.164738i −1.11619 + 0.00993408i
\(276\) −8.77773 0.540302i −0.528357 0.0325224i
\(277\) −15.4074 15.4074i −0.925743 0.925743i 0.0716840 0.997427i \(-0.477163\pi\)
−0.997427 + 0.0716840i \(0.977163\pi\)
\(278\) 1.48277 1.48277i 0.0889305 0.0889305i
\(279\) 8.60031 + 1.06279i 0.514887 + 0.0636275i
\(280\) 0.0145167 + 3.26224i 0.000867537 + 0.194956i
\(281\) 10.7797 0.643064 0.321532 0.946899i \(-0.395802\pi\)
0.321532 + 0.946899i \(0.395802\pi\)
\(282\) −5.13193 + 4.53678i −0.305602 + 0.270161i
\(283\) −4.45748 + 4.45748i −0.264970 + 0.264970i −0.827069 0.562100i \(-0.809994\pi\)
0.562100 + 0.827069i \(0.309994\pi\)
\(284\) 4.41216i 0.261813i
\(285\) −16.4392 18.4298i −0.973776 1.09169i
\(286\) 5.72516 12.0581i 0.338536 0.713010i
\(287\) 1.71037 1.71037i 0.100960 0.100960i
\(288\) 2.36547 1.84514i 0.139387 0.108726i
\(289\) 10.3463i 0.608608i
\(290\) 0.787363 + 0.780387i 0.0462356 + 0.0458259i
\(291\) 17.0725 + 1.05088i 1.00081 + 0.0616035i
\(292\) −8.02368 + 8.02368i −0.469550 + 0.469550i
\(293\) 6.26863 6.26863i 0.366217 0.366217i −0.499878 0.866096i \(-0.666622\pi\)
0.866096 + 0.499878i \(0.166622\pi\)
\(294\) −8.42177 0.518391i −0.491167 0.0302332i
\(295\) 0.00689104 + 1.54858i 0.000401212 + 0.0901619i
\(296\) 2.93502i 0.170595i
\(297\) 15.8663 10.8773i 0.920657 0.631167i
\(298\) −15.1894 + 15.1894i −0.879898 + 0.879898i
\(299\) −7.85198 + 16.5375i −0.454091 + 0.956388i
\(300\) −6.43708 + 5.79345i −0.371645 + 0.334485i
\(301\) 17.9217i 1.03299i
\(302\) −3.05397 + 3.05397i −0.175736 + 0.175736i
\(303\) −20.2282 + 17.8823i −1.16208 + 1.02731i
\(304\) −6.37656 −0.365721
\(305\) 26.9855 0.120083i 1.54519 0.00687593i
\(306\) −0.949060 + 7.67999i −0.0542541 + 0.439036i
\(307\) 18.3933 18.3933i 1.04976 1.04976i 0.0510636 0.998695i \(-0.483739\pi\)
0.998695 0.0510636i \(-0.0162611\pi\)
\(308\) 3.81920 + 3.81920i 0.217619 + 0.217619i
\(309\) 9.97928 + 0.614262i 0.567702 + 0.0349441i
\(310\) −4.54687 + 4.58752i −0.258245 + 0.260553i
\(311\) 1.77908i 0.100882i 0.998727 + 0.0504412i \(0.0160627\pi\)
−0.998727 + 0.0504412i \(0.983937\pi\)
\(312\) −1.72967 6.00069i −0.0979233 0.339722i
\(313\) −14.6637 + 14.6637i −0.828840 + 0.828840i −0.987356 0.158516i \(-0.949329\pi\)
0.158516 + 0.987356i \(0.449329\pi\)
\(314\) 3.94085i 0.222395i
\(315\) 6.05364 + 7.68996i 0.341084 + 0.433280i
\(316\) −6.09995 −0.343149
\(317\) 7.54686 + 7.54686i 0.423874 + 0.423874i 0.886535 0.462661i \(-0.153105\pi\)
−0.462661 + 0.886535i \(0.653105\pi\)
\(318\) 10.8357 9.57909i 0.607636 0.537169i
\(319\) 1.83541 0.102763
\(320\) 0.00995019 + 2.23605i 0.000556233 + 0.124999i
\(321\) 26.0072 + 1.60084i 1.45158 + 0.0893501i
\(322\) −5.23798 5.23798i −0.291901 0.291901i
\(323\) 11.6306 11.6306i 0.647144 0.647144i
\(324\) 2.19090 8.72926i 0.121717 0.484959i
\(325\) 6.19885 + 16.9285i 0.343850 + 0.939025i
\(326\) 19.6393i 1.08772i
\(327\) 14.9051 + 16.8604i 0.824257 + 0.932384i
\(328\) 1.17234 1.17234i 0.0647317 0.0647317i
\(329\) −5.76965 −0.318091
\(330\) −0.817216 + 14.3150i −0.0449863 + 0.788014i
\(331\) 4.18973i 0.230288i −0.993349 0.115144i \(-0.963267\pi\)
0.993349 0.115144i \(-0.0367330\pi\)
\(332\) 4.84469 + 4.84469i 0.265887 + 0.265887i
\(333\) 5.41553 + 6.94270i 0.296769 + 0.380458i
\(334\) 18.9303i 1.03582i
\(335\) 15.1264 15.2616i 0.826443 0.833831i
\(336\) 2.52217 + 0.155249i 0.137596 + 0.00846954i
\(337\) 15.4822 + 15.4822i 0.843371 + 0.843371i 0.989296 0.145925i \(-0.0466157\pi\)
