Properties

Label 230.2.j.a.29.6
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 29.6
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(-3.80587 - 0.547202i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) 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} +(1.96159 - 1.07339i) 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} +(4.19110 + 5.58819i) 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} +(-2.23023 + 0.161521i) q^{20} +(-4.98970 + 10.9259i) q^{21} +3.24475i q^{22} +(4.49587 - 1.66947i) q^{23} -3.12388 q^{24} +(-1.41727 - 4.79493i) 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} +(-1.49094 - 6.82424i) 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} +(6.07404 - 6.08495i) 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} +(2.09578 + 0.779545i) 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} +(-0.702689 + 4.95038i) 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} +(7.09104 + 1.53590i) 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} +(-1.47869 + 6.82691i) 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} +(-2.04260 + 3.74873i) 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} +(-15.6194 + 0.0280389i) 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} +(-1.58256 - 1.57972i) 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} +(13.1594 - 2.87502i) 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} +(-15.0752 - 1.06460i) q^{90} -7.34088 q^{91} +(4.20587 + 2.30448i) q^{92} -30.2585i q^{93} +(1.43685 - 3.14627i) q^{94} +(-8.24637 + 0.597232i) 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 \(-0.551347\pi\)
0.668737 0.743499i \(-0.266835\pi\)
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −1.33842 + 1.79127i −0.598559 + 0.801079i
\(6\) −2.04571 + 2.36087i −0.835157 + 0.963822i
\(7\) −3.80587 0.547202i −1.43849 0.206823i −0.621470 0.783438i \(-0.713464\pi\)
−0.817016 + 0.576615i \(0.804373\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) −5.68573 3.65400i −1.89524 1.21800i
\(10\) 1.96159 1.07339i 0.620308 0.339437i
\(11\) −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 0.124827 0.992179i \(-0.460162\pi\)
0.399299 + 0.916821i \(0.369253\pi\)
\(14\) 3.23463 + 2.07877i 0.864491 + 0.555575i
\(15\) 4.19110 + 5.58819i 1.08214 + 1.44286i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −4.55253 3.94479i −1.10415 0.956752i −0.104863 0.994487i \(-0.533440\pi\)
−0.999288 + 0.0377344i \(0.987986\pi\)
\(18\) 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 \(0.633304\pi\)
\(20\) −2.23023 + 0.161521i −0.498694 + 0.0361172i
\(21\) −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
\(25\) −1.41727 4.79493i −0.283455 0.958986i
\(26\) −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 \(0.204915\pi\)
\(30\) −1.49094 6.82424i −0.272207 1.24593i
\(31\) 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
\(35\) 6.07404 6.08495i 1.02670 1.02854i
\(36\) −0.961854 6.68984i −0.160309 1.11497i
\(37\) 0.639776 0.995511i 0.105179 0.163661i −0.784675 0.619908i \(-0.787170\pi\)
0.889853 + 0.456246i \(0.150806\pi\)
\(38\) −1.04172 3.54777i −0.168989 0.575525i
\(39\) 0.848781 5.90340i 0.135914 0.945300i
\(40\) 2.09578 + 0.779545i 0.331373 + 0.123257i
\(41\) −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 −0.898121 0.439749i \(-0.855067\pi\)
0.993294 + 0.115620i \(0.0368854\pi\)
\(44\) 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 \(0.0811743\pi\)
−0.967659 + 0.252262i \(0.918826\pi\)
\(48\) 2.84158 + 1.29771i 0.410147 + 0.187308i
