Properties

Label 441.2.bn.a.164.24
Level $441$
Weight $2$
Character 441.164
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 164.24
Character \(\chi\) \(=\) 441.164
Dual form 441.2.bn.a.320.24

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.123034 + 0.255482i) q^{2} +(1.44307 + 0.957892i) q^{3} +(1.19685 + 1.50080i) q^{4} +(1.22576 + 0.378095i) q^{5} +(-0.422270 + 0.250825i) q^{6} +(-2.64499 - 0.0636538i) q^{7} +(-1.08359 + 0.247322i) q^{8} +(1.16489 + 2.76461i) q^{9} +O(q^{10})\) \(q+(-0.123034 + 0.255482i) q^{2} +(1.44307 + 0.957892i) q^{3} +(1.19685 + 1.50080i) q^{4} +(1.22576 + 0.378095i) q^{5} +(-0.422270 + 0.250825i) q^{6} +(-2.64499 - 0.0636538i) q^{7} +(-1.08359 + 0.247322i) q^{8} +(1.16489 + 2.76461i) q^{9} +(-0.247406 + 0.266640i) q^{10} +(-3.82613 + 0.286729i) q^{11} +(0.289527 + 3.31220i) q^{12} +(4.22610 - 0.316703i) q^{13} +(0.341685 - 0.667915i) q^{14} +(1.40667 + 1.71976i) q^{15} +(-0.784167 + 3.43566i) q^{16} +(0.900045 + 2.29328i) q^{17} +(-0.849628 - 0.0425322i) q^{18} +(2.20151 - 1.27104i) q^{19} +(0.899595 + 2.29213i) q^{20} +(-3.75592 - 2.62547i) q^{21} +(0.397489 - 1.01279i) q^{22} +(-1.21551 - 8.06436i) q^{23} +(-1.80060 - 0.681058i) q^{24} +(-2.77167 - 1.88970i) q^{25} +(-0.439041 + 1.11866i) q^{26} +(-0.967186 + 5.10535i) q^{27} +(-3.07011 - 4.04577i) q^{28} +(5.30891 - 2.08359i) q^{29} +(-0.612436 + 0.147791i) q^{30} -0.428403i q^{31} +(-2.51921 - 2.00900i) q^{32} +(-5.79602 - 3.25125i) q^{33} +(-0.696627 - 0.0522050i) q^{34} +(-3.21804 - 1.07808i) q^{35} +(-2.75492 + 5.05706i) q^{36} +(8.80969 + 1.32785i) q^{37} +(0.0538687 + 0.718827i) q^{38} +(6.40192 + 3.59113i) q^{39} +(-1.42172 - 0.106544i) q^{40} +(0.135859 - 0.126058i) q^{41} +(1.13286 - 0.636549i) q^{42} +(5.21500 + 4.83881i) q^{43} +(-5.00961 - 5.39908i) q^{44} +(0.382580 + 3.82917i) q^{45} +(2.20985 + 0.681648i) q^{46} +(-10.4905 - 5.05198i) q^{47} +(-4.42260 + 4.20674i) q^{48} +(6.99190 + 0.336727i) q^{49} +(0.823793 - 0.475617i) q^{50} +(-0.897886 + 4.17150i) q^{51} +(5.53330 + 5.96348i) q^{52} +(0.241650 + 1.60324i) q^{53} +(-1.18533 - 0.875228i) q^{54} +(-4.79831 - 1.09518i) q^{55} +(2.88182 - 0.585188i) q^{56} +(4.39445 + 0.274609i) q^{57} +(-0.120854 + 1.61268i) q^{58} +(0.772848 - 3.38607i) q^{59} +(-0.897438 + 4.16942i) q^{60} +(3.12058 + 2.48858i) q^{61} +(0.109449 + 0.0527080i) q^{62} +(-2.90513 - 7.38649i) q^{63} +(-5.52684 + 2.66159i) q^{64} +(5.29991 + 1.20967i) q^{65} +(1.54374 - 1.08077i) q^{66} -5.54916 q^{67} +(-2.36453 + 4.09548i) q^{68} +(5.97073 - 12.8017i) q^{69} +(0.671358 - 0.689511i) q^{70} +(3.06453 - 2.44388i) q^{71} +(-1.94600 - 2.70759i) q^{72} +(7.31380 + 0.548094i) q^{73} +(-1.42313 + 2.08735i) q^{74} +(-2.18959 - 5.38192i) q^{75} +(4.54244 + 1.78278i) q^{76} +(10.1383 - 0.514846i) q^{77} +(-1.70512 + 1.19375i) q^{78} +7.35659 q^{79} +(-2.26020 + 3.91479i) q^{80} +(-6.28608 + 6.44090i) q^{81} +(0.0154905 + 0.0502189i) q^{82} +(0.00990503 - 0.132173i) q^{83} +(-0.554961 - 8.77915i) q^{84} +(0.236157 + 3.15130i) q^{85} +(-1.87785 + 0.737002i) q^{86} +(9.65697 + 2.07860i) q^{87} +(4.07503 - 1.25698i) q^{88} +(-12.0170 - 8.19302i) q^{89} +(-1.02535 - 0.373374i) q^{90} +(-11.1981 + 0.568666i) q^{91} +(10.6482 - 11.4760i) q^{92} +(0.410364 - 0.618214i) q^{93} +(2.58138 - 2.05858i) q^{94} +(3.17909 - 0.725606i) q^{95} +(-1.71098 - 5.31226i) q^{96} +(-13.9621 - 8.06102i) q^{97} +(-0.946267 + 1.74488i) q^{98} +(-5.24970 - 10.2437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.123034 + 0.255482i −0.0869980 + 0.180653i −0.939929 0.341371i \(-0.889109\pi\)
0.852931 + 0.522024i \(0.174823\pi\)
\(3\) 1.44307 + 0.957892i 0.833155 + 0.553039i
\(4\) 1.19685 + 1.50080i 0.598423 + 0.750399i
\(5\) 1.22576 + 0.378095i 0.548174 + 0.169089i 0.556457 0.830876i \(-0.312160\pi\)
−0.00828278 + 0.999966i \(0.502637\pi\)
\(6\) −0.422270 + 0.250825i −0.172391 + 0.102399i
\(7\) −2.64499 0.0636538i −0.999711 0.0240589i
\(8\) −1.08359 + 0.247322i −0.383106 + 0.0874415i
\(9\) 1.16489 + 2.76461i 0.388295 + 0.921535i
\(10\) −0.247406 + 0.266640i −0.0782366 + 0.0843190i
\(11\) −3.82613 + 0.286729i −1.15362 + 0.0864520i −0.637771 0.770226i \(-0.720143\pi\)
−0.515851 + 0.856678i \(0.672524\pi\)
\(12\) 0.289527 + 3.31220i 0.0835793 + 0.956150i
\(13\) 4.22610 0.316703i 1.17211 0.0878375i 0.525592 0.850737i \(-0.323844\pi\)
0.646517 + 0.762899i \(0.276225\pi\)
\(14\) 0.341685 0.667915i 0.0913191 0.178508i
\(15\) 1.40667 + 1.71976i 0.363201 + 0.444040i
\(16\) −0.784167 + 3.43566i −0.196042 + 0.858915i
\(17\) 0.900045 + 2.29328i 0.218293 + 0.556201i 0.997508 0.0705556i \(-0.0224772\pi\)
−0.779215 + 0.626757i \(0.784382\pi\)
\(18\) −0.849628 0.0425322i −0.200259 0.0100249i
\(19\) 2.20151 1.27104i 0.505061 0.291597i −0.225740 0.974188i \(-0.572480\pi\)
0.730801 + 0.682591i \(0.239147\pi\)
\(20\) 0.899595 + 2.29213i 0.201156 + 0.512536i
\(21\) −3.75592 2.62547i −0.819609 0.572924i
\(22\) 0.397489 1.01279i 0.0847449 0.215927i
\(23\) −1.21551 8.06436i −0.253451 1.68153i −0.647203 0.762318i \(-0.724061\pi\)
0.393752 0.919217i \(-0.371177\pi\)
\(24\) −1.80060 0.681058i −0.367545 0.139020i
\(25\) −2.77167 1.88970i −0.554335 0.377939i
\(26\) −0.439041 + 1.11866i −0.0861031 + 0.219387i
\(27\) −0.967186 + 5.10535i −0.186135 + 0.982524i
\(28\) −3.07011 4.04577i −0.580196 0.764579i
\(29\) 5.30891 2.08359i 0.985840 0.386914i 0.183003 0.983112i \(-0.441418\pi\)
0.802837 + 0.596199i \(0.203323\pi\)
\(30\) −0.612436 + 0.147791i −0.111815 + 0.0269829i
\(31\) 0.428403i 0.0769434i −0.999260 0.0384717i \(-0.987751\pi\)
0.999260 0.0384717i \(-0.0122489\pi\)
\(32\) −2.51921 2.00900i −0.445338 0.355145i
\(33\) −5.79602 3.25125i −1.00896 0.565970i
\(34\) −0.696627 0.0522050i −0.119471 0.00895308i
\(35\) −3.21804 1.07808i −0.543948 0.182229i
\(36\) −2.75492 + 5.05706i −0.459154 + 0.842844i
