Properties

Label 230.2.j.a.29.7
Level $230$
Weight $2$
Character 230.29
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 29.7
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.909632 + 0.415415i) q^{2} +(-0.880099 + 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-2.18539 + 0.473349i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(3.80587 + 0.547202i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +O(q^{10})\) \(q+(0.909632 + 0.415415i) q^{2} +(-0.880099 + 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-2.18539 + 0.473349i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(3.80587 + 0.547202i) q^{7} +(0.281733 + 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +(-2.18454 - 0.477271i) q^{10} +(-1.34792 - 2.95153i) q^{11} +(-2.84158 + 1.29771i) q^{12} +(-1.88976 + 0.271707i) q^{13} +(3.23463 + 2.07877i) q^{14} +(0.504573 - 6.96696i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(4.55253 + 3.94479i) q^{17} +(-3.65400 - 5.68573i) q^{18} +(2.42138 + 2.79442i) q^{19} +(-1.78886 - 1.34163i) q^{20} +(-4.98970 + 10.9259i) q^{21} -3.24475i q^{22} +(-4.49587 + 1.66947i) q^{23} -3.12388 q^{24} +(4.55188 - 2.06891i) q^{25} +(-1.83186 - 0.537883i) q^{26} +(8.87367 - 7.68907i) q^{27} +(2.07877 + 3.23463i) q^{28} +(0.494989 - 0.571248i) q^{29} +(3.35316 - 6.12777i) q^{30} +(9.29383 - 2.72892i) q^{31} +(-0.540641 + 0.841254i) q^{32} +(10.0330 - 1.44253i) q^{33} +(2.50240 + 5.47950i) q^{34} +(-8.57635 + 0.605656i) q^{35} +(-0.961854 - 6.68984i) q^{36} +(-0.639776 + 0.995511i) q^{37} +(1.04172 + 3.54777i) q^{38} +(0.848781 - 5.90340i) q^{39} +(-1.06987 - 1.96351i) q^{40} +(-3.65770 + 2.35066i) q^{41} +(-9.07758 + 7.86577i) q^{42} +(-0.624091 + 2.12546i) q^{43} +(1.34792 - 2.95153i) q^{44} +(14.1552 + 5.29408i) q^{45} +(-4.78311 - 0.349047i) q^{46} -3.45884i q^{47} +(-2.84158 - 1.29771i) q^{48} +(7.46880 + 2.19304i) q^{49} +(4.99999 + 0.00897565i) q^{50} +(-15.8306 + 10.1737i) q^{51} +(-1.44287 - 1.25026i) q^{52} +(10.6234 + 1.52741i) q^{53} +(11.2659 - 3.30797i) q^{54} +(4.34283 + 5.81221i) q^{55} +(0.547202 + 3.80587i) q^{56} +(-10.5069 + 4.79834i) q^{57} +(0.687563 - 0.313999i) q^{58} +(-1.24189 - 8.63752i) q^{59} +(5.59571 - 4.18106i) q^{60} +(3.29564 - 0.967689i) q^{61} +(9.58760 + 1.37849i) q^{62} +(-19.6397 - 17.0179i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(4.00126 - 1.48830i) q^{65} +(9.72562 + 2.85570i) q^{66} +(-10.2270 - 4.67052i) q^{67} +6.02386i q^{68} +(-1.04717 - 14.9450i) q^{69} +(-8.05292 - 3.01182i) q^{70} +(2.37494 - 5.20039i) q^{71} +(1.90413 - 6.48487i) q^{72} +(-1.37929 + 1.19516i) q^{73} +(-0.995511 + 0.639776i) q^{74} +(2.19512 + 15.4644i) q^{75} +(-0.526216 + 3.65991i) q^{76} +(-3.51492 - 11.9707i) q^{77} +(3.22444 - 5.01732i) q^{78} +(-0.926009 - 6.44053i) q^{79} +(-0.157517 - 2.23051i) q^{80} +(6.81417 + 14.9209i) q^{81} +(-4.30366 + 0.618773i) q^{82} +(0.361436 - 0.562406i) q^{83} +(-11.5248 + 3.38399i) q^{84} +(-11.8163 - 6.46598i) q^{85} +(-1.45064 + 1.67413i) q^{86} +(1.27659 + 1.98641i) q^{87} +(2.45222 - 2.12486i) q^{88} +(-2.31890 - 0.680890i) q^{89} +(10.6767 + 10.6959i) q^{90} -7.34088 q^{91} +(-4.20587 - 2.30448i) q^{92} +30.2585i q^{93} +(1.43685 - 3.14627i) q^{94} +(-6.61440 - 4.96075i) q^{95} +(-2.04571 - 2.36087i) q^{96} +(-0.0374373 - 0.0582536i) q^{97} +(5.88284 + 5.09751i) q^{98} +(-3.12097 + 21.7069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.909632 + 0.415415i 0.643207 + 0.293743i
\(3\) −0.880099 + 2.99734i −0.508126 + 1.73052i 0.160612 + 0.987018i \(0.448653\pi\)
−0.668737 + 0.743499i \(0.733165\pi\)
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −2.18539 + 0.473349i −0.977337 + 0.211688i
\(6\) −2.04571 + 2.36087i −0.835157 + 0.963822i
\(7\) 3.80587 + 0.547202i 1.43849 + 0.206823i 0.817016 0.576615i \(-0.195627\pi\)
0.621470 + 0.783438i \(0.286536\pi\)
\(8\) 0.281733 + 0.959493i 0.0996075 + 0.339232i
\(9\) −5.68573 3.65400i −1.89524 1.21800i
\(10\) −2.18454 0.477271i −0.690812 0.150926i
\(11\) −1.34792 2.95153i −0.406412 0.889918i −0.996580 0.0826376i \(-0.973666\pi\)
0.590168 0.807281i \(-0.299062\pi\)
\(12\) −2.84158 + 1.29771i −0.820294 + 0.374616i
\(13\) −1.88976 + 0.271707i −0.524126 + 0.0753580i −0.399299 0.916821i \(-0.630747\pi\)
−0.124827 + 0.992179i \(0.539838\pi\)
\(14\) 3.23463 + 2.07877i 0.864491 + 0.555575i
\(15\) 0.504573 6.96696i 0.130280 1.79886i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) 4.55253 + 3.94479i 1.10415 + 0.956752i 0.999288 0.0377344i \(-0.0120141\pi\)
0.104863 + 0.994487i \(0.466560\pi\)
\(18\) −3.65400 5.68573i −0.861255 1.34014i
\(19\) 2.42138 + 2.79442i 0.555503 + 0.641084i 0.962156 0.272498i \(-0.0878499\pi\)
−0.406654 + 0.913582i \(0.633304\pi\)
\(20\) −1.78886 1.34163i −0.400002 0.299998i
\(21\) −4.98970 + 10.9259i −1.08884 + 2.38423i
\(22\) 3.24475i 0.691782i
\(23\) −4.49587 + 1.66947i −0.937454 + 0.348109i
\(24\) −3.12388 −0.637660
\(25\) 4.55188 2.06891i 0.910376 0.413781i
\(26\) −1.83186 0.537883i −0.359257 0.105488i
\(27\) 8.87367 7.68907i 1.70774 1.47976i
\(28\) 2.07877 + 3.23463i 0.392851 + 0.611287i
\(29\) 0.494989 0.571248i 0.0919172 0.106078i −0.707928 0.706285i \(-0.750370\pi\)
0.799845 + 0.600207i \(0.204915\pi\)
\(30\) 3.35316 6.12777i 0.612200 1.11877i
\(31\) 9.29383 2.72892i 1.66922 0.490128i 0.695625 0.718405i \(-0.255127\pi\)
0.973596 + 0.228277i \(0.0733092\pi\)
\(32\) −0.540641 + 0.841254i −0.0955727 + 0.148714i
\(33\) 10.0330 1.44253i 1.74653 0.251113i
\(34\) 2.50240 + 5.47950i 0.429159 + 0.939726i
\(35\) −8.57635 + 0.605656i −1.44967 + 0.102374i
\(36\) −0.961854 6.68984i −0.160309 1.11497i
\(37\) −0.639776 + 0.995511i −0.105179 + 0.163661i −0.889853 0.456246i \(-0.849194\pi\)
0.784675 + 0.619908i \(0.212830\pi\)
\(38\) 1.04172 + 3.54777i 0.168989 + 0.575525i
\(39\) 0.848781 5.90340i 0.135914 0.945300i
\(40\) −1.06987 1.96351i −0.169162 0.310458i
\(41\) −3.65770 + 2.35066i −0.571237 + 0.367111i −0.794145 0.607728i \(-0.792081\pi\)
0.222909 + 0.974839i \(0.428445\pi\)
\(42\) −9.07758 + 7.86577i −1.40070 + 1.21371i
\(43\) −0.624091 + 2.12546i −0.0951730 + 0.324130i −0.993294 0.115620i \(-0.963115\pi\)