\(49\) 7.46880 + 2.19304i 1.06697 + 0.313291i
\(50\) −0.702689 + 4.95038i −0.0993752 + 0.700089i
\(51\) −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 −0.633444 0.773788i \(-0.718359\pi\)
−0.825787 + 0.563983i \(0.809269\pi\)
\(54\) 11.2659 3.30797i 1.53310 0.450158i
\(55\) 7.09104 + 1.53590i 0.956156 + 0.207100i
\(56\) 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 \(-0.237751\pi\)
\(60\) −1.47869 + 6.82691i −0.190898 + 0.881350i
\(61\) 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
\(65\) −2.04260 + 3.74873i −0.253353 + 0.464973i
\(66\) 9.72562 + 2.85570i 1.19714 + 0.351512i
\(67\) 10.2270 + 4.67052i 1.24943 + 0.570595i 0.926666 0.375885i \(-0.122661\pi\)
0.322763 + 0.946480i \(0.395388\pi\)
\(68\) 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 −0.570398 0.821368i \(-0.693211\pi\)
0.731832 + 0.681485i \(0.238666\pi\)
\(74\) −0.995511 + 0.639776i −0.115726 + 0.0743725i
\(75\) −15.6194 + 0.0280389i −1.80357 + 0.00323765i
\(76\) −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 \(-0.164739\pi\)
\(80\) −1.58256 1.57972i −0.176935 0.176618i
\(81\) 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 −0.860523 0.509411i \(-0.829863\pi\)
0.820851 + 0.571143i \(0.193500\pi\)
\(84\) −11.5248 + 3.38399i −1.25746 + 0.369224i
\(85\) 13.1594 2.87502i 1.42733 0.311839i
\(86\) −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 \(0.631794\pi\)
\(90\) −15.0752 1.06460i −1.58907 0.112219i
\(91\) −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
\(95\) −8.24637 + 0.597232i −0.846060 + 0.0612747i
\(96\) −2.04571 2.36087i −0.208789 0.240956i
\(97\) 0.0374373 + 0.0582536i 0.00380118 + 0.00591475i 0.843149 0.537680i \(-0.180699\pi\)
−0.839348 + 0.543595i \(0.817063\pi\)
\(98\) −5.88284 5.09751i −0.594256 0.514926i
\(99\) −3.12097 + 21.7069i −0.313670 + 2.18162i
\(100\) 2.69565 4.21111i 0.269565 0.421111i
\(101\) −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 −0.772652 0.634830i \(-0.781070\pi\)
−0.0262064 + 0.999657i \(0.508343\pi\)
\(104\) −0.793109 1.73667i −0.0777707 0.170294i
\(105\) −12.8929 23.5613i −1.25822 2.29935i
\(106\) 9.02884 + 5.80248i 0.876959 + 0.563587i
\(107\) −1.32004 4.49564i −0.127613 0.434610i 0.870755 0.491717i \(-0.163631\pi\)
−0.998368 + 0.0571070i \(0.981812\pi\)
\(108\) −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 \(0.335238\pi\)
\(110\) −5.81221 4.34283i −0.554172 0.414072i
\(111\) −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 0.803706 0.595027i \(-0.202859\pi\)
0.0766242 + 0.997060i \(0.475586\pi\)
\(114\) −11.5507 −1.08182
\(115\) −3.02689 + 10.2878i −0.282259 + 0.959338i
\(116\) 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
\(120\) 4.18106 5.59571i 0.381677 0.510816i
\(121\) 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
\(125\) 10.4859 + 3.87891i 0.937887 + 0.346940i
\(126\) −10.7954 23.6386i −0.961731 2.10590i
\(127\) −13.7245 + 6.26776i −1.21785 + 0.556174i −0.917531 0.397665i \(-0.869821\pi\)
−0.300320 + 0.953839i \(0.597093\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) −5.82147 3.74123i −0.512552 0.329397i
\(130\) 3.41529 2.56144i 0.299541 0.224653i
\(131\) 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
\(135\) −1.89651 26.1863i −0.163225 2.25376i
\(136\) −2.50240 + 5.47950i −0.214579 + 0.469863i
\(137\) 10.6768i 0.912181i 0.889933 + 0.456090i \(0.150751\pi\)
−0.889933 + 0.456090i \(0.849249\pi\)
\(138\) −5.25583 + 14.0294i −0.447406 + 1.19426i
\(139\) −5.71482 −0.484725 −0.242362 0.970186i \(-0.577922\pi\)