−0.145925 + 0.989296i \(0.546616\pi\)
\(338\) −12.9335 1.31296i −0.703491 0.0714157i
\(339\) 0.859961 13.9709i 0.0467067 0.758795i
\(340\) −4.09661 4.06031i −0.222170 0.220201i
\(341\) 10.6939i 0.579106i
\(342\) −15.0836 + 11.7657i −0.815626 + 0.636214i
\(343\) −12.2469 12.2469i −0.661271 0.661271i
\(344\) 12.2841i 0.662314i
\(345\) 1.12080 19.6328i 0.0603418 1.05699i
\(346\) 0.547027i 0.0294084i
\(347\) 9.96769 9.96769i 0.535094 0.535094i −0.386990 0.922084i \(-0.626485\pi\)
0.922084 + 0.386990i \(0.126485\pi\)
\(348\) 0.643350 0.568742i 0.0344872 0.0304878i
\(349\) −24.7426 −1.32444 −0.662220 0.749309i \(-0.730386\pi\)
−0.662220 + 0.749309i \(0.730386\pi\)
\(350\) −7.29438 + 0.0649199i −0.389901 + 0.00347012i
\(351\) −15.1636 11.0030i −0.809373 0.587295i
\(352\) 2.61780 + 2.61780i 0.139529 + 0.139529i
\(353\) 4.17093 4.17093i 0.221996 0.221996i −0.587342 0.809339i \(-0.699826\pi\)
0.809339 + 0.587342i \(0.199826\pi\)
\(354\) 1.19727 + 0.0736965i 0.0636343 + 0.00391692i
\(355\) −9.86578 + 0.0439018i −0.523621 + 0.00233007i
\(356\) 2.66725 0.141364
\(357\) −4.88352 + 4.31718i −0.258463 + 0.228489i
\(358\) 16.7012 + 16.7012i 0.882684 + 0.882684i
\(359\) 2.55214i 0.134697i −0.997730 0.0673485i \(-0.978546\pi\)
0.997730 0.0673485i \(-0.0214539\pi\)
\(360\) 4.14936 + 5.27094i 0.218690 + 0.277803i
\(361\) 21.6605 1.14003
\(362\) −7.17381 7.17381i −0.377047 0.377047i
\(363\) 3.10403 + 3.51122i 0.162919 + 0.184291i
\(364\) 2.25617 4.75185i 0.118255 0.249064i
\(365\) −18.0212 17.8615i −0.943271 0.934913i
\(366\) 1.28423 20.8636i 0.0671279 1.09056i
\(367\) 13.0614 + 13.0614i 0.681800 + 0.681800i 0.960406 0.278605i \(-0.0898722\pi\)
−0.278605 + 0.960406i \(0.589872\pi\)
\(368\) −3.59028 3.59028i −0.187156 0.187156i
\(369\) 0.610003 4.93627i 0.0317555 0.256972i
\(370\) −6.56284 + 0.0292040i −0.341186 + 0.00151824i
\(371\) 12.1822 0.632469
\(372\) 3.31373 + 3.74844i 0.171809 + 0.194347i
\(373\) 12.4877 12.4877i 0.646591 0.646591i −0.305577 0.952167i \(-0.598849\pi\)
0.952167 + 0.305577i \(0.0988492\pi\)
\(374\) −9.54954 −0.493795
\(375\) −13.0185 14.3360i −0.672271 0.740305i
\(376\) −3.95471 −0.203948
\(377\) −0.599679 1.68394i −0.0308851 0.0867271i
\(378\) 6.25259 4.28653i 0.321598 0.220475i
\(379\) −1.70213 −0.0874324 −0.0437162 0.999044i \(-0.513920\pi\)
−0.0437162 + 0.999044i \(0.513920\pi\)
\(380\) −0.0634480 14.2583i −0.00325481 0.731434i
\(381\) 1.97460 32.0793i 0.101162 1.64347i
\(382\) −10.9699 + 10.9699i −0.561271 + 0.561271i
\(383\) 24.8875 24.8875i 1.27169 1.27169i 0.326494 0.945199i \(-0.394133\pi\)
0.945199 0.326494i \(-0.105867\pi\)
\(384\) 1.72878 + 0.106413i 0.0882214 + 0.00543035i
\(385\) −8.50191 + 8.57791i −0.433297 + 0.437171i
\(386\) 8.21170i 0.417965i
\(387\) 22.6659 + 29.0576i 1.15217 + 1.47708i
\(388\) 6.98302 + 6.98302i 0.354509 + 0.354509i
\(389\) 18.6976 0.948005 0.474002 0.880524i \(-0.342809\pi\)
0.474002 + 0.880524i \(0.342809\pi\)
\(390\) 13.4006 3.92733i 0.678566 0.198868i
\(391\) 13.0971 0.662346
\(392\) −3.44468 3.44468i −0.173983 0.173983i
\(393\) 14.8813 13.1555i 0.750663 0.663609i
\(394\) 11.3244i 0.570514i
\(395\) −0.0606957 13.6398i −0.00305393 0.686291i
\(396\) 11.0226 + 1.36212i 0.553904 + 0.0684490i
\(397\) 6.85449 6.85449i 0.344017 0.344017i −0.513858 0.857875i \(-0.671784\pi\)
0.857875 + 0.513858i \(0.171784\pi\)
\(398\) 7.91669 7.91669i 0.396828 0.396828i
\(399\) −16.0828 0.989956i −0.805147 0.0495598i
