Properties

Label 406.2.e.a.233.5
Level $406$
Weight $2$
Character 406.233
Analytic conductor $3.242$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 406 = 2 \cdot 7 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 406.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.24192632206\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: 10.0.3118758597603.1
Defining polynomial: \( x^{10} - 4x^{8} - 16x^{6} - 34x^{5} + 43x^{4} + 155x^{3} + 199x^{2} + 124x + 43 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 233.5
Root \(-1.80582 - 0.194943i\) of defining polynomial
Character \(\chi\) \(=\) 406.233
Dual form 406.2.e.a.291.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.22122 + 2.11522i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.07173 + 3.58835i) q^{5} -2.44245 q^{6} +(-0.335903 - 2.62434i) q^{7} +1.00000 q^{8} +(-1.48277 + 2.56824i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.22122 + 2.11522i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.07173 + 3.58835i) q^{5} -2.44245 q^{6} +(-0.335903 - 2.62434i) q^{7} +1.00000 q^{8} +(-1.48277 + 2.56824i) q^{9} +(-2.07173 - 3.58835i) q^{10} +(2.35349 + 4.07636i) q^{11} +(1.22122 - 2.11522i) q^{12} -1.91061 q^{13} +(2.44070 + 1.02127i) q^{14} -10.1202 q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.38357 - 2.39642i) q^{17} +(-1.48277 - 2.56824i) q^{18} +(-2.02020 + 3.49909i) q^{19} +4.14347 q^{20} +(5.14085 - 3.91542i) q^{21} -4.70697 q^{22} +(1.08634 - 1.88160i) q^{23} +(1.22122 + 2.11522i) q^{24} +(-6.08417 - 10.5381i) q^{25} +(0.955306 - 1.65464i) q^{26} +0.0841506 q^{27} +(-2.10480 + 1.60307i) q^{28} -1.00000 q^{29} +(5.06010 - 8.76435i) q^{30} +(0.484522 + 0.839217i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-5.74826 + 9.95629i) q^{33} +2.76714 q^{34} +(10.1130 + 4.23160i) q^{35} +2.96555 q^{36} +(0.736701 - 1.27600i) q^{37} +(-2.02020 - 3.49909i) q^{38} +(-2.33328 - 4.04137i) q^{39} +(-2.07173 + 3.58835i) q^{40} +10.4741 q^{41} +(0.820425 + 6.40982i) q^{42} +7.84520 q^{43} +(2.35349 - 4.07636i) q^{44} +(-6.14382 - 10.6414i) q^{45} +(1.08634 + 1.88160i) q^{46} +(-5.86469 + 10.1579i) q^{47} -2.44245 q^{48} +(-6.77434 + 1.76305i) q^{49} +12.1683 q^{50} +(3.37930 - 5.85312i) q^{51} +(0.955306 + 1.65464i) q^{52} +(1.39041 + 2.40826i) q^{53} +(-0.0420753 + 0.0728765i) q^{54} -19.5032 q^{55} +(-0.335903 - 2.62434i) q^{56} -9.86847 q^{57} +(0.500000 - 0.866025i) q^{58} +(-1.70836 - 2.95897i) q^{59} +(5.06010 + 8.76435i) q^{60} +(-5.70959 + 9.88930i) q^{61} -0.969044 q^{62} +(7.23800 + 3.02862i) q^{63} +1.00000 q^{64} +(3.95828 - 6.85594i) q^{65} +(-5.74826 - 9.95629i) q^{66} +(1.13788 + 1.97086i) q^{67} +(-1.38357 + 2.39642i) q^{68} +5.30667 q^{69} +(-8.72115 + 6.64228i) q^{70} -6.24653 q^{71} +(-1.48277 + 2.56824i) q^{72} +(6.76148 + 11.7112i) q^{73} +(0.736701 + 1.27600i) q^{74} +(14.8603 - 25.7387i) q^{75} +4.04040 q^{76} +(9.90721 - 7.54561i) q^{77} +4.66657 q^{78} +(2.23146 - 3.86501i) q^{79} +(-2.07173 - 3.58835i) q^{80} +(4.55109 + 7.88271i) q^{81} +(-5.23706 + 9.07085i) q^{82} -6.06003 q^{83} +(-5.96128 - 2.49440i) q^{84} +11.4656 q^{85} +(-3.92260 + 6.79415i) q^{86} +(-1.22122 - 2.11522i) q^{87} +(2.35349 + 4.07636i) q^{88} +(-6.63308 + 11.4888i) q^{89} +12.2876 q^{90} +(0.641780 + 5.01410i) q^{91} -2.17268 q^{92} +(-1.18342 + 2.04974i) q^{93} +(-5.86469 - 10.1579i) q^{94} +(-8.37064 - 14.4984i) q^{95} +(1.22122 - 2.11522i) q^{96} +16.8452 q^{97} +(1.86032 - 6.74827i) q^{98} -13.9587 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - 5 q^{2} - 3 q^{3} - 5 q^{4} - 7 q^{5} + 6 q^{6} - 3 q^{7} + 10 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - 5 q^{2} - 3 q^{3} - 5 q^{4} - 7 q^{5} + 6 q^{6} - 3 q^{7} + 10 q^{8} - 8 q^{9} - 7 q^{10} - 3 q^{12} + 20 q^{13} + 3 q^{14} - 20 q^{15} - 5 q^{16} - 8 q^{17} - 8 q^{18} - 2 q^{19} + 14 q^{20} + 19 q^{21} - q^{23} - 3 q^{24} - 12 q^{25} - 10 q^{26} + 30 q^{27} - 10 q^{29} + 10 q^{30} - 11 q^{31} - 5 q^{32} - 9 q^{33} + 16 q^{34} + 10 q^{35} + 16 q^{36} + 8 q^{37} - 2 q^{38} - 18 q^{39} - 7 q^{40} + 46 q^{41} - 8 q^{42} - 6 q^{43} - 4 q^{45} - q^{46} - 16 q^{47} + 6 q^{48} - 11 q^{49} + 24 q^{50} - 7 q^{51} - 10 q^{52} - 7 q^{53} - 15 q^{54} + 12 q^{55} - 3 q^{56} - 68 q^{57} + 5 q^{58} + 9 q^{59} + 10 q^{60} - 15 q^{61} + 22 q^{62} - 3 q^{63} + 10 q^{64} - 5 q^{65} - 9 q^{66} + 4 q^{67} - 8 q^{68} + 28 q^{69} + 4 q^{70} - 44 q^{71} - 8 q^{72} + 8 q^{74} + 34 q^{75} + 4 q^{76} + 39 q^{77} + 36 q^{78} + 13 q^{79} - 7 q^{80} - 17 q^{81} - 23 q^{82} + 56 q^{83} - 11 q^{84} - 14 q^{85} + 3 q^{86} + 3 q^{87} - 17 q^{89} + 8 q^{90} + 6 q^{91} + 2 q^{92} - 17 q^{93} - 16 q^{94} + 9 q^{95} - 3 q^{96} + 84 q^{97} - 20 q^{98} - 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/406\mathbb{Z}\right)^\times\).