0.898121 + 0.439749i \(0.144933\pi\)
\(44\) 1.34792 2.95153i 0.203206 0.444959i
\(45\) 14.1552 + 5.29408i 2.11013 + 0.789195i
\(46\) −4.78311 0.349047i −0.705231 0.0514642i
\(47\) 3.45884i 0.504523i −0.967659 0.252262i \(-0.918826\pi\)
0.967659 0.252262i \(-0.0811743\pi\)
\(48\) −2.84158 1.29771i −0.410147 0.187308i
\(49\) 7.46880 + 2.19304i 1.06697 + 0.313291i
\(50\) 4.99999 + 0.00897565i 0.707106 + 0.00126935i
\(51\) −15.8306 + 10.1737i −2.21672 + 1.42460i
\(52\) −1.44287 1.25026i −0.200091 0.173380i
\(53\) 10.6234 + 1.52741i 1.45923 + 0.209806i 0.825787 0.563983i \(-0.190731\pi\)
0.633444 + 0.773788i \(0.281641\pi\)
\(54\) 11.2659 3.30797i 1.53310 0.450158i
\(55\) 4.34283 + 5.81221i 0.585587 + 0.783718i
\(56\) 0.547202 + 3.80587i 0.0731230 + 0.508581i
\(57\) −10.5069 + 4.79834i −1.39167 + 0.635555i
\(58\) 0.687563 0.313999i 0.0902814 0.0412301i
\(59\) −1.24189 8.63752i −0.161680 1.12451i −0.895467 0.445129i \(-0.853158\pi\)
0.733787 0.679380i \(-0.237751\pi\)
\(60\) 5.59571 4.18106i 0.722402 0.539773i
\(61\) 3.29564 0.967689i 0.421964 0.123900i −0.0638551 0.997959i \(-0.520340\pi\)
0.485819 + 0.874059i \(0.338521\pi\)
\(62\) 9.58760 + 1.37849i 1.21763 + 0.175068i
\(63\) −19.6397 17.0179i −2.47437 2.14405i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) 4.00126 1.48830i 0.496296 0.184601i
\(66\) 9.72562 + 2.85570i 1.19714 + 0.351512i
\(67\) −10.2270 4.67052i −1.24943 0.570595i −0.322763 0.946480i \(-0.604612\pi\)
−0.926666 + 0.375885i \(0.877339\pi\)
\(68\) 6.02386i 0.730501i
\(69\) −1.04717 14.9450i −0.126064 1.79916i
\(70\) −8.05292 3.01182i −0.962508 0.359981i
\(71\) 2.37494 5.20039i 0.281854 0.617173i −0.714763 0.699367i \(-0.753465\pi\)
0.996616 + 0.0821938i \(0.0261927\pi\)
\(72\) 1.90413 6.48487i 0.224404 0.764249i
\(73\) −1.37929 + 1.19516i −0.161434 + 0.139883i −0.731832 0.681485i \(-0.761334\pi\)
0.570398 + 0.821368i \(0.306789\pi\)
\(74\) −0.995511 + 0.639776i −0.115726 + 0.0743725i
\(75\) 2.19512 + 15.4644i 0.253470 + 1.78567i
\(76\) −0.526216 + 3.65991i −0.0603611 + 0.419821i
\(77\) −3.51492 11.9707i −0.400562 1.36419i
\(78\) 3.22444 5.01732i 0.365096 0.568100i
\(79\) −0.926009 6.44053i −0.104184 0.724616i −0.973221 0.229870i \(-0.926170\pi\)
0.869037 0.494747i \(-0.164739\pi\)
\(80\) −0.157517 2.23051i −0.0176110 0.249379i
\(81\) 6.81417 + 14.9209i 0.757130 + 1.65788i
\(82\) −4.30366 + 0.618773i −0.475260 + 0.0683320i
\(83\) 0.361436 0.562406i 0.0396728 0.0617321i −0.820851 0.571143i \(-0.806500\pi\)
0.860523 + 0.509411i \(0.170137\pi\)
\(84\) −11.5248 + 3.38399i −1.25746 + 0.369224i
\(85\) −11.8163 6.46598i −1.28166 0.701334i
\(86\) −1.45064 + 1.67413i −0.156427 + 0.180526i
\(87\) 1.27659 + 1.98641i 0.136864 + 0.212965i
\(88\) 2.45222 2.12486i 0.261407 0.226511i
\(89\) −2.31890 0.680890i −0.245803 0.0721742i 0.156510 0.987676i \(-0.449976\pi\)
−0.402313 + 0.915502i \(0.631794\pi\)
\(90\) 10.6767 + 10.6959i 1.12543 + 1.12745i
\(91\) −7.34088 −0.769534
\(92\) −4.20587 2.30448i −0.438493 0.240259i
\(93\) 30.2585i 3.13766i
\(94\) 1.43685 3.14627i 0.148200 0.324513i
\(95\) −6.61440 4.96075i −0.678623 0.508962i
\(96\) −2.04571 2.36087i −0.208789 0.240956i
\(97\) −0.0374373 0.0582536i −0.00380118 0.00591475i 0.839348 0.543595i \(-0.182937\pi\)
−0.843149 + 0.537680i \(0.819301\pi\)
\(98\) 5.88284 + 5.09751i 0.594256 + 0.514926i
\(99\) −3.12097 + 21.7069i −0.313670 + 2.18162i
\(100\) 4.54442 + 2.08524i 0.454442 + 0.208524i
\(101\) −4.86892 3.12907i −0.484476 0.311354i 0.275504 0.961300i \(-0.411155\pi\)
−0.759980 + 0.649946i \(0.774791\pi\)
\(102\) −18.6263 + 2.67806i −1.84428 + 0.265167i
\(103\) 8.10752 3.70258i 0.798858 0.364826i 0.0262064 0.999657i \(-0.491657\pi\)
0.772652 + 0.634830i \(0.218930\pi\)
\(104\) −0.793109 1.73667i −0.0777707 0.170294i
\(105\) 5.73268 26.2393i 0.559452 2.56069i
\(106\) 9.02884 + 5.80248i 0.876959 + 0.563587i
\(107\) 1.32004 + 4.49564i 0.127613 + 0.434610i 0.998368 0.0571070i \(-0.0181876\pi\)
−0.870755 + 0.491717i \(0.836369\pi\)
\(108\) 11.6220 + 1.67100i 1.11833 + 0.160792i
\(109\) −4.54952 + 5.25043i −0.435765 + 0.502900i −0.930575 0.366102i \(-0.880692\pi\)
0.494810 + 0.869001i \(0.335238\pi\)
\(110\) 1.53590 + 7.09104i 0.146442 + 0.676105i
\(111\) −2.42082 2.79378i −0.229774 0.265174i
\(112\) −1.08326 + 3.68926i −0.102359 + 0.348602i
\(113\) −9.35804 4.27367i −0.880330 0.402033i −0.0766242 0.997060i \(-0.524414\pi\)
−0.803706 + 0.595027i \(0.797141\pi\)
\(114\) −11.5507 −1.08182
\(115\) 9.03500 5.77657i 0.842518 0.538668i
\(116\) 0.755869 0.0701807
\(117\) 11.7375 + 5.36034i 1.08513 + 0.495563i
\(118\) 2.45849 8.37286i 0.226323 0.770784i
\(119\) 15.1678 + 17.5045i 1.39043 + 1.60464i
\(120\) 6.82691 1.47869i 0.623209 0.134985i
\(121\) 0.308846 0.356427i 0.0280769 0.0324024i
\(122\) 3.39982 + 0.488820i 0.307805 + 0.0442557i
\(123\) −3.82660 13.0322i −0.345033 1.17507i
\(124\) 8.14854 + 5.23675i 0.731761 + 0.470274i
\(125\) −8.96833 + 6.67600i −0.802152 + 0.597120i
\(126\) −10.7954 23.6386i −0.961731 2.10590i
\(127\) 13.7245 6.26776i 1.21785 0.556174i 0.300320 0.953839i \(-0.402907\pi\)
0.917531 + 0.397665i \(0.130179\pi\)
\(128\) −0.989821 + 0.142315i −0.0874887 + 0.0125790i
\(129\) −5.82147 3.74123i −0.512552 0.329397i
\(130\) 4.25794 + 0.308376i 0.373446 + 0.0270463i
\(131\) 0.876006 6.09275i 0.0765370 0.532326i −0.915096 0.403236i \(-0.867885\pi\)
0.991633 0.129090i \(-0.0412056\pi\)
\(132\) 7.66043 + 6.63780i 0.666755 + 0.577747i
\(133\) 7.68635 + 11.9602i 0.666491 + 1.03708i
\(134\) −7.36262 8.49691i −0.636033 0.734022i
\(135\) −15.7528 + 21.0040i −1.35579 + 1.80774i
\(136\) −2.50240 + 5.47950i −0.214579 + 0.469863i
\(137\) 10.6768i 0.912181i −0.889933 0.456090i \(-0.849249\pi\)
0.889933 0.456090i \(-0.150751\pi\)
\(138\) 5.25583 14.0294i 0.447406 1.19426i
\(139\) −5.71482 −0.484725 −0.242362 0.970186i \(-0.577922\pi\)
−0.242362 + 0.970186i \(0.577922\pi\)
\(140\) −6.07404 6.08495i −0.513350 0.514272i
\(141\) 10.3673 + 3.04412i 0.873086 + 0.256361i
\(142\) 4.32064 3.74386i 0.362580 0.314178i
\(143\) 3.34919 + 5.21145i 0.280074 + 0.435803i
\(144\) 4.42597 5.10784i 0.368831 0.425653i