−0.242362 + 0.970186i \(0.577922\pi\)
\(140\) 8.57635 + 0.605656i 0.724834 + 0.0511872i
\(141\) 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
\(145\) 0.360755 + 1.65123i 0.0299591 + 0.137127i
\(146\) −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 \(0.679930\pi\)
\(150\) 14.2195 + 6.46302i 1.16102 + 0.527704i
\(151\) 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
\(155\) −7.55082 + 20.3002i −0.606497 + 1.63055i
\(156\) 5.01732 3.22444i 0.401707 0.258162i
\(157\) 5.26961 4.56614i 0.420560 0.364418i −0.418721 0.908115i \(-0.637521\pi\)
0.839281 + 0.543697i \(0.182976\pi\)
\(158\) −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 0.347920 0.937524i \(-0.386888\pi\)
−0.480694 + 0.876888i \(0.659615\pi\)
\(164\) −4.17179 1.22495i −0.325762 0.0956525i
\(165\) 10.8444 19.9025i 0.844238 1.54941i
\(166\) 0.562406 0.361436i 0.0436512 0.0280529i
\(167\) 10.4732 + 9.07509i 0.810441 + 0.702251i 0.957989 0.286803i \(-0.0925927\pi\)
−0.147548 + 0.989055i \(0.547138\pi\)
\(168\) 11.8891 + 1.70939i 0.917264 + 0.131883i
\(169\) −8.97603 + 2.63560i −0.690463 + 0.202738i
\(170\) −13.1645 2.85139i −1.00967 0.218692i
\(171\) −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 −0.375367 0.926876i \(-0.622483\pi\)
0.454673 + 0.890658i \(0.349756\pi\)
\(174\) 0.336040 + 2.33721i 0.0254752 + 0.177184i
\(175\) 2.77017 + 19.0244i 0.209405 + 1.43811i
\(176\) 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 \(0.0417961\pi\)
\(180\) 13.2707 + 7.23087i 0.989137 + 0.538957i
\(181\) 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
\(190\) 7.74927 + 2.88241i 0.562191 + 0.209112i
\(191\) −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 −0.772983 0.634427i \(-0.781236\pi\)
0.898204 + 0.439580i \(0.144873\pi\)
\(194\) −0.00985476 0.0685413i −0.000707530 0.00492098i
\(195\) 9.43854 + 9.42161i 0.675908 + 0.674696i
\(196\) 3.23364 + 7.08067i 0.230974 + 0.505762i
\(197\) 14.4094 2.07176i 1.02663 0.147607i 0.391633 0.920122i \(-0.371910\pi\)
0.634997 + 0.772514i \(0.281001\pi\)
\(198\) 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 \(0.312505\pi\)
\(200\) −4.20141 + 2.71075i −0.297084 + 0.191679i
\(201\) 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
\(205\) 0.684872 9.69808i 0.0478335 0.677343i
\(206\) 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
\(210\) 1.94009 + 26.7881i 0.133879 + 1.84855i
\(211\) −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
\(215\) 2.97197 + 3.96267i 0.202687 + 0.270252i
\(216\) 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
\(220\) 3.48289 + 6.36485i 0.234817 + 0.429118i
\(221\) −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 0.810978 0.585076i \(-0.198935\pi\)
0.613293 + 0.789856i \(0.289845\pi\)
\(224\) −2.51795 + 2.90587i −0.168237 + 0.194156i
\(225\) −9.46242 + 32.4414i −0.630828 + 2.16276i
\(226\) −6.73702 7.77494i −0.448140 0.517181i
\(227\) 7.74379 26.3729i 0.513973 1.75043i −0.136235 0.990676i \(-0.543500\pi\)
0.650209 0.759756i \(-0.274681\pi\)
\(228\) 10.5069 + 4.79834i 0.695836 + 0.317778i
\(229\) −15.3959 −1.01739 −0.508694 0.860947i \(-0.669872\pi\)
−0.508694 + 0.860947i \(0.669872\pi\)
\(230\) 7.02704 8.10066i 0.463349 0.534142i
\(231\) 38.9738 2.56429
\(232\) −0.687563 0.313999i −0.0451407 0.0206151i
\(233\) −1.56435 + 5.32769i −0.102484 + 0.349028i −0.994731 0.102519i \(-0.967310\pi\)
0.892247 + 0.451548i \(0.149128\pi\)
\(234\) 8.45004 + 9.75187i 0.552397 + 0.637500i
\(235\) −6.19570 4.62937i −0.404163 0.301987i