\(400\) −4.99980 + 0.0444982i −0.249990 + 0.00222491i
\(401\) −19.0194 −0.949781 −0.474891 0.880045i \(-0.657512\pi\)
−0.474891 + 0.880045i \(0.657512\pi\)
\(402\) −11.0240 12.4702i −0.549829 0.621956i
\(403\) 9.81134 3.49399i 0.488737 0.174048i
\(404\) −15.5880 −0.775531
\(405\) 19.5408 + 4.81210i 0.970991 + 0.239115i
\(406\) 0.723297 0.0358966
\(407\) −7.68330 + 7.68330i −0.380847 + 0.380847i
\(408\) −3.34732 + 2.95913i −0.165717 + 0.146499i
\(409\) −22.4228 −1.10874 −0.554368 0.832272i \(-0.687040\pi\)
−0.554368 + 0.832272i \(0.687040\pi\)
\(410\) 2.63307 + 2.60974i 0.130038 + 0.128886i
\(411\) −1.43519 + 23.3161i −0.0707929 + 1.15010i
\(412\) 4.08174 + 4.08174i 0.201093 + 0.201093i
\(413\) 0.714453 + 0.714453i 0.0351560 + 0.0351560i
\(414\) −15.1173 1.86812i −0.742973 0.0918133i
\(415\) −10.7847 + 10.8812i −0.529402 + 0.534135i
\(416\) 1.54645 3.25707i 0.0758210 0.159691i
\(417\) 2.72116 2.40559i 0.133256 0.117802i
\(418\) −16.6926 16.6926i −0.816460 0.816460i
\(419\) −0.535876 −0.0261792 −0.0130896 0.999914i \(-0.504167\pi\)
−0.0130896 + 0.999914i \(0.504167\pi\)
\(420\) −0.322048 + 5.64124i −0.0157143 + 0.275264i
\(421\) 23.5915i 1.14978i −0.818231 0.574890i \(-0.805045\pi\)
0.818231 0.574890i \(-0.194955\pi\)
\(422\) 2.36877 + 2.36877i 0.115310 + 0.115310i
\(423\) −9.35474 + 7.29699i −0.454843 + 0.354792i
\(424\) 8.35008 0.405516
\(425\) 9.03828 9.20061i 0.438421 0.446295i
\(426\) −0.469510 + 7.62764i −0.0227478 + 0.369561i
\(427\) 12.4500 12.4500i 0.602500 0.602500i
\(428\) 10.6375 + 10.6375i 0.514182 + 0.514182i
\(429\) 11.1807 20.2365i 0.539808 0.977030i
\(430\) −27.4678 + 0.122229i −1.32461 + 0.00589441i
\(431\) 15.0604 0.725432 0.362716 0.931900i \(-0.381849\pi\)
0.362716 + 0.931900i \(0.381849\pi\)
\(432\) 4.28572 2.93813i 0.206197 0.141361i
\(433\) 8.41585 8.41585i 0.404440 0.404440i −0.475355 0.879794i \(-0.657680\pi\)
0.879794 + 0.475355i \(0.157680\pi\)
\(434\) 4.21424i 0.202290i
\(435\) 1.27813 + 1.43290i 0.0612818 + 0.0687024i
\(436\) 12.9928i 0.622242i
\(437\) 22.8936 + 22.8936i 1.09515 + 1.09515i
\(438\) −14.7250 + 13.0174i −0.703587 + 0.621993i
\(439\) 35.6347i 1.70075i −0.526176 0.850376i \(-0.676375\pi\)
0.526176 0.850376i \(-0.323625\pi\)
\(440\) −5.82748 + 5.87957i −0.277814 + 0.280298i
\(441\) −14.5042 1.79237i −0.690676 0.0853508i
\(442\) 3.12010 + 8.76143i 0.148408 + 0.416739i
\(443\) 13.8316 + 13.8316i 0.657158 + 0.657158i 0.954707 0.297549i \(-0.0961691\pi\)
−0.297549 + 0.954707i \(0.596169\pi\)
\(444\) −0.312323 + 5.07400i −0.0148222 + 0.240801i
\(445\) 0.0265397 + 5.96409i 0.00125810 + 0.282725i
\(446\) 12.5153i 0.592619i
\(447\) −27.8755 + 24.6428i −1.31846 + 1.16556i
\(448\) 1.03162 + 1.03162i 0.0487396 + 0.0487396i
\(449\) 17.9365i 0.846477i −0.906018 0.423239i \(-0.860893\pi\)
0.906018 0.423239i \(-0.139107\pi\)
\(450\) −11.7448 + 9.33060i −0.553654 + 0.439849i
\(451\) 6.13791 0.289023
\(452\) 5.71439 5.71439i 0.268782 0.268782i
\(453\) −5.60462 + 4.95466i −0.263328 + 0.232790i
\(454\) 10.7924i 0.506511i
\(455\) 10.6478 + 4.99762i 0.499176 + 0.234292i
\(456\) −11.0237 0.678547i −0.516230 0.0317759i
\(457\) 23.6112 23.6112i 1.10449 1.10449i 0.110624 0.993862i \(-0.464715\pi\)
0.993862 0.110624i \(-0.0352850\pi\)
\(458\) −16.2846 16.2846i −0.760929 0.760929i
\(459\) −2.45796 + 13.1760i −0.114728 + 0.615004i
\(460\) 7.99230 8.06375i 0.372643 0.375974i
\(461\) −25.8095 −1.20207 −0.601035 0.799223i \(-0.705245\pi\)