\(145\) −0.811346 + 1.48270i −0.0673786 + 0.123132i
\(146\) −1.75114 + 0.514180i −0.144925 + 0.0425539i
\(147\) −13.1466 + 20.4565i −1.08431 + 1.68722i
\(148\) −1.17132 + 0.168411i −0.0962821 + 0.0138433i
\(149\) 5.53347 + 12.1166i 0.453320 + 0.992632i 0.988960 + 0.148185i \(0.0473432\pi\)
−0.535640 + 0.844447i \(0.679930\pi\)
\(150\) −4.42739 + 14.9788i −0.361495 + 1.22301i
\(151\) 0.452539 + 3.14748i 0.0368271 + 0.256138i 0.999915 0.0130496i \(-0.00415392\pi\)
−0.963088 + 0.269188i \(0.913245\pi\)
\(152\) −1.99905 + 3.11058i −0.162144 + 0.252301i
\(153\) −11.4702 39.0639i −0.927311 3.15813i
\(154\) 1.77553 12.3491i 0.143076 0.995119i
\(155\) −19.0189 + 10.3630i −1.52764 + 0.832375i
\(156\) 5.01732 3.22444i 0.401707 0.258162i
\(157\) −5.26961 + 4.56614i −0.420560 + 0.364418i −0.839281 0.543697i \(-0.817024\pi\)
0.418721 + 0.908115i \(0.362479\pi\)
\(158\) 1.83317 6.24319i 0.145839 0.496682i
\(159\) −13.9278 + 30.4976i −1.10454 + 2.41862i
\(160\) 0.783306 2.09438i 0.0619258 0.165575i
\(161\) −18.0243 + 3.89365i −1.42051 + 0.306863i
\(162\) 16.4033i 1.28876i
\(163\) 1.69515 + 0.774148i 0.132774 + 0.0606360i 0.480694 0.876888i \(-0.340385\pi\)
−0.347920 + 0.937524i \(0.613112\pi\)
\(164\) −4.17179 1.22495i −0.325762 0.0956525i
\(165\) −21.2433 + 7.90163i −1.65379 + 0.615141i
\(166\) 0.562406 0.361436i 0.0436512 0.0280529i
\(167\) −10.4732 9.07509i −0.810441 0.702251i 0.147548 0.989055i \(-0.452862\pi\)
−0.957989 + 0.286803i \(0.907407\pi\)
\(168\) −11.8891 1.70939i −0.917264 0.131883i
\(169\) −8.97603 + 2.63560i −0.690463 + 0.202738i
\(170\) −8.06245 10.7903i −0.618361 0.827582i
\(171\) −3.55650 24.7360i −0.271973 1.89161i
\(172\) −2.01501 + 0.920223i −0.153643 + 0.0701664i
\(173\) −1.04312 + 0.476376i −0.0793067 + 0.0362182i −0.454673 0.890658i \(-0.650244\pi\)
0.375367 + 0.926876i \(0.377517\pi\)
\(174\) 0.336040 + 2.33721i 0.0254752 + 0.177184i
\(175\) 18.4560 5.38320i 1.39514 0.406932i
\(176\) 3.11331 0.914151i 0.234675 0.0689067i
\(177\) 26.9826 + 3.87951i 2.02814 + 0.291602i
\(178\) −1.82649 1.58267i −0.136901 0.118626i
\(179\) 17.1805 11.0413i 1.28413 0.825262i 0.292741 0.956192i \(-0.405433\pi\)
0.991392 + 0.130929i \(0.0417961\pi\)
\(180\) 5.26866 + 14.1646i 0.392703 + 1.05577i
\(181\) 14.7310 + 4.32542i 1.09495 + 0.321506i 0.778843 0.627218i \(-0.215807\pi\)
0.316105 + 0.948724i \(0.397625\pi\)
\(182\) −6.67750 3.04951i −0.494969 0.226045i
\(183\) 10.7298i 0.793173i
\(184\) −2.86848 3.84341i −0.211467 0.283340i
\(185\) 0.926938 2.47842i 0.0681498 0.182217i
\(186\) −12.5698 + 27.5241i −0.921666 + 2.01817i
\(187\) 5.50672 18.7542i 0.402691 1.37144i
\(188\) 2.61401 2.26506i 0.190647 0.165196i
\(189\) 37.9795 24.4080i 2.76260 1.77542i
\(190\) −3.95590 7.26018i −0.286991 0.526709i
\(191\) −0.419509 + 2.91775i −0.0303546 + 0.211121i −0.999354 0.0359427i \(-0.988557\pi\)
0.968999 + 0.247064i \(0.0794657\pi\)
\(192\) −0.880099 2.99734i −0.0635157 0.216315i
\(193\) −1.73962 + 2.70690i −0.125221 + 0.194847i −0.898204 0.439580i \(-0.855127\pi\)
0.772983 + 0.634427i \(0.218764\pi\)
\(194\) −0.00985476 0.0685413i −0.000707530 0.00492098i
\(195\) 0.939450 + 13.3030i 0.0672754 + 0.952649i
\(196\) 3.23364 + 7.08067i 0.230974 + 0.505762i
\(197\) −14.4094 + 2.07176i −1.02663 + 0.147607i −0.634997 0.772514i \(-0.718999\pi\)
−0.391633 + 0.920122i \(0.628090\pi\)
\(198\) −11.8563 + 18.4487i −0.842590 + 1.31110i
\(199\) 8.08869 2.37505i 0.573392 0.168363i 0.0178343 0.999841i \(-0.494323\pi\)
0.555558 + 0.831478i \(0.312505\pi\)
\(200\) 3.26752 + 3.78462i 0.231048 + 0.267613i
\(201\) 22.9999 26.5434i 1.62229 1.87222i
\(202\) −3.12907 4.86892i −0.220160 0.342576i
\(203\) 2.19645 1.90324i 0.154161 0.133581i
\(204\) −18.0556 5.30160i −1.26414 0.371186i
\(205\) 6.88082 6.86848i 0.480578 0.479716i
\(206\) 8.91297 0.620996
\(207\) 31.6625 + 6.93573i 2.20070 + 0.482067i
\(208\) 1.90920i 0.132379i
\(209\) 4.98399 10.9134i 0.344750 0.754896i
\(210\) 16.1148 21.4867i 1.11203 1.48272i
\(211\) −17.3168 19.9846i −1.19214 1.37580i −0.909041 0.416708i \(-0.863184\pi\)
−0.283096 0.959092i \(-0.591362\pi\)
\(212\) 5.80248 + 9.02884i 0.398516 + 0.620103i
\(213\) 13.4972 + 11.6954i 0.924811 + 0.801354i
\(214\) −0.666807 + 4.63774i −0.0455820 + 0.317030i
\(215\) 0.357800 4.94038i 0.0244018 0.336931i
\(216\) 9.87761 + 6.34796i 0.672086 + 0.431924i
\(217\) 36.8644 5.30030i 2.50252 0.359808i
\(218\) −6.31950 + 2.88602i −0.428010 + 0.195466i
\(219\) −2.36840 5.18607i −0.160042 0.350442i
\(220\) −1.54862 + 7.08828i −0.104408 + 0.477891i
\(221\) −9.67504 6.21777i −0.650813 0.418252i
\(222\) −1.04148 3.54696i −0.0698996 0.238056i
\(223\) −21.2689 3.05801i −1.42427 0.204779i −0.613293 0.789856i \(-0.710155\pi\)
−0.810978 + 0.585076i \(0.801065\pi\)
\(224\) −2.51795 + 2.90587i −0.168237 + 0.194156i
\(225\) −33.4405 4.86931i −2.22937 0.324621i
\(226\) −6.73702 7.77494i −0.448140 0.517181i
\(227\) −7.74379 + 26.3729i −0.513973 + 1.75043i 0.136235 + 0.990676i \(0.456500\pi\)
−0.650209 + 0.759756i \(0.725319\pi\)
\(228\) −10.5069 4.79834i −0.695836 0.317778i
\(229\) −15.3959 −1.01739 −0.508694 0.860947i \(-0.669872\pi\)
−0.508694 + 0.860947i \(0.669872\pi\)
\(230\) 10.6182 1.50128i 0.700143 0.0989913i
\(231\) 38.9738 2.56429
\(232\) 0.687563 + 0.313999i 0.0451407 + 0.0206151i
\(233\) 1.56435 5.32769i 0.102484 0.349028i −0.892247 0.451548i \(-0.850872\pi\)
0.994731 + 0.102519i \(0.0326903\pi\)
\(234\) 8.45004 + 9.75187i 0.552397 + 0.637500i
\(235\) 1.63724 + 7.55892i 0.106802 + 0.493089i
\(236\) 5.71454 6.59493i 0.371985 0.429293i
\(237\) 20.1195 + 2.89274i 1.30690 + 0.187904i
\(238\) 6.52544 + 22.2236i 0.422981 + 1.44054i
\(239\) 1.48959 + 0.957300i 0.0963535 + 0.0619226i 0.587930 0.808912i \(-0.299943\pi\)
−0.491577 + 0.870834i \(0.663579\pi\)
\(240\) 6.82424 + 1.49094i 0.440503 + 0.0962397i
\(241\) 8.01633 + 17.5533i 0.516377 + 1.13071i 0.970793 + 0.239918i \(0.0771206\pi\)
−0.454416 + 0.890789i \(0.650152\pi\)
\(242\) 0.429001 0.195918i 0.0275772 0.0125941i
\(243\) −15.8542 + 2.27950i −1.01705 + 0.146230i
\(244\) 2.88952 + 1.85698i 0.184982 + 0.118881i
\(245\) −17.3603 1.25730i −1.10911 0.0803258i