\(37\) 8.80969 + 1.32785i 1.44830 + 0.218297i 0.825642 0.564194i \(-0.190813\pi\)
0.622662 + 0.782491i \(0.286051\pi\)
\(38\) 0.0538687 + 0.718827i 0.00873865 + 0.116609i
\(39\) 6.40192 + 3.59113i 1.02513 + 0.575040i
\(40\) −1.42172 0.106544i −0.224794 0.0168460i
\(41\) 0.135859 0.126058i 0.0212175 0.0196870i −0.669493 0.742819i \(-0.733488\pi\)
0.690710 + 0.723132i \(0.257298\pi\)
\(42\) 1.13286 0.636549i 0.174805 0.0982217i
\(43\) 5.21500 + 4.83881i 0.795280 + 0.737912i 0.969047 0.246875i \(-0.0794036\pi\)
−0.173767 + 0.984787i \(0.555594\pi\)
\(44\) −5.00961 5.39908i −0.755227 0.813941i
\(45\) 0.382580 + 3.82917i 0.0570316 + 0.570819i
\(46\) 2.20985 + 0.681648i 0.325824 + 0.100503i
\(47\) −10.4905 5.05198i −1.53020 0.736907i −0.535980 0.844231i \(-0.680058\pi\)
−0.994224 + 0.107323i \(0.965772\pi\)
\(48\) −4.42260 + 4.20674i −0.638347 + 0.607191i
\(49\) 6.99190 + 0.336727i 0.998842 + 0.0481038i
\(50\) 0.823793 0.475617i 0.116502 0.0672624i
\(51\) −0.897886 + 4.17150i −0.125729 + 0.584126i
\(52\) 5.53330 + 5.96348i 0.767330 + 0.826985i
\(53\) 0.241650 + 1.60324i 0.0331932 + 0.220222i 0.999278 0.0380041i \(-0.0121000\pi\)
−0.966084 + 0.258227i \(0.916862\pi\)
\(54\) −1.18533 0.875228i −0.161303 0.119103i
\(55\) −4.79831 1.09518i −0.647004 0.147674i
\(56\) 2.88182 0.585188i 0.385099 0.0781991i
\(57\) 4.39445 + 0.274609i 0.582059 + 0.0363729i
\(58\) −0.120854 + 1.61268i −0.0158689 + 0.211756i
\(59\) 0.772848 3.38607i 0.100616 0.440829i −0.899377 0.437174i \(-0.855979\pi\)
0.999993 0.00365481i \(-0.00116337\pi\)
\(60\) −0.897438 + 4.16942i −0.115859 + 0.538269i
\(61\) 3.12058 + 2.48858i 0.399549 + 0.318630i 0.802567 0.596563i \(-0.203467\pi\)
−0.403018 + 0.915192i \(0.632039\pi\)
\(62\) 0.109449 + 0.0527080i 0.0139001 + 0.00669392i
\(63\) −2.90513 7.38649i −0.366012 0.930610i
\(64\) −5.52684 + 2.66159i −0.690855 + 0.332698i
\(65\) 5.29991 + 1.20967i 0.657373 + 0.150041i
\(66\) 1.54374 1.08077i 0.190022 0.133033i
\(67\) −5.54916 −0.677937 −0.338969 0.940798i \(-0.610078\pi\)
−0.338969 + 0.940798i \(0.610078\pi\)
\(68\) −2.36453 + 4.09548i −0.286741 + 0.496650i
\(69\) 5.97073 12.8017i 0.718791 1.54115i
\(70\) 0.671358 0.689511i 0.0802426 0.0824123i
\(71\) 3.06453 2.44388i 0.363693 0.290036i −0.424544 0.905407i \(-0.639566\pi\)
0.788237 + 0.615372i \(0.210994\pi\)
\(72\) −1.94600 2.70759i −0.229339 0.319093i
\(73\) 7.31380 + 0.548094i 0.856016 + 0.0641495i 0.495505 0.868605i \(-0.334983\pi\)
0.360511 + 0.932755i \(0.382602\pi\)
\(74\) −1.42313 + 2.08735i −0.165436 + 0.242649i
\(75\) −2.18959 5.38192i −0.252832 0.621451i
\(76\) 4.54244 + 1.78278i 0.521054 + 0.204499i
\(77\) 10.1383 0.514846i 1.15537 0.0586721i
\(78\) −1.70512 + 1.19375i −0.193067 + 0.135165i
\(79\) 7.35659 0.827682 0.413841 0.910349i \(-0.364187\pi\)
0.413841 + 0.910349i \(0.364187\pi\)
\(80\) −2.26020 + 3.91479i −0.252699 + 0.437687i
\(81\) −6.28608 + 6.44090i −0.698454 + 0.715655i
\(82\) 0.0154905 + 0.0502189i 0.00171064 + 0.00554574i
\(83\) 0.00990503 0.132173i 0.00108722 0.0145079i −0.996634 0.0819821i \(-0.973875\pi\)
0.997721 + 0.0674742i \(0.0214940\pi\)
\(84\) −0.554961 8.77915i −0.0605512 0.957884i
\(85\) 0.236157 + 3.15130i 0.0256148 + 0.341806i
\(86\) −1.87785 + 0.737002i −0.202494 + 0.0794730i
\(87\) 9.65697 + 2.07860i 1.03534 + 0.222849i
\(88\) 4.07503 1.25698i 0.434400 0.133995i
\(89\) −12.0170 8.19302i −1.27380 0.868459i −0.278046 0.960568i \(-0.589687\pi\)
−0.995749 + 0.0921089i \(0.970639\pi\)
\(90\) −1.02535 0.373374i −0.108082 0.0393571i
\(91\) −11.1981 + 0.568666i −1.17388 + 0.0596124i
\(92\) 10.6482 11.4760i 1.11015 1.19646i
\(93\) 0.410364 0.618214i 0.0425527 0.0641058i
\(94\) 2.58138 2.05858i 0.266249 0.212327i
\(95\) 3.17909 0.725606i 0.326167 0.0744456i
\(96\) −1.71098 5.31226i −0.174626 0.542180i
\(97\) −13.9621 8.06102i −1.41764 0.818473i −0.421545 0.906807i \(-0.638512\pi\)
−0.996091 + 0.0883347i \(0.971846\pi\)
\(98\) −0.946267 + 1.74488i −0.0955874 + 0.176259i
\(99\) −5.24970 10.2437i −0.527614 1.02953i
\(100\) −0.481217 6.42139i −0.0481217 0.642139i
\(101\) −5.60323 + 5.19904i −0.557542 + 0.517324i −0.907841 0.419314i \(-0.862270\pi\)
0.350299 + 0.936638i \(0.386080\pi\)
\(102\) −0.955273 0.742629i −0.0945861 0.0735312i
\(103\) 1.82219 5.90739i 0.179546 0.582072i −0.820402 0.571788i \(-0.806250\pi\)
0.999947 0.0102845i \(-0.00327372\pi\)
\(104\) −4.50102 + 1.38838i −0.441362 + 0.136142i
\(105\) −3.61116 4.63828i −0.352413 0.452649i
\(106\) −0.439331 0.135516i −0.0426716 0.0131625i
\(107\) 1.15001 1.68675i 0.111175 0.163064i −0.766618 0.642103i \(-0.778062\pi\)
0.877794 + 0.479038i \(0.159015\pi\)
\(108\) −8.81966 + 4.65876i −0.848672 + 0.448290i
\(109\) −13.9701 + 9.52467i −1.33810 + 0.912298i −0.999589 0.0286661i \(-0.990874\pi\)
−0.338506 + 0.940964i \(0.609922\pi\)
\(110\) 0.870154 1.09114i 0.0829659 0.104036i
\(111\) 11.4410 + 10.3549i 1.08594 + 0.982845i
\(112\) 2.29280 9.03736i 0.216650 0.853950i
\(113\) 5.98685 8.78110i 0.563196 0.826057i −0.433998 0.900914i \(-0.642898\pi\)
0.997194 + 0.0748571i \(0.0238501\pi\)
\(114\) −0.610823 + 1.08892i −0.0572088 + 0.101986i
\(115\) 1.55918 10.3445i 0.145395 0.964630i
\(116\) 9.48100 + 5.47386i 0.880288 + 0.508235i
\(117\) 5.79848 + 11.3146i 0.536070 + 1.04603i
\(118\) 0.769994 + 0.614049i 0.0708837 + 0.0565278i
\(119\) −2.23463 6.12297i −0.204848 0.561292i
\(120\) −1.94959 1.51561i −0.177972 0.138355i
\(121\) 3.67992 0.554659i 0.334538 0.0504235i
\(122\) −1.01972 + 0.491073i −0.0923214 + 0.0444596i
\(123\) 0.316803 0.0517728i 0.0285652 0.00466819i
\(124\) 0.642946 0.512732i 0.0577382 0.0460447i
\(125\) −6.68180 8.37871i −0.597638 0.749415i
\(126\) 2.24455 + 0.166579i 0.199960 + 0.0148400i
\(127\) 10.6063 13.2999i 0.941157 1.18017i −0.0423135 0.999104i \(-0.513473\pi\)
0.983470 0.181069i \(-0.0579558\pi\)
\(128\) 8.18386i 0.723358i
\(129\) 2.89053 + 11.9781i 0.254497 + 1.05462i