\(n\) \(59\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 1.22122 + 2.11522i 0.705074 + 1.22122i 0.966665 + 0.256045i \(0.0824194\pi\)
−0.261591 + 0.965179i \(0.584247\pi\)
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −2.07173 + 3.58835i −0.926508 + 1.60476i −0.137390 + 0.990517i \(0.543871\pi\)
−0.789118 + 0.614241i \(0.789462\pi\)
\(6\) −2.44245 −0.997125
\(7\) −0.335903 2.62434i −0.126959 0.991908i
\(8\) 1.00000 0.353553
\(9\) −1.48277 + 2.56824i −0.494258 + 0.856080i
\(10\) −2.07173 3.58835i −0.655140 1.13474i
\(11\) 2.35349 + 4.07636i 0.709603 + 1.22907i 0.965005 + 0.262233i \(0.0844589\pi\)
−0.255402 + 0.966835i \(0.582208\pi\)
\(12\) 1.22122 2.11522i 0.352537 0.610612i
\(13\) −1.91061 −0.529908 −0.264954 0.964261i \(-0.585357\pi\)
−0.264954 + 0.964261i \(0.585357\pi\)
\(14\) 2.44070 + 1.02127i 0.652304 + 0.272946i
\(15\) −10.1202 −2.61302
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.38357 2.39642i −0.335565 0.581216i 0.648028 0.761617i \(-0.275594\pi\)
−0.983593 + 0.180400i \(0.942261\pi\)
\(18\) −1.48277 2.56824i −0.349493 0.605340i
\(19\) −2.02020 + 3.49909i −0.463466 + 0.802747i −0.999131 0.0416840i \(-0.986728\pi\)
0.535665 + 0.844431i \(0.320061\pi\)
\(20\) 4.14347 0.926508
\(21\) 5.14085 3.91542i 1.12183 0.854414i
\(22\) −4.70697 −1.00353
\(23\) 1.08634 1.88160i 0.226518 0.392341i −0.730256 0.683174i \(-0.760599\pi\)
0.956774 + 0.290833i \(0.0939324\pi\)
\(24\) 1.22122 + 2.11522i 0.249281 + 0.431768i
\(25\) −6.08417 10.5381i −1.21683 2.10762i
\(26\) 0.955306 1.65464i 0.187351 0.324501i
\(27\) 0.0841506 0.0161948
\(28\) −2.10480 + 1.60307i −0.397769 + 0.302952i
\(29\) −1.00000 −0.185695
\(30\) 5.06010 8.76435i 0.923844 1.60014i
\(31\) 0.484522 + 0.839217i 0.0870227 + 0.150728i 0.906251 0.422739i \(-0.138931\pi\)
−0.819229 + 0.573467i \(0.805598\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −5.74826 + 9.95629i −1.00064 + 1.73317i
\(34\) 2.76714 0.474561
\(35\) 10.1130 + 4.23160i 1.70940 + 0.715271i
\(36\) 2.96555 0.494258
\(37\) 0.736701 1.27600i 0.121113 0.209774i −0.799094 0.601206i \(-0.794687\pi\)
0.920207 + 0.391432i \(0.128020\pi\)
\(38\) −2.02020 3.49909i −0.327720 0.567628i
\(39\) −2.33328 4.04137i −0.373625 0.647137i
\(40\) −2.07173 + 3.58835i −0.327570 + 0.567368i
\(41\) 10.4741 1.63578 0.817891 0.575373i \(-0.195143\pi\)
0.817891 + 0.575373i \(0.195143\pi\)
\(42\) 0.820425 + 6.40982i 0.126594 + 0.989056i
\(43\) 7.84520 1.19638 0.598191 0.801353i \(-0.295886\pi\)
0.598191 + 0.801353i \(0.295886\pi\)
\(44\) 2.35349 4.07636i 0.354801 0.614534i
\(45\) −6.14382 10.6414i −0.915867 1.58633i
\(46\) 1.08634 + 1.88160i 0.160172 + 0.277427i
\(47\) −5.86469 + 10.1579i −0.855453 + 1.48169i 0.0207706 + 0.999784i \(0.493388\pi\)
−0.876224 + 0.481904i \(0.839945\pi\)
\(48\) −2.44245 −0.352537
\(49\) −6.77434 + 1.76305i −0.967763 + 0.251864i
\(50\) 12.1683 1.72086
\(51\) 3.37930 5.85312i 0.473197 0.819601i
\(52\) 0.955306 + 1.65464i 0.132477 + 0.229457i
\(53\) 1.39041 + 2.40826i 0.190988 + 0.330800i 0.945578 0.325396i \(-0.105498\pi\)
−0.754590 + 0.656196i \(0.772164\pi\)
\(54\) −0.0420753 + 0.0728765i −0.00572572 + 0.00991724i
\(55\) −19.5032 −2.62981
\(56\) −0.335903 2.62434i −0.0448869 0.350692i
\(57\) −9.86847 −1.30711
\(58\) 0.500000 0.866025i 0.0656532 0.113715i
\(59\) −1.70836 2.95897i −0.222410 0.385226i 0.733129 0.680089i \(-0.238059\pi\)
−0.955539 + 0.294864i \(0.904726\pi\)
\(60\) 5.06010 + 8.76435i 0.653256 + 1.13147i
\(61\) −5.70959 + 9.88930i −0.731038 + 1.26620i 0.225402 + 0.974266i \(0.427631\pi\)
−0.956440 + 0.291929i \(0.905703\pi\)
\(62\) −0.969044 −0.123069
\(63\) 7.23800 + 3.02862i 0.911903 + 0.381571i
\(64\) 1.00000 0.125000
\(65\) 3.95828 6.85594i 0.490964 0.850375i
\(66\) −5.74826 9.95629i −0.707562 1.22553i
\(67\) 1.13788 + 1.97086i 0.139014 + 0.240779i 0.927124 0.374756i \(-0.122273\pi\)
−0.788110 + 0.615535i \(0.788940\pi\)
\(68\) −1.38357 + 2.39642i −0.167783 + 0.290608i
\(69\) 5.30667 0.638848
\(70\) −8.72115 + 6.64228i −1.04238 + 0.793904i
\(71\) −6.24653 −0.741327 −0.370664 0.928767i \(-0.620870\pi\)
−0.370664 + 0.928767i \(0.620870\pi\)
\(72\) −1.48277 + 2.56824i −0.174747 + 0.302670i
\(73\) 6.76148 + 11.7112i 0.791371 + 1.37070i 0.925118 + 0.379680i \(0.123966\pi\)
−0.133747 + 0.991016i \(0.542701\pi\)
\(74\) 0.736701 + 1.27600i 0.0856398 + 0.148332i
\(75\) 14.8603 25.7387i 1.71591 2.97205i
\(76\) 4.04040 0.463466
\(77\) 9.90721 7.54561i 1.12903 0.859902i
\(78\) 4.66657 0.528385
\(79\) 2.23146 3.86501i 0.251059 0.434847i −0.712758 0.701410i \(-0.752554\pi\)
0.963818 + 0.266562i \(0.0858877\pi\)
\(80\) −2.07173 3.58835i −0.231627 0.401190i
\(81\) 4.55109 + 7.88271i 0.505676 + 0.875857i
\(82\) −5.23706 + 9.07085i −0.578336 + 1.00171i
\(83\) −6.06003 −0.665175 −0.332587 0.943072i \(-0.607922\pi\)
−0.332587 + 0.943072i \(0.607922\pi\)
\(84\) −5.96128 2.49440i −0.650428 0.272161i
\(85\) 11.4656 1.24362
\(86\) −3.92260 + 6.79415i −0.422985 + 0.732632i
\(87\) −1.22122 2.11522i −0.130929 0.226775i
\(88\) 2.35349 + 4.07636i 0.250882 + 0.434541i
\(89\) −6.63308 + 11.4888i −0.703105 + 1.21781i 0.264266 + 0.964450i \(0.414870\pi\)
−0.967371 + 0.253364i \(0.918463\pi\)
\(90\) 12.2876 1.29523
\(91\) 0.641780 + 5.01410i 0.0672768 + 0.525620i
\(92\) −2.17268 −0.226518
\(93\) −1.18342 + 2.04974i −0.122715 + 0.212548i
\(94\) −5.86469 10.1579i −0.604897 1.04771i
\(95\) −8.37064 14.4984i −0.858810 1.48750i
\(96\) 1.22122 2.11522i 0.124641 0.215884i
\(97\) 16.8452 1.71037 0.855186 0.518322i \(-0.173443\pi\)
0.855186 + 0.518322i \(0.173443\pi\)
\(98\) 1.86032 6.74827i 0.187921 0.681679i
\(99\) −13.9587 −1.40291
\(100\) −6.08417 + 10.5381i −0.608417 + 1.05381i
\(101\) 6.21303 + 10.7613i 0.618219 + 1.07079i 0.989811 + 0.142391i \(0.0454790\pi\)
−0.371591 + 0.928396i \(0.621188\pi\)
\(102\) 3.37930 + 5.85312i 0.334601 + 0.579545i
\(103\) 8.08592 14.0052i 0.796729 1.37998i −0.125007 0.992156i \(-0.539895\pi\)
0.921736 0.387819i \(-0.126771\pi\)
\(104\) −1.91061 −0.187351
\(105\) 3.39941 + 26.5589i 0.331748 + 2.59188i