\(246\) 1.93297 13.4441i 0.123242 0.857166i
\(247\) −5.33510 4.62289i −0.339464 0.294148i
\(248\) 5.23675 + 8.14854i 0.332534 + 0.517433i
\(249\) 1.36762 + 1.57832i 0.0866696 + 0.100022i
\(250\) −10.9312 + 2.34713i −0.691349 + 0.148445i
\(251\) 11.8872 26.0293i 0.750313 1.64296i −0.0154887 0.999880i \(-0.504930\pi\)
0.765802 0.643077i \(-0.222342\pi\)
\(252\) 25.9870i 1.63703i
\(253\) 10.9875 + 11.0194i 0.690781 + 0.692782i
\(254\) 15.0879 0.946702
\(255\) 29.7803 29.7269i 1.86491 1.86157i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −11.7088 + 10.1457i −0.730375 + 0.632873i −0.938520 0.345225i \(-0.887803\pi\)
0.208146 + 0.978098i \(0.433257\pi\)
\(258\) −3.74123 5.82147i −0.232919 0.362429i
\(259\) −2.97965 + 3.43870i −0.185147 + 0.213671i
\(260\) 3.74506 + 2.04932i 0.232259 + 0.127094i
\(261\) −4.90171 + 1.43927i −0.303408 + 0.0890887i
\(262\) 3.32786 5.17826i 0.205596 0.319914i
\(263\) 9.16027 1.31705i 0.564846 0.0812126i 0.146024 0.989281i \(-0.453352\pi\)
0.418822 + 0.908068i \(0.362443\pi\)
\(264\) 4.21073 + 9.22022i 0.259153 + 0.567465i
\(265\) −23.9392 + 1.69057i −1.47057 + 0.103851i
\(266\) 2.02331 + 14.0724i 0.124057 + 0.862835i
\(267\) 4.08172 6.35129i 0.249797 0.388692i
\(268\) −3.16753 10.7876i −0.193488 0.658958i
\(269\) −4.15132 + 28.8730i −0.253110 + 1.76042i 0.326188 + 0.945305i \(0.394236\pi\)
−0.579298 + 0.815116i \(0.696673\pi\)
\(270\) −23.0546 + 12.5619i −1.40306 + 0.764495i
\(271\) 23.6738 15.2142i 1.43808 0.924198i 0.438403 0.898779i \(-0.355544\pi\)
0.999677 0.0254189i \(-0.00809196\pi\)
\(272\) −4.55253 + 3.94479i −0.276038 + 0.239188i
\(273\) 6.46071 22.0031i 0.391020 1.33169i
\(274\) 4.43530 9.71196i 0.267947 0.586721i
\(275\) −12.2420 10.6463i −0.738220 0.641995i
\(276\) 10.6089 10.5783i 0.638581 0.636737i
\(277\) 19.1742i 1.15207i −0.817426 0.576033i \(-0.804600\pi\)
0.817426 0.576033i \(-0.195400\pi\)
\(278\) −5.19838 2.37402i −0.311778 0.142384i
\(279\) −62.8137 18.4438i −3.76056 1.10420i
\(280\) −2.99736 8.05831i −0.179126 0.481576i
\(281\) −16.7050 + 10.7357i −0.996539 + 0.640437i −0.933876 0.357598i \(-0.883596\pi\)
−0.0626633 + 0.998035i \(0.519959\pi\)
\(282\) 8.16587 + 7.07577i 0.486271 + 0.421356i
\(283\) −3.77090 0.542174i −0.224157 0.0322289i 0.0293212 0.999570i \(-0.490665\pi\)
−0.253478 + 0.967341i \(0.581575\pi\)
\(284\) 5.48545 1.61067i 0.325502 0.0955759i
\(285\) 20.6904 15.4597i 1.22559 0.915752i
\(286\) 0.881620 + 6.13181i 0.0521313 + 0.362581i
\(287\) −15.2070 + 6.94482i −0.897642 + 0.409940i
\(288\) 6.14787 2.80764i 0.362267 0.165442i
\(289\) 2.74481 + 19.0906i 0.161460 + 1.12298i
\(290\) −1.35396 + 1.01167i −0.0795075 + 0.0594073i
\(291\) 0.207554 0.0609435i 0.0121671 0.00357257i
\(292\) −1.80649 0.259734i −0.105717 0.0151998i
\(293\) 15.0892 + 13.0748i 0.881518 + 0.763840i 0.972717 0.231993i \(-0.0745247\pi\)
−0.0911996 + 0.995833i \(0.529070\pi\)
\(294\) −20.4565 + 13.1466i −1.19304 + 0.766723i
\(295\) 6.80257 + 18.2885i 0.396061 + 1.06480i
\(296\) −1.13543 0.333393i −0.0659956 0.0193781i
\(297\) −34.6555 15.8266i −2.01091 0.918353i
\(298\) 13.3203i 0.771627i
\(299\) 8.04253 4.37647i 0.465111 0.253098i
\(300\) −10.2497 + 11.7860i −0.591767 + 0.680464i
\(301\) −3.53827 + 7.74773i −0.203942 + 0.446572i
\(302\) −0.895865 + 3.05104i −0.0515513 + 0.175567i
\(303\) 13.6640 11.8399i 0.784977 0.680187i
\(304\) −3.11058 + 1.99905i −0.178404 + 0.114653i
\(305\) −6.74422 + 3.67477i −0.386173 + 0.210417i
\(306\) 5.79408 40.2987i 0.331225 2.30372i
\(307\) 1.93147 + 6.57798i 0.110235 + 0.375425i 0.996069 0.0885757i \(-0.0282315\pi\)
−0.885835 + 0.464001i \(0.846413\pi\)
\(308\) 6.74508 10.4956i 0.384337 0.598040i
\(309\) 3.96248 + 27.5597i 0.225418 + 1.56781i
\(310\) −21.6052 + 1.52574i −1.22709 + 0.0866564i
\(311\) 13.7969 + 30.2110i 0.782351 + 1.71311i 0.697351 + 0.716730i \(0.254362\pi\)
0.0850003 + 0.996381i \(0.472911\pi\)
\(312\) 5.90340 0.848781i 0.334214 0.0480527i
\(313\) −14.3478 + 22.3257i −0.810988 + 1.26192i 0.150920 + 0.988546i \(0.451776\pi\)
−0.961907 + 0.273375i \(0.911860\pi\)
\(314\) −6.69025 + 1.96443i −0.377552 + 0.110859i
\(315\) 50.9758 + 27.8943i 2.87216 + 1.57167i
\(316\) 4.26102 4.91748i 0.239701 0.276630i
\(317\) −6.35336 9.88602i −0.356840 0.555254i 0.615703 0.787979i \(-0.288872\pi\)
−0.972543 + 0.232725i \(0.925236\pi\)
\(318\) −25.3383 + 21.9558i −1.42090 + 1.23122i
\(319\) −2.35326 0.690978i −0.131757 0.0386874i
\(320\) 1.58256 1.57972i 0.0884676 0.0883090i
\(321\) −14.6367 −0.816943
\(322\) −18.0129 3.94576i −1.00382 0.219889i
\(323\) 22.2735i 1.23933i
\(324\) −6.81417 + 14.9209i −0.378565 + 0.828941i
\(325\) −8.03984 + 5.14652i −0.445970 + 0.285478i
\(326\) 1.22037 + 1.40838i 0.0675899 + 0.0780029i
\(327\) −11.7333 18.2574i −0.648853 1.00963i
\(328\) −3.28593 2.84728i −0.181435 0.157215i
\(329\) 1.89268 13.1639i 0.104347 0.725749i
\(330\) −22.6060 1.63721i −1.24442 0.0901255i
\(331\) −18.1513 11.6651i −0.997685 0.641173i −0.0635072 0.997981i \(-0.520229\pi\)
−0.934178 + 0.356808i \(0.883865\pi\)
\(332\) 0.661729 0.0951422i 0.0363171 0.00522161i
\(333\) 7.27519 3.32247i 0.398678 0.182070i
\(334\) −5.75684 12.6057i −0.315000 0.689754i
\(335\) 24.5608 + 5.36598i 1.34190 + 0.293175i
\(336\) −10.1046 6.49383i −0.551251 0.354268i
\(337\) −3.07503 10.4726i −0.167508 0.570479i −0.999868 0.0162442i \(-0.994829\pi\)
0.832360 0.554235i \(-0.186989\pi\)
\(338\) −9.25975 1.33135i −0.503664 0.0724159i
\(339\) 21.0457 24.2880i 1.14304 1.31914i
\(340\) −2.85139 13.1645i −0.154638 0.713945i
\(341\) −20.5818 23.7526i −1.11457 1.28628i
\(342\) 7.04061 23.9781i 0.380713 1.29659i
\(343\) 2.74245 + 1.25244i 0.148079 + 0.0676252i
\(344\) −2.21519 −0.119435
\(345\) 9.36266 + 32.1649i 0.504069 + 1.73170i
\(346\) −1.14675 −0.0616495
\(347\) 1.98162 + 0.904975i 0.106379 + 0.0485816i 0.467894 0.883785i \(-0.345013\pi\)
−0.361515 + 0.932366i \(0.617740\pi\)
\(348\) −0.665240 + 2.26560i −0.0356606 + 0.121449i
\(349\) −9.66971 11.1594i −0.517607 0.597351i 0.435423 0.900226i \(-0.356599\pi\)
−0.953030 + 0.302875i \(0.902053\pi\)
\(350\) 19.0244 + 2.77017i 1.01690 + 0.148072i
\(351\) −14.6800 + 16.9416i −0.783558 + 0.904274i
