Properties

Label 420.2.l.f.239.8
Level $420$
Weight $2$
Character 420.239
Analytic conductor $3.354$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 420 = 2^{2} \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 420.l (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.35371688489\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: 8.0.386672896.3
Defining polynomial: \( x^{8} - x^{6} - 2x^{5} + 2x^{4} - 4x^{3} - 4x^{2} + 16 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 239.8
Root \(-1.19503 + 0.756243i\) of defining polynomial
Character \(\chi\) \(=\) 420.239
Dual form 420.2.l.f.239.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19503 + 0.756243i) q^{2} +(-0.356193 + 1.69503i) q^{3} +(0.856193 + 1.80747i) q^{4} +(1.00000 + 2.00000i) q^{5} +(-1.70752 + 1.75624i) q^{6} +1.00000 q^{7} +(-0.343707 + 2.80747i) q^{8} +(-2.74625 - 1.20752i) q^{9} +O(q^{10})\) \(q+(1.19503 + 0.756243i) q^{2} +(-0.356193 + 1.69503i) q^{3} +(0.856193 + 1.80747i) q^{4} +(1.00000 + 2.00000i) q^{5} +(-1.70752 + 1.75624i) q^{6} +1.00000 q^{7} +(-0.343707 + 2.80747i) q^{8} +(-2.74625 - 1.20752i) q^{9} +(-0.317456 + 3.14630i) q^{10} -0.712386 q^{11} +(-3.36868 + 0.807466i) q^{12} -6.41503i q^{13} +(1.19503 + 0.756243i) q^{14} +(-3.74625 + 0.982644i) q^{15} +(-2.53387 + 3.09508i) q^{16} +5.49251 q^{17} +(-2.36868 - 3.51985i) q^{18} -0.975028i q^{19} +(-2.75874 + 3.51985i) q^{20} +(-0.356193 + 1.69503i) q^{21} +(-0.851323 - 0.538737i) q^{22} -5.80509i q^{23} +(-4.63631 - 1.58259i) q^{24} +(-3.00000 + 4.00000i) q^{25} +(4.85132 - 7.66616i) q^{26} +(3.02497 - 4.22487i) q^{27} +(0.856193 + 1.80747i) q^{28} +6.41503i q^{29} +(-5.22000 - 1.65879i) q^{30} +0.244852i q^{31} +(-5.36868 + 1.78249i) q^{32} +(0.253747 - 1.20752i) q^{33} +(6.56371 + 4.15367i) q^{34} +(1.00000 + 2.00000i) q^{35} +(-0.168779 - 5.99763i) q^{36} +5.42477i q^{37} +(0.737358 - 1.16519i) q^{38} +(10.8737 + 2.28499i) q^{39} +(-5.95864 + 2.12005i) q^{40} +1.42477i q^{41} +(-1.70752 + 1.75624i) q^{42} -8.20489 q^{43} +(-0.609940 - 1.28761i) q^{44} +(-0.331221 - 6.70002i) q^{45} +(4.39006 - 6.93726i) q^{46} -3.39006i q^{47} +(-4.34371 - 5.39743i) q^{48} +1.00000 q^{49} +(-6.61006 + 2.51139i) q^{50} +(-1.95639 + 9.30996i) q^{51} +(11.5950 - 5.49251i) q^{52} +4.84954 q^{53} +(6.80996 - 2.76123i) q^{54} +(-0.712386 - 1.42477i) q^{55} +(-0.343707 + 2.80747i) q^{56} +(1.65270 + 0.347298i) q^{57} +(-4.85132 + 7.66616i) q^{58} +7.47472 q^{59} +(-4.98361 - 5.92989i) q^{60} -1.26982 q^{61} +(-0.185168 + 0.292606i) q^{62} +(-2.74625 - 1.20752i) q^{63} +(-7.76373 - 1.92989i) q^{64} +(12.8301 - 6.41503i) q^{65} +(1.21641 - 1.25112i) q^{66} +13.0350 q^{67} +(4.70265 + 9.92752i) q^{68} +(9.83980 + 2.06773i) q^{69} +(-0.317456 + 3.14630i) q^{70} -8.00000 q^{71} +(4.33397 - 7.29498i) q^{72} -8.00000i q^{73} +(-4.10245 + 6.48277i) q^{74} +(-5.71154 - 6.50986i) q^{75} +(1.76233 - 0.834812i) q^{76} -0.712386 q^{77} +(11.2664 + 10.9538i) q^{78} -15.0002i q^{79} +(-8.72403 - 1.97265i) q^{80} +(6.08381 + 6.63229i) q^{81} +(-1.07747 + 1.70265i) q^{82} +7.96004i q^{83} +(-3.36868 + 0.807466i) q^{84} +(5.49251 + 10.9850i) q^{85} +(-9.80509 - 6.20489i) q^{86} +(-10.8737 - 2.28499i) q^{87} +(0.244852 - 2.00000i) q^{88} +6.25484i q^{89} +(4.67103 - 8.25721i) q^{90} -6.41503i q^{91} +(10.4925 - 4.97028i) q^{92} +(-0.415032 - 0.0872147i) q^{93} +(2.56371 - 4.05122i) q^{94} +(1.95006 - 0.975028i) q^{95} +(-1.10909 - 9.73498i) q^{96} -18.0946i q^{97} +(1.19503 + 0.756243i) q^{98} +(1.95639 + 0.860218i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 2 q^{3} + 2 q^{4} + 8 q^{5} + 4 q^{6} + 8 q^{7} - 6 q^{8} + 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q + 2 q^{3} + 2 q^{4} + 8 q^{5} + 4 q^{6} + 8 q^{7} - 6 q^{8} + 2 q^{9} - 4 q^{10} + 4 q^{11} - 14 q^{12} - 6 q^{15} - 6 q^{16} - 4 q^{17} - 6 q^{18} + 10 q^{20} + 2 q^{21} + 6 q^{22} + 6 q^{24} - 24 q^{25} + 26 q^{26} + 8 q^{27} + 2 q^{28} - 16 q^{30} - 30 q^{32} + 26 q^{33} + 30 q^{34} + 8 q^{35} + 10 q^{36} - 20 q^{38} + 18 q^{39} - 14 q^{40} + 4 q^{42} - 8 q^{43} - 24 q^{44} - 14 q^{45} + 16 q^{46} - 38 q^{48} + 8 q^{49} - 8 q^{50} - 14 q^{51} + 16 q^{52} + 8 q^{54} + 4 q^{55} - 6 q^{56} + 20 q^{57} - 26 q^{58} + 8 q^{59} + 10 q^{60} - 16 q^{61} - 40 q^{62} + 2 q^{63} + 26 q^{64} + 32 q^{65} - 6 q^{66} - 24 q^{67} + 12 q^{68} + 24 q^{69} - 4 q^{70} - 64 q^{71} + 22 q^{72} - 4 q^{74} - 22 q^{75} - 28 q^{76} + 4 q^{77} + 42 q^{78} - 38 q^{80} + 2 q^{81} + 4 q^{82} - 14 q^{84} - 4 q^{85} - 24 q^{86} - 18 q^{87} + 24 q^{88} - 6 q^{90} + 36 q^{92} + 32 q^{93} - 2 q^{94} + 48 q^{95} - 14 q^{96} + 14 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/420\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(241\) \(281\) \(337\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19503 + 0.756243i 0.845014 + 0.534745i
\(3\) −0.356193 + 1.69503i −0.205648 + 0.978626i
\(4\) 0.856193 + 1.80747i 0.428097 + 0.903733i
\(5\) 1.00000 + 2.00000i 0.447214 + 0.894427i
\(6\) −1.70752 + 1.75624i −0.697090 + 0.716983i
\(7\) 1.00000 0.377964
\(8\) −0.343707 + 2.80747i −0.121519 + 0.992589i
\(9\) −2.74625 1.20752i −0.915418 0.402505i
\(10\) −0.317456 + 3.14630i −0.100388 + 0.994948i
\(11\) −0.712386 −0.214793 −0.107396 0.994216i \(-0.534251\pi\)
−0.107396 + 0.994216i \(0.534251\pi\)
\(12\) −3.36868 + 0.807466i −0.972454 + 0.233095i
\(13\) 6.41503i 1.77921i −0.456731 0.889605i \(-0.650980\pi\)
0.456731 0.889605i \(-0.349020\pi\)
\(14\) 1.19503 + 0.756243i 0.319385 + 0.202114i
\(15\) −3.74625 + 0.982644i −0.967278 + 0.253718i
\(16\) −2.53387 + 3.09508i −0.633467 + 0.773770i
\(17\) 5.49251 1.33213 0.666064 0.745894i \(-0.267978\pi\)
0.666064 + 0.745894i \(0.267978\pi\)
\(18\) −2.36868 3.51985i −0.558303 0.829637i
\(19\) 0.975028i 0.223687i −0.993726 0.111843i \(-0.964325\pi\)
0.993726 0.111843i \(-0.0356755\pi\)
\(20\) −2.75874 + 3.51985i −0.616873 + 0.787063i