\(106\) −2.78082 −0.270097
\(107\) −5.31229 + 9.20116i −0.513558 + 0.889509i 0.486318 + 0.873782i \(0.338340\pi\)
−0.999876 + 0.0157273i \(0.994994\pi\)
\(108\) −0.0420753 0.0728765i −0.00404870 0.00701255i
\(109\) −3.04942 5.28175i −0.292081 0.505900i 0.682220 0.731147i \(-0.261014\pi\)
−0.974302 + 0.225247i \(0.927681\pi\)
\(110\) 9.75159 16.8903i 0.929778 1.61042i
\(111\) 3.59871 0.341574
\(112\) 2.44070 + 1.02127i 0.230624 + 0.0965010i
\(113\) 14.5875 1.37228 0.686139 0.727471i \(-0.259304\pi\)
0.686139 + 0.727471i \(0.259304\pi\)
\(114\) 4.93423 8.54635i 0.462133 0.800439i
\(115\) 4.50123 + 7.79635i 0.419741 + 0.727014i
\(116\) 0.500000 + 0.866025i 0.0464238 + 0.0804084i
\(117\) 2.83300 4.90691i 0.261911 0.453644i
\(118\) 3.41673 0.314535
\(119\) −5.82427 + 4.43593i −0.533910 + 0.406641i
\(120\) −10.1202 −0.923844
\(121\) −5.57779 + 9.66102i −0.507072 + 0.878274i
\(122\) −5.70959 9.88930i −0.516922 0.895335i
\(123\) 12.7912 + 22.1551i 1.15335 + 1.99766i
\(124\) 0.484522 0.839217i 0.0435114 0.0753639i
\(125\) 29.7018 2.65661
\(126\) −6.24187 + 4.75398i −0.556070 + 0.423518i
\(127\) 5.46381 0.484835 0.242418 0.970172i \(-0.422060\pi\)
0.242418 + 0.970172i \(0.422060\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 9.58075 + 16.5943i 0.843538 + 1.46105i
\(130\) 3.95828 + 6.85594i 0.347164 + 0.601306i
\(131\) 6.70909 11.6205i 0.586176 1.01529i −0.408552 0.912735i \(-0.633966\pi\)
0.994728 0.102551i \(-0.0327005\pi\)
\(132\) 11.4965 1.00064
\(133\) 9.86140 + 4.12634i 0.855092 + 0.357799i
\(134\) −2.27575 −0.196595
\(135\) −0.174338 + 0.301962i −0.0150046 + 0.0259887i
\(136\) −1.38357 2.39642i −0.118640 0.205491i
\(137\) −8.55161 14.8118i −0.730613 1.26546i −0.956621 0.291334i \(-0.905901\pi\)
0.226008 0.974125i \(-0.427432\pi\)
\(138\) −2.65333 + 4.59571i −0.225867 + 0.391213i
\(139\) −3.90711 −0.331397 −0.165699 0.986176i \(-0.552988\pi\)
−0.165699 + 0.986176i \(0.552988\pi\)
\(140\) −1.39180 10.8739i −0.117629 0.919010i
\(141\) −28.6484 −2.41263
\(142\) 3.12327 5.40966i 0.262099 0.453968i
\(143\) −4.49660 7.78834i −0.376024 0.651293i
\(144\) −1.48277 2.56824i −0.123564 0.214020i
\(145\) 2.07173 3.58835i 0.172048 0.297996i
\(146\) −13.5230 −1.11917
\(147\) −12.0022 12.1761i −0.989926 1.00427i
\(148\) −1.47340 −0.121113
\(149\) 3.74913 6.49369i 0.307141 0.531984i −0.670595 0.741824i \(-0.733961\pi\)
0.977736 + 0.209840i \(0.0672943\pi\)
\(150\) 14.8603 + 25.7387i 1.21333 + 2.10156i
\(151\) −4.70909 8.15638i −0.383220 0.663757i 0.608300 0.793707i \(-0.291852\pi\)
−0.991521 + 0.129950i \(0.958518\pi\)
\(152\) −2.02020 + 3.49909i −0.163860 + 0.283814i
\(153\) 8.20609 0.663423
\(154\) 1.58109 + 12.3527i 0.127408 + 0.995409i
\(155\) −4.01520 −0.322509
\(156\) −2.33328 + 4.04137i −0.186812 + 0.323568i
\(157\) −8.91431 15.4400i −0.711439 1.23225i −0.964317 0.264751i \(-0.914710\pi\)
0.252878 0.967498i \(-0.418623\pi\)
\(158\) 2.23146 + 3.86501i 0.177526 + 0.307484i
\(159\) −3.39600 + 5.88205i −0.269321 + 0.466477i
\(160\) 4.14347 0.327570
\(161\) −5.30287 2.21890i −0.417925 0.174874i
\(162\) −9.10217 −0.715134
\(163\) 5.43945 9.42141i 0.426051 0.737942i −0.570467 0.821320i \(-0.693238\pi\)
0.996518 + 0.0833788i \(0.0265711\pi\)
\(164\) −5.23706 9.07085i −0.408945 0.708314i
\(165\) −23.8178 41.2536i −1.85421 3.21159i
\(166\) 3.03002 5.24814i 0.235175 0.407335i
\(167\) 16.0326 1.24064 0.620318 0.784350i \(-0.287003\pi\)
0.620318 + 0.784350i \(0.287003\pi\)
\(168\) 5.14085 3.91542i 0.396625 0.302081i
\(169\) −9.34956 −0.719197
\(170\) −5.73279 + 9.92948i −0.439685 + 0.761556i
\(171\) −5.99100 10.3767i −0.458143 0.793528i
\(172\) −3.92260 6.79415i −0.299096 0.518049i
\(173\) 3.09439 5.35964i 0.235262 0.407486i −0.724087 0.689709i \(-0.757739\pi\)
0.959349 + 0.282223i \(0.0910719\pi\)
\(174\) 2.44245 0.185161
\(175\) −25.6118 + 19.5067i −1.93607 + 1.47457i
\(176\) −4.70697 −0.354801
\(177\) 4.17259 7.22714i 0.313631 0.543225i
\(178\) −6.63308 11.4888i −0.497170 0.861124i
\(179\) −0.602699 1.04391i −0.0450479 0.0780252i 0.842622 0.538505i \(-0.181011\pi\)
−0.887670 + 0.460480i \(0.847677\pi\)
\(180\) −6.14382 + 10.6414i −0.457934 + 0.793164i
\(181\) 6.95105 0.516668 0.258334 0.966056i \(-0.416827\pi\)
0.258334 + 0.966056i \(0.416827\pi\)
\(182\) −4.66323 1.95125i −0.345661 0.144636i
\(183\) −27.8907 −2.06174
\(184\) 1.08634 1.88160i 0.0800862 0.138713i
\(185\) 3.05250 + 5.28708i 0.224424 + 0.388714i
\(186\) −1.18342 2.04974i −0.0867725 0.150294i
\(187\) 6.51243 11.2799i 0.476236 0.824865i
\(188\) 11.7294 0.855453
\(189\) −0.0282664 0.220840i −0.00205608 0.0160637i
\(190\) 16.7413 1.21454
\(191\) 3.40424 5.89631i 0.246322 0.426642i −0.716181 0.697915i \(-0.754111\pi\)
0.962502 + 0.271273i \(0.0874446\pi\)
\(192\) 1.22122 + 2.11522i 0.0881342 + 0.152653i
\(193\) 1.94832 + 3.37459i 0.140243 + 0.242908i 0.927588 0.373604i \(-0.121878\pi\)
−0.787345 + 0.616513i \(0.788545\pi\)
\(194\) −8.42260 + 14.5884i −0.604708 + 1.04738i
\(195\) 19.3358 1.38466
\(196\) 4.91401 + 4.98523i 0.351001 + 0.356088i
\(197\) 15.5624 1.10877 0.554386 0.832260i \(-0.312953\pi\)
0.554386 + 0.832260i \(0.312953\pi\)
\(198\) 6.97937 12.0886i 0.496002 0.859101i
\(199\) −12.2868 21.2813i −0.870986 1.50859i −0.860978 0.508642i \(-0.830148\pi\)
−0.0100081 0.999950i \(-0.503186\pi\)
\(200\) −6.08417 10.5381i −0.430216 0.745155i
\(201\) −2.77920 + 4.81372i −0.196030 + 0.339533i
\(202\) −12.4261 −0.874294
\(203\) 0.335903 + 2.62434i 0.0235758 + 0.184193i
\(204\) −6.75860 −0.473197
\(205\) −21.6996 + 37.5848i −1.51556 + 2.62504i
\(206\) 8.08592 + 14.0052i 0.563372 + 0.975790i
\(207\) 3.22160 + 5.57997i 0.223917 + 0.387835i
\(208\) 0.955306 1.65464i 0.0662386 0.114729i
\(209\) −19.0181 −1.31551
\(210\) −24.7004 10.3355i −1.70449 0.713215i
\(211\) 8.65646 0.595935 0.297968 0.954576i \(-0.403691\pi\)
0.297968 + 0.954576i \(0.403691\pi\)
\(212\) 1.39041 2.40826i 0.0954938 0.165400i
\(213\) −7.62841 13.2128i −0.522690 0.905326i
\(214\) −5.31229 9.20116i −0.363141 0.628978i