\(236\) 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 \(0.663579\pi\)
\(240\) −6.12777 + 3.35316i −0.395546 + 0.216445i
\(241\) 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
\(245\) −13.9247 + 10.4434i −0.889616 + 0.667205i
\(246\) 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
\(250\) −7.92695 7.88438i −0.501345 0.498652i
\(251\) 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
\(255\) 2.96413 41.9734i 0.185621 2.62848i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 11.7088 10.1457i 0.730375 0.632873i −0.208146 0.978098i \(-0.566743\pi\)
0.938520 + 0.345225i \(0.112197\pi\)
\(258\) 3.74123 + 5.82147i 0.232919 + 0.362429i
\(259\) −2.97965 + 3.43870i −0.185147 + 0.213671i
\(260\) −4.17072 + 0.911205i −0.258657 + 0.0565105i
\(261\) −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 −0.418822 0.908068i \(-0.637557\pi\)
−0.146024 + 0.989281i \(0.546648\pi\)
\(264\) 4.21073 + 9.22022i 0.259153 + 0.567465i
\(265\) 16.9545 16.9850i 1.04151 1.04338i
\(266\) 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 \(0.696673\pi\)
\(270\) −9.15306 + 24.6077i −0.557037 + 1.49758i
\(271\) 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 \(0.195400\pi\)
−0.817426 + 0.576033i \(0.804600\pi\)
\(278\) 5.19838 + 2.37402i 0.311778 + 0.142384i
\(279\) −62.8137 18.4438i −3.76056 1.10420i
\(280\) −7.54972 4.11367i −0.451182 0.245839i
\(281\) −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 0.253478 0.967341i \(-0.418425\pi\)
−0.0293212 + 0.999570i \(0.509335\pi\)
\(284\) 5.48545 1.61067i 0.325502 0.0955759i
\(285\) −5.46752 + 25.2428i −0.323868 + 1.49526i
\(286\) 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
\(290\) 0.357790 1.65187i 0.0210102 0.0970012i
\(291\) 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 0.0911996 0.995833i \(-0.470930\pi\)
−0.972717 + 0.231993i \(0.925475\pi\)
\(294\) −20.4565 + 13.1466i −1.19304 + 0.766723i
\(295\) 17.1343 + 9.33606i 0.997595 + 0.543566i
\(296\) −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
\(305\) −2.67756 + 7.19855i −0.153317 + 0.412188i
\(306\) 5.79408 40.2987i 0.331225 2.30372i
\(307\) −1.93147 6.57798i −0.110235 0.375425i 0.885835 0.464001i \(-0.153587\pi\)
−0.996069 + 0.0885757i \(0.971768\pi\)
\(308\) −6.74508 + 10.4956i −0.384337 + 0.598040i
\(309\) 3.96248 + 27.5597i 0.225418 + 1.56781i
\(310\) 15.3015 15.3290i 0.869065 0.870626i
\(311\) 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 \(-0.548224\pi\)
0.961907 0.273375i \(-0.0881401\pi\)
\(314\) −6.69025 + 1.96443i −0.377552 + 0.110859i
\(315\) −56.7697 + 12.4029i −3.19861 + 0.698823i
\(316\) 4.26102 4.91748i 0.239701 0.276630i
\(317\) 6.35336 + 9.88602i 0.356840 + 0.555254i 0.972543 0.232725i \(-0.0747640\pi\)
−0.615703 + 0.787979i \(0.711128\pi\)
\(318\) 25.3383 21.9558i 1.42090 1.23122i
\(319\) −2.35326 0.690978i −0.131757 0.0386874i
\(320\) 0.157517 2.23051i 0.00880548 0.124689i
\(321\) −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
\(325\) −3.98113 8.67620i −0.220833 0.481269i
\(326\) 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
\(330\) −18.1323 + 13.5991i −0.998148 + 0.748603i
\(331\) −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
\(335\) −22.0542 + 12.0682i −1.20495 + 0.659356i
\(336\) −10.1046 6.49383i −0.551251 0.354268i
\(337\) 3.07503 + 10.4726i 0.167508 + 0.570479i 0.999868 + 0.0162442i \(0.00517092\pi\)
−0.832360 + 0.554235i \(0.813011\pi\)
\(338\) 9.25975 + 1.33135i 0.503664 + 0.0724159i
\(339\) 21.0457 24.2880i 1.14304 1.31914i