\(21\) −0.356193 + 1.69503i −0.0777277 + 0.369886i
\(22\) −0.851323 0.538737i −0.181503 0.114859i
\(23\) 5.80509i 1.21045i −0.796056 0.605223i \(-0.793084\pi\)
0.796056 0.605223i \(-0.206916\pi\)
\(24\) −4.63631 1.58259i −0.946383 0.323046i
\(25\) −3.00000 + 4.00000i −0.600000 + 0.800000i
\(26\) 4.85132 7.66616i 0.951423 1.50346i
\(27\) 3.02497 4.22487i 0.582156 0.813077i
\(28\) 0.856193 + 1.80747i 0.161805 + 0.341579i
\(29\) 6.41503i 1.19124i 0.803266 + 0.595621i \(0.203094\pi\)
−0.803266 + 0.595621i \(0.796906\pi\)
\(30\) −5.22000 1.65879i −0.953038 0.302852i
\(31\) 0.244852i 0.0439768i 0.999758 + 0.0219884i \(0.00699968\pi\)
−0.999758 + 0.0219884i \(0.993000\pi\)
\(32\) −5.36868 + 1.78249i −0.949057 + 0.315103i
\(33\) 0.253747 1.20752i 0.0441717 0.210202i
\(34\) 6.56371 + 4.15367i 1.12567 + 0.712348i
\(35\) 1.00000 + 2.00000i 0.169031 + 0.338062i
\(36\) −0.168779 5.99763i −0.0281298 0.999604i
\(37\) 5.42477i 0.891827i 0.895076 + 0.445914i \(0.147121\pi\)
−0.895076 + 0.445914i \(0.852879\pi\)
\(38\) 0.737358 1.16519i 0.119615 0.189018i
\(39\) 10.8737 + 2.28499i 1.74118 + 0.365891i
\(40\) −5.95864 + 2.12005i −0.942144 + 0.335210i
\(41\) 1.42477i 0.222512i 0.993792 + 0.111256i \(0.0354874\pi\)
−0.993792 + 0.111256i \(0.964513\pi\)
\(42\) −1.70752 + 1.75624i −0.263475 + 0.270994i
\(43\) −8.20489 −1.25123 −0.625617 0.780130i \(-0.715153\pi\)
−0.625617 + 0.780130i \(0.715153\pi\)
\(44\) −0.609940 1.28761i −0.0919519 0.194115i
\(45\) −0.331221 6.70002i −0.0493755 0.998780i
\(46\) 4.39006 6.93726i 0.647279 1.02284i
\(47\) 3.39006i 0.494491i −0.968953 0.247246i \(-0.920475\pi\)
0.968953 0.247246i \(-0.0795254\pi\)
\(48\) −4.34371 5.39743i −0.626960 0.779051i
\(49\) 1.00000 0.142857
\(50\) −6.61006 + 2.51139i −0.934804 + 0.355164i
\(51\) −1.95639 + 9.30996i −0.273950 + 1.30366i
\(52\) 11.5950 5.49251i 1.60793 0.761674i
\(53\) 4.84954 0.666136 0.333068 0.942903i \(-0.391916\pi\)
0.333068 + 0.942903i \(0.391916\pi\)
\(54\) 6.80996 2.76123i 0.926718 0.375756i
\(55\) −0.712386 1.42477i −0.0960581 0.192116i
\(56\) −0.343707 + 2.80747i −0.0459298 + 0.375163i
\(57\) 1.65270 + 0.347298i 0.218906 + 0.0460008i
\(58\) −4.85132 + 7.66616i −0.637010 + 1.00662i
\(59\) 7.47472 0.973125 0.486563 0.873646i \(-0.338251\pi\)
0.486563 + 0.873646i \(0.338251\pi\)
\(60\) −4.98361 5.92989i −0.643381 0.765546i
\(61\) −1.26982 −0.162584 −0.0812922 0.996690i \(-0.525905\pi\)
−0.0812922 + 0.996690i \(0.525905\pi\)
\(62\) −0.185168 + 0.292606i −0.0235163 + 0.0371610i
\(63\) −2.74625 1.20752i −0.345995 0.152133i
\(64\) −7.76373 1.92989i −0.970466 0.241237i
\(65\) 12.8301 6.41503i 1.59137 0.795687i
\(66\) 1.21641 1.25112i 0.149730 0.154003i
\(67\) 13.0350 1.59247 0.796237 0.604985i \(-0.206821\pi\)
0.796237 + 0.604985i \(0.206821\pi\)
\(68\) 4.70265 + 9.92752i 0.570280 + 1.20389i
\(69\) 9.83980 + 2.06773i 1.18457 + 0.248926i
\(70\) −0.317456 + 3.14630i −0.0379433 + 0.376055i
\(71\) −8.00000 −0.949425 −0.474713 0.880141i \(-0.657448\pi\)
−0.474713 + 0.880141i \(0.657448\pi\)
\(72\) 4.33397 7.29498i 0.510763 0.859722i
\(73\) 8.00000i 0.936329i −0.883641 0.468165i \(-0.844915\pi\)
0.883641 0.468165i \(-0.155085\pi\)
\(74\) −4.10245 + 6.48277i −0.476900 + 0.753606i
\(75\) −5.71154 6.50986i −0.659512 0.751694i
\(76\) 1.76233 0.834812i 0.202153 0.0957595i
\(77\) −0.712386 −0.0811839
\(78\) 11.2664 + 10.9538i 1.27566 + 1.24027i
\(79\) 15.0002i 1.68766i −0.536611 0.843830i \(-0.680296\pi\)
0.536611 0.843830i \(-0.319704\pi\)
\(80\) −8.72403 1.97265i −0.975376 0.220549i
\(81\) 6.08381 + 6.63229i 0.675979 + 0.736921i
\(82\) −1.07747 + 1.70265i −0.118987 + 0.188026i
\(83\) 7.96004i 0.873728i 0.899528 + 0.436864i \(0.143911\pi\)
−0.899528 + 0.436864i \(0.856089\pi\)
\(84\) −3.36868 + 0.807466i −0.367553 + 0.0881018i
\(85\) 5.49251 + 10.9850i 0.595746 + 1.19149i
\(86\) −9.80509 6.20489i −1.05731 0.669091i
\(87\) −10.8737 2.28499i −1.16578 0.244977i
\(88\) 0.244852 2.00000i 0.0261013 0.213201i
\(89\) 6.25484i 0.663011i 0.943453 + 0.331506i \(0.107557\pi\)
−0.943453 + 0.331506i \(0.892443\pi\)
\(90\) 4.67103 8.25721i 0.492369 0.870386i
\(91\) 6.41503i 0.672478i
\(92\) 10.4925 4.97028i 1.09392 0.518187i
\(93\) −0.415032 0.0872147i −0.0430368 0.00904374i
\(94\) 2.56371 4.05122i 0.264426 0.417852i
\(95\) 1.95006 0.975028i 0.200072 0.100036i
\(96\) −1.10909 9.73498i −0.113196 0.993573i
\(97\) 18.0946i 1.83723i −0.395151 0.918616i \(-0.629308\pi\)
0.395151 0.918616i \(-0.370692\pi\)
\(98\) 1.19503 + 0.756243i 0.120716 + 0.0763921i
\(99\) 1.95639 + 0.860218i 0.196625 + 0.0864551i
\(100\) −9.79844 1.99763i −0.979844 0.199763i
\(101\) 4.69460i 0.467130i −0.972341 0.233565i \(-0.924961\pi\)
0.972341 0.233565i \(-0.0750391\pi\)
\(102\) −9.37854 + 9.64618i −0.928614 + 0.955114i
\(103\) 2.66244 0.262338 0.131169 0.991360i \(-0.458127\pi\)
0.131169 + 0.991360i \(0.458127\pi\)
\(104\) 18.0100 + 2.20489i 1.76602 + 0.216207i
\(105\) −3.74625 + 0.982644i −0.365597 + 0.0958962i
\(106\) 5.79535 + 3.66743i 0.562894 + 0.356213i
\(107\) 15.2299i 1.47233i 0.676804 + 0.736163i \(0.263364\pi\)
−0.676804 + 0.736163i \(0.736636\pi\)
\(108\) 10.2263 + 1.85023i 0.984024 + 0.178038i
\(109\) −1.49251 −0.142956 −0.0714781 0.997442i \(-0.522772\pi\)
−0.0714781 + 0.997442i \(0.522772\pi\)
\(110\) 0.226151 2.24138i 0.0215627 0.213707i
\(111\) −9.19515 1.93227i −0.872765 0.183403i
\(112\) −2.53387 + 3.09508i −0.239428 + 0.292458i
\(113\) −8.25484 −0.776550 −0.388275 0.921544i \(-0.626929\pi\)
−0.388275 + 0.921544i \(0.626929\pi\)
\(114\) 1.71239 + 1.66488i 0.160380 + 0.155930i
\(115\) 11.6102 5.80509i 1.08266 0.541328i
\(116\) −11.5950 + 5.49251i −1.07656 + 0.509966i
\(117\) −7.74625 + 17.6173i −0.716141 + 1.62872i
\(118\) 8.93251 + 5.65270i 0.822304 + 0.520373i
\(119\) 5.49251 0.503497
\(120\) −1.47113 10.8552i −0.134295 0.990941i
\(121\) −10.4925 −0.953864
\(122\) −1.51748 0.960296i −0.137386 0.0869411i