\(215\) −16.2532 + 28.1513i −1.10846 + 1.91990i
\(216\) 0.0841506 0.00572572
\(217\) 2.03964 1.55345i 0.138460 0.105455i
\(218\) 6.09884 0.413065
\(219\) −16.5146 + 28.6040i −1.11595 + 1.93288i
\(220\) 9.75159 + 16.8903i 0.657452 + 1.13874i
\(221\) 2.64347 + 4.57862i 0.177819 + 0.307991i
\(222\) −1.79935 + 3.11657i −0.120765 + 0.209171i
\(223\) −10.9191 −0.731194 −0.365597 0.930773i \(-0.619135\pi\)
−0.365597 + 0.930773i \(0.619135\pi\)
\(224\) −2.10480 + 1.60307i −0.140633 + 0.107110i
\(225\) 36.0858 2.40572
\(226\) −7.29376 + 12.6332i −0.485173 + 0.840345i
\(227\) 5.24754 + 9.08901i 0.348292 + 0.603259i 0.985946 0.167064i \(-0.0534286\pi\)
−0.637655 + 0.770322i \(0.720095\pi\)
\(228\) 4.93423 + 8.54635i 0.326778 + 0.565996i
\(229\) 3.75763 6.50840i 0.248311 0.430087i −0.714746 0.699384i \(-0.753458\pi\)
0.963057 + 0.269297i \(0.0867912\pi\)
\(230\) −9.00245 −0.593604
\(231\) 28.0596 + 11.7411i 1.84618 + 0.772505i
\(232\) −1.00000 −0.0656532
\(233\) −2.57131 + 4.45364i −0.168452 + 0.291767i −0.937876 0.346971i \(-0.887210\pi\)
0.769424 + 0.638739i \(0.220543\pi\)
\(234\) 2.83300 + 4.90691i 0.185199 + 0.320775i
\(235\) −24.3002 42.0891i −1.58517 2.74559i
\(236\) −1.70836 + 2.95897i −0.111205 + 0.192613i
\(237\) 10.9005 0.708061
\(238\) −0.929492 7.26193i −0.0602500 0.470721i
\(239\) 0.749673 0.0484923 0.0242462 0.999706i \(-0.492281\pi\)
0.0242462 + 0.999706i \(0.492281\pi\)
\(240\) 5.06010 8.76435i 0.326628 0.565737i
\(241\) 4.50979 + 7.81119i 0.290501 + 0.503163i 0.973928 0.226856i \(-0.0728446\pi\)
−0.683427 + 0.730019i \(0.739511\pi\)
\(242\) −5.57779 9.66102i −0.358554 0.621034i
\(243\) −10.9896 + 19.0345i −0.704981 + 1.22106i
\(244\) 11.4192 0.731038
\(245\) 7.70820 27.9613i 0.492459 1.78638i
\(246\) −25.5825 −1.63108
\(247\) 3.85982 6.68541i 0.245595 0.425382i
\(248\) 0.484522 + 0.839217i 0.0307672 + 0.0532903i
\(249\) −7.40065 12.8183i −0.468997 0.812327i
\(250\) −14.8509 + 25.7225i −0.939252 + 1.62683i
\(251\) −29.1169 −1.83784 −0.918921 0.394441i \(-0.870938\pi\)
−0.918921 + 0.394441i \(0.870938\pi\)
\(252\) −0.996136 7.78261i −0.0627507 0.490258i
\(253\) 10.2268 0.642951
\(254\) −2.73191 + 4.73180i −0.171415 + 0.296900i
\(255\) 14.0020 + 24.2522i 0.876841 + 1.51873i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 11.6138 20.1156i 0.724447 1.25478i −0.234754 0.972055i \(-0.575428\pi\)
0.959201 0.282725i \(-0.0912383\pi\)
\(258\) −19.1615 −1.19294
\(259\) −3.59613 1.50474i −0.223453 0.0935001i
\(260\) −7.91656 −0.490964
\(261\) 1.48277 2.56824i 0.0917814 0.158970i
\(262\) 6.70909 + 11.6205i 0.414489 + 0.717916i
\(263\) 10.2517 + 17.7564i 0.632145 + 1.09491i 0.987112 + 0.160028i \(0.0511585\pi\)
−0.354968 + 0.934879i \(0.615508\pi\)
\(264\) −5.74826 + 9.95629i −0.353781 + 0.612767i
\(265\) −11.5222 −0.707806
\(266\) −8.50422 + 6.47705i −0.521427 + 0.397134i
\(267\) −32.4019 −1.98296
\(268\) 1.13788 1.97086i 0.0695068 0.120389i
\(269\) 5.69760 + 9.86853i 0.347389 + 0.601695i 0.985785 0.168013i \(-0.0537351\pi\)
−0.638396 + 0.769708i \(0.720402\pi\)
\(270\) −0.174338 0.301962i −0.0106098 0.0183768i
\(271\) −8.98753 + 15.5669i −0.545954 + 0.945620i 0.452592 + 0.891717i \(0.350499\pi\)
−0.998546 + 0.0539021i \(0.982834\pi\)
\(272\) 2.76714 0.167783
\(273\) −9.82217 + 7.48084i −0.594465 + 0.452761i
\(274\) 17.1032 1.03324
\(275\) 28.6380 49.6025i 1.72694 2.99114i
\(276\) −2.65333 4.59571i −0.159712 0.276629i
\(277\) 1.04016 + 1.80161i 0.0624971 + 0.108248i 0.895581 0.444898i \(-0.146760\pi\)
−0.833084 + 0.553147i \(0.813427\pi\)
\(278\) 1.95356 3.38366i 0.117167 0.202938i
\(279\) −2.87375 −0.172047
\(280\) 10.1130 + 4.23160i 0.604365 + 0.252887i
\(281\) 7.35741 0.438906 0.219453 0.975623i \(-0.429573\pi\)
0.219453 + 0.975623i \(0.429573\pi\)
\(282\) 14.3242 24.8102i 0.852994 1.47743i
\(283\) 3.04027 + 5.26590i 0.180725 + 0.313025i 0.942128 0.335254i \(-0.108822\pi\)
−0.761403 + 0.648279i \(0.775489\pi\)
\(284\) 3.12327 + 5.40966i 0.185332 + 0.321004i
\(285\) 20.4448 35.4115i 1.21105 2.09760i
\(286\) 8.99320 0.531779
\(287\) −3.51829 27.4877i −0.207678 1.62255i
\(288\) 2.96555 0.174747
\(289\) 4.67146 8.09120i 0.274792 0.475953i
\(290\) 2.07173 + 3.58835i 0.121656 + 0.210715i
\(291\) 20.5718 + 35.6313i 1.20594 + 2.08875i
\(292\) 6.76148 11.7112i 0.395686 0.685348i
\(293\) 13.7159 0.801291 0.400646 0.916233i \(-0.368786\pi\)
0.400646 + 0.916233i \(0.368786\pi\)
\(294\) 16.5460 4.30615i 0.964980 0.251140i
\(295\) 14.1571 0.824259
\(296\) 0.736701 1.27600i 0.0428199 0.0741662i
\(297\) 0.198047 + 0.343028i 0.0114919 + 0.0199045i
\(298\) 3.74913 + 6.49369i 0.217181 + 0.376169i
\(299\) −2.07558 + 3.59501i −0.120034 + 0.207905i
\(300\) −29.7205 −1.71591
\(301\) −2.63523 20.5885i −0.151892 1.18670i
\(302\) 9.41817 0.541955
\(303\) −15.1750 + 26.2839i −0.871780 + 1.50997i
\(304\) −2.02020 3.49909i −0.115867 0.200687i
\(305\) −23.6575 40.9760i −1.35463 2.34628i
\(306\) −4.10305 + 7.10668i −0.234556 + 0.406262i
\(307\) 7.64494 0.436320 0.218160 0.975913i \(-0.429995\pi\)
0.218160 + 0.975913i \(0.429995\pi\)
\(308\) −11.4883 4.80709i −0.654606 0.273909i
\(309\) 39.4988 2.24701
\(310\) 2.00760 3.47727i 0.114024 0.197496i
\(311\) −12.2126 21.1528i −0.692512 1.19947i −0.971012 0.239030i \(-0.923171\pi\)
0.278500 0.960436i \(-0.410163\pi\)
\(312\) −2.33328 4.04137i −0.132096 0.228797i
\(313\) 9.13225 15.8175i 0.516185 0.894059i −0.483638 0.875268i \(-0.660685\pi\)
0.999823 0.0187912i \(-0.00598179\pi\)
\(314\) 17.8286 1.00613
\(315\) −25.8630 + 19.6980i −1.45721 + 1.10986i
\(316\) −4.46293 −0.251059
\(317\) 5.21086 9.02547i 0.292671 0.506921i −0.681770 0.731567i \(-0.738789\pi\)
0.974440 + 0.224646i \(0.0721227\pi\)
\(318\) −3.39600 5.88205i −0.190438 0.329849i
\(319\) −2.35349 4.07636i −0.131770 0.228232i
\(320\) −2.07173 + 3.58835i −0.115813 + 0.200595i
\(321\) −25.9500 −1.44839
\(322\) 4.57306 3.48297i 0.254846 0.194098i
\(323\) 11.1804 0.622093
\(324\) 4.55109 7.88271i 0.252838 0.437929i
\(325\) 11.6245 + 20.1342i 0.644810 + 1.11684i