\(130\) −0.961117 + 1.20520i −0.0842955 + 0.105703i
\(131\) 15.5756 + 14.4521i 1.36085 + 1.26268i 0.933491 + 0.358600i \(0.116746\pi\)
0.427358 + 0.904083i \(0.359445\pi\)
\(132\) −2.05747 12.5899i −0.179080 1.09581i
\(133\) −5.90387 + 3.22175i −0.511930 + 0.279361i
\(134\) 0.682733 1.41771i 0.0589792 0.122472i
\(135\) −3.11584 + 5.89222i −0.268169 + 0.507121i
\(136\) −1.54245 2.26237i −0.132264 0.193996i
\(137\) −1.47917 4.79534i −0.126374 0.409694i 0.870171 0.492750i \(-0.164008\pi\)
−0.996545 + 0.0830561i \(0.973532\pi\)
\(138\) 2.53601 + 3.10046i 0.215880 + 0.263929i
\(139\) −8.31314 8.95943i −0.705111 0.759929i 0.274335 0.961634i \(-0.411542\pi\)
−0.979446 + 0.201705i \(0.935352\pi\)
\(140\) −2.23351 6.11992i −0.188766 0.517227i
\(141\) −10.2993 17.3392i −0.867359 1.46022i
\(142\) 0.247328 + 1.08361i 0.0207553 + 0.0909348i
\(143\) −16.0788 + 2.42349i −1.34458 + 0.202662i
\(144\) −10.4117 + 1.83424i −0.867642 + 0.152853i
\(145\) 7.29522 0.546701i 0.605835 0.0454011i
\(146\) −1.03987 + 1.80111i −0.0860605 + 0.149061i
\(147\) 9.76723 + 7.18340i 0.805587 + 0.592477i
\(148\) 8.55101 + 14.8108i 0.702889 + 1.21744i
\(149\) 10.3664 + 15.2047i 0.849245 + 1.24561i 0.967561 + 0.252638i \(0.0812980\pi\)
−0.118316 + 0.992976i \(0.537750\pi\)
\(150\) 1.64438 + 0.102757i 0.134263 + 0.00839011i
\(151\) 0.743745 1.89503i 0.0605251 0.154215i −0.897412 0.441193i \(-0.854555\pi\)
0.957937 + 0.286978i \(0.0926506\pi\)
\(152\) −2.07117 + 1.92177i −0.167994 + 0.155876i
\(153\) −5.29155 + 5.15967i −0.427797 + 0.417135i
\(154\) −1.11582 + 2.65350i −0.0899154 + 0.213825i
\(155\) 0.161977 0.525117i 0.0130103 0.0421784i
\(156\) 2.27255 + 13.9060i 0.181950 + 1.11337i
\(157\) 1.21055 + 0.276300i 0.0966123 + 0.0220511i 0.270554 0.962705i \(-0.412793\pi\)
−0.173941 + 0.984756i \(0.555650\pi\)
\(158\) −0.905109 + 1.87948i −0.0720066 + 0.149523i
\(159\) −1.18702 + 2.54506i −0.0941366 + 0.201837i
\(160\) −2.32834 3.41505i −0.184072 0.269983i
\(161\) 2.70167 + 21.4075i 0.212921 + 1.68715i
\(162\) −0.872134 2.39843i −0.0685213 0.188438i
\(163\) 12.5872 3.88264i 0.985907 0.304112i 0.240447 0.970662i \(-0.422706\pi\)
0.745460 + 0.666550i \(0.232230\pi\)
\(164\) 0.351790 + 0.0530238i 0.0274702 + 0.00414046i
\(165\) −5.87522 6.17669i −0.457385 0.480854i
\(166\) 0.0325493 + 0.0187923i 0.00252632 + 0.00145857i
\(167\) −7.99202 1.20460i −0.618441 0.0932149i −0.167653 0.985846i \(-0.553619\pi\)
−0.450788 + 0.892631i \(0.648857\pi\)
\(168\) 4.71920 + 1.91600i 0.364094 + 0.147823i
\(169\) 4.90483 0.739285i 0.377295 0.0568680i
\(170\) −0.834156 0.327382i −0.0639768 0.0251091i
\(171\) 6.07843 + 4.60569i 0.464830 + 0.352206i
\(172\) −1.02053 + 13.6180i −0.0778144 + 1.03836i
\(173\) −7.18460 9.00920i −0.546235 0.684957i 0.429712 0.902966i \(-0.358615\pi\)
−0.975947 + 0.218009i \(0.930044\pi\)
\(174\) −1.71918 + 2.21145i −0.130331 + 0.167649i
\(175\) 7.21075 + 5.17464i 0.545082 + 0.391166i
\(176\) 2.01522 13.3701i 0.151903 1.00781i
\(177\) 4.35876 4.14602i 0.327624 0.311634i
\(178\) 3.57166 2.06210i 0.267707 0.154561i
\(179\) −3.36129 + 1.31921i −0.251235 + 0.0986024i −0.487617 0.873058i \(-0.662134\pi\)
0.236382 + 0.971660i \(0.424038\pi\)
\(180\) −5.28891 + 5.15710i −0.394212 + 0.384387i
\(181\) −6.60763 13.7209i −0.491142 1.01987i −0.988345 0.152232i \(-0.951354\pi\)
0.497203 0.867634i \(-0.334360\pi\)
\(182\) 1.23246 2.93089i 0.0913563 0.217252i
\(183\) 2.11941 + 6.58036i 0.156672 + 0.486434i
\(184\) 3.31160 + 8.43782i 0.244134 + 0.622044i
\(185\) 10.2965 + 4.95852i 0.757012 + 0.364558i
\(186\) 0.107454 + 0.180902i 0.00787892 + 0.0132644i
\(187\) −4.10124 8.51630i −0.299912 0.622774i
\(188\) −4.97357 21.7906i −0.362735 1.58925i
\(189\) 2.88317 13.4420i 0.209719 0.977762i
\(190\) −0.205756 + 0.901474i −0.0149271 + 0.0653998i
\(191\) −10.8622 + 2.47922i −0.785958 + 0.179390i −0.596622 0.802522i \(-0.703491\pi\)
−0.189336 + 0.981912i \(0.560634\pi\)
\(192\) −10.5251 1.45327i −0.759585 0.104881i
\(193\) 0.446698 + 1.95711i 0.0321540 + 0.140876i 0.988457 0.151501i \(-0.0484108\pi\)
−0.956303 + 0.292377i \(0.905554\pi\)
\(194\) 3.77726 2.57529i 0.271191 0.184895i
\(195\) 6.48939 + 6.82238i 0.464715 + 0.488561i
\(196\) 7.86286 + 10.8964i 0.561633 + 0.778316i
\(197\) 17.9610i 1.27967i 0.768513 + 0.639834i \(0.220997\pi\)
−0.768513 + 0.639834i \(0.779003\pi\)
\(198\) 3.26298 0.0808789i 0.231890 0.00574781i
\(199\) −0.155340 + 0.503599i −0.0110117 + 0.0356992i −0.960912 0.276854i \(-0.910708\pi\)
0.949900 + 0.312553i \(0.101184\pi\)
\(200\) 3.47072 + 1.36216i 0.245417 + 0.0963189i
\(201\) −8.00781 5.31549i −0.564827 0.374926i
\(202\) −0.638875 2.07118i −0.0449511 0.145728i
\(203\) −14.1746 + 5.17314i −0.994863 + 0.363083i
\(204\) −7.33520 + 3.64509i −0.513567 + 0.255208i
\(205\) 0.214191 0.103149i 0.0149598 0.00720425i
\(206\) 1.28504 + 1.19234i 0.0895331 + 0.0830746i
\(207\) 20.8788 12.7544i 1.45118 0.886495i
\(208\) −2.22589 + 14.7678i −0.154338 + 1.02396i
\(209\) −8.05882 + 5.49441i −0.557440 + 0.380056i
\(210\) 1.62929 0.351922i 0.112432 0.0242850i
\(211\) −16.9674 11.5681i −1.16808 0.796384i −0.185578 0.982630i \(-0.559416\pi\)
−0.982503 + 0.186246i \(0.940368\pi\)
\(212\) −2.11693 + 2.28150i −0.145391 + 0.156694i
\(213\) 6.76330 0.591196i 0.463414 0.0405081i
\(214\) 0.289445 + 0.501334i 0.0197861 + 0.0342705i
\(215\) 4.56278 + 7.90297i 0.311179 + 0.538978i
\(216\) −0.214633 5.77130i −0.0146039 0.392687i
\(217\) −0.0272695 + 1.13312i −0.00185117 + 0.0769212i
\(218\) −0.714587 4.74097i −0.0483979 0.321099i
\(219\) 10.0293 + 7.79677i 0.677717 + 0.526857i
\(220\) −4.09919 8.51206i −0.276367 0.573883i
\(221\) 4.52997 + 9.40657i 0.304718 + 0.632754i
\(222\) −4.05313 + 1.64898i −0.272028 + 0.110672i
\(223\) 1.29694 + 8.60466i 0.0868498 + 0.576211i 0.989354 + 0.145530i \(0.0464886\pi\)
−0.902504 + 0.430681i \(0.858273\pi\)
