Properties

Label 462.2.bc.b.95.6
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.6
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(-0.840980 - 1.51418i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.12093 - 2.51765i) q^{5} +(1.59380 - 0.678098i) q^{6} +(2.40939 - 1.09308i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.58551 + 2.54680i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(-0.840980 - 1.51418i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.12093 - 2.51765i) q^{5} +(1.59380 - 0.678098i) q^{6} +(2.40939 - 1.09308i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.58551 + 2.54680i) q^{9} +(2.38669 + 1.37795i) q^{10} +(-3.22424 + 0.777358i) q^{11} +(0.507786 + 1.65594i) q^{12} +(0.533779 - 0.734683i) q^{13} +(0.835242 + 2.51045i) q^{14} +(-4.75486 + 0.419999i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.233441 - 2.22105i) q^{17} +(-2.36711 - 1.84303i) q^{18} +(-1.38320 - 6.50747i) q^{19} +(-1.61988 + 2.22958i) q^{20} +(-3.68138 - 2.72901i) q^{21} +(-0.436075 - 3.28783i) q^{22} +(-4.85329 + 2.80205i) q^{23} +(-1.69995 + 0.331911i) q^{24} +(-1.73642 - 1.92849i) q^{25} +(0.674863 + 0.607650i) q^{26} +(5.18970 + 0.258941i) q^{27} +(-2.58401 + 0.568253i) q^{28} +(-1.35518 - 4.17081i) q^{29} +(0.0793202 - 4.77271i) q^{30} +(-0.217640 + 0.0968995i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(3.88858 + 4.22835i) q^{33} +2.23328 q^{34} +(-0.0512330 - 7.29127i) q^{35} +(2.08037 - 2.16150i) q^{36} +(7.25637 - 8.05901i) q^{37} +(6.61640 - 0.695412i) q^{38} +(-1.56134 - 0.190385i) q^{39} +(-2.04804 - 1.84406i) q^{40} +(-1.32308 + 4.07202i) q^{41} +(3.09886 - 3.37595i) q^{42} +8.42414i q^{43} +(3.31540 - 0.0900140i) q^{44} +(4.63470 + 6.84652i) q^{45} +(-2.27939 - 5.11959i) q^{46} +(-2.18126 - 10.2620i) q^{47} +(-0.152399 - 1.72533i) q^{48} +(4.61035 - 5.26732i) q^{49} +(2.09943 - 1.52532i) q^{50} +(-3.16675 + 2.22133i) q^{51} +(-0.674863 + 0.607650i) q^{52} +(1.15816 + 2.60126i) q^{53} +(-0.799994 + 5.13420i) q^{54} +(-1.65703 + 8.98886i) q^{55} +(-0.295038 - 2.62925i) q^{56} +(-8.69025 + 7.56707i) q^{57} +(4.28962 - 0.911786i) q^{58} +(-1.31314 + 6.17786i) q^{59} +(4.73828 + 0.577770i) q^{60} +(1.19589 - 2.68601i) q^{61} +(-0.0736192 - 0.226576i) q^{62} +(-1.03625 + 7.86932i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-1.25135 - 2.16739i) q^{65} +(-4.61165 + 3.42530i) q^{66} +(2.80878 - 4.86495i) q^{67} +(-0.233441 + 2.22105i) q^{68} +(8.32433 + 4.99230i) q^{69} +(7.25668 + 0.711193i) q^{70} +(-2.57763 - 3.54780i) q^{71} +(1.93220 + 2.29491i) q^{72} +(-2.21647 + 10.4277i) q^{73} +(7.25637 + 8.05901i) q^{74} +(-1.45979 + 4.25107i) q^{75} +6.65285i q^{76} +(-6.91874 + 5.39731i) q^{77} +(0.352547 - 1.53289i) q^{78} +(4.75825 + 0.500112i) q^{79} +(2.04804 - 1.84406i) q^{80} +(-3.97235 - 8.07592i) q^{81} +(-3.91141 - 1.74147i) q^{82} +(3.07387 - 2.23330i) q^{83} +(3.03354 + 3.43477i) q^{84} +(-5.85348 - 1.90191i) q^{85} +(-8.37800 - 0.880563i) q^{86} +(-5.17569 + 5.55956i) q^{87} +(-0.257033 + 3.30665i) q^{88} +(-3.00107 + 1.73267i) q^{89} +(-7.29347 + 3.89365i) q^{90} +(0.483015 - 2.35360i) q^{91} +(5.32981 - 1.73176i) q^{92} +(0.329755 + 0.248056i) q^{93} +(10.4338 - 1.09664i) q^{94} +(-17.9340 - 3.81199i) q^{95} +(1.73181 + 0.0287819i) q^{96} +(14.4550 + 10.5022i) q^{97} +(4.75655 + 5.13568i) q^{98} +(3.13227 - 9.44399i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) −0.840980 1.51418i −0.485540 0.874214i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) 1.12093 2.51765i 0.501295 1.12593i −0.468823 0.883292i \(-0.655322\pi\)
0.970118 0.242634i \(-0.0780115\pi\)
\(6\) 1.59380 0.678098i 0.650664 0.276832i
\(7\) 2.40939 1.09308i 0.910665 0.413146i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −1.58551 + 2.54680i −0.528502 + 0.848932i
\(10\) 2.38669 + 1.37795i 0.754737 + 0.435747i
\(11\) −3.22424 + 0.777358i −0.972145 + 0.234382i
\(12\) 0.507786 + 1.65594i 0.146585 + 0.478030i
\(13\) 0.533779 0.734683i 0.148044 0.203764i −0.728554 0.684988i \(-0.759807\pi\)
0.876598 + 0.481224i \(0.159807\pi\)
\(14\) 0.835242 + 2.51045i 0.223228 + 0.670947i
\(15\) −4.75486 + 0.419999i −1.22770 + 0.108443i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.233441 2.22105i −0.0566178 0.538683i −0.985664 0.168719i \(-0.946037\pi\)
0.929046 0.369963i \(-0.120630\pi\)
\(18\) −2.36711 1.84303i −0.557934 0.434407i
\(19\) −1.38320 6.50747i −0.317329 1.49291i −0.790783 0.612097i \(-0.790326\pi\)
0.473454 0.880818i \(-0.343007\pi\)
\(20\) −1.61988 + 2.22958i −0.362217 + 0.498549i
\(21\) −3.68138 2.72901i −0.803342 0.595518i
\(22\) −0.436075 3.28783i −0.0929715 0.700968i
\(23\) −4.85329 + 2.80205i −1.01198 + 0.584267i −0.911771 0.410699i \(-0.865285\pi\)
−0.100209 + 0.994966i \(0.531951\pi\)
\(24\) −1.69995 + 0.331911i −0.347001 + 0.0677510i
\(25\) −1.73642 1.92849i −0.347283 0.385697i
\(26\) 0.674863 + 0.607650i 0.132352 + 0.119170i
\(27\) 5.18970 + 0.258941i 0.998758 + 0.0498333i
\(28\) −2.58401 + 0.568253i −0.488331 + 0.107390i
\(29\) −1.35518 4.17081i −0.251650 0.774500i −0.994471 0.105010i \(-0.966513\pi\)
0.742821 0.669490i \(-0.233487\pi\)
\(30\) 0.0793202 4.77271i 0.0144818 0.871375i
\(31\) −0.217640 + 0.0968995i −0.0390893 + 0.0174037i −0.426188 0.904635i \(-0.640144\pi\)
0.387099 + 0.922038i \(0.373477\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 3.88858 + 4.22835i 0.676915 + 0.736061i
\(34\) 2.23328 0.383004
\(35\) −0.0512330 7.29127i −0.00865996 1.23245i
\(36\) 2.08037 2.16150i 0.346728 0.360250i
\(37\) 7.25637 8.05901i 1.19294 1.32489i 0.259678 0.965695i \(-0.416383\pi\)
0.933261 0.359199i \(-0.116950\pi\)
\(38\) 6.61640 0.695412i 1.07332 0.112811i
\(39\) −1.56134 0.190385i −0.250015 0.0304860i
\(40\) −2.04804 1.84406i −0.323823 0.291572i
\(41\) −1.32308 + 4.07202i −0.206630 + 0.635942i 0.793012 + 0.609205i \(0.208512\pi\)
−0.999643 + 0.0267365i \(0.991488\pi\)
\(42\) 3.09886 3.37595i 0.478165 0.520920i
\(43\) 8.42414i 1.28467i 0.766424 + 0.642335i \(0.222034\pi\)
−0.766424 + 0.642335i \(0.777966\pi\)
\(44\) 3.31540 0.0900140i 0.499816 0.0135701i
\(45\) 4.63470 + 6.84652i 0.690900 + 1.02062i
\(46\) −2.27939 5.11959i −0.336078 0.754843i