\(326\) 5.43945 + 9.42141i 0.301263 + 0.521804i
\(327\) 7.44804 12.9004i 0.411878 0.713393i
\(328\) 10.4741 0.578336
\(329\) 28.6279 + 11.9789i 1.57831 + 0.660417i
\(330\) 47.6355 2.62225
\(331\) −2.34176 + 4.05604i −0.128715 + 0.222940i −0.923179 0.384371i \(-0.874418\pi\)
0.794464 + 0.607311i \(0.207752\pi\)
\(332\) 3.03002 + 5.24814i 0.166294 + 0.288029i
\(333\) 2.18472 + 3.78405i 0.119722 + 0.207365i
\(334\) −8.01628 + 13.8846i −0.438631 + 0.759731i
\(335\) −9.42950 −0.515189
\(336\) 0.820425 + 6.40982i 0.0447579 + 0.349684i
\(337\) −25.3719 −1.38210 −0.691048 0.722809i \(-0.742851\pi\)
−0.691048 + 0.722809i \(0.742851\pi\)
\(338\) 4.67478 8.09696i 0.254275 0.440416i
\(339\) 17.8146 + 30.8558i 0.967557 + 1.67586i
\(340\) −5.73279 9.92948i −0.310904 0.538501i
\(341\) −2.28063 + 3.95017i −0.123503 + 0.213914i
\(342\) 11.9820 0.647913
\(343\) 6.90236 + 17.1860i 0.372692 + 0.927955i
\(344\) 7.84520 0.422985
\(345\) −10.9940 + 19.0422i −0.591897 + 1.02520i
\(346\) 3.09439 + 5.35964i 0.166355 + 0.288136i
\(347\) 0.965287 + 1.67193i 0.0518193 + 0.0897537i 0.890772 0.454451i \(-0.150165\pi\)
−0.838952 + 0.544205i \(0.816831\pi\)
\(348\) −1.22122 + 2.11522i −0.0654644 + 0.113388i
\(349\) 1.95782 0.104800 0.0523998 0.998626i \(-0.483313\pi\)
0.0523998 + 0.998626i \(0.483313\pi\)
\(350\) −4.08738 31.9339i −0.218480 1.70694i
\(351\) −0.160779 −0.00858175
\(352\) 2.35349 4.07636i 0.125441 0.217271i
\(353\) 8.16649 + 14.1448i 0.434658 + 0.752850i 0.997268 0.0738726i \(-0.0235358\pi\)
−0.562609 + 0.826723i \(0.690202\pi\)
\(354\) 4.17259 + 7.22714i 0.221771 + 0.384118i
\(355\) 12.9412 22.4147i 0.686845 1.18965i
\(356\) 13.2662 0.703105
\(357\) −16.4957 6.90236i −0.873045 0.365312i
\(358\) 1.20540 0.0637073
\(359\) 5.89004 10.2019i 0.310865 0.538433i −0.667685 0.744444i \(-0.732715\pi\)
0.978550 + 0.206010i \(0.0660481\pi\)
\(360\) −6.14382 10.6414i −0.323808 0.560852i
\(361\) 1.33757 + 2.31674i 0.0703985 + 0.121934i
\(362\) −3.47553 + 6.01979i −0.182670 + 0.316393i
\(363\) −27.2469 −1.43009
\(364\) 4.02145 3.06285i 0.210781 0.160537i
\(365\) −56.0320 −2.93285
\(366\) 13.9454 24.1541i 0.728936 1.26255i
\(367\) −17.8219 30.8684i −0.930295 1.61132i −0.782816 0.622253i \(-0.786218\pi\)
−0.147478 0.989065i \(-0.547116\pi\)
\(368\) 1.08634 + 1.88160i 0.0566295 + 0.0980852i
\(369\) −15.5307 + 26.9000i −0.808498 + 1.40036i
\(370\) −6.10500 −0.317384
\(371\) 5.85306 4.45785i 0.303876 0.231440i
\(372\) 2.36684 0.122715
\(373\) −8.87414 + 15.3705i −0.459486 + 0.795852i −0.998934 0.0461665i \(-0.985300\pi\)
0.539448 + 0.842019i \(0.318633\pi\)
\(374\) 6.51243 + 11.2799i 0.336750 + 0.583268i
\(375\) 36.2725 + 62.8258i 1.87310 + 3.24431i
\(376\) −5.86469 + 10.1579i −0.302448 + 0.523856i
\(377\) 1.91061 0.0984015
\(378\) 0.205386 + 0.0859405i 0.0105639 + 0.00442030i
\(379\) −15.2263 −0.782124 −0.391062 0.920364i \(-0.627892\pi\)
−0.391062 + 0.920364i \(0.627892\pi\)
\(380\) −8.37064 + 14.4984i −0.429405 + 0.743751i
\(381\) 6.67254 + 11.5572i 0.341844 + 0.592092i
\(382\) 3.40424 + 5.89631i 0.174176 + 0.301681i
\(383\) 7.90588 13.6934i 0.403971 0.699699i −0.590230 0.807235i \(-0.700963\pi\)
0.994201 + 0.107536i \(0.0342962\pi\)
\(384\) −2.44245 −0.124641
\(385\) 6.55118 + 51.1830i 0.333879 + 2.60853i
\(386\) −3.89664 −0.198334
\(387\) −11.6327 + 20.1484i −0.591321 + 1.02420i
\(388\) −8.42260 14.5884i −0.427593 0.740612i
\(389\) 10.8586 + 18.8076i 0.550552 + 0.953584i 0.998235 + 0.0593917i \(0.0189161\pi\)
−0.447683 + 0.894193i \(0.647751\pi\)
\(390\) −9.66789 + 16.7453i −0.489553 + 0.847930i
\(391\) −6.01213 −0.304047
\(392\) −6.77434 + 1.76305i −0.342156 + 0.0890474i
\(393\) 32.7732 1.65319
\(394\) −7.78118 + 13.4774i −0.392010 + 0.678981i
\(395\) 9.24600 + 16.0145i 0.465217 + 0.805779i
\(396\) 6.97937 + 12.0886i 0.350727 + 0.607476i
\(397\) −0.630167 + 1.09148i −0.0316272 + 0.0547798i −0.881406 0.472360i \(-0.843402\pi\)
0.849779 + 0.527140i \(0.176736\pi\)
\(398\) 24.5735 1.23176
\(399\) 3.31485 + 25.8982i 0.165950 + 1.29653i
\(400\) 12.1683 0.608417
\(401\) 0.955905 1.65568i 0.0477356 0.0826806i −0.841170 0.540770i \(-0.818133\pi\)
0.888906 + 0.458090i \(0.151466\pi\)
\(402\) −2.77920 4.81372i −0.138614 0.240086i
\(403\) −0.925734 1.60342i −0.0461141 0.0798719i
\(404\) 6.21303 10.7613i 0.309110 0.535394i
\(405\) −37.7146 −1.87405
\(406\) −2.44070 1.02127i −0.121130 0.0506848i
\(407\) 6.93526 0.343768
\(408\) 3.37930 5.85312i 0.167300 0.289773i
\(409\) 1.50907 + 2.61379i 0.0746189 + 0.129244i 0.900921 0.433984i \(-0.142893\pi\)
−0.826302 + 0.563228i \(0.809559\pi\)
\(410\) −21.6996 37.5848i −1.07167 1.85618i
\(411\) 20.8869 36.1771i 1.03027 1.78448i
\(412\) −16.1718 −0.796729
\(413\) −7.19151 + 5.47726i −0.353871 + 0.269518i
\(414\) −6.44320 −0.316666
\(415\) 12.5548 21.7455i 0.616290 1.06744i
\(416\) 0.955306 + 1.65464i 0.0468377 + 0.0811253i
\(417\) −4.77146 8.26441i −0.233659 0.404710i
\(418\) 9.50903 16.4701i 0.465102 0.805580i
\(419\) 4.64504 0.226925 0.113463 0.993542i \(-0.463806\pi\)
0.113463 + 0.993542i \(0.463806\pi\)
\(420\) 21.3010 16.2234i 1.03938 0.791621i
\(421\) −26.6202 −1.29739 −0.648695 0.761048i \(-0.724685\pi\)
−0.648695 + 0.761048i \(0.724685\pi\)
\(422\) −4.32823 + 7.49671i −0.210695 + 0.364934i
\(423\) −17.3920 30.1239i −0.845629 1.46467i
\(424\) 1.39041 + 2.40826i 0.0675243 + 0.116956i
\(425\) −16.8358 + 29.1604i −0.816654 + 1.41449i
\(426\) 15.2568 0.739196
\(427\) 27.8708 + 11.6621i 1.34876 + 0.564367i
\(428\) 10.6246 0.513558
\(429\) 10.9827 19.0226i 0.530250 0.918420i
\(430\) −16.2532 28.1513i −0.783798 1.35758i
\(431\) 4.81935 + 8.34735i 0.232140 + 0.402078i 0.958438 0.285302i \(-0.0920940\pi\)
−0.726298 + 0.687380i \(0.758761\pi\)
\(432\) −0.0420753 + 0.0728765i −0.00202435 + 0.00350627i
\(433\) −3.16466 −0.152084 −0.0760420 0.997105i \(-0.524228\pi\)
−0.0760420 + 0.997105i \(0.524228\pi\)
\(434\) 0.325505 + 2.54310i 0.0156247 + 0.122073i
\(435\) 10.1202 0.485227
\(436\) −3.04942 + 5.28175i −0.146041 + 0.252950i