\(224\) 6.53540 + 5.47414i 0.436664 + 0.365757i
\(225\) 1.99558 9.86386i 0.133039 0.657591i
\(226\) 1.50683 + 2.60991i 0.100233 + 0.173608i
\(227\) 5.36574 + 9.29374i 0.356137 + 0.616847i 0.987312 0.158793i \(-0.0507604\pi\)
−0.631175 + 0.775640i \(0.717427\pi\)
\(228\) 4.84734 + 6.92384i 0.321023 + 0.458542i
\(229\) −20.4475 + 22.0372i −1.35121 + 1.45626i −0.590795 + 0.806822i \(0.701186\pi\)
−0.760416 + 0.649436i \(0.775005\pi\)
\(230\) 2.45100 + 1.67107i 0.161614 + 0.110187i
\(231\) 15.1234 + 8.96845i 0.995049 + 0.590081i
\(232\) −5.23735 + 3.57077i −0.343849 + 0.234432i
\(233\) 0.391159 2.59517i 0.0256257 0.170015i −0.972357 0.233498i \(-0.924983\pi\)
0.997983 + 0.0634829i \(0.0202208\pi\)
\(234\) −3.60408 + 0.0893337i −0.235606 + 0.00583992i
\(235\) −10.9487 10.1589i −0.714215 0.662695i
\(236\) 6.00678 2.89271i 0.391008 0.188300i
\(237\) 10.6161 + 7.04682i 0.689587 + 0.457740i
\(238\) 1.83925 + 0.182424i 0.119221 + 0.0118248i
\(239\) 4.60582 + 14.9317i 0.297925 + 0.965851i 0.973525 + 0.228582i \(0.0734088\pi\)
−0.675599 + 0.737269i \(0.736115\pi\)
\(240\) −7.01157 + 3.48427i −0.452595 + 0.224909i
\(241\) −19.0267 7.46743i −1.22562 0.481019i −0.337801 0.941218i \(-0.609683\pi\)
−0.887816 + 0.460198i \(0.847778\pi\)
\(242\) −0.311049 + 1.00840i −0.0199950 + 0.0648222i
\(243\) −15.2409 + 3.27326i −0.977706 + 0.209979i
\(244\) 7.66179i 0.490496i
\(245\) 8.44304 + 3.05635i 0.539406 + 0.195263i
\(246\) −0.0257505 + 0.0873074i −0.00164179 + 0.00556651i
\(247\) 8.90126 6.06878i 0.566374 0.386147i
\(248\) 0.105953 + 0.464212i 0.00672805 + 0.0294775i
\(249\) 0.140901 0.181247i 0.00892927 0.0114861i
\(250\) 2.96270 0.676216i 0.187377 0.0427677i
\(251\) −6.43073 + 28.1749i −0.405904 + 1.77838i 0.196826 + 0.980438i \(0.436936\pi\)
−0.602731 + 0.797945i \(0.705921\pi\)
\(252\) 7.60863 13.2005i 0.479299 0.831553i
\(253\) 6.96297 + 30.5068i 0.437758 + 1.91794i
\(254\) 2.09295 + 4.34605i 0.131323 + 0.272696i
\(255\) −2.67781 + 4.77375i −0.167691 + 0.298944i
\(256\) −8.96286 4.31628i −0.560178 0.269768i
\(257\) 1.70826 + 4.35258i 0.106558 + 0.271506i 0.974201 0.225682i \(-0.0724610\pi\)
−0.867643 + 0.497188i \(0.834366\pi\)
\(258\) −3.41583 0.735235i −0.212661 0.0457737i
\(259\) −23.2170 4.07291i −1.44263 0.253078i
\(260\) 4.52771 + 9.40188i 0.280796 + 0.583080i
\(261\) 11.9446 + 12.2499i 0.739351 + 0.758249i
\(262\) −5.60857 + 2.20120i −0.346499 + 0.135991i
\(263\) 6.27052 3.62029i 0.386657 0.223237i −0.294054 0.955789i \(-0.595004\pi\)
0.680711 + 0.732552i \(0.261671\pi\)
\(264\) 7.08460 + 2.08953i 0.436027 + 0.128602i
\(265\) −0.309975 + 2.05655i −0.0190416 + 0.126333i
\(266\) −0.0967258 1.90472i −0.00593064 0.116786i
\(267\) −9.49325 23.3340i −0.580977 1.42802i
\(268\) −6.64148 8.32816i −0.405693 0.508723i
\(269\) −1.37055 + 18.2887i −0.0835638 + 1.11508i 0.784997 + 0.619499i \(0.212664\pi\)
−0.868561 + 0.495582i \(0.834955\pi\)
\(270\) −1.12200 1.52098i −0.0682829 0.0925641i
\(271\) −11.3323 4.44760i −0.688388 0.270173i −0.00474500 0.999989i \(-0.501510\pi\)
−0.683643 + 0.729816i \(0.739606\pi\)
\(272\) −8.58470 + 1.29394i −0.520524 + 0.0784564i
\(273\) −16.7044 9.90598i −1.01100 0.599537i
\(274\) 1.40711 + 0.212088i 0.0850067 + 0.0128127i
\(275\) 11.1466 + 6.43550i 0.672166 + 0.388075i
\(276\) 26.3588 6.36085i 1.58662 0.382878i
\(277\) 25.9749 + 3.91509i 1.56068 + 0.235235i 0.871881 0.489717i \(-0.162900\pi\)
0.688799 + 0.724952i \(0.258138\pi\)
\(278\) 3.31177 1.02155i 0.198627 0.0612683i
\(279\) 1.18436 0.499040i 0.0709061 0.0298768i
\(280\) 3.75366 + 0.372304i 0.224324 + 0.0222494i
\(281\) −13.6148 19.9693i −0.812194 1.19127i −0.978713 0.205231i \(-0.934205\pi\)
0.166520 0.986038i \(-0.446747\pi\)
\(282\) 5.69701 0.497989i 0.339252 0.0296548i
\(283\) −6.70027 + 13.9133i −0.398290 + 0.827057i 0.601317 + 0.799011i \(0.294643\pi\)
−0.999607 + 0.0280464i \(0.991071\pi\)
\(284\) 7.33554 + 1.67429i 0.435284 + 0.0993508i
\(285\) 5.28269 + 1.99812i 0.312919 + 0.118359i
\(286\) 1.35908 4.40602i 0.0803639 0.260533i
\(287\) −0.367368 + 0.324774i −0.0216850 + 0.0191708i
\(288\) 2.61951 9.30488i 0.154356 0.548295i
\(289\) 8.01285 7.43484i 0.471344 0.437343i
\(290\) −0.757886 + 1.93106i −0.0445046 + 0.113396i
\(291\) −12.4267 25.0068i −0.728463 1.46592i
\(292\) 7.93092 + 11.6325i 0.464122 + 0.680742i
\(293\) 3.45559 + 5.98526i 0.201878 + 0.349663i 0.949133 0.314874i \(-0.101962\pi\)
−0.747256 + 0.664537i \(0.768629\pi\)
\(294\) −3.03693 + 1.61155i −0.177117 + 0.0939876i
\(295\) 2.22758 3.85828i 0.129695 0.224638i
\(296\) −9.87448 + 0.739990i −0.573943 + 0.0430111i
\(297\) 2.23673 19.8110i 0.129788 1.14955i
\(298\) −5.15993 + 0.777734i −0.298907 + 0.0450529i
\(299\) −7.69086 33.6958i −0.444774 1.94868i
\(300\) 5.45657 9.72746i 0.315035 0.561615i
\(301\) −13.4856 13.1305i −0.777297 0.756832i
\(302\) 0.392641 + 0.423166i 0.0225940 + 0.0243505i
\(303\) −13.0660 + 2.13527i −0.750619 + 0.122668i
\(304\) 2.64052 + 8.56035i 0.151444 + 0.490970i
\(305\) 2.88414 + 4.23026i 0.165146 + 0.242224i
\(306\) −0.667164 1.98671i −0.0381393 0.113573i
\(307\) 11.3202 23.5067i 0.646079 1.34160i −0.278438 0.960454i \(-0.589817\pi\)
0.924517 0.381142i \(-0.124469\pi\)
\(308\) 12.9067 + 14.5994i 0.735426 + 0.831876i
\(309\) 8.28818 6.77930i 0.471498 0.385661i
\(310\) 0.114229 + 0.105989i 0.00648779 + 0.00601979i
\(311\) −2.49320 + 3.12637i −0.141376 + 0.177280i −0.847479 0.530829i \(-0.821880\pi\)
0.706102 + 0.708110i \(0.250452\pi\)
\(312\) −7.82520 2.30797i −0.443015 0.130663i
\(313\) 7.77159i 0.439276i −0.975581 0.219638i \(-0.929512\pi\)
0.975581 0.219638i \(-0.0704876\pi\)
\(314\) −0.219528 + 0.275279i −0.0123887 + 0.0155349i
\(315\) −0.768177 10.1524i −0.0432819 0.572025i
\(316\) 8.80471 + 11.0408i 0.495304 + 0.621091i
\(317\) 22.0075 17.5504i 1.23606 0.985726i 0.236160 0.971714i \(-0.424111\pi\)