\(340\) 10.7903 + 8.06245i 0.585189 + 0.437248i
\(341\) −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
\(345\) 28.1720 + 18.1269i 1.51673 + 0.975918i
\(346\) −1.14675 −0.0616495
\(347\) −1.98162 0.904975i −0.106379 0.0485816i 0.361515 0.932366i \(-0.382260\pi\)
−0.467894 + 0.883785i \(0.654987\pi\)
\(348\) 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 \(0.902053\pi\)
\(350\) 5.38320 18.4560i 0.287744 0.986515i
\(351\) −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 0.862486 0.506082i \(-0.168907\pi\)
−0.999177 + 0.0405519i \(0.987088\pi\)
\(354\) 22.9326 + 14.7379i 1.21885 + 0.783310i
\(355\) 6.13663 + 11.2145i 0.325698 + 0.595201i
\(356\) −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 \(0.812205\pi\)
\(360\) −9.06760 12.0903i −0.477905 0.637213i
\(361\) 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
\(365\) 0.294787 + 4.07031i 0.0154298 + 0.213050i
\(366\) −4.45734 + 9.76020i −0.232989 + 0.510174i
\(367\) 31.1467i 1.62585i −0.582372 0.812923i \(-0.697875\pi\)
0.582372 0.812923i \(-0.302125\pi\)
\(368\) 1.01265 + 4.68770i 0.0527880 + 0.244363i
\(369\) 29.3860 1.52977
\(370\) 0.186401 2.63951i 0.00969051 0.137222i
\(371\) 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 0.696871 0.717196i \(-0.254575\pi\)
−0.941875 + 0.335963i \(0.890938\pi\)
\(374\) 12.7998 14.7718i 0.661864 0.763832i
\(375\) 20.8550 28.0160i 1.07695 1.44674i
\(376\) 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 \(0.995463\pi\)
\(380\) −5.85158 5.84109i −0.300180 0.299642i
\(381\) 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 0.997205 0.0747139i \(-0.0238043\pi\)
−0.879296 + 0.476276i \(0.841986\pi\)
\(384\) 0.444575 3.09209i 0.0226871 0.157792i
\(385\) −26.1472 9.72567i −1.33258 0.495666i
\(386\) −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
\(395\) 12.7761 + 6.96140i 0.642835 + 0.350266i
\(396\) −18.4487 + 11.8563i −0.927084 + 0.595801i
\(397\) −18.8841 16.3632i −0.947768 0.821246i 0.0362449 0.999343i \(-0.488460\pi\)
−0.984013 + 0.178097i \(0.943006\pi\)
\(398\) −8.34437 1.19974i −0.418265 0.0601375i
\(399\) −42.6136 + 12.5125i −2.13335 + 0.626407i
\(400\) 4.94782 0.720457i 0.247391 0.0360229i
\(401\) 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
\(405\) −35.8476 7.76448i −1.78128 0.385820i
\(406\) 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 \(0.910469\pi\)
\(410\) −4.65171 + 8.53718i −0.229732 + 0.421621i
\(411\) 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 \(0.0922841\pi\)
\(420\) 9.36339 25.1732i 0.456887 1.22833i
\(421\) 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
\(425\) −12.4628 + 27.4199i −0.604535 + 1.33006i
\(426\) 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
\(430\) −1.05725 4.83917i −0.0509850 0.233366i
\(431\) −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 −0.428816 0.903392i \(-0.641069\pi\)
0.833170 + 0.553018i \(0.186524\pi\)
\(434\) 35.7349 + 10.4927i 1.71533 + 0.503666i
\(435\) 5.26679 + 0.371937i 0.252523 + 0.0178330i
\(436\) −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 \(0.191635\pi\)
\(440\) −0.524095 7.23652i −0.0249852 0.344988i
\(441\) −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 0.939023 0.343854i \(-0.111733\pi\)
−0.206717 + 0.978401i \(0.566278\pi\)
\(444\) 0.526095 3.65907i 0.0249674 0.173652i
\(445\) 4.32331 3.24245i 0.204945 0.153707i
\(446\) −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 \(0.994952\pi\)
\(450\) 22.0840 25.5789i 1.04105 1.20580i