\(47\) −2.18126 10.2620i −0.318169 1.49687i −0.788862 0.614571i \(-0.789329\pi\)
0.470692 0.882297i \(-0.344004\pi\)
\(48\) −0.152399 1.72533i −0.0219970 0.249030i
\(49\) 4.61035 5.26732i 0.658621 0.752474i
\(50\) 2.09943 1.52532i 0.296904 0.215713i
\(51\) −3.16675 + 2.22133i −0.443434 + 0.311048i
\(52\) −0.674863 + 0.607650i −0.0935867 + 0.0842659i
\(53\) 1.15816 + 2.60126i 0.159085 + 0.357311i 0.975448 0.220228i \(-0.0706801\pi\)
−0.816364 + 0.577538i \(0.804013\pi\)
\(54\) −0.799994 + 5.13420i −0.108865 + 0.698676i
\(55\) −1.65703 + 8.98886i −0.223434 + 1.21206i
\(56\) −0.295038 2.62925i −0.0394261 0.351348i
\(57\) −8.69025 + 7.56707i −1.15105 + 1.00228i
\(58\) 4.28962 0.911786i 0.563254 0.119723i
\(59\) −1.31314 + 6.17786i −0.170957 + 0.804288i 0.806179 + 0.591672i \(0.201532\pi\)
−0.977136 + 0.212617i \(0.931801\pi\)
\(60\) 4.73828 + 0.577770i 0.611709 + 0.0745898i
\(61\) 1.19589 2.68601i 0.153118 0.343909i −0.820657 0.571421i \(-0.806392\pi\)
0.973775 + 0.227512i \(0.0730591\pi\)
\(62\) −0.0736192 0.226576i −0.00934964 0.0287752i
\(63\) −1.03625 + 7.86932i −0.130555 + 0.991441i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −1.25135 2.16739i −0.155210 0.268832i
\(66\) −4.61165 + 3.42530i −0.567655 + 0.421625i
\(67\) 2.80878 4.86495i 0.343147 0.594348i −0.641868 0.766815i \(-0.721840\pi\)
0.985015 + 0.172467i \(0.0551737\pi\)
\(68\) −0.233441 + 2.22105i −0.0283089 + 0.269341i
\(69\) 8.32433 + 4.99230i 1.00213 + 0.601003i
\(70\) 7.25668 + 0.711193i 0.867339 + 0.0850038i
\(71\) −2.57763 3.54780i −0.305909 0.421047i 0.628191 0.778059i \(-0.283796\pi\)
−0.934100 + 0.357012i \(0.883796\pi\)
\(72\) 1.93220 + 2.29491i 0.227712 + 0.270458i
\(73\) −2.21647 + 10.4277i −0.259418 + 1.22047i 0.634744 + 0.772722i \(0.281105\pi\)
−0.894162 + 0.447743i \(0.852228\pi\)
\(74\) 7.25637 + 8.05901i 0.843536 + 0.936841i
\(75\) −1.45979 + 4.25107i −0.168562 + 0.490871i
\(76\) 6.65285i 0.763134i
\(77\) −6.91874 + 5.39731i −0.788464 + 0.615081i
\(78\) 0.352547 1.53289i 0.0399181 0.173565i
\(79\) 4.75825 + 0.500112i 0.535345 + 0.0562670i 0.368344 0.929690i \(-0.379925\pi\)
0.167001 + 0.985957i \(0.446592\pi\)
\(80\) 2.04804 1.84406i 0.228978 0.206173i
\(81\) −3.97235 8.07592i −0.441372 0.897324i
\(82\) −3.91141 1.74147i −0.431943 0.192313i
\(83\) 3.07387 2.23330i 0.337402 0.245137i −0.406163 0.913801i \(-0.633134\pi\)
0.743565 + 0.668664i \(0.233134\pi\)
\(84\) 3.03354 + 3.43477i 0.330986 + 0.374764i
\(85\) −5.85348 1.90191i −0.634899 0.206291i
\(86\) −8.37800 0.880563i −0.903423 0.0949535i
\(87\) −5.17569 + 5.55956i −0.554893 + 0.596047i
\(88\) −0.257033 + 3.30665i −0.0273998 + 0.352490i
\(89\) −3.00107 + 1.73267i −0.318112 + 0.183662i −0.650551 0.759463i \(-0.725462\pi\)
0.332439 + 0.943125i \(0.392129\pi\)
\(90\) −7.29347 + 3.89365i −0.768800 + 0.410427i
\(91\) 0.483015 2.35360i 0.0506337 0.246725i
\(92\) 5.32981 1.73176i 0.555671 0.180548i
\(93\) 0.329755 + 0.248056i 0.0341940 + 0.0257222i
\(94\) 10.4338 1.09664i 1.07616 0.113109i
\(95\) −17.9340 3.81199i −1.83999 0.391101i
\(96\) 1.73181 + 0.0287819i 0.176752 + 0.00293754i
\(97\) 14.4550 + 10.5022i 1.46768 + 1.06633i 0.981277 + 0.192603i \(0.0616928\pi\)
0.486407 + 0.873732i \(0.338307\pi\)
\(98\) 4.75655 + 5.13568i 0.480484 + 0.518782i
\(99\) 3.13227 9.44399i 0.314805 0.949156i
\(100\) 1.29752 + 2.24736i 0.129752 + 0.224736i
\(101\) 13.8161 6.15131i 1.37475 0.612078i 0.419467 0.907770i \(-0.362217\pi\)
0.955283 + 0.295692i \(0.0955502\pi\)
\(102\) −1.87814 3.38160i −0.185964 0.334828i
\(103\) −0.929037 + 1.03180i −0.0915408 + 0.101666i −0.787175 0.616730i \(-0.788457\pi\)
0.695634 + 0.718397i \(0.255124\pi\)
\(104\) −0.533779 0.734683i −0.0523413 0.0720416i
\(105\) −10.9972 + 6.20939i −1.07322 + 0.605974i
\(106\) −2.70807 + 0.879905i −0.263031 + 0.0854640i
\(107\) −3.96332 + 0.842430i −0.383149 + 0.0814408i −0.395459 0.918483i \(-0.629415\pi\)
0.0123107 + 0.999924i \(0.496081\pi\)
\(108\) −5.02245 1.33228i −0.483286 0.128199i
\(109\) 0.347989 + 0.200911i 0.0333313 + 0.0192438i 0.516573 0.856243i \(-0.327207\pi\)
−0.483242 + 0.875487i \(0.660541\pi\)
\(110\) −8.76641 2.58754i −0.835845 0.246713i
\(111\) −18.3053 4.21001i −1.73746 0.399596i
\(112\) 2.64569 0.0185902i 0.249994 0.00175661i
\(113\) 17.6802 + 5.74465i 1.66321 + 0.540411i 0.981542 0.191247i \(-0.0612533\pi\)
0.681672 + 0.731658i \(0.261253\pi\)
\(114\) −6.61724 9.43362i −0.619762 0.883539i
\(115\) 1.61438 + 15.3598i 0.150541 + 1.43231i
\(116\) 0.458404 + 4.36142i 0.0425618 + 0.404948i
\(117\) 1.02478 + 2.52427i 0.0947409 + 0.233369i
\(118\) −6.00675 1.95171i −0.552966 0.179670i
\(119\) −2.99023 5.09620i −0.274114 0.467168i
\(120\) −1.06989 + 4.65193i −0.0976672 + 0.424661i
\(121\) 9.79143 5.01278i 0.890130 0.455707i
\(122\) 2.54629 + 1.47010i 0.230531 + 0.133097i
\(123\) 7.27846 1.42110i 0.656277 0.128136i
\(124\) 0.233031 0.0495322i 0.0209268 0.00444812i
\(125\) 6.30348 2.04812i 0.563800 0.183190i
\(126\) −7.71789 1.85314i −0.687564 0.165091i
\(127\) −3.41705 4.70316i −0.303214 0.417338i 0.630036 0.776566i \(-0.283040\pi\)
−0.933250 + 0.359228i \(0.883040\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) 12.7557 7.08454i 1.12308 0.623759i
\(130\) 2.28632 1.01794i 0.200524 0.0892789i
\(131\) 8.02200 + 13.8945i 0.700885 + 1.21397i 0.968156 + 0.250347i \(0.0805447\pi\)
−0.267271 + 0.963621i \(0.586122\pi\)
\(132\) −2.92449 4.94443i −0.254544 0.430357i
\(133\) −10.4459 14.1671i −0.905771 1.22844i
\(134\) 4.54470 + 3.30192i 0.392602 + 0.285242i
\(135\) 6.46920 12.7756i 0.556780 1.09955i
\(136\) −2.18448 0.464325i −0.187317 0.0398155i
\(137\) 9.04595 0.950767i 0.772848 0.0812295i 0.290108 0.956994i \(-0.406309\pi\)
0.482739 + 0.875764i \(0.339642\pi\)
\(138\) −5.83508 + 7.75689i −0.496715 + 0.660310i
\(139\) −15.7296 + 5.11087i −1.33417 + 0.433498i −0.887338 0.461119i \(-0.847448\pi\)
−0.446832 + 0.894618i \(0.647448\pi\)
\(140\) −1.46583 + 7.14259i −0.123885 + 0.603659i
\(141\) −13.7042 + 11.9330i −1.15410 + 1.00494i
\(142\) 3.79781 2.19266i 0.318705 0.184004i
\(143\) −1.14992 + 2.78373i −0.0961609 + 0.232787i
\(144\) −2.48431 + 1.68173i −0.207026 + 0.140144i
\(145\) −12.0197 1.26332i −0.998181 0.104913i
\(146\) −10.1389 3.29431i −0.839097 0.272639i