0.999902 0.0140123i \(-0.00446039\pi\)
\(318\) −0.504175 0.616390i −0.0282727 0.0345655i
\(319\) −19.7152 + 9.49432i −1.10384 + 0.531580i
\(320\) −7.78089 + 1.17278i −0.434965 + 0.0655604i
\(321\) 3.27526 1.33251i 0.182807 0.0743736i
\(322\) −5.80163 1.94361i −0.323312 0.108313i
\(323\) 4.89631 + 3.90467i 0.272438 + 0.217262i
\(324\) −17.1900 1.72538i −0.954997 0.0958543i
\(325\) −12.3118 7.10825i −0.682938 0.394295i
\(326\) −0.556707 + 3.69351i −0.0308331 + 0.204564i
\(327\) −29.2834 + 0.362866i −1.61938 + 0.0200665i
\(328\) −0.116038 + 0.170196i −0.00640711 + 0.00939750i
\(329\) 27.4258 + 14.0302i 1.51203 + 0.773509i
\(330\) 2.30088 0.741072i 0.126659 0.0407947i
\(331\) −4.30193 + 5.39445i −0.236456 + 0.296506i −0.885875 0.463925i \(-0.846441\pi\)
0.649419 + 0.760431i \(0.275012\pi\)
\(332\) 0.210220 0.143326i 0.0115373 0.00786602i
\(333\) 6.59131 + 25.9021i 0.361202 + 1.41943i
\(334\) 1.29104 1.89361i 0.0706427 0.103614i
\(335\) −6.80191 2.09811i −0.371628 0.114632i
\(336\) 11.9655 10.8453i 0.652771 0.591657i
\(337\) −27.1214 + 8.36584i −1.47740 + 0.455716i −0.925677 0.378314i \(-0.876504\pi\)
−0.551719 + 0.834030i \(0.686028\pi\)
\(338\) −0.414586 + 1.34405i −0.0225505 + 0.0731069i
\(339\) 17.0508 6.93696i 0.926071 0.376764i
\(340\) −4.44682 + 4.12604i −0.241162 + 0.223766i
\(341\) 0.122835 + 1.63913i 0.00665191 + 0.0887636i
\(342\) −1.92452 + 0.986277i −0.104066 + 0.0533318i
\(343\) −18.4720 1.33570i −0.997396 0.0721209i
\(344\) −6.84765 3.95350i −0.369201 0.213158i
\(345\) 12.1589 13.4343i 0.654615 0.723278i
\(346\) 3.18564 0.727101i 0.171261 0.0390892i
\(347\) 4.19460 3.34509i 0.225178 0.179574i −0.504402 0.863469i \(-0.668287\pi\)
0.729580 + 0.683895i \(0.239716\pi\)
\(348\) 8.43835 + 16.9809i 0.452343 + 0.910272i
\(349\) 5.60858 6.04462i 0.300221 0.323561i −0.564867 0.825182i \(-0.691072\pi\)
0.865087 + 0.501621i \(0.167263\pi\)
\(350\) −2.20920 + 1.20556i −0.118086 + 0.0644400i
\(351\) −2.47055 + 21.8820i −0.131868 + 1.16798i
\(352\) 10.2149 + 6.96438i 0.544454 + 0.371203i
\(353\) −7.08484 + 2.18538i −0.377088 + 0.116316i −0.477505 0.878629i \(-0.658459\pi\)
0.100417 + 0.994945i \(0.467982\pi\)
\(354\) 0.522959 + 1.62369i 0.0277950 + 0.0862979i
\(355\) 4.68039 1.83692i 0.248409 0.0974934i
\(356\) −2.08638 27.8408i −0.110578 1.47556i
\(357\) 2.64043 10.9764i 0.139746 0.580932i
\(358\) 0.0765177 1.02106i 0.00404409 0.0539646i
\(359\) −10.5270 34.1276i −0.555593 1.80119i −0.597249 0.802056i \(-0.703740\pi\)
0.0416564 0.999132i \(-0.486737\pi\)
\(360\) −1.36160 4.05462i −0.0717624 0.213697i
\(361\) −6.26891 + 10.8581i −0.329942 + 0.571477i
\(362\) 4.31841 0.226970
\(363\) 5.84168 + 2.72456i 0.306609 + 0.143002i
\(364\) −14.2559 16.1255i −0.747212 0.845207i
\(365\) 8.75770 + 3.43714i 0.458399 + 0.179908i
\(366\) −1.94192 0.268134i −0.101506 0.0140156i
\(367\) −18.2371 + 26.7490i −0.951971 + 1.39628i −0.0340943 + 0.999419i \(0.510855\pi\)
−0.917877 + 0.396866i \(0.870098\pi\)
\(368\) 28.6596 + 2.14774i 1.49398 + 0.111959i
\(369\) 0.506761 + 0.228752i 0.0263809 + 0.0119083i
\(370\) −2.53363 + 2.02050i −0.131717 + 0.105041i
\(371\) −0.537109 4.25594i −0.0278853 0.220957i
\(372\) 1.41896 0.124034i 0.0735694 0.00643087i
\(373\) 5.42569 9.39756i 0.280931 0.486587i −0.690683 0.723158i \(-0.742690\pi\)
0.971614 + 0.236570i \(0.0760233\pi\)
\(374\) 2.68035 0.138598
\(375\) −1.61638 18.4915i −0.0834697 0.954896i
\(376\) 12.6169 + 2.87972i 0.650667 + 0.148510i
\(377\) 21.7761 10.4868i 1.12153 0.540099i
\(378\) 3.07946 + 2.39042i 0.158391 + 0.122950i
\(379\) −4.58988 2.21037i −0.235766 0.113539i 0.312271 0.949993i \(-0.398910\pi\)
−0.548037 + 0.836454i \(0.684625\pi\)
\(380\) 4.89386 + 3.90273i 0.251050 + 0.200206i
\(381\) 28.0455 9.03293i 1.43681 0.462771i
\(382\) 0.703016 3.08012i 0.0359694 0.157592i
\(383\) −2.22828 + 29.7343i −0.113860 + 1.51935i 0.589062 + 0.808088i \(0.299497\pi\)
−0.702922 + 0.711267i \(0.748122\pi\)
\(384\) 7.83925 11.8099i 0.400045 0.602669i
\(385\) 12.6217 + 3.20217i 0.643264 + 0.163198i
\(386\) −0.554966 0.126667i −0.0282470 0.00644720i
\(387\) −7.30253 + 20.0541i −0.371208 + 1.01941i
\(388\) −4.61252 30.6021i −0.234165 1.55358i
\(389\) 7.39214 + 7.96683i 0.374796 + 0.403934i 0.892078 0.451881i \(-0.149247\pi\)
−0.517282 + 0.855815i \(0.673056\pi\)
\(390\) −2.54141 + 0.818542i −0.128689 + 0.0414485i
\(391\) 17.3998 10.0458i 0.879945 0.508037i
\(392\) −7.65961 + 1.36438i −0.386869 + 0.0689114i
\(393\) 8.63315 + 35.7751i 0.435485 + 1.80461i
\(394\) −4.58871 2.20981i −0.231176 0.111329i
\(395\) 9.01738 + 2.78149i 0.453714 + 0.139952i
\(396\) 9.09069 20.1389i 0.456824 1.01202i
\(397\) 19.4525 + 20.9648i 0.976293 + 1.05219i 0.998624 + 0.0524434i \(0.0167009\pi\)
−0.0223305 + 0.999751i \(0.507109\pi\)
\(398\) −0.109548 0.101646i −0.00549117 0.00509506i
\(399\) −11.6058 1.00606i −0.581015 0.0503660i
\(400\) 8.66581 8.04069i 0.433290 0.402035i
\(401\) −29.1589 2.18515i −1.45612 0.109121i −0.676996 0.735987i \(-0.736719\pi\)
−0.779128 + 0.626865i \(0.784338\pi\)
\(402\) 2.34324 1.39187i 0.116870 0.0694200i
\(403\) −0.135676 1.81047i −0.00675852 0.0901861i
\(404\) −14.5089 2.18686i −0.721845 0.108801i
\(405\) −10.1405 + 5.51822i −0.503884 + 0.274203i
\(406\) 0.422310 4.25783i 0.0209589 0.211313i
\(407\) −34.0878 2.55453i −1.68967 0.126623i
\(408\) −0.0587636 4.74225i −0.00290923 0.234776i
\(409\) −5.23627 4.17579i −0.258917 0.206479i 0.485425 0.874279i \(-0.338665\pi\)
−0.744341 + 0.667799i \(0.767236\pi\)
\(410\) 0.0674129i 0.00332929i
\(411\) 2.45888 8.33688i 0.121288 0.411228i
\(412\) 11.0467 4.33550i 0.544230 0.213595i
\(413\) −2.25971 + 8.90691i −0.111193 + 0.438280i
\(414\) 0.689733 + 6.90340i 0.0338985 + 0.339284i
\(415\) 0.0621153 0.158267i 0.00304912 0.00776903i
\(416\) −11.2827 7.69241i −0.553180 0.377152i
\(417\) −3.41425 20.8921i −0.167196 1.02309i
\(418\) −0.412217 2.73488i −0.0201622 0.133767i