\(123\) −2.41503 0.507494i −0.217756 0.0457592i
\(124\) −0.442562 + 0.209641i −0.0397432 + 0.0188263i
\(125\) −11.0000 2.00000i −0.983870 0.178885i
\(126\) −2.36868 3.51985i −0.211019 0.313573i
\(127\) 9.42477 0.836313 0.418157 0.908375i \(-0.362676\pi\)
0.418157 + 0.908375i \(0.362676\pi\)
\(128\) −7.81842 8.17755i −0.691058 0.722800i
\(129\) 2.92253 13.9075i 0.257314 1.22449i
\(130\) 20.1836 + 2.03649i 1.77022 + 0.178612i
\(131\) −17.6297 −1.54031 −0.770155 0.637856i \(-0.779821\pi\)
−0.770155 + 0.637856i \(0.779821\pi\)
\(132\) 2.39980 0.575228i 0.208876 0.0500671i
\(133\) 0.975028i 0.0845457i
\(134\) 15.5772 + 9.85759i 1.34566 + 0.851566i
\(135\) 11.4747 + 1.82507i 0.987586 + 0.157077i
\(136\) −1.88781 + 15.4200i −0.161879 + 1.32226i
\(137\) −2.73018 −0.233255 −0.116627 0.993176i \(-0.537208\pi\)
−0.116627 + 0.993176i \(0.537208\pi\)
\(138\) 10.1952 + 9.91229i 0.867869 + 0.843790i
\(139\) 0.449744i 0.0381468i 0.999818 + 0.0190734i \(0.00607162\pi\)
−0.999818 + 0.0190734i \(0.993928\pi\)
\(140\) −2.75874 + 3.51985i −0.233156 + 0.297482i
\(141\) 5.74625 + 1.20752i 0.483922 + 0.101691i
\(142\) −9.56024 6.04994i −0.802277 0.507700i
\(143\) 4.56998i 0.382161i
\(144\) 10.6960 5.44019i 0.891333 0.453349i
\(145\) −12.8301 + 6.41503i −1.06548 + 0.532739i
\(146\) 6.04994 9.56024i 0.500697 0.791211i
\(147\) −0.356193 + 1.69503i −0.0293783 + 0.139804i
\(148\) −9.80509 + 4.64465i −0.805974 + 0.381788i
\(149\) 1.15046i 0.0942490i 0.998889 + 0.0471245i \(0.0150057\pi\)
−0.998889 + 0.0471245i \(0.984994\pi\)
\(150\) −1.90242 12.0988i −0.155332 0.987862i
\(151\) 1.40954i 0.114707i 0.998354 + 0.0573534i \(0.0182662\pi\)
−0.998354 + 0.0573534i \(0.981734\pi\)
\(152\) 2.73736 + 0.335124i 0.222029 + 0.0271822i
\(153\) −15.0838 6.63229i −1.21945 0.536189i
\(154\) −0.851323 0.538737i −0.0686015 0.0434127i
\(155\) −0.489704 + 0.244852i −0.0393340 + 0.0196670i
\(156\) 5.17992 + 21.6102i 0.414726 + 1.73020i
\(157\) 1.15046i 0.0918163i 0.998946 + 0.0459082i \(0.0146182\pi\)
−0.998946 + 0.0459082i \(0.985382\pi\)
\(158\) 11.3438 17.9257i 0.902467 1.42610i
\(159\) −1.72737 + 8.22012i −0.136990 + 0.651898i
\(160\) −8.93367 8.95486i −0.706268 0.707944i
\(161\) 5.80509i 0.457505i
\(162\) 2.25471 + 12.5266i 0.177147 + 0.984184i
\(163\) −15.4747 −1.21207 −0.606037 0.795437i \(-0.707242\pi\)
−0.606037 + 0.795437i \(0.707242\pi\)
\(164\) −2.57523 + 1.21988i −0.201091 + 0.0952566i
\(165\) 2.66878 0.700022i 0.207764 0.0544966i
\(166\) −6.01972 + 9.51249i −0.467221 + 0.738312i
\(167\) 14.9698i 1.15840i −0.815187 0.579198i \(-0.803366\pi\)
0.815187 0.579198i \(-0.196634\pi\)
\(168\) −4.63631 1.58259i −0.357699 0.122100i
\(169\) −28.1526 −2.16559
\(170\) −1.74363 + 17.2811i −0.133730 + 1.32540i
\(171\) −1.17736 + 2.67767i −0.0900351 + 0.204767i
\(172\) −7.02497 14.8301i −0.535649 1.13078i
\(173\) 9.49251 0.721702 0.360851 0.932624i \(-0.382486\pi\)
0.360851 + 0.932624i \(0.382486\pi\)
\(174\) −11.2664 10.9538i −0.854100 0.830403i
\(175\) −3.00000 + 4.00000i −0.226779 + 0.302372i
\(176\) 1.80509 2.20489i 0.136064 0.166200i
\(177\) −2.66244 + 12.6699i −0.200121 + 0.952326i
\(178\) −4.73018 + 7.47472i −0.354542 + 0.560254i
\(179\) −3.61018 −0.269838 −0.134919 0.990857i \(-0.543077\pi\)
−0.134919 + 0.990857i \(0.543077\pi\)
\(180\) 11.8265 6.33518i 0.881493 0.472197i
\(181\) 11.5602 0.859266 0.429633 0.903004i \(-0.358643\pi\)
0.429633 + 0.903004i \(0.358643\pi\)
\(182\) 4.85132 7.66616i 0.359604 0.568253i
\(183\) 0.452303 2.15239i 0.0334352 0.159109i
\(184\) 16.2976 + 1.99525i 1.20147 + 0.147092i
\(185\) −10.8495 + 5.42477i −0.797674 + 0.398837i
\(186\) −0.430020 0.418089i −0.0315306 0.0306558i
\(187\) −3.91279 −0.286131
\(188\) 6.12742 2.90255i 0.446888 0.211690i
\(189\) 3.02497 4.22487i 0.220034 0.307314i
\(190\) 3.06773 + 0.309529i 0.222557 + 0.0224556i
\(191\) 26.8978 1.94626 0.973128 0.230264i \(-0.0739590\pi\)
0.973128 + 0.230264i \(0.0739590\pi\)
\(192\) 6.03661 12.4723i 0.435655 0.900114i
\(193\) 10.1549i 0.730969i −0.930817 0.365485i \(-0.880903\pi\)
0.930817 0.365485i \(-0.119097\pi\)
\(194\) 13.6839 21.6236i 0.982450 1.55249i
\(195\) 6.30369 + 24.0323i 0.451417 + 1.72099i
\(196\) 0.856193 + 1.80747i 0.0611566 + 0.129105i
\(197\) −8.15495 −0.581016 −0.290508 0.956873i \(-0.593824\pi\)
−0.290508 + 0.956873i \(0.593824\pi\)
\(198\) 1.68741 + 2.50749i 0.119919 + 0.178200i
\(199\) 7.96004i 0.564272i 0.959374 + 0.282136i \(0.0910430\pi\)
−0.959374 + 0.282136i \(0.908957\pi\)
\(200\) −10.1987 9.79723i −0.721160 0.692769i
\(201\) −4.64296 + 22.0946i −0.327489 + 1.55844i
\(202\) 3.55026 5.61018i 0.249795 0.394731i
\(203\) 6.41503i 0.450247i
\(204\) −18.5025 + 4.43501i −1.29543 + 0.310513i
\(205\) −2.84954 + 1.42477i −0.199021 + 0.0995104i
\(206\) 3.18170 + 2.01345i 0.221679 + 0.140284i
\(207\) −7.00974 + 15.9423i −0.487211 + 1.10806i
\(208\) 19.8550 + 16.2548i 1.37670 + 1.12707i
\(209\) 0.694597i 0.0480462i
\(210\) −5.22000 1.65879i −0.360214 0.114467i
\(211\) 14.9698i 1.03056i −0.857021 0.515281i \(-0.827688\pi\)
0.857021 0.515281i \(-0.172312\pi\)
\(212\) 4.15215 + 8.76539i 0.285171 + 0.602009i
\(213\) 2.84954 13.5602i 0.195248 0.929132i
\(214\) −11.5175 + 18.2001i −0.787319 + 1.24414i
\(215\) −8.20489 16.4098i −0.559569 1.11914i
\(216\) 10.8215 + 9.94462i 0.736308 + 0.676646i
\(217\) 0.244852i 0.0166217i
\(218\) −1.78359 1.12870i −0.120800 0.0764450i
\(219\) 13.5602 + 2.84954i 0.916316 + 0.192554i
\(220\) 1.96529 2.50749i 0.132500 0.169055i
\(221\) 35.2346i 2.37014i
\(222\) −9.52722 9.26289i −0.639425 0.621684i
\(223\) −2.62686 −0.175908 −0.0879539 0.996125i \(-0.528033\pi\)
−0.0879539 + 0.996125i \(0.528033\pi\)
\(224\) −5.36868 + 1.78249i −0.358710 + 0.119098i
\(225\) 13.0688 7.36246i 0.871255 0.490831i
\(226\) −9.86478 6.24266i −0.656195 0.415256i
\(227\) 3.39006i 0.225006i 0.993651 + 0.112503i \(0.0358868\pi\)
−0.993651 + 0.112503i \(0.964113\pi\)
\(228\) 0.787302 + 3.28456i 0.0521403 + 0.217525i