\(352\) 3.21172 + 0.461776i 0.171185 + 0.0246127i
\(353\) 2.56821 + 8.74651i 0.136692 + 0.465530i 0.999177 0.0405519i \(-0.0129116\pi\)
−0.862486 + 0.506082i \(0.831093\pi\)
\(354\) 22.9326 + 14.7379i 1.21885 + 0.783310i
\(355\) −2.72857 + 12.4891i −0.144818 + 0.662851i
\(356\) −1.00397 2.19840i −0.0532105 0.116515i
\(357\) −65.8162 + 30.0573i −3.48336 + 1.59080i
\(358\) 20.2147 2.90643i 1.06838 0.153610i
\(359\) −12.6962 8.15934i −0.670079 0.430634i 0.160875 0.986975i \(-0.448568\pi\)
−0.830954 + 0.556341i \(0.812205\pi\)
\(360\) −1.09166 + 15.0733i −0.0575357 + 0.794432i
\(361\) 0.758271 5.27389i 0.0399090 0.277573i
\(362\) 11.6030 + 10.0540i 0.609838 + 0.528428i
\(363\) 0.796519 + 1.23941i 0.0418064 + 0.0650520i
\(364\) −4.80726 5.54787i −0.251969 0.290787i
\(365\) 2.44857 3.26479i 0.128164 0.170887i
\(366\) −4.45734 + 9.76020i −0.232989 + 0.510174i
\(367\) 31.1467i 1.62585i 0.582372 + 0.812923i \(0.302125\pi\)
−0.582372 + 0.812923i \(0.697875\pi\)
\(368\) −1.01265 4.68770i −0.0527880 0.244363i
\(369\) 29.3860 1.52977
\(370\) 1.87275 1.86939i 0.0973594 0.0971848i
\(371\) 39.5954 + 11.6263i 2.05569 + 0.603605i
\(372\) −22.8679 + 19.8151i −1.18564 + 1.02737i
\(373\) 4.73181 + 7.36284i 0.245004 + 0.381234i 0.941875 0.335963i \(-0.109062\pi\)
−0.696871 + 0.717196i \(0.745425\pi\)
\(374\) 12.7998 14.7718i 0.661864 0.763832i
\(375\) −12.1172 32.7567i −0.625732 1.69155i
\(376\) 3.31873 0.974467i 0.171150 0.0502543i
\(377\) −0.780201 + 1.21402i −0.0401824 + 0.0625250i
\(378\) 44.6868 6.42500i 2.29844 0.330466i
\(379\) −6.50874 14.2521i −0.334331 0.732084i 0.665567 0.746338i \(-0.268190\pi\)
−0.999898 + 0.0142544i \(0.995463\pi\)
\(380\) −0.582428 8.24743i −0.0298779 0.423084i
\(381\) 6.70772 + 46.6532i 0.343647 + 2.39012i
\(382\) −1.59368 + 2.47981i −0.0815396 + 0.126878i
\(383\) −2.30753 7.85873i −0.117909 0.401563i 0.879296 0.476276i \(-0.158014\pi\)
−0.997205 + 0.0747139i \(0.976196\pi\)
\(384\) 0.444575 3.09209i 0.0226871 0.157792i
\(385\) 13.3478 + 24.4969i 0.680267 + 1.24848i
\(386\) −2.70690 + 1.73962i −0.137778 + 0.0885443i
\(387\) 11.3148 9.80436i 0.575165 0.498384i
\(388\) 0.0195089 0.0664412i 0.000990414 0.00337304i
\(389\) 7.83030 17.1460i 0.397012 0.869335i −0.600553 0.799585i \(-0.705053\pi\)
0.997565 0.0697495i \(-0.0222200\pi\)
\(390\) −4.67172 + 12.4911i −0.236562 + 0.632512i
\(391\) −27.0533 10.1349i −1.36814 0.512546i
\(392\) 7.78411i 0.393157i
\(393\) 17.4911 + 7.98792i 0.882309 + 0.402937i
\(394\) −13.9679 4.10135i −0.703694 0.206623i
\(395\) 5.07231 + 13.6368i 0.255216 + 0.686140i
\(396\) −18.4487 + 11.8563i −0.927084 + 0.595801i
\(397\) 18.8841 + 16.3632i 0.947768 + 0.821246i 0.984013 0.178097i \(-0.0569942\pi\)
−0.0362449 + 0.999343i \(0.511540\pi\)
\(398\) 8.34437 + 1.19974i 0.418265 + 0.0601375i
\(399\) −42.6136 + 12.5125i −2.13335 + 0.626407i
\(400\) 1.40005 + 4.79999i 0.0700024 + 0.239999i
\(401\) 0.739731 + 5.14495i 0.0369404 + 0.256926i 0.999920 0.0126480i \(-0.00402610\pi\)
−0.962980 + 0.269574i \(0.913117\pi\)
\(402\) 31.9480 14.5902i 1.59342 0.727691i
\(403\) −16.8217 + 7.68221i −0.837948 + 0.382678i
\(404\) −0.823675 5.72879i −0.0409794 0.285018i
\(405\) −21.9544 29.3826i −1.09093 1.46004i
\(406\) 2.78860 0.818807i 0.138396 0.0406367i
\(407\) 3.80064 + 0.546450i 0.188391 + 0.0270865i
\(408\) −14.2216 12.3231i −0.704073 0.610082i
\(409\) −32.6065 + 20.9549i −1.61229 + 1.03615i −0.651583 + 0.758578i \(0.725895\pi\)
−0.960704 + 0.277576i \(0.910469\pi\)
\(410\) 9.11229 3.38939i 0.450024 0.167390i
\(411\) 32.0020 + 9.39665i 1.57854 + 0.463502i
\(412\) 8.10752 + 3.70258i 0.399429 + 0.182413i
\(413\) 33.5529i 1.65103i
\(414\) 25.9201 + 19.4621i 1.27390 + 0.956508i
\(415\) −0.523666 + 1.40016i −0.0257058 + 0.0687313i
\(416\) 0.793109 1.73667i 0.0388854 0.0851471i
\(417\) 5.02961 17.1293i 0.246301 0.838824i
\(418\) 9.06719 7.85676i 0.443491 0.384287i
\(419\) 22.4408 14.4218i 1.09630 0.704552i 0.138038 0.990427i \(-0.455920\pi\)
0.958267 + 0.285875i \(0.0922841\pi\)
\(420\) 23.5844 12.8506i 1.15080 0.627046i
\(421\) 3.81048 26.5025i 0.185712 1.29165i −0.657247 0.753675i \(-0.728279\pi\)
0.842959 0.537978i \(-0.180812\pi\)
\(422\) −7.44998 25.3723i −0.362660 1.23511i
\(423\) −12.6386 + 19.6660i −0.614509 + 0.956194i
\(424\) 1.52741 + 10.6234i 0.0741775 + 0.515916i
\(425\) 28.8840 + 8.53745i 1.40108 + 0.414127i
\(426\) 7.41903 + 16.2454i 0.359453 + 0.787093i
\(427\) 13.0723 1.87952i 0.632614 0.0909562i
\(428\) −2.53314 + 3.94164i −0.122444 + 0.190526i
\(429\) −18.5681 + 5.45209i −0.896477 + 0.263229i
\(430\) 2.37777 4.34529i 0.114666 0.209548i
\(431\) −22.7684 + 26.2762i −1.09672 + 1.26568i −0.135233 + 0.990814i \(0.543178\pi\)
−0.961483 + 0.274864i \(0.911367\pi\)
\(432\) 6.34796 + 9.87761i 0.305416 + 0.475237i
\(433\) −8.41404 + 7.29081i −0.404353 + 0.350374i −0.833170 0.553018i \(-0.813476\pi\)
0.428816 + 0.903392i \(0.358931\pi\)
\(434\) 35.7349 + 10.4927i 1.71533 + 0.503666i
\(435\) −3.73011 3.73681i −0.178845 0.179166i
\(436\) −6.94731 −0.332716
\(437\) −15.5514 8.52093i −0.743926 0.407612i
\(438\) 5.70129i 0.272418i
\(439\) −3.00750 + 6.58552i −0.143540 + 0.314310i −0.967724 0.252014i \(-0.918907\pi\)
0.824183 + 0.566323i \(0.191635\pi\)
\(440\) −4.35325 + 5.80440i −0.207533 + 0.276714i
\(441\) −34.4522 39.7600i −1.64058 1.89333i
\(442\) −6.21777 9.67504i −0.295749 0.460195i
\(443\) −15.4133 13.3557i −0.732306 0.634547i 0.206717 0.978401i \(-0.433722\pi\)
−0.939023 + 0.343854i \(0.888267\pi\)
\(444\) 0.526095 3.65907i 0.0249674 0.173652i
\(445\) 5.39000 + 0.390364i 0.255511 + 0.0185050i
\(446\) −18.0765 11.6171i −0.855949 0.550085i
\(447\) −41.1877 + 5.92189i −1.94811 + 0.280096i
\(448\) −3.49754 + 1.59728i −0.165243 + 0.0754642i
\(449\) −7.05849 15.4559i −0.333111 0.729411i 0.666764 0.745269i \(-0.267679\pi\)
−0.999874 + 0.0158586i \(0.994952\pi\)
\(450\) −28.3958 18.3210i −1.33859 0.863659i
\(451\) 11.8683 + 7.62730i 0.558857 + 0.359155i
\(452\) −2.89839 9.87099i −0.136329 0.464292i
\(453\) −9.83235 1.41368i −0.461964 0.0664204i
\(454\) −17.9997 + 20.7728i −0.844768 + 0.974914i
\(455\) 16.0427 3.47480i 0.752094 0.162901i