\(437\) 4.38926 + 7.60242i 0.209967 + 0.363673i
\(438\) −16.5146 28.6040i −0.789096 1.36675i
\(439\) −6.94499 + 12.0291i −0.331467 + 0.574117i −0.982800 0.184675i \(-0.940877\pi\)
0.651333 + 0.758792i \(0.274210\pi\)
\(440\) −19.5032 −0.929778
\(441\) 5.51688 20.0123i 0.262709 0.952968i
\(442\) −5.28694 −0.251474
\(443\) −10.1854 + 17.6416i −0.483923 + 0.838179i −0.999829 0.0184661i \(-0.994122\pi\)
0.515907 + 0.856645i \(0.327455\pi\)
\(444\) −1.79935 3.11657i −0.0853936 0.147906i
\(445\) −27.4840 47.6036i −1.30286 2.25663i
\(446\) 5.45953 9.45618i 0.258516 0.447763i
\(447\) 18.3141 0.866228
\(448\) −0.335903 2.62434i −0.0158699 0.123988i
\(449\) 33.1442 1.56417 0.782086 0.623170i \(-0.214156\pi\)
0.782086 + 0.623170i \(0.214156\pi\)
\(450\) −18.0429 + 31.2512i −0.850550 + 1.47320i
\(451\) 24.6507 + 42.6962i 1.16076 + 2.01049i
\(452\) −7.29376 12.6332i −0.343069 0.594214i
\(453\) 11.5017 19.9215i 0.540397 0.935995i
\(454\) −10.4951 −0.492559
\(455\) −19.3219 8.08495i −0.905826 0.379028i
\(456\) −9.86847 −0.462133
\(457\) 9.10435 15.7692i 0.425883 0.737652i −0.570619 0.821215i \(-0.693297\pi\)
0.996502 + 0.0835631i \(0.0266300\pi\)
\(458\) 3.75763 + 6.50840i 0.175582 + 0.304117i
\(459\) −0.116428 0.201660i −0.00543441 0.00941267i
\(460\) 4.50123 7.79635i 0.209871 0.363507i
\(461\) −3.52484 −0.164168 −0.0820841 0.996625i \(-0.526158\pi\)
−0.0820841 + 0.996625i \(0.526158\pi\)
\(462\) −24.1978 + 18.4298i −1.12579 + 0.857430i
\(463\) 10.7653 0.500304 0.250152 0.968207i \(-0.419519\pi\)
0.250152 + 0.968207i \(0.419519\pi\)
\(464\) 0.500000 0.866025i 0.0232119 0.0402042i
\(465\) −4.90346 8.49305i −0.227393 0.393856i
\(466\) −2.57131 4.45364i −0.119114 0.206311i
\(467\) −6.00994 + 10.4095i −0.278107 + 0.481695i −0.970914 0.239427i \(-0.923040\pi\)
0.692807 + 0.721123i \(0.256374\pi\)
\(468\) −5.66601 −0.261911
\(469\) 4.78999 3.64819i 0.221181 0.168458i
\(470\) 48.6003 2.24177
\(471\) 21.7727 37.7115i 1.00323 1.73765i
\(472\) −1.70836 2.95897i −0.0786338 0.136198i
\(473\) 18.4636 + 31.9798i 0.848956 + 1.47043i
\(474\) −5.45023 + 9.44008i −0.250337 + 0.433597i
\(475\) 49.1650 2.25584
\(476\) 6.75376 + 2.82600i 0.309558 + 0.129530i
\(477\) −8.24666 −0.377588
\(478\) −0.374837 + 0.649236i −0.0171446 + 0.0296954i
\(479\) −4.14601 7.18110i −0.189436 0.328113i 0.755626 0.655003i \(-0.227333\pi\)
−0.945062 + 0.326890i \(0.893999\pi\)
\(480\) 5.06010 + 8.76435i 0.230961 + 0.400036i
\(481\) −1.40755 + 2.43795i −0.0641788 + 0.111161i
\(482\) −9.01959 −0.410831
\(483\) −1.78253 13.9265i −0.0811077 0.633678i
\(484\) 11.1556 0.507072
\(485\) −34.8988 + 60.4465i −1.58467 + 2.74473i
\(486\) −10.9896 19.0345i −0.498497 0.863421i
\(487\) −3.94673 6.83593i −0.178843 0.309766i 0.762641 0.646822i \(-0.223902\pi\)
−0.941485 + 0.337056i \(0.890569\pi\)
\(488\) −5.70959 + 9.88930i −0.258461 + 0.447668i
\(489\) 26.5711 1.20159
\(490\) 20.3611 + 20.6561i 0.919819 + 0.933149i
\(491\) −37.7250 −1.70250 −0.851252 0.524757i \(-0.824156\pi\)
−0.851252 + 0.524757i \(0.824156\pi\)
\(492\) 12.7912 22.1551i 0.576673 0.998828i
\(493\) 1.38357 + 2.39642i 0.0623129 + 0.107929i
\(494\) 3.85982 + 6.68541i 0.173662 + 0.300791i
\(495\) 28.9188 50.0888i 1.29980 2.25133i
\(496\) −0.969044 −0.0435114
\(497\) 2.09823 + 16.3930i 0.0941184 + 0.735328i
\(498\) 14.8013 0.663262
\(499\) 4.23971 7.34340i 0.189796 0.328736i −0.755386 0.655280i \(-0.772551\pi\)
0.945182 + 0.326544i \(0.105884\pi\)
\(500\) −14.8509 25.7225i −0.664152 1.15034i
\(501\) 19.5793 + 33.9124i 0.874740 + 1.51509i
\(502\) 14.5584 25.2160i 0.649775 1.12544i
\(503\) −25.2796 −1.12716 −0.563581 0.826061i \(-0.690577\pi\)
−0.563581 + 0.826061i \(0.690577\pi\)
\(504\) 7.23800 + 3.02862i 0.322406 + 0.134906i
\(505\) −51.4870 −2.29114
\(506\) −5.11338 + 8.85664i −0.227318 + 0.393726i
\(507\) −11.4179 19.7764i −0.507087 0.878300i
\(508\) −2.73191 4.73180i −0.121209 0.209940i
\(509\) −2.48482 + 4.30383i −0.110138 + 0.190764i −0.915826 0.401576i \(-0.868462\pi\)
0.805688 + 0.592340i \(0.201796\pi\)
\(510\) −28.0041 −1.24004
\(511\) 28.4631 21.6783i 1.25913 0.958990i
\(512\) 1.00000 0.0441942
\(513\) −0.170001 + 0.294451i −0.00750573 + 0.0130003i
\(514\) 11.6138 + 20.1156i 0.512262 + 0.887263i
\(515\) 33.5037 + 58.0302i 1.47635 + 2.55712i
\(516\) 9.58075 16.5943i 0.421769 0.730525i
\(517\) −55.2099 −2.42813
\(518\) 3.10121 2.36197i 0.136259 0.103779i
\(519\) 15.1158 0.663508
\(520\) 3.95828 6.85594i 0.173582 0.300653i
\(521\) −13.4814 23.3505i −0.590631 1.02300i −0.994148 0.108030i \(-0.965546\pi\)
0.403517 0.914972i \(-0.367788\pi\)
\(522\) 1.48277 + 2.56824i 0.0648992 + 0.112409i
\(523\) 5.24494 9.08451i 0.229345 0.397238i −0.728269 0.685291i \(-0.759675\pi\)
0.957614 + 0.288054i \(0.0930082\pi\)
\(524\) −13.4182 −0.586176
\(525\) −72.5388 30.3527i −3.16585 1.32470i
\(526\) −20.5033 −0.893988
\(527\) 1.34074 2.32223i 0.0584036 0.101158i
\(528\) −5.74826 9.95629i −0.250161 0.433292i
\(529\) 9.13972 + 15.8305i 0.397379 + 0.688281i
\(530\) 5.76112 9.97856i 0.250247 0.433441i
\(531\) 10.1325 0.439712
\(532\) −1.35718 10.6034i −0.0588414 0.459716i
\(533\) −20.0120 −0.866815
\(534\) 16.2009 28.0609i 0.701084 1.21431i
\(535\) −22.0113 38.1247i −0.951632 1.64827i
\(536\) 1.13788 + 1.97086i 0.0491487 + 0.0851281i
\(537\) 1.47206 2.54968i 0.0635241 0.110027i
\(538\) −11.3952 −0.491282
\(539\) −23.1301 23.4653i −0.996285 1.01072i
\(540\) 0.348675 0.0150046
\(541\) 22.2847 38.5982i 0.958093 1.65947i 0.230968 0.972961i \(-0.425811\pi\)
0.727125 0.686505i \(-0.240856\pi\)
\(542\) −8.98753 15.5669i −0.386048 0.668654i
\(543\) 8.48879 + 14.7030i 0.364289 + 0.630967i
\(544\) −1.38357 + 2.39642i −0.0593201 + 0.102746i
\(545\) 25.2703 1.08246
\(546\) −1.56751 12.2467i −0.0670834 0.524109i
\(547\) 34.8005 1.48796 0.743980 0.668202i \(-0.232936\pi\)
0.743980 + 0.668202i \(0.232936\pi\)
\(548\) −8.55161 + 14.8118i −0.365307 + 0.632730i
\(549\) −16.9321 29.3272i −0.722643 1.25165i
\(550\) 28.6380 + 49.6025i 1.22113 + 2.11506i
\(551\) 2.02020 3.49909i 0.0860635 0.149066i