\(229\) 24.5647 1.62328 0.811642 0.584156i \(-0.198574\pi\)
0.811642 + 0.584156i \(0.198574\pi\)
\(230\) 18.2646 + 1.84286i 1.20433 + 0.121515i
\(231\) 0.253747 1.20752i 0.0166953 0.0794487i
\(232\) −18.0100 2.20489i −1.18241 0.144758i
\(233\) −21.0849 −1.38132 −0.690659 0.723181i \(-0.742679\pi\)
−0.690659 + 0.723181i \(0.742679\pi\)
\(234\) −22.5800 + 15.1952i −1.47610 + 0.993338i
\(235\) 6.78012 3.39006i 0.442286 0.221143i
\(236\) 6.39980 + 13.5103i 0.416592 + 0.879445i
\(237\) 25.4259 + 5.34298i 1.65159 + 0.347064i
\(238\) 6.56371 + 4.15367i 0.425462 + 0.269242i
\(239\) −12.3581 −0.799382 −0.399691 0.916650i \(-0.630883\pi\)
−0.399691 + 0.916650i \(0.630883\pi\)
\(240\) 6.45115 14.0848i 0.416420 0.909173i
\(241\) −14.9655 −0.964015 −0.482007 0.876167i \(-0.660092\pi\)
−0.482007 + 0.876167i \(0.660092\pi\)
\(242\) −12.5389 7.93488i −0.806028 0.510074i
\(243\) −13.4089 + 7.94987i −0.860184 + 0.509984i
\(244\) −1.08721 2.29516i −0.0696018 0.146933i
\(245\) 1.00000 + 2.00000i 0.0638877 + 0.127775i
\(246\) −2.50225 2.43282i −0.159537 0.155111i
\(247\) −6.25484 −0.397986
\(248\) −0.687414 0.0841574i −0.0436508 0.00534400i
\(249\) −13.4925 2.83531i −0.855053 0.179681i
\(250\) −11.6328 10.7087i −0.735726 0.677280i
\(251\) 7.47472 0.471800 0.235900 0.971777i \(-0.424196\pi\)
0.235900 + 0.971777i \(0.424196\pi\)
\(252\) −0.168779 5.99763i −0.0106321 0.377815i
\(253\) 4.13547i 0.259995i
\(254\) 11.2629 + 7.12742i 0.706696 + 0.447214i
\(255\) −20.5763 + 5.39718i −1.28854 + 0.337984i
\(256\) −3.15904 15.6850i −0.197440 0.980315i
\(257\) −22.5097 −1.40411 −0.702057 0.712120i \(-0.747735\pi\)
−0.702057 + 0.712120i \(0.747735\pi\)
\(258\) 14.0100 14.4098i 0.872223 0.897114i
\(259\) 5.42477i 0.337079i
\(260\) 22.5800 + 17.6974i 1.40035 + 1.09755i
\(261\) 7.74625 17.6173i 0.479481 1.09048i
\(262\) −21.0680 13.3323i −1.30158 0.823673i
\(263\) 9.17992i 0.566058i 0.959111 + 0.283029i \(0.0913393\pi\)
−0.959111 + 0.283029i \(0.908661\pi\)
\(264\) 3.30285 + 1.12742i 0.203276 + 0.0693878i
\(265\) 4.84954 + 9.69909i 0.297905 + 0.595810i
\(266\) 0.737358 1.16519i 0.0452103 0.0714422i
\(267\) −10.6021 2.22793i −0.648840 0.136347i
\(268\) 11.1604 + 23.5602i 0.681732 + 1.43917i
\(269\) 19.6796i 1.19989i 0.800042 + 0.599943i \(0.204810\pi\)
−0.800042 + 0.599943i \(0.795190\pi\)
\(270\) 12.3324 + 10.8587i 0.750528 + 0.660839i
\(271\) 29.3459i 1.78263i 0.453381 + 0.891317i \(0.350218\pi\)
−0.453381 + 0.891317i \(0.649782\pi\)
\(272\) −13.9173 + 16.9997i −0.843859 + 1.03076i
\(273\) 10.8737 + 2.28499i 0.658105 + 0.138294i
\(274\) −3.26264 2.06468i −0.197103 0.124732i
\(275\) 2.13716 2.84954i 0.128876 0.171834i
\(276\) 4.68741 + 19.5555i 0.282149 + 1.17710i
\(277\) 6.11937i 0.367677i −0.982956 0.183839i \(-0.941148\pi\)
0.982956 0.183839i \(-0.0588524\pi\)
\(278\) −0.340116 + 0.537458i −0.0203988 + 0.0322346i
\(279\) 0.295663 0.672426i 0.0177009 0.0402571i
\(280\) −5.95864 + 2.12005i −0.356097 + 0.126697i
\(281\) 0.434513i 0.0259209i 0.999916 + 0.0129604i \(0.00412555\pi\)
−0.999916 + 0.0129604i \(0.995874\pi\)
\(282\) 5.95377 + 5.78858i 0.354542 + 0.344705i
\(283\) 1.72737 0.102682 0.0513409 0.998681i \(-0.483651\pi\)
0.0513409 + 0.998681i \(0.483651\pi\)
\(284\) −6.84954 14.4597i −0.406446 0.858027i
\(285\) 0.958105 + 3.65270i 0.0567533 + 0.216367i
\(286\) −3.45602 + 5.46126i −0.204358 + 0.322931i
\(287\) 1.42477i 0.0841017i
\(288\) 16.8961 + 1.58759i 0.995615 + 0.0935494i
\(289\) 13.1676 0.774566
\(290\) −20.1836 2.03649i −1.18522 0.119587i
\(291\) 30.6710 + 6.44519i 1.79796 + 0.377823i
\(292\) 14.4597 6.84954i 0.846192 0.400839i
\(293\) −23.1526 −1.35259 −0.676296 0.736630i \(-0.736416\pi\)
−0.676296 + 0.736630i \(0.736416\pi\)
\(294\) −1.70752 + 1.75624i −0.0995844 + 0.102426i
\(295\) 7.47472 + 14.9494i 0.435195 + 0.870390i
\(296\) −15.2299 1.86453i −0.885218 0.108374i
\(297\) −2.15495 + 3.00974i −0.125043 + 0.174643i
\(298\) −0.870024 + 1.37483i −0.0503991 + 0.0796417i
\(299\) −37.2398 −2.15364
\(300\) 6.87617 15.8971i 0.396996 0.917820i
\(301\) −8.20489 −0.472922
\(302\) −1.06596 + 1.68444i −0.0613388 + 0.0969288i
\(303\) 7.95748 + 1.67218i 0.457145 + 0.0960644i
\(304\) 3.01779 + 2.47059i 0.173082 + 0.141698i
\(305\) −1.26982 2.53965i −0.0727099 0.145420i
\(306\) −13.0100 19.3328i −0.743731 1.10518i
\(307\) −9.99831 −0.570634 −0.285317 0.958433i \(-0.592099\pi\)
−0.285317 + 0.958433i \(0.592099\pi\)
\(308\) −0.609940 1.28761i −0.0347546 0.0733686i
\(309\) −0.948344 + 4.51292i −0.0539494 + 0.256731i
\(310\) −0.770379 0.0777298i −0.0437546 0.00441476i
\(311\) 26.5647 1.50635 0.753174 0.657821i \(-0.228522\pi\)
0.753174 + 0.657821i \(0.228522\pi\)
\(312\) −10.1524 + 29.7421i −0.574766 + 1.68381i
\(313\) 15.5655i 0.879813i −0.898043 0.439907i \(-0.855012\pi\)
0.898043 0.439907i \(-0.144988\pi\)
\(314\) −0.870024 + 1.37483i −0.0490983 + 0.0775861i
\(315\) −0.331221 6.70002i −0.0186622 0.377503i
\(316\) 27.1124 12.8431i 1.52519 0.722481i
\(317\) 8.98501 0.504649 0.252324 0.967643i \(-0.418805\pi\)
0.252324 + 0.967643i \(0.418805\pi\)
\(318\) −8.28067 + 8.51698i −0.464357 + 0.477608i
\(319\) 4.56998i 0.255870i
\(320\) −3.90395 17.4574i −0.218237 0.975896i
\(321\) −25.8151 5.42477i −1.44086 0.302781i
\(322\) 4.39006 6.93726i 0.244648 0.386598i
\(323\) 5.35535i 0.297979i
\(324\) −6.77872 + 16.6748i −0.376595 + 0.926378i
\(325\) 25.6601 + 19.2451i 1.42337 + 1.06753i
\(326\) −18.4927 11.7026i −1.02422 0.648150i
\(327\) 0.531620 2.52984i 0.0293987 0.139901i
\(328\) −4.00000 0.489704i −0.220863 0.0270394i
\(329\) 3.39006i 0.186900i
\(330\) 3.71866 + 1.18170i 0.204705 + 0.0650503i
\(331\) 3.65014i 0.200630i −0.994956 0.100315i \(-0.968015\pi\)
0.994956 0.100315i \(-0.0319851\pi\)
\(332\) −14.3875 + 6.81533i −0.789617 + 0.374040i
\(333\) 6.55050 14.8978i 0.358965 0.816394i
\(334\) 11.3208 17.8893i 0.619446 0.978861i
\(335\) 13.0350 + 26.0699i 0.712176 + 1.42435i