\(147\) −11.8529 2.55121i −0.977611 0.210420i
\(148\) −8.77336 + 6.37422i −0.721166 + 0.523958i
\(149\) 13.6840 + 6.09250i 1.12104 + 0.499117i 0.881696 0.471818i \(-0.156402\pi\)
0.239340 + 0.970936i \(0.423069\pi\)
\(150\) −4.07519 1.89615i −0.332738 0.154820i
\(151\) −3.87172 + 3.48611i −0.315076 + 0.283696i −0.811461 0.584407i \(-0.801327\pi\)
0.496385 + 0.868103i \(0.334661\pi\)
\(152\) −6.61640 0.695412i −0.536661 0.0564053i
\(153\) 6.02667 + 2.92695i 0.487228 + 0.236630i
\(154\) −4.64454 7.44501i −0.374268 0.599936i
\(155\) 0.656558i 0.0527360i
\(156\) 1.48764 + 0.510846i 0.119107 + 0.0409004i
\(157\) 0.797111 + 0.885281i 0.0636164 + 0.0706532i 0.774113 0.633048i \(-0.218196\pi\)
−0.710497 + 0.703701i \(0.751530\pi\)
\(158\) −0.994745 + 4.67991i −0.0791377 + 0.372314i
\(159\) 2.96480 3.94127i 0.235124 0.312563i
\(160\) 1.61988 + 2.22958i 0.128063 + 0.176264i
\(161\) −8.63061 + 12.0563i −0.680188 + 0.950167i
\(162\) 8.44690 3.10642i 0.663651 0.244064i
\(163\) −1.19889 + 11.4067i −0.0939045 + 0.893441i 0.841594 + 0.540111i \(0.181618\pi\)
−0.935499 + 0.353331i \(0.885049\pi\)
\(164\) 2.14079 3.70795i 0.167167 0.289542i
\(165\) 15.0043 5.05041i 1.16808 0.393174i
\(166\) 1.89976 + 3.29048i 0.147450 + 0.255391i
\(167\) −13.4155 9.74696i −1.03813 0.754243i −0.0682071 0.997671i \(-0.521728\pi\)
−0.969919 + 0.243429i \(0.921728\pi\)
\(168\) −3.73305 + 2.65789i −0.288011 + 0.205060i
\(169\) 3.76238 + 11.5794i 0.289414 + 0.890725i
\(170\) 2.50335 5.62261i 0.191998 0.431235i
\(171\) 18.7663 + 6.79488i 1.43509 + 0.519617i
\(172\) 1.75148 8.24006i 0.133549 0.628298i
\(173\) 11.1481 2.36959i 0.847572 0.180157i 0.236401 0.971656i \(-0.424032\pi\)
0.611171 + 0.791499i \(0.290699\pi\)
\(174\) −4.98809 5.72847i −0.378146 0.434274i
\(175\) −6.29170 2.74844i −0.475608 0.207762i
\(176\) −3.26167 0.601264i −0.245858 0.0453220i
\(177\) 10.4587 3.20711i 0.786127 0.241061i
\(178\) −1.40948 3.16574i −0.105645 0.237282i
\(179\) 7.34748 6.61570i 0.549176 0.494481i −0.347190 0.937795i \(-0.612864\pi\)
0.896366 + 0.443314i \(0.146197\pi\)
\(180\) −3.10995 7.66052i −0.231802 0.570981i
\(181\) 12.4958 9.07875i 0.928807 0.674818i −0.0168932 0.999857i \(-0.505378\pi\)
0.945701 + 0.325039i \(0.105378\pi\)
\(182\) 2.29022 + 0.726387i 0.169762 + 0.0538434i
\(183\) −5.07284 + 0.448086i −0.374995 + 0.0331235i
\(184\) 1.16516 + 5.48163i 0.0858965 + 0.404111i
\(185\) −12.1559 27.3026i −0.893718 2.00732i
\(186\) −0.281166 + 0.302019i −0.0206161 + 0.0221451i
\(187\) 2.47922 + 6.97971i 0.181298 + 0.510407i
\(188\) 10.4913i 0.765155i
\(189\) 12.7871 5.04886i 0.930122 0.367251i
\(190\) 5.66571 17.4373i 0.411034 1.26503i
\(191\) 15.2558 + 13.7364i 1.10387 + 0.993932i 1.00000 0.000658696i \(-0.000209669\pi\)
0.103873 + 0.994591i \(0.466876\pi\)
\(192\) −0.209648 + 1.71932i −0.0151300 + 0.124081i
\(193\) −23.7227 + 2.49336i −1.70760 + 0.179476i −0.907403 0.420263i \(-0.861938\pi\)
−0.800196 + 0.599738i \(0.795271\pi\)
\(194\) −11.9556 + 13.2780i −0.858363 + 0.953308i
\(195\) −2.22948 + 3.71750i −0.159656 + 0.266216i
\(196\) −5.60474 + 4.19367i −0.400339 + 0.299548i
\(197\) −16.7596 −1.19407 −0.597037 0.802214i \(-0.703656\pi\)
−0.597037 + 0.802214i \(0.703656\pi\)
\(198\) 9.06484 + 4.10228i 0.644210 + 0.291536i
\(199\) 11.4850 19.8927i 0.814152 1.41015i −0.0957828 0.995402i \(-0.530535\pi\)
0.909935 0.414751i \(-0.136131\pi\)
\(200\) −2.37068 + 1.05550i −0.167632 + 0.0746348i
\(201\) −9.72855 0.161684i −0.686199 0.0114043i
\(202\) 4.67344 + 14.3834i 0.328822 + 1.01201i
\(203\) −7.82419 8.56780i −0.549150 0.601342i
\(204\) 3.55939 1.51438i 0.249207 0.106028i
\(205\) 8.76882 + 7.89548i 0.612441 + 0.551445i
\(206\) −0.929037 1.03180i −0.0647291 0.0718889i
\(207\) 0.558669 16.8030i 0.0388302 1.16789i
\(208\) 0.786453 0.454059i 0.0545307 0.0314833i
\(209\) 9.51841 + 19.9064i 0.658402 + 1.37695i
\(210\) −5.02585 11.5860i −0.346816 0.799513i
\(211\) 14.6884 20.2169i 1.01119 1.39179i 0.0929963 0.995666i \(-0.470356\pi\)
0.918198 0.396123i \(-0.129644\pi\)
\(212\) −0.592015 2.78521i −0.0406597 0.191289i
\(213\) −3.20429 + 6.88664i −0.219555 + 0.471865i
\(214\) −0.423535 4.02967i −0.0289523 0.275462i
\(215\) 21.2090 + 9.44287i 1.44644 + 0.643998i
\(216\) 1.84997 4.85568i 0.125875 0.330387i
\(217\) −0.418461 + 0.471367i −0.0284070 + 0.0319985i
\(218\) −0.236186 + 0.325082i −0.0159965 + 0.0220173i
\(219\) 17.6534 5.41331i 1.19291 0.365798i
\(220\) 3.48971 8.44792i 0.235276 0.569558i
\(221\) −1.75637 1.01404i −0.118146 0.0682118i
\(222\) 6.10037 17.7649i 0.409430 1.19231i
\(223\) −6.29557 + 19.3758i −0.421582 + 1.29750i 0.484646 + 0.874710i \(0.338948\pi\)
−0.906229 + 0.422787i \(0.861052\pi\)
\(224\) −0.258061 + 2.63314i −0.0172424 + 0.175934i
\(225\) 7.66456 1.36467i 0.510970 0.0909783i
\(226\) −7.56126 + 16.9829i −0.502968 + 1.12968i
\(227\) 3.61620 + 0.768647i 0.240016 + 0.0510169i 0.326349 0.945249i \(-0.394182\pi\)
−0.0863331 + 0.996266i \(0.527515\pi\)
\(228\) 10.0736 5.59491i 0.667143 0.370532i
\(229\) 1.37888 13.1192i 0.0911190 0.866940i −0.849526 0.527547i \(-0.823112\pi\)
0.940645 0.339392i \(-0.110221\pi\)
\(230\) −15.4444 −1.01837
\(231\) 13.9910 + 5.93722i 0.920543 + 0.390640i
\(232\) −4.38545 −0.287919
\(233\) 1.32065 12.5652i 0.0865188 0.823171i −0.862098 0.506742i \(-0.830850\pi\)
0.948616 0.316429i \(-0.102484\pi\)
\(234\) −2.61756 + 0.755308i −0.171115 + 0.0493760i
\(235\) −28.2812 6.01135i −1.84486 0.392137i
\(236\) 2.56890 5.76984i 0.167221 0.375584i
\(237\) −3.24433 7.62545i −0.210742 0.495326i
\(238\) 5.38085 2.44115i 0.348789 0.158237i
\(239\) 1.36443 4.19929i 0.0882578 0.271630i −0.897180 0.441665i \(-0.854388\pi\)
0.985438 + 0.170035i \(0.0543881\pi\)
\(240\) −4.51461 1.55029i −0.291417 0.100071i
\(241\) −9.65705 5.57550i −0.622065 0.359150i 0.155607 0.987819i \(-0.450267\pi\)
−0.777673 + 0.628669i \(0.783600\pi\)
\(242\) 3.96183 + 10.2618i 0.254676 + 0.659651i
\(243\) −8.88776 + 12.8065i −0.570150 + 0.821540i
\(244\) −1.72821 + 2.37868i −0.110637 + 0.152279i
\(245\) −8.09338 17.5115i −0.517067 1.11877i
\(246\) 0.652509 + 7.38713i 0.0416024 + 0.470987i
\(247\) −5.51925 2.45733i −0.351181 0.156356i
\(248\) 0.0249025 + 0.236932i 0.00158131 + 0.0150452i