−0.601035 + 0.799223i \(0.705245\pi\)
\(462\) 6.19614 + 7.00897i 0.288271 + 0.326087i
\(463\) 20.9097 + 20.9097i 0.971756 + 0.971756i 0.999612 0.0278563i \(-0.00886808\pi\)
−0.0278563 + 0.999612i \(0.508868\pi\)
\(464\) 0.495771 0.0230156
\(465\) −8.34870 + 7.44696i −0.387162 + 0.345344i
\(466\) 27.9267i 1.29368i
\(467\) 3.81021 3.81021i 0.176315 0.176315i −0.613432 0.789747i \(-0.710212\pi\)
0.789747 + 0.613432i \(0.210212\pi\)
\(468\) −2.35167 10.5579i −0.108706 0.488040i
\(469\) 14.0198i 0.647375i
\(470\) −0.0393501 8.84290i −0.00181508 0.407893i
\(471\) 0.419356 6.81285i 0.0193229 0.313920i
\(472\) 0.489709 + 0.489709i 0.0225407 + 0.0225407i
\(473\) −32.1573 + 32.1573i −1.47859 + 1.47859i
\(474\) −10.5455 0.649112i −0.484369 0.0298147i
\(475\) 31.8815 0.283745i 1.46283 0.0130191i
\(476\) −3.76328 −0.172490
\(477\) 19.7519 15.4071i 0.904376 0.705441i
\(478\) 1.74493 1.74493i 0.0798112 0.0798112i
\(479\) 11.7705i 0.537807i 0.963167 + 0.268903i \(0.0866612\pi\)
−0.963167 + 0.268903i \(0.913339\pi\)
\(480\) −0.220742 + 3.86669i −0.0100754 + 0.176489i
\(481\) 9.55956 + 4.53886i 0.435878 + 0.206954i
\(482\) 14.9951 14.9951i 0.683009 0.683009i
\(483\) −8.49792 9.61269i −0.386669 0.437393i
\(484\) 2.70578i 0.122990i
\(485\) −15.5449 + 15.6838i −0.705857 + 0.712167i
\(486\) 4.71649 14.8578i 0.213944 0.673964i
\(487\) 3.51182 3.51182i 0.159136 0.159136i −0.623048 0.782184i \(-0.714106\pi\)
0.782184 + 0.623048i \(0.214106\pi\)
\(488\) 8.53366 8.53366i 0.386300 0.386300i
\(489\) 2.08988 33.9521i 0.0945074 1.53537i
\(490\) 7.66818 7.73673i 0.346413 0.349510i
\(491\) 32.8608i 1.48299i 0.670960 + 0.741494i \(0.265882\pi\)
−0.670960 + 0.741494i \(0.734118\pi\)
\(492\) 2.15147 1.90197i 0.0969958 0.0857473i
\(493\) −0.904267 + 0.904267i −0.0407262 + 0.0407262i
\(494\) −9.86104 + 20.7689i −0.443669 + 0.934436i
\(495\) −2.93608 + 24.6605i −0.131967 + 1.10841i
\(496\) 2.88858i 0.129701i
\(497\) −4.55168 + 4.55168i −0.204171 + 0.204171i
\(498\) 7.85986 + 8.89094i 0.352209 + 0.398412i
\(499\) −18.0149 −0.806460 −0.403230 0.915099i \(-0.632112\pi\)
−0.403230 + 0.915099i \(0.632112\pi\)
\(500\) −0.149249 11.1793i −0.00667462 0.499955i
\(501\) 2.01442 32.7263i 0.0899978 1.46210i
\(502\) 14.9044 14.9044i 0.665216 0.665216i
\(503\) 2.42308 + 2.42308i 0.108040 + 0.108040i 0.759060 0.651020i \(-0.225659\pi\)
−0.651020 + 0.759060i \(0.725659\pi\)
\(504\) 4.34376 + 0.536783i 0.193487 + 0.0239102i
\(505\) −0.155103 34.8554i −0.00690201 1.55105i
\(506\) 18.7973i 0.835640i
\(507\) −22.2195 3.64611i −0.986802 0.161929i
\(508\) 13.1211 13.1211i 0.582154 0.582154i
\(509\) 3.24224i 0.143710i −0.997415 0.0718550i \(-0.977108\pi\)
0.997415 0.0718550i \(-0.0228919\pi\)
\(510\) −6.65006 7.45531i −0.294470 0.330127i
\(511\) −16.5548 −0.732342
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −27.3282 + 18.7351i −1.20657 + 0.827176i
\(514\) 12.0160 0.530003
\(515\) −9.08633 + 9.16756i −0.400392 + 0.403971i
\(516\) −1.30718 + 21.2365i −0.0575455 + 0.934883i
\(517\) −10.3526 10.3526i −0.455308 0.455308i
\(518\) −3.02783 + 3.02783i −0.133035 + 0.133035i
\(519\) −0.0582106 + 0.945689i −0.00255516 + 0.0415111i
\(520\) 7.29834 + 3.42553i 0.320053 + 0.150219i
\(521\) 22.6886i 0.994006i 0.867749 + 0.497003i \(0.165566\pi\)
−0.867749 + 0.497003i \(0.834434\pi\)
\(522\) 1.17273 0.914768i 0.0513291 0.0400383i
\(523\) −31.3120 + 31.3120i −1.36918 + 1.36918i −0.507563 + 0.861615i \(0.669453\pi\)