\(336\) −4.34371 5.39743i −0.236969 0.294454i
\(337\) 25.1400i 1.36946i 0.728796 + 0.684730i \(0.240080\pi\)
−0.728796 + 0.684730i \(0.759920\pi\)
\(338\) −33.6432 21.2902i −1.82995 1.15804i
\(339\) 2.94032 13.9922i 0.159696 0.759952i
\(340\) −15.1524 + 19.3328i −0.821754 + 1.04847i
\(341\) 0.174429i 0.00944588i
\(342\) −3.43195 + 2.30953i −0.185579 + 0.124885i
\(343\) 1.00000 0.0539949
\(344\) 2.82008 23.0350i 0.152049 1.24196i
\(345\) 5.70434 + 21.7473i 0.307111 + 1.17084i
\(346\) 11.3438 + 7.17864i 0.609848 + 0.385926i
\(347\) 15.1144i 0.811382i −0.914010 0.405691i \(-0.867031\pi\)
0.914010 0.405691i \(-0.132969\pi\)
\(348\) −5.17992 21.6102i −0.277673 1.15843i
\(349\) 8.39030 0.449123 0.224561 0.974460i \(-0.427905\pi\)
0.224561 + 0.974460i \(0.427905\pi\)
\(350\) −6.61006 + 2.51139i −0.353323 + 0.134239i
\(351\) −27.1027 19.4053i −1.44663 1.03578i
\(352\) 3.82457 1.26982i 0.203850 0.0676819i
\(353\) 19.0172 1.01218 0.506091 0.862480i \(-0.331090\pi\)
0.506091 + 0.862480i \(0.331090\pi\)
\(354\) −12.7632 + 13.1274i −0.678356 + 0.697714i
\(355\) −8.00000 16.0000i −0.424596 0.849192i
\(356\) −11.3054 + 5.35535i −0.599185 + 0.283833i
\(357\) −1.95639 + 9.30996i −0.103543 + 0.492735i
\(358\) −4.31428 2.73018i −0.228017 0.144294i
\(359\) −17.6601 −0.932066 −0.466033 0.884767i \(-0.654317\pi\)
−0.466033 + 0.884767i \(0.654317\pi\)
\(360\) 18.9239 + 1.37295i 0.997379 + 0.0723610i
\(361\) 18.0493 0.949964
\(362\) 13.8148 + 8.74235i 0.726091 + 0.459488i
\(363\) 3.73736 17.7851i 0.196160 0.933476i
\(364\) 11.5950 5.49251i 0.607741 0.287886i
\(365\) 16.0000 8.00000i 0.837478 0.418739i
\(366\) 2.16824 2.23012i 0.113336 0.116570i
\(367\) 27.2720 1.42359 0.711793 0.702389i \(-0.247883\pi\)
0.711793 + 0.702389i \(0.247883\pi\)
\(368\) 17.9672 + 14.7093i 0.936606 + 0.766777i
\(369\) 1.72044 3.91279i 0.0895623 0.203691i
\(370\) −17.0680 1.72213i −0.887322 0.0895291i
\(371\) 4.84954 0.251776
\(372\) −0.197710 0.824828i −0.0102508 0.0427654i
\(373\) 5.10438i 0.264295i −0.991230 0.132147i \(-0.957813\pi\)
0.991230 0.132147i \(-0.0421872\pi\)
\(374\) −4.67590 2.95902i −0.241785 0.153007i
\(375\) 7.30818 17.9329i 0.377393 0.926053i
\(376\) 9.51748 + 1.16519i 0.490826 + 0.0600900i
\(377\) 41.1526 2.11947
\(378\) 6.80996 2.76123i 0.350267 0.142023i
\(379\) 16.3109i 0.837834i 0.908024 + 0.418917i \(0.137590\pi\)
−0.908024 + 0.418917i \(0.862410\pi\)
\(380\) 3.43195 + 2.68985i 0.176056 + 0.137986i
\(381\) −3.35704 + 15.9753i −0.171986 + 0.818438i
\(382\) 32.1437 + 20.3413i 1.64461 + 1.04075i
\(383\) 25.3492i 1.29529i −0.761944 0.647643i \(-0.775755\pi\)
0.761944 0.647643i \(-0.224245\pi\)
\(384\) 16.6461 10.3397i 0.849465 0.527644i
\(385\) −0.712386 1.42477i −0.0363066 0.0726131i
\(386\) 7.67961 12.1355i 0.390882 0.617679i
\(387\) 22.5327 + 9.90754i 1.14540 + 0.503628i
\(388\) 32.7054 15.4925i 1.66037 0.786513i
\(389\) 12.1141i 0.614210i −0.951676 0.307105i \(-0.900640\pi\)
0.951676 0.307105i \(-0.0993603\pi\)
\(390\) −10.6412 + 33.4865i −0.538837 + 1.69565i
\(391\) 31.8845i 1.61247i
\(392\) −0.343707 + 2.80747i −0.0173598 + 0.141798i
\(393\) 6.27956 29.8828i 0.316762 1.50739i
\(394\) −9.74541 6.16712i −0.490967 0.310695i
\(395\) 30.0005 15.0002i 1.50949 0.754744i
\(396\) 0.120236 + 4.27263i 0.00604207 + 0.214708i
\(397\) 17.5355i 0.880082i −0.897978 0.440041i \(-0.854964\pi\)
0.897978 0.440041i \(-0.145036\pi\)
\(398\) −6.01972 + 9.51249i −0.301742 + 0.476818i
\(399\) 1.65270 + 0.347298i 0.0827386 + 0.0173867i
\(400\) −4.77872 19.4207i −0.238936 0.971035i
\(401\) 16.7054i 0.834230i 0.908854 + 0.417115i \(0.136959\pi\)
−0.908854 + 0.417115i \(0.863041\pi\)
\(402\) −22.2574 + 22.8925i −1.11010 + 1.14178i
\(403\) 1.57073 0.0782439
\(404\) 8.48532 4.01948i 0.422161 0.199977i
\(405\) −7.18077 + 18.7999i −0.356815 + 0.934175i
\(406\) −4.85132 + 7.66616i −0.240767 + 0.380465i
\(407\) 3.86453i 0.191558i
\(408\) −25.4650 8.69241i −1.26070 0.430338i
\(409\) −23.8346 −1.17854 −0.589271 0.807935i \(-0.700585\pi\)
−0.589271 + 0.807935i \(0.700585\pi\)
\(410\) −4.48277 0.452303i −0.221388 0.0223376i
\(411\) 0.972470 4.62773i 0.0479684 0.228269i
\(412\) 2.27956 + 4.81227i 0.112306 + 0.237084i
\(413\) 7.47472 0.367807
\(414\) −20.4331 + 13.7504i −1.00423 + 0.675795i
\(415\) −15.9201 + 7.96004i −0.781486 + 0.390743i
\(416\) 11.4348 + 34.4402i 0.560635 + 1.68857i
\(417\) −0.762330 0.160196i −0.0373315 0.00784482i
\(418\) −0.525284 + 0.830064i −0.0256925 + 0.0405997i
\(419\) −20.6252 −1.00761 −0.503803 0.863819i \(-0.668066\pi\)
−0.503803 + 0.863819i \(0.668066\pi\)
\(420\) −4.98361 5.92989i −0.243175 0.289349i
\(421\) 2.64296 0.128810 0.0644050 0.997924i \(-0.479485\pi\)
0.0644050 + 0.997924i \(0.479485\pi\)
\(422\) 11.3208 17.8893i 0.551088 0.870839i
\(423\) −4.09355 + 9.30996i −0.199035 + 0.452666i
\(424\) −1.66682 + 13.6149i −0.0809481 + 0.661200i
\(425\) −16.4775 + 21.9700i −0.799277 + 1.06570i
\(426\) 13.6601 14.0499i 0.661835 0.680722i
\(427\) −1.26982 −0.0614511
\(428\) −27.5275 + 13.0397i −1.33059 + 0.630298i
\(429\) −7.74625 1.62780i −0.373993 0.0785907i
\(430\) 2.60469 25.8151i 0.125609 1.24491i
\(431\) −6.93676 −0.334132 −0.167066 0.985946i \(-0.553429\pi\)
−0.167066 + 0.985946i \(0.553429\pi\)
\(432\) 5.41144 + 20.0678i 0.260358 + 0.965512i
\(433\) 14.5396i 0.698731i 0.936987 + 0.349365i \(0.113603\pi\)
−0.936987 + 0.349365i \(0.886397\pi\)
\(434\) −0.185168 + 0.292606i −0.00888834 + 0.0140455i
\(435\) −6.30369 24.0323i −0.302239 1.15226i
\(436\) −1.27787 2.69765i −0.0611990 0.129194i
\(437\) −5.66013 −0.270761
\(438\) 14.0499 + 13.6601i 0.671332 + 0.652706i
\(439\) 24.8595i 1.18648i −0.805025 0.593240i \(-0.797848\pi\)
0.805025 0.593240i \(-0.202152\pi\)
\(440\) 4.24485 1.51030i 0.202365 0.0720005i
\(441\) −2.74625 1.20752i −0.130774 0.0575008i
\(442\) 26.6459 42.1064i 1.26742 2.00280i
\(443\) 7.43476i 0.353236i −0.984279 0.176618i \(-0.943484\pi\)