\(249\) −5.96669 2.77625i −0.378124 0.175938i
\(250\) 1.37801 + 6.48303i 0.0871531 + 0.410023i
\(251\) 14.1993 19.5437i 0.896252 1.23359i −0.0753957 0.997154i \(-0.524022\pi\)
0.971648 0.236432i \(-0.0759780\pi\)
\(252\) 2.64973 7.48191i 0.166917 0.471316i
\(253\) 13.4700 12.8072i 0.846849 0.805182i
\(254\) 5.03457 2.90671i 0.315897 0.182383i
\(255\) 2.04282 + 10.4627i 0.127926 + 0.655201i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) −3.99776 3.59960i −0.249373 0.224537i 0.534958 0.844878i \(-0.320327\pi\)
−0.784332 + 0.620342i \(0.786994\pi\)
\(258\) 5.71239 + 13.4264i 0.355638 + 0.835889i
\(259\) 8.67429 27.3491i 0.538994 1.69939i
\(260\) 0.773374 + 2.38020i 0.0479626 + 0.147614i
\(261\) 12.7708 + 3.16148i 0.790495 + 0.195691i
\(262\) −14.6569 + 6.52568i −0.905507 + 0.403158i
\(263\) −6.87941 + 11.9155i −0.424203 + 0.734740i −0.996346 0.0854134i \(-0.972779\pi\)
0.572143 + 0.820154i \(0.306112\pi\)
\(264\) 5.22304 2.39163i 0.321456 0.147195i
\(265\) 7.84727 0.482054
\(266\) 15.1814 8.90778i 0.930830 0.546171i
\(267\) 5.14741 + 3.08703i 0.315016 + 0.188923i
\(268\) −3.75888 + 4.17466i −0.229610 + 0.255008i
\(269\) 6.29328 0.661450i 0.383708 0.0403293i 0.0892889 0.996006i \(-0.471541\pi\)
0.294419 + 0.955676i \(0.404874\pi\)
\(270\) 12.0294 + 7.76918i 0.732084 + 0.472817i
\(271\) 1.69848 + 1.52932i 0.103175 + 0.0928996i 0.719104 0.694902i \(-0.244552\pi\)
−0.615929 + 0.787802i \(0.711219\pi\)
\(272\) 0.690122 2.12398i 0.0418448 0.128785i
\(273\) −3.96999 + 1.24796i −0.240275 + 0.0755300i
\(274\) 9.09578i 0.549496i
\(275\) 7.09774 + 4.86808i 0.428010 + 0.293556i
\(276\) −7.10447 6.61393i −0.427639 0.398112i
\(277\) −3.73663 8.39261i −0.224512 0.504263i 0.765807 0.643071i \(-0.222340\pi\)
−0.990319 + 0.138807i \(0.955673\pi\)
\(278\) −3.43868 16.1777i −0.206238 0.970274i
\(279\) 0.0982858 0.707919i 0.00588422 0.0423820i
\(280\) −6.95024 2.20440i −0.415356 0.131738i
\(281\) −5.24984 + 3.81423i −0.313179 + 0.227538i −0.733259 0.679949i \(-0.762002\pi\)
0.420080 + 0.907487i \(0.362002\pi\)
\(282\) −10.4351 14.8764i −0.621403 0.885879i
\(283\) −4.90246 + 4.41420i −0.291421 + 0.262397i −0.801853 0.597521i \(-0.796152\pi\)
0.510432 + 0.859918i \(0.329486\pi\)
\(284\) 1.78367 + 4.00620i 0.105842 + 0.237724i
\(285\) 9.31007 + 30.3611i 0.551481 + 1.79844i
\(286\) −2.64828 1.43460i −0.156596 0.0848295i
\(287\) 1.26323 + 11.2573i 0.0745658 + 0.664498i
\(288\) −1.41284 2.64649i −0.0832523 0.155946i
\(289\) 11.7500 2.49753i 0.691174 0.146914i
\(290\) 2.51280 11.8218i 0.147557 0.694199i
\(291\) 3.74586 30.7197i 0.219586 1.80082i
\(292\) 4.33606 9.73896i 0.253749 0.569929i
\(293\) 3.95822 + 12.1821i 0.231241 + 0.711688i 0.997598 + 0.0692722i \(0.0220677\pi\)
−0.766356 + 0.642416i \(0.777932\pi\)
\(294\) 3.77620 11.5213i 0.220232 0.671936i
\(295\) 14.0817 + 10.2310i 0.819870 + 0.595670i
\(296\) −5.42224 9.39159i −0.315161 0.545875i
\(297\) −16.9341 + 3.19936i −0.982617 + 0.185646i
\(298\) −7.48949 + 12.9722i −0.433855 + 0.751459i
\(299\) −0.531964 + 5.06130i −0.0307643 + 0.292703i
\(300\) 2.31174 3.85467i 0.133468 0.222549i
\(301\) 9.20827 + 20.2971i 0.530756 + 1.16990i
\(302\) −3.06231 4.21491i −0.176216 0.242541i
\(303\) −20.9333 15.7469i −1.20258 0.904638i
\(304\) 1.38320 6.50747i 0.0793322 0.373229i
\(305\) −5.42193 6.02166i −0.310459 0.344799i
\(306\) −3.54088 + 5.68771i −0.202418 + 0.325145i
\(307\) 13.7899i 0.787032i −0.919318 0.393516i \(-0.871259\pi\)
0.919318 0.393516i \(-0.128741\pi\)
\(308\) 7.88972 3.84088i 0.449558 0.218855i
\(309\) 2.34364 + 0.539010i 0.133325 + 0.0306632i
\(310\) −0.652962 0.0686290i −0.0370857 0.00389787i
\(311\) −22.7419 + 20.4769i −1.28957 + 1.16114i −0.312105 + 0.950048i \(0.601034\pi\)
−0.977467 + 0.211089i \(0.932299\pi\)
\(312\) −0.663548 + 1.42609i −0.0375660 + 0.0807366i
\(313\) −9.47181 4.21712i −0.535379 0.238366i 0.121194 0.992629i \(-0.461328\pi\)
−0.656572 + 0.754263i \(0.727994\pi\)
\(314\) −0.963753 + 0.700207i −0.0543877 + 0.0395150i
\(315\) 18.6506 + 11.4299i 1.05084 + 0.644000i
\(316\) −4.55029 1.47848i −0.255974 0.0831710i
\(317\) −23.2914 2.44802i −1.30817 0.137495i −0.575347 0.817910i \(-0.695133\pi\)
−0.732827 + 0.680415i \(0.761800\pi\)
\(318\) 3.60977 + 3.36053i 0.202426 + 0.188449i
\(319\) 7.61163 + 12.3942i 0.426169 + 0.693943i
\(320\) −2.38669 + 1.37795i −0.133420 + 0.0770300i
\(321\) 4.60867 + 5.29273i 0.257231 + 0.295411i
\(322\) −11.0881 9.84356i −0.617914 0.548560i
\(323\) −14.1305 + 4.59127i −0.786241 + 0.255465i
\(324\) 2.20646 + 8.72534i 0.122581 + 0.484741i
\(325\) −2.34369 + 0.246331i −0.130004 + 0.0136640i
\(326\) −11.2189 2.38465i −0.621357 0.132073i
\(327\) 0.0115652 0.695882i 0.000639558 0.0384823i
\(328\) 3.46386 + 2.51664i 0.191260 + 0.138958i
\(329\) −16.4727 22.3409i −0.908170 1.23170i
\(330\) 3.45436 + 15.4500i 0.190156 + 0.850496i
\(331\) 5.45074 + 9.44095i 0.299600 + 0.518922i 0.976044 0.217572i \(-0.0698136\pi\)
−0.676445 + 0.736493i \(0.736480\pi\)
\(332\) −3.47103 + 1.54540i −0.190498 + 0.0848150i
\(333\) 9.01966 + 31.2581i 0.494274 + 1.71293i
\(334\) 11.0959 12.3232i 0.607139 0.674296i
\(335\) −9.09979 12.5248i −0.497174 0.684302i
\(336\) −2.25312 3.99042i −0.122918 0.217695i
\(337\) −24.0108 + 7.80159i −1.30795 + 0.424979i −0.878341 0.478034i \(-0.841349\pi\)
−0.429611 + 0.903014i \(0.641349\pi\)
\(338\) −11.9093 + 2.53139i −0.647778 + 0.137690i
\(339\) −6.17025 31.6022i −0.335122 1.71640i
\(340\) 5.33014 + 3.07736i 0.289067 + 0.166893i
\(341\) 0.626397 0.481611i 0.0339213 0.0260807i
\(342\) −8.71927 + 17.9532i −0.471484 + 0.970798i
\(343\) 5.35054 17.7305i 0.288902 0.957359i
\(344\) 8.01184 + 2.60320i 0.431969 + 0.140355i
\(345\) 21.8998 15.3617i 1.17905 0.827047i
\(346\) 1.19132 + 11.3347i 0.0640459 + 0.609356i
\(347\) −0.936447 8.90970i −0.0502711 0.478298i −0.990476 0.137688i \(-0.956033\pi\)
0.940205 0.340610i \(-0.110634\pi\)
\(348\) 6.21849 4.36198i 0.333346 0.233827i
\(349\) −3.82596 1.24313i −0.204799 0.0665433i 0.204821 0.978799i \(-0.434339\pi\)
−0.409620 + 0.912256i \(0.634339\pi\)
\(350\) 3.39104 5.96994i 0.181259 0.319107i
\(351\) 2.96039 3.67456i 0.158014 0.196134i
\(352\) 0.938908 3.18095i 0.0500439 0.169545i