\(419\) −1.59346 + 4.06008i −0.0778458 + 0.198348i −0.964499 0.264088i \(-0.914929\pi\)
0.886653 + 0.462436i \(0.153024\pi\)
\(420\) 2.63911 10.9709i 0.128775 0.535326i
\(421\) −0.942921 2.40252i −0.0459552 0.117092i 0.906053 0.423164i \(-0.139080\pi\)
−0.952008 + 0.306072i \(0.900985\pi\)
\(422\) 5.04301 2.91158i 0.245490 0.141734i
\(423\) 1.74645 34.8872i 0.0849152 1.69627i
\(424\) −0.658366 1.67749i −0.0319731 0.0814661i
\(425\) 1.83896 8.05702i 0.0892028 0.390823i
\(426\) −0.681074 + 1.80064i −0.0329982 + 0.0872413i
\(427\) −8.09547 6.78088i −0.391767 0.328150i
\(428\) 3.90785 0.292853i 0.188893 0.0141556i
\(429\) −25.5242 11.9045i −1.23232 0.574755i
\(430\) −2.58044 + 0.193377i −0.124440 + 0.00932549i
\(431\) −11.2250 + 12.0977i −0.540690 + 0.582725i −0.943006 0.332776i \(-0.892015\pi\)
0.402316 + 0.915501i \(0.368205\pi\)
\(432\) −16.7818 7.32637i −0.807415 0.352490i
\(433\) −9.17328 + 2.09374i −0.440840 + 0.100619i −0.437179 0.899374i \(-0.644022\pi\)
−0.00366076 + 0.999993i \(0.501165\pi\)
\(434\) −0.286137 0.146379i −0.0137350 0.00702641i
\(435\) 11.0512 + 6.19911i 0.529863 + 0.297224i
\(436\) −31.0147 9.56676i −1.48533 0.458165i
\(437\) −12.9261 16.2088i −0.618338 0.775372i
\(438\) −3.22588 + 1.60304i −0.154138 + 0.0765962i
\(439\) −0.329569 + 0.684357i −0.0157295 + 0.0326626i −0.908686 0.417481i \(-0.862913\pi\)
0.892956 + 0.450144i \(0.148627\pi\)
\(440\) 5.47025 0.260784
\(441\) 7.21384 + 19.7221i 0.343516 + 0.939147i
\(442\) −2.96055 −0.140819
\(443\) −9.31219 + 19.3370i −0.442436 + 0.918727i 0.553850 + 0.832617i \(0.313158\pi\)
−0.996286 + 0.0861107i \(0.972556\pi\)
\(444\) −1.84745 + 29.5639i −0.0876762 + 1.40304i
\(445\) −11.6321 14.5862i −0.551415 0.691452i
\(446\) −2.35791 0.727318i −0.111650 0.0344395i
\(447\) 0.394932 + 31.8712i 0.0186796 + 1.50746i
\(448\) 14.7878 6.68806i 0.698660 0.315981i
\(449\) 37.1620 8.48199i 1.75378 0.400290i 0.779642 0.626225i \(-0.215401\pi\)
0.974142 + 0.225935i \(0.0725437\pi\)
\(450\) 2.27452 + 1.72342i 0.107222 + 0.0812429i
\(451\) −0.483668 + 0.521270i −0.0227750 + 0.0245456i
\(452\) 20.3440 1.52457i 0.956901 0.0717098i
\(453\) 2.88851 2.02223i 0.135714 0.0950127i
\(454\) −3.03455 + 0.227408i −0.142419 + 0.0106728i
\(455\) −13.9412 3.53692i −0.653573 0.165813i
\(456\) −4.82969 + 0.789279i −0.226171 + 0.0369614i
\(457\) 6.98375 30.5978i 0.326686 1.43130i −0.498719 0.866764i \(-0.666196\pi\)
0.825405 0.564541i \(-0.190947\pi\)
\(458\) −3.11437 7.93530i −0.145525 0.370792i
\(459\) −12.5785 + 2.37701i −0.587113 + 0.110950i
\(460\) 17.3911 10.0408i 0.810864 0.468153i
\(461\) 4.66579 + 11.8882i 0.217307 + 0.553690i 0.997407 0.0719649i \(-0.0229270\pi\)
−0.780100 + 0.625655i \(0.784832\pi\)
\(462\) −4.15197 + 2.76034i −0.193167 + 0.128423i
\(463\) −0.679204 + 1.73058i −0.0315653 + 0.0804270i −0.945787 0.324786i \(-0.894708\pi\)
0.914222 + 0.405213i \(0.132803\pi\)
\(464\) 2.99545 + 19.8735i 0.139060 + 0.922604i
\(465\) 0.736749 0.602623i 0.0341659 0.0279459i
\(466\) 0.614893 + 0.419227i 0.0284844 + 0.0194203i
\(467\) 12.5103 31.8757i 0.578908 1.47503i −0.278521 0.960430i \(-0.589844\pi\)
0.857429 0.514602i \(-0.172060\pi\)
\(468\) −10.0410 + 22.2442i −0.464145 + 1.02824i
\(469\) 14.6774 + 0.353225i 0.677741 + 0.0163104i
\(470\) 3.94248 1.54731i 0.181853 0.0713721i
\(471\) 1.48224 + 1.55829i 0.0682979 + 0.0718024i
\(472\) 3.86024i 0.177682i
\(473\) −21.3407 17.0186i −0.981246 0.782518i
\(474\) −3.10647 + 1.84522i −0.142685 + 0.0847536i
\(475\) −8.50375 0.637268i −0.390179 0.0292399i
\(476\) 6.51483 10.6820i 0.298607 0.489608i
\(477\) −4.15084 + 2.53566i −0.190054 + 0.116100i
\(478\) −4.38145 0.660397i −0.200403 0.0302059i
\(479\) 2.23460 + 29.8187i 0.102102 + 1.36245i 0.779300 + 0.626651i \(0.215575\pi\)
−0.677199 + 0.735800i \(0.736806\pi\)
\(480\) −0.0887038 7.15844i −0.00404876 0.326737i
\(481\) 37.6512 + 2.82157i 1.71675 + 0.128652i
\(482\) 4.24872 3.94224i 0.193524 0.179564i
\(483\) −16.6074 + 33.4803i −0.755661 + 1.52341i
\(484\) 5.23673 + 4.85898i 0.238033 + 0.220863i
\(485\) −14.0663 15.1598i −0.638717 0.688373i
\(486\) 1.03889 4.29651i 0.0471250 0.194893i
\(487\) 25.8673 + 7.97900i 1.17216 + 0.361563i 0.818885 0.573957i \(-0.194593\pi\)
0.353273 + 0.935520i \(0.385069\pi\)
\(488\) −3.99690 1.92480i −0.180931 0.0871318i
\(489\) 21.8834 + 6.45428i 0.989600 + 0.291873i
\(490\) −1.81962 + 1.78101i −0.0822021 + 0.0804579i
\(491\) −1.19796 + 0.691643i −0.0540632 + 0.0312134i −0.526788 0.849997i \(-0.676604\pi\)
0.472725 + 0.881210i \(0.343270\pi\)
\(492\) 0.456865 + 0.413493i 0.0205971 + 0.0186417i
\(493\) 9.55651 + 10.2995i 0.430404 + 0.463865i
\(494\) 0.455309 + 3.02078i 0.0204853 + 0.135911i
\(495\) −2.56173 14.5412i −0.115141 0.653578i
\(496\) 1.47185 + 0.335939i 0.0660879 + 0.0150841i
\(497\) −8.26120 + 6.26897i −0.370566 + 0.281202i
\(498\) 0.0289698 + 0.0582973i 0.00129817 + 0.00261237i
\(499\) −1.56413 + 20.8718i −0.0700199 + 0.934350i 0.845991 + 0.533197i \(0.179010\pi\)
−0.916011 + 0.401153i \(0.868610\pi\)
\(500\) 4.57766 20.0560i 0.204719 0.896934i
\(501\) −10.3791 9.39381i −0.463706 0.419685i
\(502\) −6.40698 5.10940i −0.285958 0.228044i
\(503\) −25.2766 12.1726i −1.12703 0.542749i −0.224972 0.974365i \(-0.572229\pi\)
−0.902057 + 0.431617i \(0.857943\pi\)
\(504\) 4.97480 + 7.28541i 0.221595 + 0.324518i
\(505\) −8.83392 + 4.25419i −0.393104 + 0.189309i
\(506\) −8.65061 1.97445i −0.384567 0.0877748i
\(507\) 7.78616 + 3.63146i 0.345795 + 0.161279i
\(508\) 32.6545 1.44881
\(509\) 18.3180 31.7276i 0.811929 1.40630i −0.0995834 0.995029i \(-0.531751\pi\)
0.911512 0.411273i \(-0.134916\pi\)
\(510\) −0.890146 1.27147i −0.0394163 0.0563014i
\(511\) −19.3100 1.91525i −0.854225 0.0847257i
\(512\) 15.0023 11.9639i 0.663013 0.528735i
\(513\) 4.35984 + 12.4688i 0.192492 + 0.550511i
\(514\) −1.32218 0.0990837i −0.0583188 0.00437039i