−0.861615 + 0.507563i \(0.830547\pi\)
\(524\) 11.4677 0.500967
\(525\) −12.6173 0.663983i −0.550663 0.0289786i
\(526\) 17.7575i 0.774263i
\(527\) −5.26865 5.26865i −0.229506 0.229506i
\(528\) 4.24703 + 4.80417i 0.184828 + 0.209075i
\(529\) 2.78017i 0.120877i
\(530\) 0.0830849 + 18.6712i 0.00360898 + 0.811023i
\(531\) 2.06198 + 0.254810i 0.0894821 + 0.0110578i
\(532\) −6.57820 6.57820i −0.285201 0.285201i
\(533\) −2.00543 5.63136i −0.0868647 0.243921i
\(534\) 4.61109 + 0.283829i 0.199541 + 0.0122825i
\(535\) −23.6801 + 23.8918i −1.02378 + 1.03293i
\(536\) 9.60963i 0.415073i
\(537\) 27.0954 + 30.6498i 1.16925 + 1.32264i
\(538\) −12.1805 12.1805i −0.525140 0.525140i
\(539\) 18.0350i 0.776821i
\(540\) 6.61243 + 9.55384i 0.284554 + 0.411132i
\(541\) 23.3486i 1.00383i 0.864916 + 0.501916i \(0.167371\pi\)
−0.864916 + 0.501916i \(0.832629\pi\)
\(542\) 6.85177 6.85177i 0.294309 0.294309i
\(543\) −11.6386 13.1653i −0.499458 0.564978i
\(544\) −2.57947 −0.110594
\(545\) −29.0525 + 0.129281i −1.24447 + 0.00553778i
\(546\) 4.40608 7.97481i 0.188563 0.341290i
\(547\) 0.00983851 + 0.00983851i 0.000420664 + 0.000420664i 0.707317 0.706896i \(-0.249905\pi\)
−0.706896 + 0.707317i \(0.749905\pi\)
\(548\) −9.53679 + 9.53679i −0.407391 + 0.407391i
\(549\) 4.44031 35.9319i 0.189508 1.53354i
\(550\) −13.2050 12.9720i −0.563062 0.553128i
\(551\) −3.16131 −0.134677
\(552\) −5.82474 6.58885i −0.247918 0.280440i
\(553\) −6.29284 6.29284i −0.267599 0.267599i
\(554\) 21.7894i 0.925743i
\(555\) −11.3488 0.647882i −0.481730 0.0275011i
\(556\) 2.09695 0.0889305
\(557\) 20.4431 + 20.4431i 0.866200 + 0.866200i 0.992049 0.125849i \(-0.0401655\pi\)
−0.125849 + 0.992049i \(0.540165\pi\)
\(558\) 5.32983 + 6.83284i 0.225630 + 0.289257i
\(559\) 40.0101 + 18.9967i 1.69225 + 0.803476i
\(560\) −2.29649 + 2.31702i −0.0970444 + 0.0979119i
\(561\) −16.5090 1.01619i −0.697012 0.0429037i
\(562\) 7.62241 + 7.62241i 0.321532 + 0.321532i
\(563\) −4.05212 4.05212i −0.170777 0.170777i 0.616544 0.787321i \(-0.288532\pi\)
−0.787321 + 0.616544i \(0.788532\pi\)
\(564\) −6.83681 0.420831i −0.287882 0.0177202i
\(565\) 12.8345 + 12.7208i 0.539952 + 0.535167i
\(566\) −6.30383 −0.264970
\(567\) 11.2655 6.74511i 0.473106 0.283268i
\(568\) −3.11987 + 3.11987i −0.130907 + 0.130907i
\(569\) −21.1653 −0.887297 −0.443648 0.896201i \(-0.646316\pi\)
−0.443648 + 0.896201i \(0.646316\pi\)
\(570\) 1.40757 24.6562i 0.0589568 1.03273i
\(571\) 2.14561 0.0897912 0.0448956 0.998992i \(-0.485704\pi\)
0.0448956 + 0.998992i \(0.485704\pi\)
\(572\) 12.5747 4.47806i 0.525773 0.187237i
\(573\) −20.1320 + 17.7973i −0.841024 + 0.743492i
\(574\) 2.41883 0.100960
\(575\) 18.1104 + 17.7909i 0.755257 + 0.741932i
\(576\) 2.97735 + 0.367928i 0.124056 + 0.0153303i
\(577\) −20.9845 + 20.9845i −0.873597 + 0.873597i −0.992862 0.119266i \(-0.961946\pi\)
0.119266 + 0.992862i \(0.461946\pi\)
\(578\) −7.31596 + 7.31596i −0.304304 + 0.304304i
\(579\) −0.873829 + 14.1962i −0.0363151 + 0.589974i
\(580\) 0.00493302 + 1.10857i 0.000204832 + 0.0460307i
\(581\) 9.99578i 0.414695i
\(582\) 11.3290 + 12.8152i 0.469603 + 0.531207i
\(583\) 21.8588 + 21.8588i 0.905301 + 0.905301i
\(584\) −11.3472 −0.469550
\(585\) 23.5846 5.36349i 0.975103 0.221753i
\(586\) 8.86519 0.366217
\(587\) −25.6210 25.6210i −1.05749 1.05749i −0.998243 0.0592474i \(-0.981130\pi\)
−0.0592474 0.998243i \(-0.518870\pi\)
\(588\) −5.58853 6.32164i −0.230467 0.260700i