\(552\) 5.30667 0.225867
\(553\) −10.8927 4.55786i −0.463203 0.193820i
\(554\) −2.08032 −0.0883843
\(555\) −7.45557 + 12.9134i −0.316471 + 0.548144i
\(556\) 1.95356 + 3.38366i 0.0828493 + 0.143499i
\(557\) 16.8832 + 29.2426i 0.715365 + 1.23905i 0.962818 + 0.270149i \(0.0870731\pi\)
−0.247453 + 0.968900i \(0.579594\pi\)
\(558\) 1.43687 2.48874i 0.0608277 0.105357i
\(559\) −14.9891 −0.633973
\(560\) −8.72115 + 6.64228i −0.368536 + 0.280687i
\(561\) 31.8125 1.34313
\(562\) −3.67871 + 6.37170i −0.155177 + 0.268774i
\(563\) −20.6204 35.7156i −0.869047 1.50523i −0.862972 0.505252i \(-0.831400\pi\)
−0.00607459 0.999982i \(-0.501934\pi\)
\(564\) 14.3242 + 24.8102i 0.603158 + 1.04470i
\(565\) −30.2215 + 52.3451i −1.27143 + 2.20217i
\(566\) −6.08053 −0.255584
\(567\) 19.1582 14.5914i 0.804569 0.612783i
\(568\) −6.24653 −0.262099
\(569\) 12.9593 22.4461i 0.543281 0.940990i −0.455432 0.890270i \(-0.650515\pi\)
0.998713 0.0507193i \(-0.0161514\pi\)
\(570\) 20.4448 + 35.4115i 0.856340 + 1.48323i
\(571\) −7.94763 13.7657i −0.332598 0.576077i 0.650422 0.759573i \(-0.274592\pi\)
−0.983020 + 0.183496i \(0.941259\pi\)
\(572\) −4.49660 + 7.78834i −0.188012 + 0.325647i
\(573\) 16.6293 0.694700
\(574\) 25.5642 + 10.6969i 1.06703 + 0.446480i
\(575\) −26.4380 −1.10254
\(576\) −1.48277 + 2.56824i −0.0617822 + 0.107010i
\(577\) 5.13613 + 8.89603i 0.213820 + 0.370347i 0.952907 0.303263i \(-0.0980761\pi\)
−0.739087 + 0.673610i \(0.764743\pi\)
\(578\) 4.67146 + 8.09120i 0.194307 + 0.336550i
\(579\) −4.75867 + 8.24225i −0.197763 + 0.342536i
\(580\) −4.14347 −0.172048
\(581\) 2.03558 + 15.9036i 0.0844502 + 0.659792i
\(582\) −41.1435 −1.70545
\(583\) −6.54462 + 11.3356i −0.271051 + 0.469473i
\(584\) 6.76148 + 11.7112i 0.279792 + 0.484614i
\(585\) 11.7385 + 20.3316i 0.485326 + 0.840609i
\(586\) −6.85795 + 11.8783i −0.283299 + 0.490689i
\(587\) −23.9902 −0.990183 −0.495091 0.868841i \(-0.664865\pi\)
−0.495091 + 0.868841i \(0.664865\pi\)
\(588\) −4.54374 + 16.4823i −0.187381 + 0.679719i
\(589\) −3.91533 −0.161328
\(590\) −7.07855 + 12.2604i −0.291419 + 0.504753i
\(591\) 19.0051 + 32.9178i 0.781766 + 1.35406i
\(592\) 0.736701 + 1.27600i 0.0302782 + 0.0524434i
\(593\) 7.76833 13.4551i 0.319007 0.552536i −0.661274 0.750144i \(-0.729984\pi\)
0.980281 + 0.197608i \(0.0633173\pi\)
\(594\) −0.396094 −0.0162519
\(595\) −3.85132 30.0896i −0.157889 1.23355i
\(596\) −7.49827 −0.307141
\(597\) 30.0098 51.9785i 1.22822 2.12734i
\(598\) −2.07558 3.59501i −0.0848767 0.147011i
\(599\) 10.4154 + 18.0400i 0.425561 + 0.737094i 0.996473 0.0839180i \(-0.0267434\pi\)
−0.570911 + 0.821012i \(0.693410\pi\)
\(600\) 14.8603 25.7387i 0.606667 1.05078i
\(601\) 17.7149 0.722606 0.361303 0.932448i \(-0.382332\pi\)
0.361303 + 0.932448i \(0.382332\pi\)
\(602\) 19.1478 + 8.01207i 0.780405 + 0.326548i
\(603\) −6.74884 −0.274834
\(604\) −4.70909 + 8.15638i −0.191610 + 0.331878i
\(605\) −23.1114 40.0301i −0.939612 1.62746i
\(606\) −15.1750 26.2839i −0.616442 1.06771i
\(607\) 1.22259 2.11758i 0.0496233 0.0859501i −0.840147 0.542359i \(-0.817531\pi\)
0.889770 + 0.456409i \(0.150865\pi\)
\(608\) 4.04040 0.163860
\(609\) −5.14085 + 3.91542i −0.208318 + 0.158661i
\(610\) 47.3150 1.91573
\(611\) 11.2052 19.4079i 0.453312 0.785159i
\(612\) −4.10305 7.10668i −0.165856 0.287271i
\(613\) 0.903050 + 1.56413i 0.0364739 + 0.0631746i 0.883686 0.468080i \(-0.155054\pi\)
−0.847212 + 0.531255i \(0.821721\pi\)
\(614\) −3.82247 + 6.62071i −0.154262 + 0.267190i
\(615\) −106.000 −4.27434
\(616\) 9.90721 7.54561i 0.399173 0.304021i
\(617\) −15.0917 −0.607567 −0.303784 0.952741i \(-0.598250\pi\)
−0.303784 + 0.952741i \(0.598250\pi\)
\(618\) −19.7494 + 34.2070i −0.794438 + 1.37601i
\(619\) 22.2955 + 38.6170i 0.896133 + 1.55215i 0.832396 + 0.554181i \(0.186968\pi\)
0.0637362 + 0.997967i \(0.479698\pi\)
\(620\) 2.00760 + 3.47727i 0.0806272 + 0.139650i
\(621\) 0.0914163 0.158338i 0.00366841 0.00635387i
\(622\) 24.4252 0.979360
\(623\) 32.3787 + 13.5483i 1.29723 + 0.542803i
\(624\) 4.66657 0.186812
\(625\) −31.1133 + 53.8899i −1.24453 + 2.15560i
\(626\) 9.13225 + 15.8175i 0.364998 + 0.632195i
\(627\) −23.2253 40.2274i −0.927529 1.60653i
\(628\) −8.91431 + 15.4400i −0.355720 + 0.616125i
\(629\) −4.07712 −0.162565
\(630\) −4.12746 32.2470i −0.164442 1.28475i
\(631\) −14.3265 −0.570328 −0.285164 0.958479i \(-0.592048\pi\)
−0.285164 + 0.958479i \(0.592048\pi\)
\(632\) 2.23146 3.86501i 0.0887629 0.153742i
\(633\) 10.5715 + 18.3103i 0.420178 + 0.727770i
\(634\) 5.21086 + 9.02547i 0.206950 + 0.358447i
\(635\) −11.3196 + 19.6061i −0.449203 + 0.778043i
\(636\) 6.79201 0.269321
\(637\) 12.9431 3.36850i 0.512826 0.133465i
\(638\) 4.70697 0.186351
\(639\) 9.26219 16.0426i 0.366407 0.634635i
\(640\) −2.07173 3.58835i −0.0818925 0.141842i
\(641\) 8.71772 + 15.0995i 0.344329 + 0.596395i 0.985232 0.171227i \(-0.0547731\pi\)
−0.640903 + 0.767622i \(0.721440\pi\)
\(642\) 12.9750 22.4733i 0.512082 0.886952i
\(643\) −6.99067 −0.275685 −0.137843 0.990454i \(-0.544017\pi\)
−0.137843 + 0.990454i \(0.544017\pi\)
\(644\) 0.729811 + 5.70187i 0.0287586 + 0.224685i
\(645\) −79.3950 −3.12618
\(646\) −5.59019 + 9.68249i −0.219943 + 0.380952i
\(647\) 8.11703 + 14.0591i 0.319113 + 0.552721i 0.980303 0.197498i \(-0.0632816\pi\)
−0.661190 + 0.750219i \(0.729948\pi\)
\(648\) 4.55109 + 7.88271i 0.178784 + 0.309662i
\(649\) 8.04122 13.9278i 0.315646 0.546714i
\(650\) −23.2490 −0.911899
\(651\) 5.77674 + 2.41718i 0.226408 + 0.0947369i
\(652\) −10.8789 −0.426051
\(653\) −11.2601 + 19.5030i −0.440641 + 0.763212i −0.997737 0.0672359i \(-0.978582\pi\)
0.557097 + 0.830448i \(0.311915\pi\)
\(654\) 7.44804 + 12.9004i 0.291241 + 0.504445i
\(655\) 27.7989 + 48.1491i 1.08619 + 1.88134i
\(656\) −5.23706 + 9.07085i −0.204473 + 0.354157i
\(657\) −40.1030 −1.56457
\(658\) −24.6880 + 18.8030i −0.962437 + 0.733019i
\(659\) −6.71682 −0.261650 −0.130825 0.991405i \(-0.541763\pi\)
−0.130825 + 0.991405i \(0.541763\pi\)
\(660\) −23.8178 + 41.2536i −0.927105 + 1.60579i