\(456\) −7.56411 8.72944i −0.354222 0.408794i
\(457\) −2.99295 + 10.1930i −0.140004 + 0.476810i −0.999405 0.0344921i \(-0.989019\pi\)
0.859401 + 0.511302i \(0.170837\pi\)
\(458\) −14.0046 6.39568i −0.654392 0.298851i
\(459\) 70.7294 3.30137
\(460\) 10.2823 + 3.04535i 0.479415 + 0.141990i
\(461\) 23.8612 1.11133 0.555663 0.831407i \(-0.312464\pi\)
0.555663 + 0.831407i \(0.312464\pi\)
\(462\) 35.4518 + 16.1903i 1.64937 + 0.753241i
\(463\) 2.87654 9.79658i 0.133684 0.455286i −0.865255 0.501331i \(-0.832844\pi\)
0.998939 + 0.0460456i \(0.0146619\pi\)
\(464\) 0.494989 + 0.571248i 0.0229793 + 0.0265195i
\(465\) −14.3228 66.1267i −0.664206 3.06655i
\(466\) 3.63618 4.19638i 0.168443 0.194393i
\(467\) −6.77403 0.973958i −0.313465 0.0450694i −0.0162129 0.999869i \(-0.505161\pi\)
−0.297252 + 0.954799i \(0.596070\pi\)
\(468\) 3.63536 + 12.3809i 0.168044 + 0.572307i
\(469\) −36.3670 23.3717i −1.67927 1.07920i
\(470\) −1.65080 + 7.55597i −0.0761459 + 0.348531i
\(471\) −9.04851 19.8135i −0.416933 0.912957i
\(472\) 7.93776 3.62505i 0.365365 0.166857i
\(473\) 7.11457 1.02292i 0.327128 0.0470340i
\(474\) 17.0996 + 10.9893i 0.785411 + 0.504753i
\(475\) 16.8032 + 7.71026i 0.770985 + 0.353771i
\(476\) −3.29627 + 22.9261i −0.151084 + 1.05081i
\(477\) −54.8204 47.5022i −2.51005 2.17497i
\(478\) 0.957300 + 1.48959i 0.0437859 + 0.0681322i
\(479\) 19.3392 + 22.3186i 0.883629 + 1.01976i 0.999648 + 0.0265151i \(0.00844102\pi\)
−0.116020 + 0.993247i \(0.537014\pi\)
\(480\) 5.58819 + 4.19110i 0.255065 + 0.191297i
\(481\) 0.938539 2.05511i 0.0427937 0.0937051i
\(482\) 19.2971i 0.878961i
\(483\) 4.19253 57.4517i 0.190767 2.61414i
\(484\) 0.471620 0.0214373
\(485\) 0.109389 + 0.109586i 0.00496712 + 0.00497605i
\(486\) −15.3685 4.51259i −0.697127 0.204695i
\(487\) 3.73659 3.23778i 0.169321 0.146718i −0.566078 0.824352i \(-0.691540\pi\)
0.735399 + 0.677634i \(0.236995\pi\)
\(488\) 1.85698 + 2.88952i 0.0840616 + 0.130802i
\(489\) −3.81229 + 4.39961i −0.172398 + 0.198957i
\(490\) −15.2692 8.35542i −0.689792 0.377459i
\(491\) −30.5115 + 8.95899i −1.37696 + 0.404313i −0.884712 0.466139i \(-0.845645\pi\)
−0.492253 + 0.870452i \(0.663827\pi\)
\(492\) 7.34318 11.4262i 0.331056 0.515134i
\(493\) 4.50691 0.647995i 0.202981 0.0291842i
\(494\) −2.93256 6.42141i −0.131942 0.288913i
\(495\) −3.45436 48.9153i −0.155262 2.19858i
\(496\) 1.37849 + 9.58760i 0.0618960 + 0.430496i
\(497\) 11.8844 18.4925i 0.533088 0.829501i
\(498\) 0.588376 + 2.00382i 0.0263657 + 0.0897935i
\(499\) −3.83858 + 26.6979i −0.171838 + 1.19516i 0.703159 + 0.711033i \(0.251772\pi\)
−0.874997 + 0.484128i \(0.839137\pi\)
\(500\) −10.9184 2.40596i −0.488285 0.107598i
\(501\) 36.4186 23.4048i 1.62706 1.04565i
\(502\) 21.6259 18.7390i 0.965213 0.836362i
\(503\) −8.77970 + 29.9009i −0.391467 + 1.33322i 0.494383 + 0.869244i \(0.335394\pi\)
−0.885850 + 0.463971i \(0.846424\pi\)
\(504\) 10.7954 23.6386i 0.480866 1.05295i
\(505\) 12.1216 + 4.53354i 0.539406 + 0.201740i
\(506\) 5.41701 + 14.5880i 0.240816 + 0.648514i
\(507\) 29.2238i 1.29788i
\(508\) 13.7245 + 6.26776i 0.608925 + 0.278087i
\(509\) 24.3714 + 7.15608i 1.08024 + 0.317188i 0.772976 0.634436i \(-0.218767\pi\)
0.307267 + 0.951623i \(0.400586\pi\)
\(510\) 39.4381 14.6693i 1.74635 0.649570i
\(511\) −5.90341 + 3.79389i −0.261151 + 0.167832i
\(512\) −0.755750 0.654861i −0.0333997 0.0289410i
\(513\) 42.9730 + 6.17859i 1.89731 + 0.272791i
\(514\) −14.8654 + 4.36487i −0.655684 + 0.192526i
\(515\) −15.9655 + 11.9293i −0.703524 + 0.525667i
\(516\) −0.984818 6.84956i −0.0433542 0.301535i
\(517\) −10.2088 + 4.66222i −0.448984 + 0.205044i
\(518\) −4.13888 + 1.89016i −0.181852 + 0.0830490i
\(519\) −0.509814 3.54584i −0.0223784 0.155645i
\(520\) 2.55530 + 3.41988i 0.112057 + 0.149972i
\(521\) 11.6399 3.41778i 0.509953 0.149736i −0.0166260 0.999862i \(-0.505292\pi\)
0.526579 + 0.850126i \(0.323474\pi\)
\(522\) −5.05665 0.727036i −0.221323 0.0318215i
\(523\) −24.9015 21.5773i −1.08887 0.943509i −0.0902420 0.995920i \(-0.528764\pi\)
−0.998626 + 0.0524108i \(0.983309\pi\)
\(524\) 5.17826 3.32786i 0.226213 0.145378i
\(525\) −0.107810 + 60.0567i −0.00470520 + 2.62109i
\(526\) 8.87959 + 2.60728i 0.387169 + 0.113683i
\(527\) 53.0755 + 24.2388i 2.31200 + 1.05586i
\(528\) 10.1362i 0.441122i
\(529\) 17.4257 15.0115i 0.757640 0.652672i
\(530\) −22.4782 8.40691i −0.976389 0.365173i
\(531\) −24.5004 + 53.6484i −1.06323 + 2.32814i
\(532\) −4.00543 + 13.6412i −0.173657 + 0.591422i
\(533\) 6.27350 5.43602i 0.271735 0.235460i
\(534\) 6.35129 4.08172i 0.274847 0.176633i
\(535\) −5.01281 9.19990i −0.216723 0.397746i
\(536\) 1.60005 11.1286i 0.0691116 0.480682i
\(537\) 17.9739 + 61.2133i 0.775629 + 2.64155i
\(538\) −15.7705 + 24.5393i −0.679913 + 1.05797i
\(539\) −3.59451 25.0004i −0.154827 1.07684i
\(540\) −26.1897 + 1.84950i −1.12702 + 0.0795896i
\(541\) 2.37157 + 5.19301i 0.101962 + 0.223265i 0.953737 0.300642i \(-0.0972011\pi\)
−0.851775 + 0.523907i \(0.824474\pi\)
\(542\) 27.8546 4.00489i 1.19646 0.172025i
\(543\) −25.9295 + 40.3471i −1.11274 + 1.73146i
\(544\) −5.77985 + 1.69712i −0.247809 + 0.0727633i
\(545\) 7.45720 13.6278i 0.319432 0.583749i
\(546\) 15.0173 17.3309i 0.642681 0.741694i
\(547\) 19.4025 + 30.1909i 0.829593 + 1.29087i 0.954352 + 0.298685i \(0.0965479\pi\)
−0.124759 + 0.992187i \(0.539816\pi\)
\(548\) 8.06899 6.99182i 0.344690 0.298676i
\(549\) −22.2741 6.54026i −0.950634 0.279131i
\(550\) −6.71308 14.7697i −0.286247 0.629782i
\(551\) 2.79486 0.119065
\(552\) 14.0446 5.21523i 0.597777 0.221975i
\(553\) 25.0186i 1.06390i
\(554\) 7.96526 17.4415i 0.338411 0.741017i
\(555\) 6.61288 + 4.95961i 0.280701 + 0.210524i
\(556\) −3.74241 4.31897i −0.158714 0.183165i
\(557\) 3.87063 + 6.02282i 0.164004 + 0.255195i 0.913523 0.406788i \(-0.133351\pi\)
−0.749518 + 0.661983i \(0.769715\pi\)
\(558\) −49.4755 42.8708i −2.09446 1.81486i
\(559\) 0.601883 4.18619i 0.0254569 0.177057i
\(560\) 0.621050 8.57525i 0.0262442 0.362370i
\(561\) 51.3662 + 33.0110i 2.16868 + 1.39373i
\(562\) −19.6552 + 2.82599i −0.829104 + 0.119207i
\(563\) 20.1320 9.19398i 0.848463 0.387480i 0.0567611 0.998388i \(-0.481923\pi\)