\(451\) 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
\(455\) 9.82517 13.1495i 0.460611 0.616457i
\(456\) −7.56411 8.72944i −0.354222 0.408794i
\(457\) 2.99295 10.1930i 0.140004 0.476810i −0.859401 0.511302i \(-0.829163\pi\)
0.999405 + 0.0344921i \(0.0109814\pi\)
\(458\) 14.0046 + 6.39568i 0.654392 + 0.298851i
\(459\) 70.7294 3.30137
\(460\) −9.75716 + 4.44948i −0.454930 + 0.207458i
\(461\) 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 −0.998939 0.0460456i \(-0.985338\pi\)
0.865255 + 0.501331i \(0.167156\pi\)
\(464\) 0.494989 + 0.571248i 0.0229793 + 0.0265195i
\(465\) 54.2011 + 40.4986i 2.51351 + 1.87808i
\(466\) 3.63618 4.19638i 0.168443 0.194393i
\(467\) 6.77403 + 0.973958i 0.313465 + 0.0450694i 0.297252 0.954799i \(-0.403930\pi\)
0.0162129 + 0.999869i \(0.494839\pi\)
\(468\) −3.63536 12.3809i −0.168044 0.572307i
\(469\) −36.3670 23.3717i −1.67927 1.07920i
\(470\) 3.71270 + 6.78481i 0.171254 + 0.312960i
\(471\) −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
\(475\) 9.96730 15.5708i 0.457331 0.714437i
\(476\) −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 \(0.537014\pi\)
\(480\) 6.96696 0.504573i 0.317997 0.0230305i
\(481\) 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
\(485\) −0.154454 0.0109075i −0.00701342 0.000495283i
\(486\) −15.3685 4.51259i −0.697127 0.204695i
\(487\) −3.73659 + 3.23778i −0.169321 + 0.146718i −0.735399 0.677634i \(-0.763005\pi\)
0.566078 + 0.824352i \(0.308460\pi\)
\(488\) −1.85698 2.88952i −0.0840616 0.130802i
\(489\) −3.81229 + 4.39961i −0.172398 + 0.198957i
\(490\) 17.0047 3.71513i 0.768194 0.167833i
\(491\) −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
\(495\) −34.7056 34.6433i −1.55990 1.55710i
\(496\) 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 \(0.839137\pi\)
\(500\) 3.93532 + 10.4649i 0.175993 + 0.468003i
\(501\) 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 \(-0.664606\pi\)
0.885850 0.463971i \(-0.153576\pi\)
\(504\) 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 \(0.400586\pi\)
\(510\) −20.1327 + 36.9490i −0.891489 + 1.63613i
\(511\) −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
\(515\) 4.21895 19.4783i 0.185909 0.858318i
\(516\) −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
\(520\) 4.17234 + 0.903717i 0.182969 + 0.0396306i
\(521\) 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 0.998626 0.0524108i \(-0.0166905\pi\)
0.0902420 + 0.995920i \(0.471236\pi\)
\(524\) 5.17826 3.32786i 0.226213 0.145378i
\(525\) 59.4608 + 8.44025i 2.59508 + 0.368363i
\(526\) 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
\(535\) 9.81966 + 3.65251i 0.424541 + 0.157912i
\(536\) 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
\(540\) 18.5483 18.5817i 0.798193 0.799627i
\(541\) 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
\(545\) −3.31575 15.1767i −0.142031 0.650097i
\(546\) 15.0173 17.3309i 0.642681 0.741694i
\(547\) −19.4025 30.1909i −0.829593 1.29087i −0.954352 0.298685i \(-0.903452\pi\)
0.124759 0.992187i \(-0.460184\pi\)
\(548\) −8.06899 + 6.99182i −0.344690 + 0.298676i
\(549\) −22.2741 6.54026i −0.950634 0.279131i
\(550\) 15.5583 4.59869i 0.663409 0.196089i
\(551\) 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
\(555\) 8.24447 0.597095i 0.349958 0.0253453i
\(556\) −3.74241 4.31897i −0.158714 0.183165i
\(557\) −3.87063 6.02282i −0.164004 0.255195i 0.749518 0.661983i \(-0.230285\pi\)
−0.913523 + 0.406788i \(0.866649\pi\)
\(558\) 49.4755 + 42.8708i 2.09446 + 1.81486i
\(559\) 0.601883 4.18619i 0.0254569 0.177057i