\(515\) 4.46711 6.55205i 0.196845 0.288718i
\(516\) −14.5172 + 18.6741i −0.639086 + 0.822081i
\(517\) 41.5868 + 16.3216i 1.82898 + 0.717823i
\(518\) 3.89703 5.43042i 0.171226 0.238599i
\(519\) −1.73801 19.8829i −0.0762904 0.872764i
\(520\) −6.04210 −0.264963
\(521\) −5.16723 + 8.94991i −0.226381 + 0.392103i −0.956733 0.290968i \(-0.906023\pi\)
0.730352 + 0.683071i \(0.239356\pi\)
\(522\) −4.59922 + 1.54448i −0.201302 + 0.0676000i
\(523\) 3.50982 + 11.3786i 0.153474 + 0.497550i 0.999358 0.0358161i \(-0.0114031\pi\)
−0.845885 + 0.533366i \(0.820927\pi\)
\(524\) −3.04800 + 40.6728i −0.133153 + 1.77680i
\(525\) 5.44885 + 14.3745i 0.237807 + 0.627354i
\(526\) 0.153433 + 2.04742i 0.00669001 + 0.0892720i
\(527\) 0.982446 0.385582i 0.0427960 0.0167962i
\(528\) 15.7152 17.3636i 0.683918 0.755655i
\(529\) −41.5782 + 12.8252i −1.80775 + 0.557617i
\(530\) −0.487275 0.332218i −0.0211659 0.0144306i
\(531\) 10.2614 1.80776i 0.445308 0.0784502i
\(532\) −11.9012 5.00456i −0.515983 0.216975i
\(533\) 0.534229 0.575762i 0.0231400 0.0249390i
\(534\) 7.12942 + 0.445518i 0.308520 + 0.0192795i
\(535\) 2.04738 1.63273i 0.0885160 0.0705892i
\(536\) 6.01300 1.37243i 0.259722 0.0592798i
\(537\) −6.11423 1.31605i −0.263849 0.0567916i
\(538\) −4.50381 2.60028i −0.194173 0.112106i
\(539\) −26.8485 + 0.716419i −1.15644 + 0.0308583i
\(540\) −12.5722 + 2.37583i −0.541021 + 0.102239i
\(541\) −0.980237 13.0804i −0.0421437 0.562369i −0.977812 0.209487i \(-0.932821\pi\)
0.935668 0.352882i \(-0.114798\pi\)
\(542\) 2.53054 2.34800i 0.108696 0.100855i
\(543\) 3.60788 26.1296i 0.154829 1.12133i
\(544\) 2.33980 7.58544i 0.100318 0.325223i
\(545\) −20.7252 + 6.39287i −0.887770 + 0.273841i
\(546\) 4.58600 3.04890i 0.196263 0.130481i
\(547\) 20.9181 + 6.45238i 0.894393 + 0.275884i 0.707682 0.706531i \(-0.249741\pi\)
0.186711 + 0.982415i \(0.440217\pi\)
\(548\) 5.42650 7.95921i 0.231809 0.340001i
\(549\) −3.24482 + 11.5261i −0.138485 + 0.491921i
\(550\) −3.01557 + 2.05598i −0.128584 + 0.0876672i
\(551\) 9.03928 11.3349i 0.385086 0.482883i
\(552\) −3.30366 + 15.3485i −0.140613 + 0.653275i
\(553\) −19.4581 0.468275i −0.827442 0.0199131i
\(554\) −4.19602 + 6.15444i −0.178272 + 0.261477i
\(555\) 10.1088 + 17.0184i 0.429094 + 0.722390i
\(556\) 3.49675 23.1994i 0.148295 0.983873i
\(557\) −0.744542 0.429861i −0.0315473 0.0182138i 0.484143 0.874989i \(-0.339131\pi\)
−0.515691 + 0.856775i \(0.672465\pi\)
\(558\) −0.0182209 + 0.363983i −0.000771353 + 0.0154086i
\(559\) 23.5716 + 18.7977i 0.996972 + 0.795058i
\(560\) 6.22740 10.2107i 0.263156 0.431480i
\(561\) 2.23934 16.2181i 0.0945451 0.684730i
\(562\) 6.77689 1.02145i 0.285866 0.0430873i
\(563\) −8.35615 + 4.02411i −0.352170 + 0.169596i −0.601601 0.798796i \(-0.705470\pi\)
0.249432 + 0.968392i \(0.419756\pi\)
\(564\) 13.6959 36.2095i 0.576701 1.52469i
\(565\) 10.6585 8.49988i 0.448407 0.357593i
\(566\) −2.73023 3.42360i −0.114760 0.143905i
\(567\) 17.0366 16.6359i 0.715469 0.698644i
\(568\) −2.71626 + 3.40609i −0.113972 + 0.142916i
\(569\) 8.96393i 0.375788i 0.982189 + 0.187894i \(0.0601661\pi\)
−0.982189 + 0.187894i \(0.939834\pi\)
\(570\) −1.16043 + 1.10380i −0.0486052 + 0.0462329i
\(571\) 6.10745 7.65850i 0.255589 0.320498i −0.637438 0.770502i \(-0.720006\pi\)
0.893027 + 0.450003i \(0.148577\pi\)
\(572\) −22.8810 21.2305i −0.956704 0.887691i
\(573\) −18.0496 6.82710i −0.754035 0.285206i
\(574\) −0.0377754 0.133814i −0.00157672 0.00558530i
\(575\) −11.8702 + 24.6487i −0.495021 + 1.02792i
\(576\) −13.7964 12.1791i −0.574849 0.507462i
\(577\) −14.6848 21.5386i −0.611335 0.896664i 0.388356 0.921509i \(-0.373043\pi\)
−0.999691 + 0.0248450i \(0.992091\pi\)
\(578\) 0.913617 + 2.96187i 0.0380015 + 0.123198i
\(579\) −1.23009 + 3.25213i −0.0511207 + 0.135154i
\(580\) 9.55174 + 10.2943i 0.396614 + 0.427449i
\(581\) −0.0346120 + 0.348966i −0.00143595 + 0.0144776i
\(582\) 7.91768 0.0981120i 0.328199 0.00406687i
\(583\) −1.38428 6.06493i −0.0573311 0.251184i
\(584\) −8.06070 + 1.21496i −0.333554 + 0.0502752i
\(585\) 2.82953 + 16.0613i 0.116987 + 0.664052i
\(586\) −1.95428 + 0.146453i −0.0807306 + 0.00604992i
\(587\) −13.3313 + 23.0905i −0.550242 + 0.953048i 0.448014 + 0.894026i \(0.352131\pi\)
−0.998257 + 0.0590213i \(0.981202\pi\)
\(588\) 0.909037 + 23.2561i 0.0374881 + 0.959063i
\(589\) −0.544518 0.943133i −0.0224365 0.0388611i
\(590\) 0.711654 + 1.04381i 0.0292984 + 0.0429728i
\(591\) −17.2047 + 25.9189i −0.707707 + 1.06616i
\(592\) −11.4703 + 29.2259i −0.471427 + 1.20118i
\(593\) 13.4781 12.5058i 0.553478 0.513553i −0.353103 0.935584i \(-0.614873\pi\)
0.906581 + 0.422032i \(0.138683\pi\)
\(594\) 4.78617 + 3.00887i 0.196379 + 0.123455i
\(595\) −0.424040 8.35017i −0.0173840 0.342324i
\(596\) −10.4122 + 33.7554i −0.426499 + 1.38268i
\(597\) −0.706559 + 0.577928i −0.0289175 + 0.0236530i
\(598\) 9.55492 + 2.18085i 0.390730 + 0.0891815i
\(599\) 0.357456 0.742265i 0.0146053 0.0303281i −0.893539 0.448986i \(-0.851785\pi\)
0.908144 + 0.418658i \(0.137499\pi\)
\(600\) 3.70368 + 5.29025i 0.151202 + 0.215974i
\(601\) 11.9024 + 17.4577i 0.485511 + 0.712113i 0.988338 0.152273i \(-0.0486594\pi\)
−0.502828 + 0.864387i \(0.667707\pi\)
\(602\) 5.01380 1.82983i 0.204347 0.0745782i
\(603\) −6.46413 15.3412i −0.263240 0.624743i
\(604\) 3.73421 1.15185i 0.151943 0.0468681i
\(605\) 4.72040 + 0.711486i 0.191911 + 0.0289260i
\(606\) 1.06203 3.60083i 0.0431420 0.146274i
\(607\) 7.70740 + 4.44987i 0.312834 + 0.180615i 0.648194 0.761475i \(-0.275525\pi\)
−0.335360 + 0.942090i \(0.608858\pi\)
\(608\) −8.09959 1.22082i −0.328482 0.0495107i
\(609\) −25.4102 6.11256i −1.02967 0.247694i
\(610\) −1.43560 + 0.216382i −0.0581259 + 0.00876106i
\(611\) −45.9341 18.0278i −1.85829 0.729327i
\(612\) −14.0768 1.76622i −0.569021 0.0713951i
\(613\) 0.488883 6.52370i 0.0197458 0.263490i −0.978590 0.205820i \(-0.934014\pi\)