\(589\) 18.4192i 0.758949i
\(590\) −1.09014 + 1.09988i −0.0448803 + 0.0452815i
\(591\) 1.20506 19.5774i 0.0495695 0.805305i
\(592\) −2.07537 + 2.07537i −0.0852973 + 0.0852973i
\(593\) −33.6720 + 33.6720i −1.38274 + 1.38274i −0.543033 + 0.839712i \(0.682724\pi\)
−0.839712 + 0.543033i \(0.817276\pi\)
\(594\) 18.9106 + 3.52774i 0.775912 + 0.144745i
\(595\) −0.0374453 8.41486i −0.00153511 0.344976i
\(596\) −21.4810 −0.879898
\(597\) 14.5286 12.8438i 0.594618 0.525661i
\(598\) −17.2460 + 6.14159i −0.705240 + 0.251148i
\(599\) 28.6778 1.17174 0.585871 0.810404i \(-0.300753\pi\)
0.585871 + 0.810404i \(0.300753\pi\)
\(600\) −8.64829 0.455115i −0.353065 0.0185800i
\(601\) 35.1548 1.43399 0.716997 0.697077i \(-0.245516\pi\)
0.716997 + 0.697077i \(0.245516\pi\)
\(602\) −12.6725 + 12.6725i −0.516494 + 0.516494i
\(603\) −17.7311 22.7313i −0.722067 0.925690i
\(604\) −4.31897 −0.175736
\(605\) −6.05024 + 0.0269230i −0.245977 + 0.00109458i
\(606\) −26.9482 1.65876i −1.09469 0.0673825i
\(607\) 3.38326 + 3.38326i 0.137322 + 0.137322i 0.772426 0.635104i \(-0.219043\pi\)
−0.635104 + 0.772426i \(0.719043\pi\)
\(608\) −4.50891 4.50891i −0.182860 0.182860i
\(609\) 1.25042 + 0.0769681i 0.0506696 + 0.00311890i
\(610\) 19.1666 + 18.9967i 0.776031 + 0.769155i
\(611\) −6.11576 + 12.8807i −0.247417 + 0.521099i
\(612\) −6.10166 + 4.75949i −0.246645 + 0.192391i
\(613\) 20.5151 + 20.5151i 0.828596 + 0.828596i 0.987323 0.158727i \(-0.0507388\pi\)
−0.158727 + 0.987323i \(0.550739\pi\)
\(614\) 26.0120 1.04976
\(615\) 4.27429 + 4.79186i 0.172356 + 0.193227i
\(616\) 5.40117i 0.217619i
\(617\) −4.49927 4.49927i −0.181134 0.181134i 0.610716 0.791850i \(-0.290882\pi\)
−0.791850 + 0.610716i \(0.790882\pi\)
\(618\) 6.62207 + 7.49077i 0.266379 + 0.301323i
\(619\) −5.23035 −0.210226 −0.105113 0.994460i \(-0.533520\pi\)
−0.105113 + 0.994460i \(0.533520\pi\)
\(620\) −6.45899 + 0.0287419i −0.259399 + 0.00115430i
\(621\) −25.9356 4.83824i −1.04076 0.194152i
\(622\) −1.25800 + 1.25800i −0.0504412 + 0.0504412i
\(623\) 2.75159 + 2.75159i 0.110240 + 0.110240i
\(624\) 3.02006 5.46619i 0.120899 0.218823i
\(625\) 24.9960 0.444964i 0.999842 0.0177986i
\(626\) −20.7376 −0.828840
\(627\) −27.0815 30.6341i −1.08153 1.22341i
\(628\) 2.78660 2.78660i 0.111197 0.111197i
\(629\) 7.57080i 0.301867i
\(630\) −1.15705 + 9.71819i −0.0460980 + 0.387182i
\(631\) 31.1770i 1.24114i −0.784152 0.620568i \(-0.786902\pi\)
0.784152 0.620568i \(-0.213098\pi\)
\(632\) −4.31332 4.31332i −0.171574 0.171574i
\(633\) 3.84301 + 4.34714i 0.152746 + 0.172783i
\(634\) 10.6729i 0.423874i
\(635\) 29.4699 + 29.2088i 1.16948 + 1.15912i
\(636\) 14.4354 + 0.888554i 0.572402 + 0.0352335i
\(637\) −16.5466 + 5.89253i −0.655599 + 0.233470i
\(638\) 1.29783 + 1.29783i 0.0513816 + 0.0513816i
\(639\) −1.62336 + 13.1365i −0.0642190 + 0.519674i
\(640\) −1.57409 + 1.58816i −0.0622213 + 0.0627775i
\(641\) 4.46954i 0.176536i −0.996097 0.0882681i \(-0.971867\pi\)
0.996097 0.0882681i \(-0.0281332\pi\)
\(642\) 17.2579 + 19.5218i 0.681115 + 0.770465i
\(643\) 9.58366 + 9.58366i 0.377943 + 0.377943i 0.870359 0.492417i \(-0.163886\pi\)
−0.492417 + 0.870359i \(0.663886\pi\)
\(644\) 7.40762i 0.291901i
\(645\) −47.4987 2.71161i −1.87026 0.106770i
\(646\) 16.4482 0.647144
\(647\) −12.0307 + 12.0307i −0.472977 + 0.472977i −0.902877 0.429900i \(-0.858549\pi\)
0.429900 + 0.902877i \(0.358549\pi\)
\(648\) 7.72172 4.62331i 0.303338 0.181621i