\(353\) −20.7273 11.9669i −1.10320 0.636935i −0.166143 0.986102i \(-0.553131\pi\)
−0.937061 + 0.349167i \(0.886465\pi\)
\(354\) 2.09631 + 10.7367i 0.111417 + 0.570648i
\(355\) −11.8215 + 2.51273i −0.627418 + 0.133362i
\(356\) 3.29573 1.07085i 0.174673 0.0567548i
\(357\) −5.20186 + 8.81357i −0.275312 + 0.466463i
\(358\) 5.81144 + 7.99876i 0.307144 + 0.422748i
\(359\) −17.7065 + 19.6650i −0.934512 + 1.03788i 0.0646884 + 0.997906i \(0.479395\pi\)
−0.999201 + 0.0399755i \(0.987272\pi\)
\(360\) 7.94363 2.29217i 0.418666 0.120808i
\(361\) −23.0765 + 10.2743i −1.21455 + 0.540753i
\(362\) 7.72284 + 13.3764i 0.405904 + 0.703046i
\(363\) −15.8247 10.6104i −0.830579 0.556900i
\(364\) −0.961801 + 2.20175i −0.0504121 + 0.115403i
\(365\) 23.7687 + 17.2689i 1.24411 + 0.903898i
\(366\) 0.0846246 5.09188i 0.00442340 0.266157i
\(367\) −9.15707 1.94640i −0.477995 0.101601i −0.0373877 0.999301i \(-0.511904\pi\)
−0.440608 + 0.897700i \(0.645237\pi\)
\(368\) −5.57339 + 0.585787i −0.290533 + 0.0305363i
\(369\) −8.27285 9.82581i −0.430667 0.511511i
\(370\) 28.4236 9.23540i 1.47767 0.480126i
\(371\) 5.63384 + 5.00150i 0.292494 + 0.259665i
\(372\) −0.270975 0.311196i −0.0140494 0.0161347i
\(373\) −21.2488 + 12.2680i −1.10022 + 0.635214i −0.936279 0.351256i \(-0.885755\pi\)
−0.163943 + 0.986470i \(0.552421\pi\)
\(374\) −7.20063 + 1.73606i −0.372336 + 0.0897694i
\(375\) −8.40234 7.82219i −0.433895 0.403936i
\(376\) −10.4338 1.09664i −0.538082 0.0565547i
\(377\) −3.78759 1.23066i −0.195071 0.0633823i
\(378\) 3.68459 + 13.2448i 0.189515 + 0.681237i
\(379\) −19.2969 + 14.0200i −0.991217 + 0.720161i −0.960187 0.279357i \(-0.909879\pi\)
−0.0310297 + 0.999518i \(0.509879\pi\)
\(380\) 16.7495 + 7.45737i 0.859232 + 0.382555i
\(381\) −4.24778 + 9.12930i −0.217620 + 0.467708i
\(382\) −15.2558 + 13.7364i −0.780556 + 0.702816i
\(383\) 19.3608 + 2.03491i 0.989293 + 0.103979i 0.585329 0.810796i \(-0.300965\pi\)
0.403964 + 0.914775i \(0.367632\pi\)
\(384\) −1.68798 0.388217i −0.0861395 0.0198111i
\(385\) 5.83311 + 23.4690i 0.297283 + 1.19609i
\(386\) 23.8534i 1.21411i
\(387\) −21.4546 13.3565i −1.09060 0.678950i
\(388\) −11.9556 13.2780i −0.606954 0.674091i
\(389\) 3.11706 14.6646i 0.158041 0.743526i −0.825725 0.564073i \(-0.809234\pi\)
0.983766 0.179454i \(-0.0574330\pi\)
\(390\) −3.46409 2.60585i −0.175411 0.131952i
\(391\) 7.35643 + 10.1253i 0.372031 + 0.512056i
\(392\) −3.58484 6.01240i −0.181062 0.303672i
\(393\) 14.2925 23.8318i 0.720961 1.20215i
\(394\) 1.75186 16.6678i 0.0882574 0.839713i
\(395\) 6.59277 11.4190i 0.331718 0.574553i
\(396\) −5.02734 + 8.58638i −0.252633 + 0.431482i
\(397\) 12.3184 + 21.3361i 0.618243 + 1.07083i 0.989806 + 0.142421i \(0.0454887\pi\)
−0.371563 + 0.928408i \(0.621178\pi\)
\(398\) 18.5832 + 13.5015i 0.931490 + 0.676767i
\(399\) −12.6668 + 27.7312i −0.634134 + 1.38830i
\(400\) −0.801909 2.46802i −0.0400955 0.123401i
\(401\) 9.87635 22.1827i 0.493202 1.10775i −0.479890 0.877329i \(-0.659323\pi\)
0.973091 0.230420i \(-0.0740100\pi\)
\(402\) 1.17771 9.65836i 0.0587388 0.481715i
\(403\) −0.0449811 + 0.211619i −0.00224067 + 0.0105415i
\(404\) −14.7931 + 3.14437i −0.735984 + 0.156438i
\(405\) −24.7850 + 0.948437i −1.23158 + 0.0471282i
\(406\) 9.33872 6.88575i 0.463473 0.341734i
\(407\) −17.1315 + 31.6250i −0.849178 + 1.56759i
\(408\) 1.13403 + 3.69819i 0.0561428 + 0.183088i
\(409\) 10.9353 + 24.5611i 0.540715 + 1.21447i 0.952877 + 0.303356i \(0.0981070\pi\)
−0.412162 + 0.911110i \(0.635226\pi\)
\(410\) −8.76882 + 7.89548i −0.433061 + 0.389930i
\(411\) −9.04710 12.8977i −0.446260 0.636194i
\(412\) 1.12326 0.816095i 0.0553390 0.0402061i
\(413\) 3.58901 + 16.3203i 0.176604 + 0.803067i
\(414\) 16.6525 + 2.31200i 0.818428 + 0.113629i
\(415\) −2.17707 10.2423i −0.106868 0.502775i
\(416\) 0.369365 + 0.829607i 0.0181096 + 0.0406748i
\(417\) 20.9671 + 19.5194i 1.02676 + 0.955870i
\(418\) −20.7923 + 7.38549i −1.01698 + 0.361236i
\(419\) 9.11719i 0.445404i −0.974887 0.222702i \(-0.928512\pi\)
0.974887 0.222702i \(-0.0714877\pi\)
\(420\) 12.0479 3.78724i 0.587879 0.184799i
\(421\) −5.30508 + 16.3274i −0.258554 + 0.795747i 0.734555 + 0.678550i \(0.237391\pi\)
−0.993109 + 0.117198i \(0.962609\pi\)
\(422\) 18.5708 + 16.7212i 0.904012 + 0.813976i
\(423\) 29.5937 + 10.7153i 1.43889 + 0.520993i
\(424\) 2.83184 0.297638i 0.137526 0.0144546i
\(425\) −3.87790 + 4.30685i −0.188106 + 0.208913i
\(426\) −6.51397 3.90659i −0.315603 0.189275i
\(427\) −0.0546591 7.77886i −0.00264514 0.376446i
\(428\) 4.05186 0.195854
\(429\) 5.18214 0.599875i 0.250196 0.0289623i
\(430\) −11.6081 + 20.1058i −0.559792 + 0.969588i
\(431\) 35.8153 15.9460i 1.72516 0.768092i 0.728629 0.684909i \(-0.240158\pi\)
0.996534 0.0831836i \(-0.0265088\pi\)
\(432\) 4.63570 + 2.34739i 0.223035 + 0.112939i
\(433\) −2.30058 7.08046i −0.110559 0.340265i 0.880436 0.474165i \(-0.157250\pi\)
−0.990995 + 0.133900i \(0.957250\pi\)
\(434\) −0.425044 0.465440i −0.0204028 0.0223418i
\(435\) 8.19542 + 19.2624i 0.392940 + 0.923564i
\(436\) −0.298613 0.268872i −0.0143010 0.0128766i
\(437\) 24.9473 + 27.7068i 1.19339 + 1.32540i
\(438\) 3.53838 + 18.1225i 0.169070 + 0.865928i
\(439\) 24.1794 13.9600i 1.15402 0.666273i 0.204155 0.978939i \(-0.434555\pi\)
0.949863 + 0.312666i \(0.101222\pi\)
\(440\) 8.03686 + 4.35364i 0.383142 + 0.207552i
\(441\) 6.10506 + 20.0930i 0.290717 + 0.956809i
\(442\) 1.19208 1.64075i 0.0567013 0.0780427i
\(443\) 1.21132 + 5.69881i 0.0575516 + 0.270759i 0.997510 0.0705313i \(-0.0224695\pi\)
−0.939958 + 0.341290i \(0.889136\pi\)
\(444\) 17.0300 + 7.92389i 0.808206 + 0.376051i
\(445\) 0.998261 + 9.49782i 0.0473221 + 0.450240i
\(446\) −18.6116 8.28640i −0.881283 0.392372i
\(447\) −2.28279 25.8437i −0.107972 1.22237i
\(448\) −2.59174 0.531885i −0.122448 0.0251292i
\(449\) −6.92207 + 9.52742i −0.326673 + 0.449627i −0.940490 0.339822i \(-0.889633\pi\)
0.613817 + 0.789448i \(0.289633\pi\)
\(450\) 0.556035 + 7.76522i 0.0262117 + 0.366056i
\(451\) 1.10051 14.1577i 0.0518208 0.666658i
\(452\) −16.0995 9.29503i −0.757255 0.437202i
\(453\) 8.53466 + 2.93075i 0.400993 + 0.137698i
\(454\) −1.14243 + 3.51604i −0.0536170 + 0.165016i
\(455\) −5.38412 3.85428i −0.252411 0.180692i
\(456\) 4.51128 + 10.6033i 0.211260 + 0.496544i