0.791702 + 0.610908i \(0.209195\pi\)
\(564\) 4.48856 + 9.82857i 0.189002 + 0.413858i
\(565\) 22.4739 + 4.91003i 0.945485 + 0.206567i
\(566\) −3.20491 2.05967i −0.134712 0.0865743i
\(567\) 17.7691 + 60.5160i 0.746232 + 2.54143i
\(568\) 5.65884 + 0.813618i 0.237440 + 0.0341387i
\(569\) −2.95812 + 3.41386i −0.124011 + 0.143116i −0.814360 0.580360i \(-0.802912\pi\)
0.690349 + 0.723477i \(0.257457\pi\)
\(570\) 25.2428 5.46752i 1.05731 0.229009i
\(571\) 13.2169 + 15.2532i 0.553112 + 0.638325i 0.961605 0.274436i \(-0.0884912\pi\)
−0.408494 + 0.912761i \(0.633946\pi\)
\(572\) −1.74529 + 5.94392i −0.0729744 + 0.248528i
\(573\) −8.37629 3.82532i −0.349924 0.159805i
\(574\) −16.7178 −0.697787
\(575\) −17.0107 + 16.9008i −0.709395 + 0.704811i
\(576\) 6.75864 0.281610
\(577\) −36.5015 16.6697i −1.51958 0.693968i −0.531377 0.847135i \(-0.678325\pi\)
−0.988200 + 0.153168i \(0.951052\pi\)
\(578\) −5.43375 + 18.5057i −0.226014 + 0.769734i
\(579\) −6.58247 7.59658i −0.273558 0.315703i
\(580\) −1.65187 + 0.357790i −0.0685902 + 0.0148564i
\(581\) 1.68333 1.94267i 0.0698363 0.0805954i
\(582\) 0.214115 + 0.0307851i 0.00887535 + 0.00127608i
\(583\) −9.81122 33.4139i −0.406339 1.38386i
\(584\) −1.53534 0.986705i −0.0635329 0.0408301i
\(585\) −28.1884 6.15851i −1.16545 0.254623i
\(586\) 8.29410 + 18.1615i 0.342626 + 0.750246i
\(587\) 16.1922 7.39472i 0.668323 0.305213i −0.0522074 0.998636i \(-0.516626\pi\)
0.720530 + 0.693423i \(0.243898\pi\)
\(588\) −24.0691 + 3.46062i −0.992594 + 0.142713i
\(589\) 30.1296 + 19.3631i 1.24147 + 0.797845i
\(590\) −1.40949 + 19.4617i −0.0580277 + 0.801226i
\(591\) 6.47195 45.0134i 0.266220 1.85160i
\(592\) −0.894329 0.774940i −0.0367567 0.0318499i
\(593\) −24.3745 37.9275i −1.00094 1.55750i −0.818683 0.574245i \(-0.805296\pi\)
−0.182259 0.983251i \(-0.558341\pi\)
\(594\) −24.9491 28.7928i −1.02367 1.18138i
\(595\) −41.4333 31.0746i −1.69860 1.27394i
\(596\) −5.53347 + 12.1166i −0.226660 + 0.496316i
\(597\) 26.3349i 1.07781i
\(598\) 9.13379 0.639989i 0.373509 0.0261711i
\(599\) 2.85961 0.116841 0.0584203 0.998292i \(-0.481394\pi\)
0.0584203 + 0.998292i \(0.481394\pi\)
\(600\) −14.2195 + 6.46302i −0.580510 + 0.263852i
\(601\) −43.2879 12.7105i −1.76575 0.518471i −0.772557 0.634945i \(-0.781023\pi\)
−0.993194 + 0.116473i \(0.962841\pi\)
\(602\) −6.43705 + 5.57773i −0.262354 + 0.227331i
\(603\) 41.0820 + 63.9248i 1.67299 + 2.60322i
\(604\) −2.08235 + 2.40317i −0.0847298 + 0.0977834i
\(605\) −0.506235 + 0.925125i −0.0205814 + 0.0376117i
\(606\) 17.3477 5.09375i 0.704703 0.206919i
\(607\) −9.62947 + 14.9837i −0.390848 + 0.608172i −0.979796 0.199999i \(-0.935906\pi\)
0.588948 + 0.808171i \(0.299542\pi\)
\(608\) −3.65991 + 0.526216i −0.148429 + 0.0213409i
\(609\) 3.77156 + 8.25857i 0.152831 + 0.334654i
\(610\) −7.66132 + 0.541037i −0.310198 + 0.0219059i
\(611\) 0.939790 + 6.53639i 0.0380198 + 0.264434i
\(612\) 22.0112 34.2500i 0.889749 1.38448i
\(613\) −1.39243 4.74217i −0.0562395 0.191534i 0.926582 0.376093i \(-0.122733\pi\)
−0.982822 + 0.184559i \(0.940914\pi\)
\(614\) −0.975666 + 6.78591i −0.0393747 + 0.273857i
\(615\) 14.5314 + 26.6691i 0.585962 + 1.07540i
\(616\) 10.4956 6.74508i 0.422878 0.271767i
\(617\) −0.788753 + 0.683459i −0.0317540 + 0.0275150i −0.670593 0.741825i \(-0.733960\pi\)
0.638839 + 0.769340i \(0.279415\pi\)
\(618\) −7.84430 + 26.7152i −0.315544 + 1.07464i
\(619\) 9.71640 21.2759i 0.390535 0.855152i −0.607608 0.794237i \(-0.707871\pi\)
0.998143 0.0609152i \(-0.0194019\pi\)
\(620\) −20.2866 7.58725i −0.814729 0.304711i
\(621\) −27.0582 + 49.3834i −1.08581 + 1.98169i
\(622\) 33.2124i 1.33169i
\(623\) −8.45286 3.86029i −0.338657 0.154659i
\(624\) 5.72252 + 1.68028i 0.229084 + 0.0672651i
\(625\) 16.4392 18.8348i 0.657570 0.753394i
\(626\) −22.3257 + 14.3478i −0.892313 + 0.573455i
\(627\) 28.3248 + 24.5436i 1.13118 + 0.980177i
\(628\) −6.90172 0.992317i −0.275408 0.0395978i
\(629\) −6.83969 + 2.00831i −0.272716 + 0.0800767i
\(630\) 34.7815 + 46.5497i 1.38573 + 1.85458i
\(631\) −0.100025 0.695690i −0.00398194 0.0276950i 0.987734 0.156148i \(-0.0499078\pi\)
−0.991716 + 0.128453i \(0.958999\pi\)
\(632\) 5.91876 2.70301i 0.235436 0.107520i
\(633\) 75.1413 34.3159i 2.98660 1.36393i
\(634\) −1.67242 11.6319i −0.0664202 0.461963i
\(635\) −27.0265 + 20.1940i −1.07252 + 0.801374i
\(636\) −32.1693 + 9.44576i −1.27560 + 0.374549i
\(637\) −14.7101 2.11500i −0.582836 0.0837992i
\(638\) −1.85355 1.60611i −0.0733829 0.0635867i
\(639\) −32.5055 + 20.8900i −1.28590 + 0.826396i
\(640\) 2.09578 0.779545i 0.0828431 0.0308142i
\(641\) 3.45639 + 1.01489i 0.136519 + 0.0400856i 0.349278 0.937019i \(-0.386427\pi\)
−0.212759 + 0.977105i \(0.568245\pi\)
\(642\) −13.3141 6.08032i −0.525464 0.239971i
\(643\) 13.8904i 0.547782i −0.961761 0.273891i \(-0.911689\pi\)
0.961761 0.273891i \(-0.0883108\pi\)
\(644\) −14.7460 11.0720i −0.581074 0.436299i
\(645\) 14.4931 + 5.42047i 0.570665 + 0.213431i
\(646\) −9.25276 + 20.2607i −0.364045 + 0.797147i
\(647\) 11.7705 40.0868i 0.462748 1.57597i −0.316077 0.948733i \(-0.602366\pi\)
0.778825 0.627241i \(-0.215816\pi\)
\(648\) −12.3968 + 10.7419i −0.486991 + 0.421980i
\(649\) −23.8199 + 15.3081i −0.935012 + 0.600896i
\(650\) −9.45124 + 1.34157i −0.370708 + 0.0526208i
\(651\) −16.5575 + 115.160i −0.648941 + 4.51348i
\(652\) 0.525024 + 1.78807i 0.0205615 + 0.0700261i
\(653\) 21.1846 32.9639i 0.829018 1.28998i −0.125581 0.992083i \(-0.540080\pi\)
0.954599 0.297894i \(-0.0962841\pi\)
\(654\) −3.08860 21.4817i −0.120774 0.840000i
\(655\) 0.969583 + 13.7297i 0.0378847 + 0.536464i
\(656\) −1.80619 3.95500i −0.0705198 0.154417i
\(657\) 12.2094 1.75545i 0.476334 0.0684865i
\(658\) 7.19013 11.1881i 0.280300 0.436156i
\(659\) 32.1479 9.43948i 1.25231 0.367710i 0.412680 0.910876i \(-0.364593\pi\)
0.839625 + 0.543166i \(0.182775\pi\)
\(660\) −19.8830 10.8801i −0.773947 0.423509i
\(661\) 10.5473 12.1723i 0.410244 0.473446i −0.512597 0.858630i \(-0.671316\pi\)
0.922840 + 0.385183i \(0.125862\pi\)
\(662\) −11.6651 18.1513i −0.453378 0.705470i
\(663\) 27.1518 23.5271i 1.05449 0.913719i
\(664\) 0.641453 + 0.188348i 0.0248932 + 0.00730930i