\(560\) 5.15859 + 6.87819i 0.217990 + 0.290657i
\(561\) 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 −0.791702 0.610908i \(-0.790805\pi\)
−0.0567611 + 0.998388i \(0.518077\pi\)
\(564\) 4.48856 + 9.82857i 0.189002 + 0.413858i
\(565\) −20.1803 + 11.0428i −0.848990 + 0.464573i
\(566\) −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 \(0.257457\pi\)
\(570\) 15.4597 20.6904i 0.647535 0.866625i
\(571\) 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
\(575\) −14.3769 19.1913i −0.599557 0.800332i
\(576\) 6.75864 0.281610
\(577\) 36.5015 + 16.6697i 1.51958 + 0.693968i 0.988200 0.153168i \(-0.0489475\pi\)
0.531377 + 0.847135i \(0.321675\pi\)
\(578\) 5.43375 18.5057i 0.226014 0.769734i
\(579\) −6.58247 7.59658i −0.273558 0.315703i
\(580\) −1.01167 + 1.35396i −0.0420073 + 0.0562203i
\(581\) 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
\(585\) 25.3115 13.8506i 1.04650 0.572653i
\(586\) 8.29410 + 18.1615i 0.342626 + 0.750246i
\(587\) −16.1922 + 7.39472i −0.668323 + 0.305213i −0.720530 0.693423i \(-0.756102\pi\)
0.0522074 + 0.998636i \(0.483374\pi\)
\(588\) 24.0691 3.46062i 0.992594 0.142713i
\(589\) 30.1296 + 19.3631i 1.24147 + 0.797845i
\(590\) −11.7075 15.6102i −0.481991 0.642662i
\(591\) 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 \(0.194704\pi\)
0.182259 + 0.983251i \(0.441659\pi\)
\(594\) −24.9491 28.7928i −1.02367 1.18138i
\(595\) −51.6561 + 3.74112i −2.11769 + 0.153371i
\(596\) −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 \(0.481394\pi\)
\(600\) 4.42739 + 14.9788i 0.180748 + 0.611507i
\(601\) −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
\(605\) 0.225091 + 1.03027i 0.00915125 + 0.0418866i
\(606\) 17.3477 5.09375i 0.704703 0.206919i
\(607\) 9.62947 14.9837i 0.390848 0.608172i −0.588948 0.808171i \(-0.700458\pi\)
0.979796 + 0.199999i \(0.0640940\pi\)
\(608\) 3.65991 0.526216i 0.148429 0.0213409i
\(609\) 3.77156 + 8.25857i 0.152831 + 0.334654i
\(610\) 5.42598 5.43573i 0.219692 0.220086i
\(611\) 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 0.982822 0.184559i \(-0.0590856\pi\)
−0.926582 + 0.376093i \(0.877267\pi\)
\(614\) −0.975666 + 6.78591i −0.0393747 + 0.273857i
\(615\) −28.4657 10.5881i −1.14785 0.426952i
\(616\) 10.4956 6.74508i 0.422878 0.271767i
\(617\) 0.788753 0.683459i 0.0317540 0.0275150i −0.638839 0.769340i \(-0.720585\pi\)
0.670593 + 0.741825i \(0.266040\pi\)
\(618\) 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
\(625\) −20.9827 + 13.5914i −0.839307 + 0.543658i
\(626\) −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
\(630\) 56.7919 + 12.3009i 2.26264 + 0.490081i
\(631\) −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
\(635\) 7.14186 32.9731i 0.283416 1.30850i
\(636\) −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
\(640\) −1.06987 + 1.96351i −0.0422904 + 0.0776146i
\(641\) 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 \(0.0883108\pi\)
−0.961761 + 0.273891i \(0.911689\pi\)
\(644\) −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 \(0.397634\pi\)
−0.778825 + 0.627241i \(0.784184\pi\)
\(648\) 12.3968 10.7419i 0.486991 0.421980i
\(649\) −23.8199 + 15.3081i −0.935012 + 0.600896i
\(650\) 0.0171363 + 9.54597i 0.000672140 + 0.374424i
\(651\) −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 \(0.459920\pi\)
−0.954599 + 0.297894i \(0.903716\pi\)
\(654\) −3.08860 21.4817i −0.120774 0.840000i
\(655\) 9.74128 + 9.72381i 0.380623 + 0.379941i
\(656\) −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 \(0.182775\pi\)