\(457\) −12.2727 + 27.5649i −0.574092 + 1.28943i 0.360185 + 0.932881i \(0.382714\pi\)
−0.934276 + 0.356550i \(0.883953\pi\)
\(458\) 12.9032 + 2.74265i 0.602926 + 0.128156i
\(459\) −0.636369 11.5870i −0.0297032 0.540835i
\(460\) 1.61438 15.3598i 0.0752707 0.716153i
\(461\) −11.0690 −0.515533 −0.257767 0.966207i \(-0.582987\pi\)
−0.257767 + 0.966207i \(0.582987\pi\)
\(462\) −7.36715 + 13.2938i −0.342751 + 0.618483i
\(463\) 2.93172 0.136249 0.0681243 0.997677i \(-0.478299\pi\)
0.0681243 + 0.997677i \(0.478299\pi\)
\(464\) 0.458404 4.36142i 0.0212809 0.202474i
\(465\) 0.994150 0.552152i 0.0461026 0.0256055i
\(466\) 12.3583 + 2.62683i 0.572486 + 0.121686i
\(467\) 14.5556 32.6924i 0.673552 1.51282i −0.175480 0.984483i \(-0.556148\pi\)
0.849033 0.528341i \(-0.177186\pi\)
\(468\) −0.477561 2.68217i −0.0220753 0.123983i
\(469\) 1.44967 14.7918i 0.0669397 0.683022i
\(470\) 8.93461 27.4979i 0.412123 1.26838i
\(471\) 0.670124 1.95148i 0.0308777 0.0899193i
\(472\) 5.46971 + 3.15794i 0.251764 + 0.145356i
\(473\) −6.54858 27.1615i −0.301104 1.24888i
\(474\) 7.92280 2.42948i 0.363906 0.111590i
\(475\) −10.1477 + 13.9672i −0.465610 + 0.640857i
\(476\) 1.86533 + 5.60654i 0.0854973 + 0.256975i
\(477\) −8.46114 1.17472i −0.387409 0.0537869i
\(478\) 4.03367 + 1.79590i 0.184496 + 0.0821427i
\(479\) 2.02764 + 19.2917i 0.0926454 + 0.881462i 0.937855 + 0.347027i \(0.112809\pi\)
−0.845210 + 0.534435i \(0.820525\pi\)
\(480\) 2.01370 4.32783i 0.0919124 0.197537i
\(481\) −2.04753 9.63286i −0.0933592 0.439221i
\(482\) 6.55440 9.02135i 0.298545 0.410911i
\(483\) 25.5136 + 2.92926i 1.16091 + 0.133286i
\(484\) −10.6197 + 2.86748i −0.482713 + 0.130340i
\(485\) 42.6438 24.6204i 1.93636 1.11796i
\(486\) −11.8074 10.1777i −0.535593 0.461671i
\(487\) −5.39572 5.99255i −0.244503 0.271548i 0.608385 0.793642i \(-0.291818\pi\)
−0.852888 + 0.522094i \(0.825151\pi\)
\(488\) −2.18500 1.96738i −0.0989103 0.0890592i
\(489\) 18.2801 7.77746i 0.826654 0.351709i
\(490\) 18.2616 6.21859i 0.824975 0.280927i
\(491\) 8.27669 + 25.4730i 0.373522 + 1.14958i 0.944470 + 0.328597i \(0.106576\pi\)
−0.570948 + 0.820986i \(0.693424\pi\)
\(492\) −7.41487 0.123232i −0.334288 0.00555571i
\(493\) −8.94720 + 3.98355i −0.402962 + 0.179410i
\(494\) 3.02079 5.23215i 0.135912 0.235406i
\(495\) −20.2656 18.4720i −0.910870 0.830255i
\(496\) −0.238237 −0.0106971
\(497\) −10.0886 5.73050i −0.452534 0.257048i
\(498\) 3.38473 5.64381i 0.151673 0.252905i
\(499\) −6.22535 + 6.91395i −0.278685 + 0.309511i −0.866195 0.499706i \(-0.833441\pi\)
0.587510 + 0.809217i \(0.300108\pi\)
\(500\) −6.59156 + 0.692801i −0.294784 + 0.0309830i
\(501\) −3.47649 + 28.5106i −0.155318 + 1.27376i
\(502\) 17.9524 + 16.1644i 0.801254 + 0.721452i
\(503\) −1.28741 + 3.96225i −0.0574029 + 0.176668i −0.975647 0.219347i \(-0.929607\pi\)
0.918244 + 0.396015i \(0.129607\pi\)
\(504\) 7.16395 + 3.41729i 0.319108 + 0.152218i
\(505\) 41.6792i 1.85470i
\(506\) 11.3291 + 14.7349i 0.503638 + 0.655046i
\(507\) 14.3693 15.4350i 0.638162 0.685492i
\(508\) 2.36453 + 5.31083i 0.104909 + 0.235630i
\(509\) 3.84990 + 18.1123i 0.170644 + 0.802815i 0.977311 + 0.211809i \(0.0679356\pi\)
−0.806667 + 0.591006i \(0.798731\pi\)
\(510\) −10.6189 + 0.937975i −0.470214 + 0.0415342i
\(511\) 6.05793 + 27.5471i 0.267987 + 1.21861i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −5.49336 34.1299i −0.242538 1.50687i
\(514\) 3.99776 3.59960i 0.176334 0.158771i
\(515\) 1.55633 + 3.49556i 0.0685799 + 0.154033i
\(516\) −13.9499 + 4.27766i −0.614111 + 0.188314i
\(517\) 15.0102 + 31.3916i 0.660146 + 1.38060i
\(518\) 26.2926 + 11.4855i 1.15523 + 0.504646i
\(519\) −12.9633 14.8874i −0.569026 0.653486i
\(520\) −2.44800 + 0.520339i −0.107352 + 0.0228184i
\(521\) 2.41312 11.3528i 0.105721 0.497377i −0.893145 0.449768i \(-0.851507\pi\)
0.998866 0.0476089i \(-0.0151601\pi\)
\(522\) −4.47908 + 12.3704i −0.196044 + 0.541439i
\(523\) −3.45369 + 7.75711i −0.151019 + 0.339195i −0.973174 0.230069i \(-0.926105\pi\)
0.822155 + 0.569263i \(0.192772\pi\)
\(524\) −4.95787 15.2587i −0.216585 0.666581i
\(525\) 1.12955 + 11.8382i 0.0492978 + 0.516660i
\(526\) −11.1311 8.08723i −0.485340 0.352620i
\(527\) 0.266025 + 0.460768i 0.0115882 + 0.0200714i
\(528\) 1.83257 + 5.44442i 0.0797525 + 0.236938i
\(529\) 4.20293 7.27968i 0.182736 0.316508i
\(530\) −0.820263 + 7.80428i −0.0356299 + 0.338996i
\(531\) −13.6517 13.1393i −0.592435 0.570199i
\(532\) 7.27210 + 16.0293i 0.315285 + 0.694959i
\(533\) 2.28541 + 3.14560i 0.0989921 + 0.136251i
\(534\) −3.60817 + 4.79653i −0.156141 + 0.207566i
\(535\) −2.32166 + 10.9226i −0.100374 + 0.472223i
\(536\) −3.75888 4.17466i −0.162359 0.180318i
\(537\) −16.1965 5.56176i −0.698929 0.240008i
\(538\) 6.32794i 0.272817i
\(539\) −10.7703 + 20.5670i −0.463909 + 0.885883i
\(540\) −8.98403 + 11.1514i −0.386611 + 0.479879i
\(541\) −39.5292 4.15468i −1.69949 0.178624i −0.795436 0.606038i \(-0.792758\pi\)
−0.904056 + 0.427414i \(0.859425\pi\)
\(542\) −1.69848 + 1.52932i −0.0729560 + 0.0656899i
\(543\) −24.2556 11.2859i −1.04091 0.484326i
\(544\) 2.04020 + 0.908357i 0.0874730 + 0.0389455i
\(545\) 0.895895 0.650906i 0.0383759 0.0278818i
\(546\) −0.826147 4.07869i −0.0353558 0.174552i
\(547\) −8.50536 2.76356i −0.363663 0.118161i 0.121485 0.992593i \(-0.461234\pi\)
−0.485148 + 0.874432i \(0.661234\pi\)
\(548\) −9.04595 0.950767i −0.386424 0.0406148i
\(549\) 4.94464 + 7.30437i 0.211032 + 0.311743i
\(550\) −5.58333 + 6.55001i −0.238074 + 0.279293i
\(551\) −25.2669 + 14.5879i −1.07641 + 0.621464i
\(552\) 7.32032 6.37420i 0.311574 0.271304i
\(553\) 12.0112 3.99618i 0.510766 0.169935i
\(554\) 8.73722 2.83890i 0.371209 0.120613i
\(555\) −31.1182 + 41.3672i −1.32090 + 1.75594i
\(556\) 16.4485 1.72881i 0.697572 0.0733178i
\(557\) 14.2055 + 3.01946i 0.601904 + 0.127939i 0.498778 0.866730i \(-0.333782\pi\)
0.103126 + 0.994668i \(0.467115\pi\)
\(558\) 0.693768 + 0.171745i 0.0293695 + 0.00727055i
\(559\) 6.18908 + 4.49663i 0.261770 + 0.190187i
\(560\) 2.91882 6.68174i 0.123343 0.282355i
\(561\) 8.48360 9.62379i 0.358178 0.406317i
\(562\) −3.24458 5.61977i −0.136864 0.237056i
\(563\) −31.7810 + 14.1498i −1.33941 + 0.596344i −0.946343 0.323165i \(-0.895253\pi\)