0.984279 0.176618i \(-0.0565157\pi\)
\(444\) −4.38032 18.2743i −0.207881 0.867261i
\(445\) −12.5097 + 6.25484i −0.593015 + 0.296508i
\(446\) −3.13918 1.98655i −0.148644 0.0940657i
\(447\) −1.95006 0.409784i −0.0922345 0.0193821i
\(448\) −7.76373 1.92989i −0.366802 0.0911788i
\(449\) 6.97416i 0.329131i 0.986366 + 0.164566i \(0.0526222\pi\)
−0.986366 + 0.164566i \(0.947378\pi\)
\(450\) 21.1854 + 1.08484i 0.998692 + 0.0511399i
\(451\) 1.01499i 0.0477939i
\(452\) −7.06773 14.9203i −0.332438 0.701794i
\(453\) −2.38921 0.502069i −0.112255 0.0235892i
\(454\) −2.56371 + 4.05122i −0.120321 + 0.190133i
\(455\) 12.8301 6.41503i 0.601483 0.300741i
\(456\) −1.54307 + 4.52054i −0.0722610 + 0.211693i
\(457\) 31.2559i 1.46209i −0.682328 0.731046i \(-0.739033\pi\)
0.682328 0.731046i \(-0.260967\pi\)
\(458\) 29.3556 + 18.5769i 1.37170 + 0.868042i
\(459\) 16.6147 23.2051i 0.775507 1.08312i
\(460\) 20.4331 + 16.0147i 0.952697 + 0.746691i
\(461\) 19.1594i 0.892344i 0.894947 + 0.446172i \(0.147213\pi\)
−0.894947 + 0.446172i \(0.852787\pi\)
\(462\) 1.21641 1.25112i 0.0565925 0.0582075i
\(463\) 23.9150 1.11142 0.555711 0.831375i \(-0.312446\pi\)
0.555711 + 0.831375i \(0.312446\pi\)
\(464\) −19.8550 16.2548i −0.921747 0.754612i
\(465\) −0.240602 0.917278i −0.0111577 0.0425378i
\(466\) −25.1971 15.9453i −1.16723 0.738652i
\(467\) 6.23960i 0.288734i 0.989524 + 0.144367i \(0.0461147\pi\)
−0.989524 + 0.144367i \(0.953885\pi\)
\(468\) −38.4750 + 1.08272i −1.77851 + 0.0500488i
\(469\) 13.0350 0.601898
\(470\) 10.6662 + 1.07619i 0.491993 + 0.0496412i
\(471\) −1.95006 0.409784i −0.0898538 0.0188819i
\(472\) −2.56911 + 20.9850i −0.118253 + 0.965913i
\(473\) 5.84505 0.268756
\(474\) 26.3441 + 25.6132i 1.21002 + 1.17645i
\(475\) 3.90011 + 2.92508i 0.178949 + 0.134212i
\(476\) 4.70265 + 9.92752i 0.215545 + 0.455027i
\(477\) −13.3181 5.85590i −0.609793 0.268123i
\(478\) −14.7684 9.34576i −0.675489 0.427465i
\(479\) −9.13996 −0.417615 −0.208808 0.977957i \(-0.566958\pi\)
−0.208808 + 0.977957i \(0.566958\pi\)
\(480\) 18.3609 11.9532i 0.838055 0.545585i
\(481\) 34.8001 1.58675
\(482\) −17.8843 11.3176i −0.814606 0.515502i
\(483\) 9.83980 + 2.06773i 0.447727 + 0.0940851i
\(484\) −8.98361 18.9648i −0.408346 0.862039i
\(485\) 36.1893 18.0946i 1.64327 0.821635i
\(486\) −22.0361 0.640088i −0.999578 0.0290350i
\(487\) −34.1055 −1.54547 −0.772734 0.634730i \(-0.781111\pi\)
−0.772734 + 0.634730i \(0.781111\pi\)
\(488\) 0.436448 3.56499i 0.0197571 0.161379i
\(489\) 5.51199 26.2301i 0.249261 1.18617i
\(490\) −0.317456 + 3.14630i −0.0143412 + 0.142135i
\(491\) 29.2576 1.32038 0.660189 0.751099i \(-0.270476\pi\)
0.660189 + 0.751099i \(0.270476\pi\)
\(492\) −1.15046 4.79960i −0.0518665 0.216383i
\(493\) 35.2346i 1.58689i
\(494\) −7.47472 4.73018i −0.336303 0.212821i
\(495\) 0.235957 + 4.77300i 0.0106055 + 0.214531i
\(496\) −0.757837 0.620423i −0.0340279 0.0278578i
\(497\) −8.00000 −0.358849
\(498\) −13.9798 13.5919i −0.626448 0.609067i
\(499\) 7.32063i 0.327717i 0.986484 + 0.163858i \(0.0523940\pi\)
−0.986484 + 0.163858i \(0.947606\pi\)
\(500\) −5.80319 21.5945i −0.259527 0.965736i
\(501\) 25.3742 + 5.33213i 1.13364 + 0.238222i
\(502\) 8.93251 + 5.65270i 0.398677 + 0.252292i
\(503\) 23.7609i 1.05945i −0.848171 0.529723i \(-0.822296\pi\)
0.848171 0.529723i \(-0.177704\pi\)
\(504\) 4.33397 7.29498i 0.193050 0.324944i
\(505\) 9.38919 4.69460i 0.417814 0.208907i
\(506\) −3.12742 + 4.94201i −0.139031 + 0.219699i
\(507\) 10.0278 47.7196i 0.445349 2.11930i
\(508\) 8.06942 + 17.0350i 0.358023 + 0.755804i
\(509\) 16.8301i 0.745979i 0.927835 + 0.372990i \(0.121667\pi\)
−0.927835 + 0.372990i \(0.878333\pi\)
\(510\) −28.6709 9.11091i −1.26957 0.403438i
\(511\) 8.00000i 0.353899i
\(512\) 8.08656 21.1331i 0.357379 0.933960i
\(513\) −4.11937 2.94943i −0.181875 0.130221i
\(514\) −26.8997 17.0228i −1.18650 0.750843i
\(515\) 2.66244 + 5.32488i 0.117321 + 0.234642i
\(516\) 27.6396 6.62517i 1.21677 0.291657i
\(517\) 2.41503i 0.106213i
\(518\) −4.10245 + 6.48277i −0.180251 + 0.284836i
\(519\) −3.38117 + 16.0901i −0.148417 + 0.706276i
\(520\) 13.6002 + 38.2249i 0.596408 + 1.67627i
\(521\) 0.555747i 0.0243477i −0.999926 0.0121738i \(-0.996125\pi\)
0.999926 0.0121738i \(-0.00387515\pi\)
\(522\) 22.5800 15.1952i 0.988298 0.665074i
\(523\) −30.7307 −1.34376 −0.671879 0.740661i \(-0.734513\pi\)
−0.671879 + 0.740661i \(0.734513\pi\)
\(524\) −15.0944 31.8650i −0.659402 1.39203i
\(525\) −5.71154 6.50986i −0.249272 0.284114i
\(526\) −6.94225 + 10.9703i −0.302696 + 0.478327i
\(527\) 1.34485i 0.0585827i
\(528\) 3.09440 + 3.84505i 0.134666 + 0.167334i
\(529\) −10.6991 −0.465178
\(530\) −1.53952 + 15.2581i −0.0668724 + 0.662771i
\(531\) −20.5275 9.02584i −0.890816 0.391688i
\(532\) 1.76233 0.834812i 0.0764067 0.0361937i
\(533\) 9.13996 0.395896
\(534\) −10.9850 10.6802i −0.475368 0.462179i
\(535\) −30.4597 + 15.2299i −1.31689 + 0.658444i
\(536\) −4.48021 + 36.5952i −0.193515 + 1.58067i
\(537\) 1.28592 6.11937i 0.0554916 0.264070i
\(538\) −14.8826 + 23.5177i −0.641633 + 1.01392i
\(539\) −0.712386 −0.0306846
\(540\) 6.52582 + 22.3028i 0.280826 + 0.959759i
\(541\) 12.0322 0.517303 0.258651 0.965971i \(-0.416722\pi\)
0.258651 + 0.965971i \(0.416722\pi\)
\(542\) −22.1926 + 35.0692i −0.953254 + 1.50635i
\(543\) −4.11768 + 19.5950i −0.176706 + 0.840900i
\(544\) −29.4875 + 9.79036i −1.26427 + 0.419758i
\(545\) −1.49251 2.98501i −0.0639319 0.127864i
\(546\) 11.2664 + 10.9538i 0.482155 + 0.468778i
\(547\) 3.89500 0.166538 0.0832690 0.996527i \(-0.473464\pi\)
0.0832690 + 0.996527i \(0.473464\pi\)
\(548\) −2.33756 4.93470i −0.0998555 0.210800i
\(549\) 3.48726 + 1.53333i 0.148833 + 0.0654411i
\(550\) 4.70892 1.78908i 0.200789 0.0762866i
\(551\) 6.25484 0.266465
\(552\) −9.18710 + 26.9142i −0.391029 + 1.14555i
\(553\) 15.0002i 0.637875i
\(554\) 4.62773 7.31283i 0.196613 0.310692i
\(555\) −5.33062 20.3226i −0.226272 0.862645i