\(665\) −22.4591 22.4994i −0.870925 0.872490i
\(666\) 7.99795 0.309914
\(667\) −1.27173 + 3.39463i −0.0492414 + 0.131441i
\(668\) 13.8580i 0.536184i
\(669\) 27.8846 61.0588i 1.07808 2.36067i
\(670\) 20.1122 + 15.0840i 0.777003 + 0.582746i
\(671\) −7.29841 8.42282i −0.281752 0.325159i
\(672\) −6.49383 10.1046i −0.250505 0.389793i
\(673\) −38.4943 33.3555i −1.48385 1.28576i −0.866615 0.498977i \(-0.833709\pi\)
−0.617231 0.786782i \(-0.711745\pi\)
\(674\) 1.55333 10.8036i 0.0598320 0.416140i
\(675\) 24.4839 53.3585i 0.942385 2.05377i
\(676\) −7.86990 5.05768i −0.302688 0.194526i
\(677\) 24.9938 3.59357i 0.960591 0.138112i 0.355858 0.934540i \(-0.384189\pi\)
0.604733 + 0.796428i \(0.293280\pi\)
\(678\) 29.2334 13.3504i 1.12270 0.512721i
\(679\) −0.110605 0.242192i −0.00424464 0.00929446i
\(680\) 2.87502 13.1594i 0.110252 0.504639i
\(681\) −72.2334 46.4216i −2.76799 1.77888i
\(682\) −8.85464 30.1561i −0.339062 1.15474i
\(683\) 17.2638 + 2.48216i 0.660581 + 0.0949772i 0.464448 0.885600i \(-0.346253\pi\)
0.196132 + 0.980577i \(0.437162\pi\)
\(684\) 16.3652 18.8865i 0.625740 0.722143i
\(685\) 5.05386 + 23.3330i 0.193098 + 0.891508i
\(686\) 1.97434 + 2.27851i 0.0753808 + 0.0869940i
\(687\) 13.5499 46.1467i 0.516961 1.76061i
\(688\) −2.01501 0.920223i −0.0768215 0.0350832i
\(689\) −20.4907 −0.780632
\(690\) −4.84523 + 33.1477i −0.184455 + 1.26191i
\(691\) −43.5576 −1.65701 −0.828505 0.559981i \(-0.810808\pi\)
−0.828505 + 0.559981i \(0.810808\pi\)
\(692\) −1.04312 0.476376i −0.0396534 0.0181091i
\(693\) −23.7561 + 80.9057i −0.902418 + 3.07335i
\(694\) 1.42660 + 1.64639i 0.0541531 + 0.0624960i
\(695\) 12.4891 2.70510i 0.473739 0.102610i
\(696\) −1.54629 + 1.78451i −0.0586119 + 0.0676417i
\(697\) −25.9246 3.72740i −0.981966 0.141185i
\(698\) −4.16008 14.1679i −0.157461 0.536264i
\(699\) 14.5921 + 9.37778i 0.551925 + 0.354700i
\(700\) 16.1545 + 10.4229i 0.610581 + 0.393947i
\(701\) −16.9489 37.1130i −0.640153 1.40174i −0.899915 0.436066i \(-0.856371\pi\)
0.259762 0.965673i \(-0.416356\pi\)
\(702\) −20.3911 + 9.31232i −0.769614 + 0.351471i
\(703\) −4.33102 + 0.622707i −0.163348 + 0.0234858i
\(704\) 2.72965 + 1.75424i 0.102878 + 0.0661155i
\(705\) −24.0976 1.74524i −0.907568 0.0657294i
\(706\) −1.29731 + 9.02298i −0.0488248 + 0.339584i
\(707\) −16.8183 14.5731i −0.632516 0.548078i
\(708\) 14.7379 + 22.9326i 0.553884 + 0.861860i
\(709\) 21.8433 + 25.2085i 0.820342 + 0.946725i 0.999310 0.0371296i \(-0.0118214\pi\)
−0.178968 + 0.983855i \(0.557276\pi\)
\(710\) −7.67015 + 10.2270i −0.287856 + 0.383811i
\(711\) −18.2686 + 40.0027i −0.685128 + 1.50022i
\(712\) 2.41680i 0.0905733i
\(713\) −37.2280 + 27.7847i −1.39420 + 1.04054i
\(714\) −72.3548 −2.70781
\(715\) −9.78614 9.80372i −0.365981 0.366638i
\(716\) 19.5953 + 5.75369i 0.732310 + 0.215026i
\(717\) −4.18034 + 3.62229i −0.156118 + 0.135277i
\(718\) −8.15934 12.6962i −0.304504 0.473817i
\(719\) 22.7517 26.2569i 0.848497 0.979218i −0.151460 0.988463i \(-0.548398\pi\)
0.999957 + 0.00924569i \(0.00294304\pi\)
\(720\) −7.25468 + 13.2577i −0.270366 + 0.494084i
\(721\) 32.8823 9.65511i 1.22460 0.359575i
\(722\) 2.88060 4.48230i 0.107205 0.166814i
\(723\) −59.6684 + 8.57902i −2.21909 + 0.319057i
\(724\) 6.37784 + 13.9655i 0.237030 + 0.519024i
\(725\) 1.07127 3.62434i 0.0397861 0.134605i
\(726\) 0.209671 + 1.45829i 0.00778160 + 0.0541222i
\(727\) −0.398059 + 0.619392i −0.0147632 + 0.0229720i −0.848557 0.529104i \(-0.822528\pi\)
0.833794 + 0.552076i \(0.186164\pi\)
\(728\) −2.06817 7.04353i −0.0766513 0.261050i
\(729\) 0.117585 0.817822i 0.00435500 0.0302897i
\(730\) 3.58354 1.95258i 0.132633 0.0722684i
\(731\) −11.2257 + 7.21431i −0.415197 + 0.266831i
\(732\) −8.10907 + 7.02655i −0.299720 + 0.259709i
\(733\) 1.83337 6.24389i 0.0677171 0.230623i −0.918680 0.395002i \(-0.870744\pi\)
0.986397 + 0.164379i \(0.0525620\pi\)
\(734\) −12.9388 + 28.3320i −0.477580 + 1.04575i
\(735\) 19.0474 50.9283i 0.702573 1.87852i
\(736\) 1.02620 4.68475i 0.0378263 0.172682i
\(737\) 36.4808i 1.34379i
\(738\) 26.7304 + 12.2074i 0.983961 + 0.449360i
\(739\) 9.79824 + 2.87702i 0.360434 + 0.105833i 0.456935 0.889500i \(-0.348947\pi\)
−0.0965013 + 0.995333i \(0.530765\pi\)
\(740\) 2.48008 0.922487i 0.0911696 0.0339113i
\(741\) 18.5518 11.9225i 0.681518 0.437985i
\(742\) 31.1875 + 27.0241i 1.14493 + 0.992087i
\(743\) 25.2597 + 3.63180i 0.926689 + 0.133238i 0.589104 0.808057i \(-0.299481\pi\)
0.337585 + 0.941295i \(0.390390\pi\)
\(744\) −29.0328 + 8.52481i −1.06440 + 0.312535i
\(745\) −17.8282 23.8603i −0.653175 0.874174i
\(746\) 1.24557 + 8.66314i 0.0456036 + 0.317180i
\(747\) −4.11006 + 1.87700i −0.150379 + 0.0686759i
\(748\) 17.7796 8.11966i 0.650086 0.296884i
\(749\) 2.56388 + 17.8322i 0.0936821 + 0.651573i
\(750\) 2.58539 34.8302i 0.0944052 1.27182i
\(751\) −30.1737 + 8.85979i −1.10105 + 0.323298i −0.781270 0.624193i \(-0.785428\pi\)
−0.319782 + 0.947491i \(0.603610\pi\)
\(752\) 3.42363 + 0.492244i 0.124847 + 0.0179503i
\(753\) 67.5569 + 58.5384i 2.46191 + 2.13326i
\(754\) −1.21402 + 0.780201i −0.0442118 + 0.0284132i
\(755\) −2.47883 6.66426i −0.0902139 0.242537i
\(756\) 43.3176 + 12.7192i 1.57545 + 0.462593i
\(757\) 20.3390 + 9.28852i 0.739234 + 0.337597i 0.749191 0.662354i \(-0.230442\pi\)
−0.00995743 + 0.999950i \(0.503170\pi\)
\(758\) 15.6680i 0.569089i
\(759\) −42.6990 + 23.2353i −1.54987 + 0.843388i
\(760\) 2.89631 7.74408i 0.105060 0.280907i
\(761\) 9.76470 21.3817i 0.353970 0.775087i −0.645961 0.763370i \(-0.723543\pi\)
0.999931 0.0117164i \(-0.00372955\pi\)
\(762\) −13.2789 + 45.2237i −0.481043 + 1.63828i
\(763\) −20.1879 + 17.4930i −0.730853 + 0.633288i
\(764\) −2.47981 + 1.59368i −0.0897163 + 0.0576572i
\(765\) 43.5578 + 79.9406i 1.57483 + 2.89026i
\(766\) 1.16563 8.10714i 0.0421160 0.292923i
\(767\) 4.69375 + 15.9854i 0.169481 + 0.577201i
\(768\) 1.68890 2.62798i 0.0609429 0.0948289i
\(769\) −1.10736 7.70188i −0.0399325 0.277737i 0.960065 0.279776i \(-0.0902601\pi\)
−0.999998 + 0.00203880i \(0.999351\pi\)
\(770\) 1.96520 + 27.8281i 0.0708209 + 1.00285i
\(771\) −20.1053 44.0245i −0.724076 1.58550i
\(772\) −3.18495 + 0.457926i −0.114629 + 0.0164811i
\(773\)