−0.393069 + 0.919509i \(0.628587\pi\)
\(564\) 15.8857 8.82295i 0.668909 0.371513i
\(565\) 34.2812 38.0732i 1.44222 1.60175i
\(566\) −3.87757 5.33702i −0.162986 0.224331i
\(567\) −18.3986 15.1160i −0.772667 0.634811i
\(568\) −4.17069 + 1.35514i −0.174998 + 0.0568604i
\(569\) −39.3585 + 8.36592i −1.65000 + 0.350717i −0.936697 0.350142i \(-0.886133\pi\)
−0.713299 + 0.700859i \(0.752800\pi\)
\(570\) −31.1680 + 6.08547i −1.30548 + 0.254892i
\(571\) 13.0787 + 7.55102i 0.547328 + 0.316000i 0.748044 0.663649i \(-0.230993\pi\)
−0.200715 + 0.979650i \(0.564327\pi\)
\(572\) 1.70356 2.48382i 0.0712294 0.103854i
\(573\) 7.96960 34.6522i 0.332935 1.44762i
\(574\) −11.3277 + 0.0795954i −0.472809 + 0.00332225i
\(575\) 13.8310 + 4.49397i 0.576794 + 0.187412i
\(576\) 2.77967 1.12847i 0.115820 0.0470194i
\(577\) −1.60227 15.2446i −0.0667034 0.634640i −0.975892 0.218255i \(-0.929964\pi\)
0.909188 0.416385i \(-0.136703\pi\)
\(578\) 1.25564 + 11.9467i 0.0522279 + 0.496915i
\(579\) 23.7257 + 33.8237i 0.986008 + 1.40566i
\(580\) 11.4944 + 3.73475i 0.477278 + 0.155077i
\(581\) 4.96499 8.74089i 0.205983 0.362633i
\(582\) 30.1598 + 6.93642i 1.25017 + 0.287524i
\(583\) −5.75628 7.48678i −0.238401 0.310071i
\(584\) 9.23237 + 5.33031i 0.382038 + 0.220570i
\(585\) 7.50393 + 0.249492i 0.310249 + 0.0103152i
\(586\) −12.5291 + 2.66315i −0.517574 + 0.110014i
\(587\) −5.75326 + 1.86935i −0.237462 + 0.0771562i −0.425331 0.905038i \(-0.639842\pi\)
0.187868 + 0.982194i \(0.439842\pi\)
\(588\) 11.0635 + 4.95981i 0.456250 + 0.204539i
\(589\) 0.931611 + 1.28225i 0.0383864 + 0.0528343i
\(590\) −11.6469 + 12.9352i −0.479494 + 0.532532i
\(591\) 14.0945 + 25.3772i 0.579771 + 1.04388i
\(592\) 9.90692 4.41084i 0.407172 0.181285i
\(593\) −6.96755 12.0681i −0.286123 0.495579i 0.686758 0.726886i \(-0.259033\pi\)
−0.972881 + 0.231307i \(0.925700\pi\)
\(594\) −1.41174 17.1758i −0.0579244 0.704730i
\(595\) −16.1823 + 1.81587i −0.663409 + 0.0744436i
\(596\) −12.1183 8.80443i −0.496383 0.360643i
\(597\) −39.7798 0.661121i −1.62808 0.0270579i
\(598\) −4.97797 1.05810i −0.203564 0.0432689i
\(599\) 24.6676 2.59267i 1.00789 0.105933i 0.413830 0.910354i \(-0.364191\pi\)
0.594060 + 0.804421i \(0.297524\pi\)
\(600\) 3.59191 + 2.70200i 0.146639 + 0.110309i
\(601\) 3.63278 1.18036i 0.148184 0.0481479i −0.233986 0.972240i \(-0.575177\pi\)
0.382170 + 0.924092i \(0.375177\pi\)
\(602\) −21.1484 + 7.03620i −0.861945 + 0.286774i
\(603\) 7.93670 + 14.8668i 0.323207 + 0.605423i
\(604\) 4.51192 2.60496i 0.183587 0.105994i
\(605\) −1.64491 30.2703i −0.0668749 1.23066i
\(606\) 17.8488 19.1726i 0.725058 0.778833i
\(607\) 10.2443 + 1.07672i 0.415802 + 0.0437026i 0.310120 0.950697i \(-0.399631\pi\)
0.105682 + 0.994400i \(0.466297\pi\)
\(608\) 6.32723 + 2.05584i 0.256603 + 0.0833754i
\(609\) −6.39324 + 19.0526i −0.259067 + 0.772051i
\(610\) 6.55542 4.76279i 0.265421 0.192840i
\(611\) −8.70364 3.87511i −0.352111 0.156770i
\(612\) −5.28643 4.11601i −0.213691 0.166380i
\(613\) −19.8888 + 17.9080i −0.803302 + 0.723297i −0.964631 0.263604i \(-0.915089\pi\)
0.161329 + 0.986901i \(0.448422\pi\)
\(614\) 13.7144 + 1.44144i 0.553467 + 0.0581717i
\(615\) 4.58081 19.9176i 0.184716 0.803153i
\(616\) 2.99514 + 8.24798i 0.120678 + 0.332320i
\(617\) 0.534245i 0.0215079i 0.999942 + 0.0107539i \(0.00342315\pi\)
−0.999942 + 0.0107539i \(0.996577\pi\)
\(618\) −0.781034 + 2.27446i −0.0314178 + 0.0914921i
\(619\) 6.98455 + 7.75712i 0.280733 + 0.311785i 0.866976 0.498350i \(-0.166060\pi\)
−0.586243 + 0.810135i \(0.699394\pi\)
\(620\) 0.136506 0.642211i 0.00548222 0.0257918i
\(621\) −25.9127 + 13.2851i −1.03984 + 0.533111i
\(622\) −17.9875 24.7577i −0.721234 0.992693i
\(623\) −5.33680 + 7.45508i −0.213815 + 0.298681i
\(624\) −1.34892 0.808980i −0.0540000 0.0323851i
\(625\) 3.26557 31.0698i 0.130623 1.24279i
\(626\) 5.18410 8.97912i 0.207198 0.358878i
\(627\) 22.1371 31.1535i 0.884071 1.24415i
\(628\) −0.595632 1.03166i −0.0237683 0.0411679i
\(629\) −19.5934 14.2354i −0.781239 0.567603i
\(630\) −13.3168 + 17.3537i −0.530553 + 0.691388i
\(631\) −9.40698 28.9517i −0.374486 1.15255i −0.943825 0.330446i \(-0.892801\pi\)
0.569339 0.822103i \(-0.307199\pi\)
\(632\) 1.94602 4.37082i 0.0774083 0.173862i
\(633\) −42.9648 5.23899i −1.70770 0.208231i
\(634\) 4.86922 22.9079i 0.193382 0.909789i
\(635\) −15.6712 + 3.33101i −0.621891 + 0.132187i
\(636\) −3.71945 + 3.23873i −0.147486 + 0.128424i
\(637\) −1.40891 6.19873i −0.0558229 0.245603i
\(638\) −13.1220 + 6.27438i −0.519503 + 0.248405i
\(639\) 13.1224 0.939639i 0.519114 0.0371715i
\(640\) −1.12093 2.51765i −0.0443086 0.0995188i
\(641\) 2.88041 2.59353i 0.113769 0.102438i −0.610283 0.792184i \(-0.708944\pi\)
0.724052 + 0.689745i \(0.242277\pi\)
\(642\) −5.74547 + 4.03018i −0.226756 + 0.159059i
\(643\) 36.1152 26.2392i 1.42425 1.03477i 0.433193 0.901301i \(-0.357387\pi\)
0.991052 0.133473i \(-0.0426131\pi\)
\(644\) 10.9487 9.99840i 0.431437 0.393992i
\(645\) −3.53813 40.0556i −0.139314 1.57719i
\(646\) −3.08908 14.5330i −0.121538 0.571793i
\(647\) 8.39624 + 18.8583i 0.330090 + 0.741395i 0.999999 0.00104834i \(-0.000333697\pi\)
−0.669909 + 0.742443i \(0.733667\pi\)
\(648\) −8.90818 + 1.28233i −0.349946 + 0.0503747i
\(649\) −0.568517 20.9397i −0.0223162 0.821954i
\(650\) 2.35660i 0.0924333i
\(651\) 1.06565 + 0.237217i 0.0417663 + 0.00929726i
\(652\) 3.54428 10.9082i 0.138805 0.427197i
\(653\) 1.51251 + 1.36187i 0.0591891 + 0.0532941i 0.698194 0.715908i \(-0.253987\pi\)
−0.639005 + 0.769202i \(0.720654\pi\)
\(654\) 0.690861 + 0.0842413i 0.0270148 + 0.00329410i
\(655\) 43.9736 4.62181i 1.71819 0.180589i
\(656\) −2.86493 + 3.18183i −0.111857 + 0.124229i
\(657\) −23.0429 22.1780i −0.898989 0.865246i
\(658\) 23.9404 14.0472i 0.933295 0.547617i
\(659\) −42.4842 −1.65495 −0.827475 0.561503i \(-0.810223\pi\)
−0.827475 + 0.561503i \(0.810223\pi\)
\(660\) −15.7265 + 1.82047i −0.612152 + 0.0708617i
\(661\) 3.30366 5.72211i 0.128498 0.222564i −0.794597 0.607137i \(-0.792318\pi\)
0.923095 + 0.384573i \(0.125651\pi\)
\(662\) −9.95899 + 4.43403i −0.387067 + 0.172333i
\(663\) −0.0583720 + 3.51226i −0.00226698 + 0.136405i
\(664\) −1.17412 3.61356i −0.0455645 0.140233i
\(665\) −47.3768 + 10.4187i −1.83719 + 0.404020i