\(556\) −0.812898 + 0.385068i −0.0344745 + 0.0163305i
\(557\) 36.1055 1.52984 0.764919 0.644126i \(-0.222779\pi\)
0.764919 + 0.644126i \(0.222779\pi\)
\(558\) 0.861844 0.579976i 0.0364847 0.0245524i
\(559\) 52.6346i 2.22621i
\(560\) −8.72403 1.97265i −0.368657 0.0833598i
\(561\) 1.39371 6.63229i 0.0588424 0.280015i
\(562\) −0.328597 + 0.519256i −0.0138610 + 0.0219035i
\(563\) 29.3103i 1.23528i 0.786461 + 0.617640i \(0.211911\pi\)
−0.786461 + 0.617640i \(0.788089\pi\)
\(564\) 2.73736 + 11.4200i 0.115264 + 0.480870i
\(565\) −8.25484 16.5097i −0.347284 0.694567i
\(566\) 2.06426 + 1.30631i 0.0867675 + 0.0549085i
\(567\) 6.08381 + 6.63229i 0.255496 + 0.278530i
\(568\) 2.74966 22.4597i 0.115373 0.942389i
\(569\) 32.2709i 1.35287i −0.736503 0.676434i \(-0.763524\pi\)
0.736503 0.676434i \(-0.236476\pi\)
\(570\) −1.61737 + 5.08965i −0.0677440 + 0.213182i
\(571\) 40.8595i 1.70992i 0.518696 + 0.854959i \(0.326418\pi\)
−0.518696 + 0.854959i \(0.673582\pi\)
\(572\) −8.26008 + 3.91279i −0.345371 + 0.163602i
\(573\) −9.58081 + 45.5926i −0.400244 + 1.90466i
\(574\) −1.07747 + 1.70265i −0.0449729 + 0.0710671i
\(575\) 23.2204 + 17.4153i 0.968356 + 0.726267i
\(576\) 18.9908 + 14.6748i 0.791283 + 0.611450i
\(577\) 8.43451i 0.351133i −0.984468 0.175567i \(-0.943824\pi\)
0.984468 0.175567i \(-0.0561758\pi\)
\(578\) 15.7357 + 9.95792i 0.654519 + 0.414195i
\(579\) 17.2129 + 3.61712i 0.715345 + 0.150322i
\(580\) −22.5800 17.6974i −0.937582 0.734844i
\(581\) 7.96004i 0.330238i
\(582\) 31.7786 + 30.8969i 1.31726 + 1.28072i
\(583\) −3.45475 −0.143081
\(584\) 22.4597 + 2.74966i 0.929390 + 0.113782i
\(585\) −42.9809 + 2.12479i −1.77704 + 0.0878494i
\(586\) −27.6681 17.5090i −1.14296 0.723291i
\(587\) 3.57022i 0.147359i −0.997282 0.0736794i \(-0.976526\pi\)
0.997282 0.0736794i \(-0.0234742\pi\)
\(588\) −3.36868 + 0.807466i −0.138922 + 0.0332993i
\(589\) 0.238738 0.00983702
\(590\) −2.37289 + 23.5177i −0.0976905 + 0.968209i
\(591\) 2.90474 13.8229i 0.119485 0.568597i
\(592\) −16.7901 13.7457i −0.690069 0.564943i
\(593\) 32.9872 1.35462 0.677311 0.735697i \(-0.263145\pi\)
0.677311 + 0.735697i \(0.263145\pi\)
\(594\) −4.85132 + 1.96707i −0.199052 + 0.0807097i
\(595\) 5.49251 + 10.9850i 0.225171 + 0.450342i
\(596\) −2.07941 + 0.985012i −0.0851759 + 0.0403477i
\(597\) −13.4925 2.83531i −0.552212 0.116042i
\(598\) −44.5027 28.1624i −1.81985 1.15165i
\(599\) −26.2926 −1.07429 −0.537143 0.843491i \(-0.680496\pi\)
−0.537143 + 0.843491i \(0.680496\pi\)
\(600\) 20.2393 13.7975i 0.826267 0.563279i
\(601\) −43.1548 −1.76032 −0.880161 0.474676i \(-0.842565\pi\)
−0.880161 + 0.474676i \(0.842565\pi\)
\(602\) −9.80509 6.20489i −0.399626 0.252893i
\(603\) −35.7973 15.7399i −1.45778 0.640979i
\(604\) −2.54770 + 1.20684i −0.103664 + 0.0491056i
\(605\) −10.4925 20.9850i −0.426581 0.853162i
\(606\) 8.24485 + 8.01610i 0.334924 + 0.325632i
\(607\) 28.3581 1.15102 0.575511 0.817794i \(-0.304803\pi\)
0.575511 + 0.817794i \(0.304803\pi\)
\(608\) 1.73798 + 5.23461i 0.0704845 + 0.212292i
\(609\) −10.8737 2.28499i −0.440623 0.0925925i
\(610\) 0.403113 3.99525i 0.0163216 0.161763i
\(611\) −21.7473 −0.879803
\(612\) −0.927019 32.9420i −0.0374725 1.33160i
\(613\) 23.2593i 0.939435i 0.882817 + 0.469718i \(0.155644\pi\)
−0.882817 + 0.469718i \(0.844356\pi\)
\(614\) −11.9483 7.56115i −0.482193 0.305143i
\(615\) −1.40004 5.33756i −0.0564552 0.215231i
\(616\) 0.244852 2.00000i 0.00986538 0.0805823i
\(617\) −12.4398 −0.500806 −0.250403 0.968142i \(-0.580563\pi\)
−0.250403 + 0.968142i \(0.580563\pi\)
\(618\) −4.54616 + 4.67590i −0.182873 + 0.188092i
\(619\) 22.2948i 0.896104i 0.894008 + 0.448052i \(0.147882\pi\)
−0.894008 + 0.448052i \(0.852118\pi\)
\(620\) −0.861844 0.675483i −0.0346125 0.0271281i
\(621\) −24.5258 17.5602i −0.984185 0.704668i
\(622\) 31.7457 + 20.0894i 1.27288 + 0.805511i
\(623\) 6.25484i 0.250595i
\(624\) −34.6247 + 27.8650i −1.38610 + 1.11549i
\(625\) −7.00000 24.0000i −0.280000 0.960000i
\(626\) 11.7713 18.6012i 0.470475 0.743454i
\(627\) −1.17736 0.247410i −0.0470193 0.00988062i
\(628\) −2.07941 + 0.985012i −0.0829774 + 0.0393063i
\(629\) 29.7956i 1.18803i
\(630\) 4.67103 8.25721i 0.186098 0.328975i
\(631\) 41.0397i 1.63376i 0.576805 + 0.816882i \(0.304299\pi\)
−0.576805 + 0.816882i \(0.695701\pi\)
\(632\) 42.1127 + 5.15569i 1.67515 + 0.205082i
\(633\) 25.3742 + 5.33213i 1.00853 + 0.211933i
\(634\) 10.7374 + 6.79485i 0.426435 + 0.269858i
\(635\) 9.42477 + 18.8495i 0.374011 + 0.748021i
\(636\) −16.3366 + 3.91584i −0.647787 + 0.155273i
\(637\) 6.41503i 0.254173i
\(638\) 3.45602 5.46126i 0.136825 0.216213i
\(639\) 21.9700 + 9.66013i 0.869121 + 0.382149i
\(640\) 8.53667 23.8144i 0.337441 0.941347i
\(641\) 32.4707i 1.28252i 0.767325 + 0.641258i \(0.221587\pi\)
−0.767325 + 0.641258i \(0.778413\pi\)
\(642\) −26.7473 26.0052i −1.05563 1.02634i
\(643\) −23.5230 −0.927655 −0.463828 0.885925i \(-0.653524\pi\)
−0.463828 + 0.885925i \(0.653524\pi\)
\(644\) 10.4925 4.97028i 0.413463 0.195856i
\(645\) 30.7376 8.06249i 1.21029 0.317460i
\(646\) 4.04994 6.39980i 0.159343 0.251797i
\(647\) 39.8090i 1.56505i 0.622618 + 0.782526i \(0.286069\pi\)
−0.622618 + 0.782526i \(0.713931\pi\)
\(648\) −20.7110 + 14.8005i −0.813604 + 0.581420i
\(649\) −5.32488 −0.209020
\(650\) 16.1107 + 42.4038i 0.631912 + 1.66321i
\(651\) −0.415032 0.0872147i −0.0162664 0.00341821i
\(652\) −13.2493 27.9700i −0.518884 1.09539i
\(653\) −43.6496 −1.70814 −0.854071 0.520156i \(-0.825874\pi\)
−0.854071 + 0.520156i \(0.825874\pi\)
\(654\) 2.54848 2.62120i 0.0996534 0.102497i
\(655\) −17.6297 35.2593i −0.688848 1.37770i
\(656\) −4.40978 3.61018i −0.172173 0.140954i
\(657\) −9.66013 + 21.9700i −0.376877 + 0.857132i
\(658\) 2.56371 4.05122i 0.0999438 0.157933i
\(659\) −6.44705 −0.251142 −0.125571 0.992085i \(-0.540076\pi\)
−0.125571 + 0.992085i \(0.540076\pi\)
\(660\) 3.55026 + 4.22437i 0.138194 + 0.164434i
\(661\) −6.27432 −0.244043 −0.122021 0.992527i \(-0.538938\pi\)