\(661\) 17.6804 + 30.6234i 0.687689 + 1.19111i 0.972584 + 0.232553i \(0.0747079\pi\)
−0.284895 + 0.958559i \(0.591959\pi\)
\(662\) −2.34176 4.05604i −0.0910149 0.157643i
\(663\) −6.45653 + 11.1830i −0.250751 + 0.434313i
\(664\) −6.06003 −0.235175
\(665\) −35.2370 + 26.8375i −1.36643 + 1.04071i
\(666\) −4.36944 −0.169313
\(667\) −1.08634 + 1.88160i −0.0420633 + 0.0728559i
\(668\) −8.01628 13.8846i −0.310159 0.537211i
\(669\) −13.3346 23.0962i −0.515546 0.892951i
\(670\) 4.71475 8.16619i 0.182147 0.315487i
\(671\) −53.7498 −2.07499
\(672\) −5.96128 2.49440i −0.229961 0.0962235i
\(673\) −23.1388 −0.891935 −0.445967 0.895049i \(-0.647140\pi\)
−0.445967 + 0.895049i \(0.647140\pi\)
\(674\) 12.6860 21.9727i 0.488645 0.846358i
\(675\) −0.511986 0.886786i −0.0197064 0.0341324i
\(676\) 4.67478 + 8.09696i 0.179799 + 0.311421i
\(677\) −11.3672 + 19.6886i −0.436878 + 0.756694i −0.997447 0.0714135i \(-0.977249\pi\)
0.560569 + 0.828108i \(0.310582\pi\)
\(678\) −35.6292 −1.36833
\(679\) −5.65835 44.2076i −0.217148 1.69653i
\(680\) 11.4656 0.439685
\(681\) −12.8168 + 22.1994i −0.491142 + 0.850684i
\(682\) −2.28063 3.95017i −0.0873299 0.151260i
\(683\) −10.1464 17.5741i −0.388242 0.672454i 0.603972 0.797006i \(-0.293584\pi\)
−0.992213 + 0.124552i \(0.960251\pi\)
\(684\) −5.99100 + 10.3767i −0.229072 + 0.396764i
\(685\) 70.8667 2.70768
\(686\) −18.3347 2.61536i −0.700021 0.0998550i
\(687\) 18.3556 0.700310
\(688\) −3.92260 + 6.79415i −0.149548 + 0.259024i
\(689\) −2.65654 4.60125i −0.101206 0.175294i
\(690\) −10.9940 19.0422i −0.418535 0.724923i
\(691\) −1.00590 + 1.74227i −0.0382662 + 0.0662790i −0.884524 0.466494i \(-0.845517\pi\)
0.846258 + 0.532773i \(0.178850\pi\)
\(692\) −6.18878 −0.235262
\(693\) 4.68878 + 36.6325i 0.178112 + 1.39155i
\(694\) −1.93057 −0.0732836
\(695\) 8.09450 14.0201i 0.307042 0.531812i
\(696\) −1.22122 2.11522i −0.0462904 0.0801772i
\(697\) −14.4917 25.1003i −0.548912 0.950743i
\(698\) −0.978909 + 1.69552i −0.0370523 + 0.0641764i
\(699\) −12.5606 −0.475084
\(700\) 29.6992 + 12.4272i 1.12253 + 0.469702i
\(701\) −3.02432 −0.114227 −0.0571136 0.998368i \(-0.518190\pi\)
−0.0571136 + 0.998368i \(0.518190\pi\)
\(702\) 0.0803895 0.139239i 0.00303411 0.00525523i
\(703\) 2.97657 + 5.15557i 0.112263 + 0.194446i
\(704\) 2.35349 + 4.07636i 0.0887003 + 0.153633i
\(705\) 59.3519 102.800i 2.23532 3.87169i
\(706\) −16.3330 −0.614700
\(707\) 26.1543 19.9199i 0.983634 0.749163i
\(708\) −8.34518 −0.313631
\(709\) 22.7334 39.3755i 0.853772 1.47878i −0.0240072 0.999712i \(-0.507642\pi\)
0.877779 0.479065i \(-0.159024\pi\)
\(710\) 12.9412 + 22.4147i 0.485673 + 0.841210i
\(711\) 6.61751 + 11.4619i 0.248176 + 0.429853i
\(712\) −6.63308 + 11.4888i −0.248585 + 0.430562i
\(713\) 2.10543 0.0788489
\(714\) 14.2255 10.8345i 0.532375 0.405472i
\(715\) 37.2630 1.39356
\(716\) −0.602699 + 1.04391i −0.0225239 + 0.0390126i
\(717\) 0.915519 + 1.58572i 0.0341907 + 0.0592200i
\(718\) 5.89004 + 10.2019i 0.219814 + 0.380730i
\(719\) −15.0720 + 26.1055i −0.562092 + 0.973572i 0.435221 + 0.900323i \(0.356670\pi\)
−0.997314 + 0.0732489i \(0.976663\pi\)
\(720\) 12.2876 0.457934
\(721\) −39.4706 16.5158i −1.46996 0.615081i
\(722\) −2.67514 −0.0995585
\(723\) −11.0149 + 19.0784i −0.409650 + 0.709534i
\(724\) −3.47553 6.01979i −0.129167 0.223724i
\(725\) 6.08417 + 10.5381i 0.225960 + 0.391375i
\(726\) 13.6235 23.5965i 0.505614 0.875749i
\(727\) 45.6599 1.69343 0.846717 0.532044i \(-0.178576\pi\)
0.846717 + 0.532044i \(0.178576\pi\)
\(728\) 0.641780 + 5.01410i 0.0237860 + 0.185835i
\(729\) −26.3763 −0.976901
\(730\) 28.0160 48.5251i 1.03692 1.79599i
\(731\) −10.8544 18.8004i −0.401465 0.695357i
\(732\) 13.9454 + 24.1541i 0.515436 + 0.892761i
\(733\) 13.6729 23.6822i 0.505020 0.874721i −0.494963 0.868914i \(-0.664818\pi\)
0.999983 0.00580686i \(-0.00184839\pi\)
\(734\) 35.6438 1.31564
\(735\) 68.5577 17.8424i 2.52879 0.658127i
\(736\) −2.17268 −0.0800862
\(737\) −5.35595 + 9.27677i −0.197289 + 0.341714i
\(738\) −15.5307 26.9000i −0.571694 0.990204i
\(739\) −24.9583 43.2291i −0.918106 1.59021i −0.802289 0.596936i \(-0.796385\pi\)
−0.115817 0.993271i \(-0.536949\pi\)
\(740\) 3.05250 5.28708i 0.112212 0.194357i
\(741\) 18.8548 0.692649
\(742\) 0.934086 + 7.29783i 0.0342914 + 0.267912i
\(743\) 28.6655 1.05164 0.525818 0.850597i \(-0.323759\pi\)
0.525818 + 0.850597i \(0.323759\pi\)
\(744\) −1.18342 + 2.04974i −0.0433863 + 0.0751472i
\(745\) 15.5344 + 26.9064i 0.569137 + 0.985774i
\(746\) −8.87414 15.3705i −0.324905 0.562753i
\(747\) 8.98565 15.5636i 0.328768 0.569443i
\(748\) −13.0249 −0.476236
\(749\) 25.9314 + 10.8506i 0.947512 + 0.396471i
\(750\) −72.5450 −2.64897
\(751\) 9.51580 16.4818i 0.347236 0.601431i −0.638521 0.769604i \(-0.720453\pi\)
0.985757 + 0.168173i \(0.0537868\pi\)
\(752\) −5.86469 10.1579i −0.213863 0.370422i
\(753\) −35.5582 61.5887i −1.29581 2.24442i
\(754\) −0.955306 + 1.65464i −0.0347902 + 0.0602584i
\(755\) 39.0239 1.42023
\(756\) −0.177120 + 0.134899i −0.00644178 + 0.00490624i
\(757\) −9.39694 −0.341538 −0.170769 0.985311i \(-0.554625\pi\)
−0.170769 + 0.985311i \(0.554625\pi\)
\(758\) 7.61317 13.1864i 0.276523 0.478951i
\(759\) 12.4892 + 21.6319i 0.453328 + 0.785187i
\(760\) −8.37064 14.4984i −0.303635 0.525911i
\(761\) 5.37464 9.30916i 0.194831 0.337457i −0.752014 0.659147i \(-0.770918\pi\)
0.946845 + 0.321690i \(0.104251\pi\)
\(762\) −13.3451 −0.483441
\(763\) −12.8368 + 9.77687i −0.464723 + 0.353946i
\(764\) −6.80847 −0.246322
\(765\) −17.0008 + 29.4463i −0.614667 + 1.06463i
\(766\) 7.90588 + 13.6934i 0.285651 + 0.494762i
\(767\) 3.26402 + 5.65345i 0.117857 + 0.204134i
\(768\) 1.22122 2.11522i 0.0440671 0.0763265i
\(769\) 39.3774 1.41998 0.709992 0.704209i \(-0.248698\pi\)
0.709992 + 0.704209i \(0.248698\pi\)
\(770\) −47.6014 19.9180i −1.71544 0.717796i
\(771\) 56.7321 2.04316
\(772\) 1.94832 3.37459i 0.0701216 0.121454i
\(773\) 9.52357 + 16.4953i 0.342539 + 0.593295i 0.984903 0.173104i \(-0.0553798\pi\)
−0.642365 + 0.766399i \(0.722046\pi\)
\(774\) −11.6327 20.1484i −0.418127 0.724218i