\(666\) −32.0297 + 5.70289i −1.24112 + 0.220982i
\(667\) 18.2639 + 16.4449i 0.707180 + 0.636748i
\(668\) 11.0959 + 12.3232i 0.429312 + 0.476800i
\(669\) 34.6329 6.76199i 1.33899 0.261433i
\(670\) 13.4074 7.74074i 0.517971 0.299051i
\(671\) −1.76784 + 9.58998i −0.0682467 + 0.370217i
\(672\) 4.20408 1.82366i 0.162176 0.0703493i
\(673\) −7.43753 + 10.2369i −0.286696 + 0.394603i −0.927937 0.372736i \(-0.878420\pi\)
0.641242 + 0.767339i \(0.278420\pi\)
\(674\) −5.24903 24.6948i −0.202185 0.951207i
\(675\) −8.51211 10.4579i −0.327631 0.402524i
\(676\) −1.27267 12.1086i −0.0489488 0.465716i
\(677\) 35.4891 + 15.8007i 1.36396 + 0.607272i 0.952606 0.304206i \(-0.0983911\pi\)
0.411349 + 0.911478i \(0.365058\pi\)
\(678\) 32.0741 2.83312i 1.23180 0.108805i
\(679\) 46.3075 + 9.50339i 1.77712 + 0.364707i
\(680\) −3.61765 + 4.97927i −0.138731 + 0.190946i
\(681\) −1.87728 6.12201i −0.0719375 0.234596i
\(682\) 0.413497 + 0.673308i 0.0158336 + 0.0257823i
\(683\) 16.8137 + 9.70740i 0.643359 + 0.371443i 0.785907 0.618345i \(-0.212196\pi\)
−0.142549 + 0.989788i \(0.545530\pi\)
\(684\) −16.9434 10.5481i −0.647849 0.403318i
\(685\) 7.74617 23.8403i 0.295966 0.910889i
\(686\) 17.0741 + 7.17457i 0.651893 + 0.273927i
\(687\) −21.0245 + 8.94509i −0.802133 + 0.341276i
\(688\) −3.42641 + 7.69584i −0.130631 + 0.293401i
\(689\) 2.52930 + 0.537619i 0.0963587 + 0.0204817i
\(690\) 12.9884 + 23.3856i 0.494460 + 0.890275i
\(691\) −0.0343623 + 0.326935i −0.00130720 + 0.0124372i −0.995156 0.0983078i \(-0.968657\pi\)
0.993849 + 0.110745i \(0.0353237\pi\)
\(692\) −11.3971 −0.433253
\(693\) −2.77616 26.1781i −0.105457 0.994424i
\(694\) 8.95878 0.340071
\(695\) −4.76444 + 45.3306i −0.180725 + 1.71949i
\(696\) 3.68807 + 6.64038i 0.139796 + 0.251703i
\(697\) 9.35299 + 1.98804i 0.354270 + 0.0753024i
\(698\) 1.63624 3.67506i 0.0619327 0.139103i
\(699\) −20.1366 + 8.56734i −0.761636 + 0.324047i
\(700\) 5.58278 + 3.99649i 0.211009 + 0.151053i
\(701\) 9.58667 29.5047i 0.362084 1.11438i −0.589704 0.807620i \(-0.700755\pi\)
0.951787 0.306759i \(-0.0992446\pi\)
\(702\) 3.34499 + 3.32827i 0.126249 + 0.125617i
\(703\) −62.4808 36.0733i −2.35651 1.36053i
\(704\) 3.06538 + 1.26626i 0.115531 + 0.0477241i
\(705\) 14.6816 + 47.8783i 0.552942 + 1.80320i
\(706\) 14.0680 19.3629i 0.529454 0.728732i
\(707\) 26.5645 29.9230i 0.999060 1.12537i
\(708\) −10.8970 + 0.962535i −0.409534 + 0.0361743i
\(709\) −38.1680 16.9935i −1.43343 0.638204i −0.464508 0.885569i \(-0.653769\pi\)
−0.968923 + 0.247364i \(0.920436\pi\)
\(710\) −1.26329 12.0194i −0.0474103 0.451078i
\(711\) −8.81792 + 11.3254i −0.330698 + 0.424734i
\(712\) 0.720483 + 3.38961i 0.0270012 + 0.127031i
\(713\) 0.784752 1.08012i 0.0293892 0.0404508i
\(714\) −8.22154 6.09463i −0.307684 0.228086i
\(715\) 5.71948 + 6.01545i 0.213896 + 0.224965i
\(716\) −8.56240 + 4.94350i −0.319992 + 0.184747i
\(717\) −7.50596 + 1.46552i −0.280315 + 0.0547308i
\(718\) −17.7065 19.6650i −0.660800 0.733893i
\(719\) −7.76133 6.98833i −0.289449 0.260621i 0.511595 0.859227i \(-0.329055\pi\)
−0.801044 + 0.598606i \(0.795722\pi\)
\(720\) 1.44928 + 8.13971i 0.0540113 + 0.303349i
\(721\) −1.11057 + 3.50152i −0.0413600 + 0.130404i
\(722\) −7.80588 24.0240i −0.290505 0.894082i
\(723\) −0.320947 + 19.3114i −0.0119361 + 0.718200i
\(724\) −14.1103 + 6.28233i −0.524407 + 0.233481i
\(725\) −5.69019 + 9.85570i −0.211328 + 0.366032i
\(726\) 12.2064 14.6289i 0.453021 0.542929i
\(727\) 40.2565 1.49303 0.746515 0.665368i \(-0.231725\pi\)
0.746515 + 0.665368i \(0.231725\pi\)
\(728\) −2.08915 1.18668i −0.0774290 0.0439812i
\(729\) 26.8659 + 2.68765i 0.995033 + 0.0995427i
\(730\) −19.6589 + 21.8334i −0.727607 + 0.808089i
\(731\) 18.7104 1.96654i 0.692030 0.0727352i
\(732\) 5.05514 + 0.616408i 0.186844 + 0.0227831i
\(733\) −4.49741 4.04948i −0.166115 0.149571i 0.581881 0.813274i \(-0.302317\pi\)
−0.747996 + 0.663703i \(0.768984\pi\)
\(734\) 2.89291 8.90345i 0.106779 0.328633i
\(735\) −19.7093 + 26.9817i −0.726989 + 0.995236i
\(736\) 5.60409i 0.206570i
\(737\) −5.27437 + 17.8692i −0.194284 + 0.658220i
\(738\) 10.6367 7.20045i 0.391544 0.265052i
\(739\) 7.30925 + 16.4169i 0.268875 + 0.603904i 0.996639 0.0819247i \(-0.0261067\pi\)
−0.727763 + 0.685828i \(0.759440\pi\)
\(740\) 6.21373 + 29.2333i 0.228421 + 1.07464i
\(741\) 0.920732 + 10.4237i 0.0338239 + 0.382925i
\(742\) −5.56300 + 5.08018i −0.204224 + 0.186499i
\(743\) 27.5255 19.9984i 1.00981 0.733672i 0.0456429 0.998958i \(-0.485466\pi\)
0.964170 + 0.265286i \(0.0854664\pi\)
\(744\) 0.337815 0.236962i 0.0123849 0.00868743i
\(745\) 30.6776 27.6222i 1.12394 1.01200i
\(746\) −9.97970 22.4148i −0.365383 0.820663i
\(747\) 0.814118 + 11.3694i 0.0297870 + 0.415986i
\(748\) −0.973877 7.34265i −0.0356085 0.268474i
\(749\) −8.62835 + 6.36197i −0.315273 + 0.232461i
\(750\) 8.65763 7.53867i 0.316132 0.275273i
\(751\) 1.92014 0.408137i 0.0700667 0.0148931i −0.172745 0.984967i \(-0.555264\pi\)
0.242812 + 0.970073i \(0.421930\pi\)
\(752\) 2.18126 10.2620i 0.0795423 0.374217i
\(753\) −41.5340 5.06453i −1.51358 0.184562i
\(754\) 1.61983 3.63820i 0.0589908 0.132495i
\(755\) 4.43688 + 13.6553i 0.161475 + 0.496968i
\(756\) −13.5574 + 2.27995i −0.493076 + 0.0829212i
\(757\) 14.6142 + 10.6179i 0.531163 + 0.385913i 0.820793 0.571226i \(-0.193532\pi\)
−0.289629 + 0.957139i \(0.593532\pi\)
\(758\) −11.9262 20.6567i −0.433178 0.750286i
\(759\) −30.7204 9.62539i −1.11508 0.349380i
\(760\) −9.16732 + 15.8783i −0.332534 + 0.575965i
\(761\) −0.925539 + 8.80591i −0.0335507 + 0.319214i 0.964856 + 0.262781i \(0.0846395\pi\)
−0.998406 + 0.0564334i \(0.982027\pi\)
\(762\) −8.63527 5.17878i −0.312823 0.187608i
\(763\) 1.05805 + 0.103695i 0.0383041 + 0.00375401i
\(764\) −12.0665 16.6081i −0.436550 0.600860i
\(765\) 14.1245 11.8921i 0.510673 0.429961i
\(766\) −4.04752 + 19.0421i −0.146243 + 0.688018i
\(767\) 3.83784 + 4.26235i 0.138576 + 0.153905i
\(768\) 0.562532 1.63816i 0.0202986 0.0591119i
\(769\) 5.92488i 0.213657i −0.994277 0.106828i \(-0.965930\pi\)
0.994277 0.106828i \(-0.0340695\pi\)
\(770\) −23.9501 + 3.34798i −0.863103 + 0.120653i
\(771\) −2.08842 + 9.08053i −0.0752125 + 0.327027i
\(772\) 23.7227 + 2.49336i 0.853799 + 0.0897379i
\(773\)