−0.122021 + 0.992527i \(0.538938\pi\)
\(662\) 2.76040 4.36203i 0.107286 0.169535i
\(663\) 59.7237 + 12.5503i 2.31948 + 0.487414i
\(664\) −22.3475 2.73592i −0.867253 0.106174i
\(665\) 1.95006 0.975028i 0.0756199 0.0378100i
\(666\) 19.0944 12.8495i 0.739893 0.497910i
\(667\) 37.2398 1.44193
\(668\) 27.0574 12.8170i 1.04688 0.495905i
\(669\) 0.935670 4.45261i 0.0361751 0.172148i
\(670\) −4.13803 + 41.0119i −0.159866 + 1.58443i
\(671\) 0.904605 0.0349219
\(672\) −1.10909 9.73498i −0.0427842 0.375535i
\(673\) 44.0860i 1.69939i 0.527274 + 0.849695i \(0.323214\pi\)
−0.527274 + 0.849695i \(0.676786\pi\)
\(674\) −19.0119 + 30.0430i −0.732312 + 1.15721i
\(675\) 7.82457 + 24.7745i 0.301168 + 0.953571i
\(676\) −24.1041 50.8849i −0.927080 1.95711i
\(677\) −7.79342 −0.299525 −0.149763 0.988722i \(-0.547851\pi\)
−0.149763 + 0.988722i \(0.547851\pi\)
\(678\) 14.0953 14.4975i 0.541325 0.556773i
\(679\) 18.0946i 0.694409i
\(680\) −32.7279 + 11.6444i −1.25506 + 0.446542i
\(681\) −5.74625 1.20752i −0.220197 0.0462721i
\(682\) 0.131911 0.208448i 0.00505113 0.00798190i
\(683\) 27.8855i 1.06701i 0.845797 + 0.533504i \(0.179125\pi\)
−0.845797 + 0.533504i \(0.820875\pi\)
\(684\) −5.84785 + 0.164564i −0.223598 + 0.00629227i
\(685\) −2.73018 5.46035i −0.104315 0.208629i
\(686\) 1.19503 + 0.756243i 0.0456265 + 0.0288735i
\(687\) −8.74979 + 41.6380i −0.333825 + 1.58859i
\(688\) 20.7901 25.3948i 0.792615 0.968168i
\(689\) 31.1100i 1.18520i
\(690\) −9.62942 + 30.3026i −0.366586 + 1.15360i
\(691\) 28.0295i 1.06629i 0.846024 + 0.533146i \(0.178990\pi\)
−0.846024 + 0.533146i \(0.821010\pi\)
\(692\) 8.12742 + 17.1574i 0.308958 + 0.652226i
\(693\) 1.95639 + 0.860218i 0.0743172 + 0.0326770i
\(694\) 11.4301 18.0621i 0.433882 0.685629i
\(695\) −0.899489 + 0.449744i −0.0341195 + 0.0170598i
\(696\) 10.1524 29.7421i 0.384825 1.12737i
\(697\) 7.82557i 0.296415i
\(698\) 10.0267 + 6.34511i 0.379515 + 0.240166i
\(699\) 7.51030 35.7395i 0.284065 1.35179i
\(700\) −9.79844 1.99763i −0.370346 0.0755032i
\(701\) 23.2346i 0.877559i 0.898595 + 0.438779i \(0.144589\pi\)
−0.898595 + 0.438779i \(0.855411\pi\)
\(702\) −17.7134 43.6861i −0.668550 1.64883i
\(703\) 5.28931 0.199490
\(704\) 5.53077 + 1.37483i 0.208449 + 0.0518158i
\(705\) 3.33122 + 12.7000i 0.125461 + 0.478310i
\(706\) 22.7261 + 14.3816i 0.855307 + 0.541259i
\(707\) 4.69460i 0.176558i
\(708\) −25.1799 + 6.03558i −0.946319 + 0.226831i
\(709\) 28.6519 1.07605 0.538023 0.842930i \(-0.319171\pi\)
0.538023 + 0.842930i \(0.319171\pi\)
\(710\) 2.53965 25.1704i 0.0953113 0.944629i
\(711\) −18.1130 + 41.1945i −0.679292 + 1.54491i
\(712\) −17.5602 2.14983i −0.658098 0.0805683i
\(713\) 1.42139 0.0532315
\(714\) −9.37854 + 9.64618i −0.350983 + 0.360999i
\(715\) −9.13996 + 4.56998i −0.341815 + 0.170908i
\(716\) −3.09101 6.52528i −0.115517 0.243861i
\(717\) 4.40189 20.9474i 0.164391 0.782296i
\(718\) −21.1044 13.3553i −0.787608 0.498417i
\(719\) −14.4902 −0.540393 −0.270196 0.962805i \(-0.587089\pi\)
−0.270196 + 0.962805i \(0.587089\pi\)
\(720\) 21.5764 + 15.9518i 0.804104 + 0.594489i
\(721\) 2.66244 0.0991545
\(722\) 21.5695 + 13.6497i 0.802733 + 0.507988i
\(723\) 5.33062 25.3670i 0.198248 0.943410i
\(724\) 9.89780 + 20.8947i 0.367849 + 0.776547i
\(725\) −25.6601 19.2451i −0.952993 0.714745i
\(726\) 17.9161 18.4274i 0.664930 0.683905i
\(727\) −17.6601 −0.654978 −0.327489 0.944855i \(-0.606202\pi\)
−0.327489 + 0.944855i \(0.606202\pi\)
\(728\) 18.0100 + 2.20489i 0.667494 + 0.0817187i
\(729\) −8.69909 25.5602i −0.322188 0.946676i
\(730\) 25.1704 + 2.53965i 0.931599 + 0.0939966i
\(731\) −45.0654 −1.66680
\(732\) 4.27763 1.02534i 0.158106 0.0378977i
\(733\) 12.7054i 0.469286i −0.972082 0.234643i \(-0.924608\pi\)
0.972082 0.234643i \(-0.0753922\pi\)
\(734\) 32.5909 + 20.6243i 1.20295 + 0.761255i
\(735\) −3.74625 + 0.982644i −0.138183 + 0.0362454i
\(736\) 10.3475 + 31.1657i 0.381415 + 1.14878i
\(737\) −9.28592 −0.342051
\(738\) 5.01499 3.37483i 0.184604 0.124229i
\(739\) 0.460595i 0.0169433i 0.999964 + 0.00847163i \(0.00269664\pi\)
−0.999964 + 0.00847163i \(0.997303\pi\)
\(740\) −19.0944 14.9655i −0.701924 0.550144i
\(741\) 2.22793 10.6021i 0.0818450 0.389479i
\(742\) 5.79535 + 3.66743i 0.212754 + 0.134636i
\(743\) 17.3492i 0.636482i −0.948010 0.318241i \(-0.896908\pi\)
0.948010 0.318241i \(-0.103092\pi\)
\(744\) 0.387502 1.13521i 0.0142065 0.0416189i
\(745\) −2.30091 + 1.15046i −0.0842988 + 0.0421494i
\(746\) 3.86015 6.09989i 0.141330 0.223333i
\(747\) 9.61187 21.8603i 0.351680 0.799826i
\(748\) −3.35010 7.07223i −0.122492 0.258586i
\(749\) 15.2299i 0.556487i
\(750\) 22.2952 15.9036i 0.814104 0.580719i
\(751\) 21.1890i 0.773199i 0.922248 + 0.386599i \(0.126350\pi\)
−0.922248 + 0.386599i \(0.873650\pi\)
\(752\) 10.4925 + 8.58996i 0.382622 + 0.313244i
\(753\) −2.66244 + 12.6699i −0.0970248 + 0.461716i
\(754\) 49.1786 + 31.1214i 1.79098 + 1.13337i
\(755\) −2.81908 + 1.40954i −0.102597 + 0.0512984i
\(756\) 10.2263 + 1.85023i 0.371926 + 0.0672921i
\(757\) 11.2204i 0.407811i 0.978991 + 0.203906i \(0.0653636\pi\)
−0.978991 + 0.203906i \(0.934636\pi\)
\(758\) −12.3350 + 19.4920i −0.448027 + 0.707982i
\(759\) −7.00974 1.47302i −0.254437 0.0534674i
\(760\) 2.06711 + 5.80984i 0.0749820 + 0.210745i
\(761\) 24.2354i 0.878531i −0.898357 0.439265i \(-0.855239\pi\)
0.898357 0.439265i \(-0.144761\pi\)
\(762\) −16.0929 + 16.5522i −0.582986 + 0.599623i
\(763\) −1.49251 −0.0540323
\(764\) 23.0297 + 48.6169i 0.833186 + 1.75890i
\(765\) −1.81923 36.7999i −0.0657745 1.33050i
\(766\) 19.1702 30.2931i 0.692647 1.09453i
\(767\) 47.9505i 1.73139i
\(768\) 27.7118 + 0.232238i 0.999965 + 0.00838018i
\(769\) 8.43638 0.304224 0.152112 0.988363i \(-0.451393\pi\)
0.152112 + 0.988363i \(0.451393\pi\)
\(770\) 0.226151 2.24138i 0.00814993 0.0807738i
\(771\) 8.01779 38.1546i 0.288754 1.37410i
\(772\) 18.3547 8.69460i 0.660601 0.312925i
\(773\) 6.84274