\(649\) 2.56392i 0.100643i
\(650\) −7.58701 + 16.3535i −0.297587 + 0.641437i
\(651\) −0.448449 + 7.28549i −0.0175761 + 0.285541i
\(652\) 13.8871 13.8871i 0.543861 0.543861i
\(653\) −7.52183 7.52183i −0.294352 0.294352i 0.544445 0.838797i \(-0.316740\pi\)
−0.838797 + 0.544445i \(0.816740\pi\)
\(654\) −1.38260 + 22.4617i −0.0540639 + 0.878321i
\(655\) 0.114105 + 25.6422i 0.00445847 + 1.00192i
\(656\) 1.65794 0.0647317
\(657\) −26.8415 + 20.9372i −1.04719 + 0.816838i
\(658\) −4.07976 4.07976i −0.159046 0.159046i
\(659\) −35.5017 −1.38295 −0.691475 0.722400i \(-0.743039\pi\)
−0.691475 + 0.722400i \(0.743039\pi\)
\(660\) −10.7001 + 9.54436i −0.416500 + 0.371514i
\(661\) 22.1943i 0.863260i 0.902051 + 0.431630i \(0.142061\pi\)
−0.902051 + 0.431630i \(0.857939\pi\)
\(662\) 2.96259 2.96259i 0.115144 0.115144i
\(663\) 4.46163 + 15.4786i 0.173276 + 0.601139i
\(664\) 6.85143i 0.265887i
\(665\) 14.6437 14.7746i 0.567859 0.572935i
\(666\) −1.07988 + 8.73859i −0.0418444 + 0.338613i
\(667\) −1.77996 1.77996i −0.0689202 0.0689202i
\(668\) 13.3857 13.3857i 0.517910 0.517910i
\(669\) −1.33179 + 21.6363i −0.0514901 + 0.836507i
\(670\) 21.4876 0.0956176i 0.830137 0.00369403i
\(671\) 44.6788 1.72481
\(672\) 1.67367 + 1.89322i 0.0645632 + 0.0730327i
\(673\) 9.51386 9.51386i 0.366732 0.366732i −0.499552 0.866284i \(-0.666502\pi\)
0.866284 + 0.499552i \(0.166502\pi\)
\(674\) 21.8952i 0.843371i
\(675\) −21.2970 + 14.8808i −0.819723 + 0.572761i
\(676\) −8.21698 10.0738i −0.316038 0.387453i
\(677\) −17.0253 + 17.0253i −0.654337 + 0.654337i −0.954034 0.299697i \(-0.903114\pi\)
0.299697 + 0.954034i \(0.403114\pi\)
\(678\) 10.4870 9.27084i 0.402751 0.356044i
\(679\) 14.4077i 0.552916i
\(680\) −0.0256662 5.76782i −0.000984255 0.221186i
\(681\) 1.14845 18.6576i 0.0440086 0.714962i
\(682\) −7.56172 + 7.56172i −0.289553 + 0.289553i
\(683\) −28.1737 + 28.1737i −1.07804 + 1.07804i −0.0813495 + 0.996686i \(0.525923\pi\)
−0.996686 + 0.0813495i \(0.974077\pi\)
\(684\) −18.9853 2.34612i −0.725920 0.0897060i
\(685\) −21.4196 21.2298i −0.818400 0.811149i
\(686\) 17.3198i 0.661271i
\(687\) −26.4196 29.8853i −1.00797 1.14020i
\(688\) −8.68616 + 8.68616i −0.331157 + 0.331157i
\(689\) 12.9130 27.1968i 0.491945 1.03611i
\(690\) 14.6750 13.0900i 0.558668 0.498326i
\(691\) 7.58330i 0.288482i 0.989543 + 0.144241i \(0.0460741\pi\)
−0.989543 + 0.144241i \(0.953926\pi\)
\(692\) −0.386807 + 0.386807i −0.0147042 + 0.0147042i
\(693\) 9.96592 + 12.7763i 0.378574 + 0.485332i
\(694\) 14.0964 0.535094
\(695\) 0.0208651 + 4.68888i 0.000791457 + 0.177859i
\(696\) 0.857079 + 0.0527564i 0.0324875 + 0.00199972i
\(697\) −3.02402 + 3.02402i −0.114543 + 0.114543i
\(698\) −17.4957 17.4957i −0.662220 0.662220i
\(699\) −2.97175 + 48.2790i −0.112402 + 1.82608i
\(700\) −5.20381 5.11200i −0.196686 0.193216i
\(701\) 19.1834i 0.724547i −0.932072 0.362273i \(-0.882001\pi\)
0.932072 0.362273i \(-0.117999\pi\)
\(702\) −2.94202 18.5026i −0.111039 0.698334i
\(703\) 13.2337 13.2337i 0.499120 0.499120i
\(704\) 3.70213i 0.139529i
\(705\) 0.872970 15.2916i 0.0328779 0.575915i
\(706\) 5.89859 0.221996
\(707\) −16.0809 16.0809i −0.604785 0.604785i
\(708\) 0.794488 + 0.898710i 0.0298587 + 0.0337756i
\(709\) −2.73514 −0.102720 −0.0513602 0.998680i \(-0.516356\pi\)
−0.0513602 + 0.998680i \(0.516356\pi\)
\(710\) −7.00721 6.94512i −0.262976 0.260646i
\(711\) −18.1617 2.24434i −0.681117 0.0841694i
\(712\) 1.88603 + 1.88603i 0.0706820 + 0.0706820i