\(660\) 22.1429 4.83772i 0.861913 0.188308i
\(661\) 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
\(665\) 31.7115 + 2.23944i 1.22972 + 0.0868418i
\(666\) 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
\(670\) 25.0745 1.81599i 0.968713 0.0701577i
\(671\) −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 \(0.166291\pi\)
0.617231 + 0.786782i \(0.288255\pi\)
\(674\) 1.55333 10.8036i 0.0598320 0.416140i
\(675\) 49.4450 + 31.6511i 1.90314 + 1.21825i
\(676\) −7.86990 5.05768i −0.302688 0.194526i
\(677\) −24.9938 + 3.59357i −0.960591 + 0.138112i −0.604733 0.796428i \(-0.706720\pi\)
−0.355858 + 0.934540i \(0.615811\pi\)
\(678\) −29.2334 + 13.3504i −1.12270 + 0.512721i
\(679\) −0.110605 0.242192i −0.00424464 0.00929446i
\(680\) −6.46598 11.8163i −0.247959 0.453136i
\(681\) −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 −0.196132 0.980577i \(-0.562838\pi\)
−0.464448 + 0.885600i \(0.653747\pi\)
\(684\) 16.3652 18.8865i 0.625740 0.722143i
\(685\) −19.1250 14.2900i −0.730729 0.545994i
\(686\) 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
\(690\) −18.0960 28.1918i −0.688901 1.07324i
\(691\) −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
\(695\) 7.64882 10.2368i 0.290136 0.388303i
\(696\) −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
\(700\) −12.5636 + 14.5519i −0.474861 + 0.550010i
\(701\) −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
\(705\) −19.3286 + 14.4963i −0.727959 + 0.545963i
\(706\) −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 \(0.557276\pi\)
\(710\) −0.923421 12.7503i −0.0346554 0.478509i
\(711\) −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
\(715\) 13.8177 + 0.975798i 0.516753 + 0.0364928i
\(716\) 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 \(0.00294304\pi\)
\(720\) 3.22570 + 14.7645i 0.120215 + 0.550241i
\(721\) 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
\(725\) −3.44063 1.56382i −0.127782 0.0580789i
\(726\) 0.209671 + 1.45829i 0.00778160 + 0.0541222i
\(727\) 0.398059 0.619392i 0.0147632 0.0229720i −0.833794 0.552076i \(-0.813836\pi\)
0.848557 + 0.529104i \(0.177472\pi\)
\(728\) 2.06817 + 7.04353i 0.0766513 + 0.261050i
\(729\) 0.117585 0.817822i 0.00435500 0.0302897i
\(730\) 1.42272 3.82494i 0.0526572 0.141567i
\(731\) −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 −0.986397 0.164379i \(-0.947438\pi\)
0.918680 + 0.395002i \(0.129256\pi\)
\(734\) −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 \(0.530765\pi\)
\(740\) −1.26605 + 2.32355i −0.0465409 + 0.0854155i
\(741\) 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 −0.337585 0.941295i \(-0.609610\pi\)
−0.589104 + 0.808057i \(0.700519\pi\)
\(744\) −29.0328 + 8.52481i −1.06440 + 0.312535i
\(745\) −29.1102 6.30517i −1.06651 0.231004i
\(746\) 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
\(750\) −30.6087 + 16.8208i −1.11767 + 0.614207i
\(751\) −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
\(755\) −6.24366 3.40202i −0.227230 0.123812i
\(756\) 43.3176 + 12.7192i 1.57545 + 0.462593i
\(757\) −20.3390 9.28852i −0.739234 0.337597i 0.00995743 0.999950i \(-0.496830\pi\)
−0.749191 + 0.662354i \(0.769558\pi\)
\(758\) 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
\(765\) −85.3259 31.7377i −3.08496 1.14748i
\(766\) 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 \(0.999351\pi\)
\(770\) 19.7441 + 19.7087i 0.711529 + 0.710253i
\(771\) −20.1053 44.0245i −0.724076 1.58550i
\(772\) 3.18495 0.457926i 0.114629 0.0164811i
\(773\) 8.04304 12.5152i