\(713\) 10.3708 10.3708i 0.388389 0.388389i
\(714\) −6.50588 0.400461i −0.243476 0.0149869i
\(715\) 10.1383 + 28.0730i 0.379150 + 1.04987i
\(716\) 23.6190i 0.882684i
\(717\) 3.20228 2.83091i 0.119591 0.105722i
\(718\) 1.80464 1.80464i 0.0673485 0.0673485i
\(719\) 52.8821 1.97217 0.986084 0.166248i \(-0.0531652\pi\)
0.986084 + 0.166248i \(0.0531652\pi\)
\(720\) −0.793079 + 6.66116i −0.0295563 + 0.248247i
\(721\) 8.42162i 0.313637i
\(722\) 15.3163 + 15.3163i 0.570014 + 0.570014i
\(723\) 27.5189 24.3276i 1.02344 0.904752i
\(724\) 10.1453i 0.377047i
\(725\) −2.47876 + 0.0220609i −0.0920587 + 0.000819322i
\(726\) −0.287929 + 4.67769i −0.0106860 + 0.173605i
\(727\) −2.36804 2.36804i −0.0878259 0.0878259i 0.661829 0.749655i \(-0.269781\pi\)
−0.749655 + 0.661829i \(0.769781\pi\)
\(728\) 4.95542 1.76471i 0.183660 0.0654045i
\(729\) 9.73483 25.1840i 0.360549 0.932740i
\(730\) −0.112907 25.3729i −0.00417887 0.939092i
\(731\) 31.6864i 1.17197i
\(732\) 15.6609 13.8447i 0.578843 0.511715i
\(733\) −3.85830 3.85830i −0.142510 0.142510i 0.632253 0.774762i \(-0.282130\pi\)
−0.774762 + 0.632253i \(0.782130\pi\)
\(734\) 18.4716i 0.681800i
\(735\) 14.0799 12.5591i 0.519344 0.463250i
\(736\) 5.07742i 0.187156i
\(737\) 25.1561 25.1561i 0.926637 0.926637i
\(738\) 3.92181 3.05914i 0.144364 0.112608i
\(739\) −31.7224 −1.16693 −0.583464 0.812139i \(-0.698303\pi\)
−0.583464 + 0.812139i \(0.698303\pi\)
\(740\) −4.66128 4.61998i −0.171352 0.169834i
\(741\) −19.2576 + 34.8555i −0.707446 + 1.28045i
\(742\) 8.61412 + 8.61412i 0.316234 + 0.316234i
\(743\) −13.7641 + 13.7641i −0.504957 + 0.504957i −0.912974 0.408017i \(-0.866220\pi\)
0.408017 + 0.912974i \(0.366220\pi\)
\(744\) −0.307381 + 4.99371i −0.0112691 + 0.183078i
\(745\) −0.213741 48.0326i −0.00783085 1.75978i
\(746\) 17.6603 0.646591
\(747\) 12.6419 + 16.2069i 0.462541 + 0.592978i
\(748\) −6.75254 6.75254i −0.246897 0.246897i
\(749\) 21.9477i 0.801953i
\(750\) 0.931606 19.3425i 0.0340174 0.706288i
\(751\) −36.2372 −1.32231 −0.661157 0.750247i \(-0.729934\pi\)
−0.661157 + 0.750247i \(0.729934\pi\)
\(752\) −2.79640 2.79640i −0.101974 0.101974i
\(753\) 27.3524 24.1804i 0.996779 0.881183i
\(754\) 0.766686 1.61476i 0.0279210 0.0588061i
\(755\) −0.0429746 9.65741i −0.00156400 0.351469i
\(756\) 7.45228 + 1.39021i 0.271037 + 0.0505615i
\(757\) −21.7590 21.7590i −0.790845 0.790845i 0.190787 0.981632i \(-0.438896\pi\)
−0.981632 + 0.190787i \(0.938896\pi\)
\(758\) −1.20359 1.20359i −0.0437162 0.0437162i
\(759\) 2.00027 32.4963i 0.0726051 1.17954i
\(760\) 10.0373 10.1270i 0.364090 0.367345i
\(761\) −14.1444 −0.512735 −0.256367 0.966579i \(-0.582526\pi\)
−0.256367 + 0.966579i \(0.582526\pi\)
\(762\) 24.0797 21.2872i 0.872316 0.771155i
\(763\) −13.4037 + 13.4037i −0.485245 + 0.485245i
\(764\) −15.5138 −0.561271
\(765\) −10.7031 13.5962i −0.386973 0.491573i
\(766\) 35.1963 1.27169
\(767\) 2.35233 0.837705i 0.0849376 0.0302478i
\(768\) 1.14719 + 1.29768i 0.0413955 + 0.0468259i
\(769\) 17.8477 0.643604 0.321802 0.946807i \(-0.395712\pi\)
0.321802 + 0.946807i \(0.395712\pi\)
\(770\) −12.0773 + 0.0537426i −0.435234 + 0.00193675i
\(771\) 20.7730 + 1.27866i 0.748122 + 0.0460497i
\(772\) −5.80655 + 5.80655i −0.208982 + 0.208982i
\(773\) 17.8480 17.8480i 0.641948 0.641948i −0.309086 0.951034i \(-0.600023\pi\)
0.951034 + 0.309086i \(0.100023\pi\)
\(774\) −4.51966 + 36.5741i −0.162456 + 1.31463i
\(775\) −0.128536 14