0.998336 0.0576698i \(-0.0183670\pi\)
\(614\) 4.61277 + 5.78422i 0.186156 + 0.233432i
\(615\) 0.407898 + 0.0563211i 0.0164480 + 0.00227109i
\(616\) −10.8584 + 3.06531i −0.437498 + 0.123505i
\(617\) 4.60211 30.5330i 0.185274 1.22921i −0.681989 0.731363i \(-0.738885\pi\)
0.867263 0.497851i \(-0.165877\pi\)
\(618\) 0.712264 + 2.95156i 0.0286515 + 0.118729i
\(619\) −9.40239 + 5.42847i −0.377914 + 0.218189i −0.676910 0.736066i \(-0.736681\pi\)
0.298996 + 0.954254i \(0.403348\pi\)
\(620\) 0.981956 0.385389i 0.0394363 0.0154776i
\(621\) 42.3469 + 1.59415i 1.69932 + 0.0639711i
\(622\) −0.491985 1.02162i −0.0197268 0.0409631i
\(623\) 31.2632 + 22.4354i 1.25253 + 0.898854i
\(624\) −17.3581 + 19.1788i −0.694879 + 0.767765i
\(625\) 1.10551 + 2.81679i 0.0442204 + 0.112672i
\(626\) 1.98550 + 0.956167i 0.0793566 + 0.0382161i
\(627\) −16.8925 + 0.209323i −0.674620 + 0.00835955i
\(628\) 1.03417 + 2.14748i 0.0412679 + 0.0856937i
\(629\) 4.88400 + 21.3982i 0.194738 + 0.853201i
\(630\) 2.68828 + 1.05284i 0.107104 + 0.0419460i
\(631\) −1.25668 + 5.50590i −0.0500278 + 0.219186i −0.993762 0.111517i \(-0.964429\pi\)
0.943735 + 0.330704i \(0.107286\pi\)
\(632\) −7.97152 + 1.81945i −0.317090 + 0.0723737i
\(633\) −13.4040 32.9465i −0.532761 1.30951i
\(634\) 1.77614 + 7.78180i 0.0705397 + 0.309055i
\(635\) 18.0294 12.2922i 0.715473 0.487801i
\(636\) −5.24030 + 1.26458i −0.207791 + 0.0501437i
\(637\) 29.6551 0.791311i 1.17498 0.0313529i
\(638\) 6.20499i 0.245658i
\(639\) 10.3262 + 5.62538i 0.408498 + 0.222537i
\(640\) 3.09428 10.0314i 0.122312 0.396526i
\(641\) 37.1445 + 14.5781i 1.46712 + 0.575802i 0.958476 0.285175i \(-0.0920516\pi\)
0.508644 + 0.860977i \(0.330147\pi\)
\(642\) −0.0625348 + 1.00072i −0.00246805 + 0.0394951i
\(643\) −0.566404 1.83624i −0.0223368 0.0724141i 0.943718 0.330751i \(-0.107302\pi\)
−0.966055 + 0.258336i \(0.916826\pi\)
\(644\) −28.8948 + 29.6761i −1.13861 + 1.16940i
\(645\) −0.985792 + 15.7752i −0.0388155 + 0.621146i
\(646\) −1.59999 + 0.770512i −0.0629506 + 0.0303154i
\(647\) 24.4059 + 22.6454i 0.959496 + 0.890282i 0.994028 0.109122i \(-0.0348038\pi\)
−0.0345326 + 0.999404i \(0.510994\pi\)
\(648\) 5.21855 8.53396i 0.205004 0.335246i
\(649\) −1.98613 + 13.1771i −0.0779626 + 0.517248i
\(650\) 3.33080 2.27090i 0.130645 0.0890722i
\(651\) −1.12476 + 1.60905i −0.0440827 + 0.0630635i
\(652\) 20.8920 + 14.2439i 0.818195 + 0.557836i
\(653\) −26.8553 + 28.9431i −1.05093 + 1.13263i −0.0600045 + 0.998198i \(0.519111\pi\)
−0.990923 + 0.134432i \(0.957079\pi\)
\(654\) 3.51014 7.52604i 0.137258 0.294291i
\(655\) 13.6276 + 23.6038i 0.532476 + 0.922276i
\(656\) 0.326558 + 0.565615i 0.0127499 + 0.0220835i
\(657\) 7.00448 + 20.8582i 0.273271 + 0.813758i
\(658\) −6.95876 + 5.28061i −0.271281 + 0.205860i
\(659\) −2.63001 17.4489i −0.102450 0.679714i −0.979817 0.199894i \(-0.935940\pi\)
0.877367 0.479820i \(-0.159298\pi\)
\(660\) 2.23822 16.2100i 0.0871228 0.630975i
\(661\) −15.4757 32.1356i −0.601935 1.24993i −0.949938 0.312437i \(-0.898855\pi\)
0.348004 0.937493i \(-0.386860\pi\)
\(662\) −0.848903 1.76277i −0.0329936 0.0685119i
\(663\) −2.47344 + 17.9135i −0.0960603 + 0.695704i
\(664\) 0.0219564 + 0.145671i 0.000852074 + 0.00565314i
\(665\) −8.45482 + 1.71686i −0.327864 + 0.0665768i
\(666\) −7.42848 1.50287i −0.287848 0.0582351i
\(667\) −23.2559 40.2803i −0.900470 1.55966i
\(668\) −7.75735 13.4361i −0.300141 0.519859i
\(669\) −6.37076 + 13.6594i −0.246308 + 0.528104i
\(670\) 1.37289 1.47963i 0.0530395 0.0571630i
\(671\) −12.6533 8.62686i −0.488474 0.333036i
\(672\) 4.18738 + 14.1598i 0.161532 + 0.546225i
\(673\) −7.84638 + 5.34957i −0.302456 + 0.206211i −0.705032 0.709176i \(-0.749067\pi\)
0.402576 + 0.915387i \(0.368115\pi\)
\(674\) 1.19952 7.95831i 0.0462039 0.306543i
\(675\) 12.3283 12.3227i 0.474515 0.474300i
\(676\) 6.97984 + 6.47635i 0.268456 + 0.249090i
\(677\) 44.3093 21.3382i 1.70294 0.820095i 0.709640 0.704564i \(-0.248858\pi\)
0.993304 0.115530i \(-0.0368568\pi\)
\(678\) −0.325552 + 5.20965i −0.0125027 + 0.200075i
\(679\) 36.4164 + 22.2100i 1.39753 + 0.852342i
\(680\) −1.03528 3.35630i −0.0397012 0.128708i
\(681\) −1.15927 + 18.5513i −0.0444234 + 0.710887i
\(682\) −0.433880 0.170285i −0.0166141 0.00652057i
\(683\) 8.01334 25.9786i 0.306622 0.994044i −0.662831 0.748769i \(-0.730645\pi\)
0.969453 0.245275i \(-0.0788784\pi\)
\(684\) 0.362750 + 14.6348i 0.0138701 + 0.559575i
\(685\) 6.43718i 0.245952i
\(686\) 2.61393 4.55494i 0.0998003 0.173908i
\(687\) −50.6164 + 12.2146i −1.93114 + 0.466017i
\(688\) −20.7139 + 14.1225i −0.789712 + 0.538416i
\(689\) 1.52899 + 6.69894i 0.0582498 + 0.255209i
\(690\) 1.93626 + 4.75926i 0.0737123 + 0.181182i
\(691\) −19.4586 + 4.44129i −0.740239 + 0.168955i −0.575981 0.817463i \(-0.695380\pi\)
−0.164257 + 0.986418i \(0.552523\pi\)
\(692\) 4.92213 21.5652i 0.187111 0.819788i
\(693\) 13.2333 + 27.4287i 0.502692 + 1.04193i
\(694\) 0.338532 + 1.48321i 0.0128505 + 0.0563017i
\(695\) −6.80235 14.1252i −0.258028 0.535800i
\(696\) −10.9783 + 0.136037i −0.416130 + 0.00515647i
\(697\) 0.411365 + 0.198103i 0.0155816 + 0.00750369i
\(698\) 0.854247 + 2.17659i 0.0323337 + 0.0823850i
\(699\) 3.05036 3.37031i 0.115375 0.127477i
\(700\) 0.864066 + 17.0151i 0.0326586 + 0.643111i
\(701\) 4.28993 + 8.90812i 0.162028 + 0.336455i 0.966138 0.258026i \(-0.0830719\pi\)
−0.804110 + 0.594481i \(0.797358\pi\)
\(702\) −5.28650 3.32341i −0.199526 0.125434i
\(703\) 21.0824 8.27422i 0.795137 0.312068i
\(704\) 20.3833 11.7683i 0.768223 0.443534i
\(705\) −6.06858 25.1477i −0.228556 0.947117i
\(706\) 0.313348 2.07893i 0.0117930 0.0782414i
\(707\) 15.1514 13.3947i 0.569827 0.503760i
\(708\) 11.4391 + 1.57947i 0.429908 + 0.0593601i
\(709\) 27.0838 + 33.9621i 1.01715 + 1.27547i 0.960853 + 0.277058i \(0.0893595\pi\)
0.0563017 + 0.998414i \(0.482069\pi\)
\(710\) −0.106546 + 1.42176i −0.00399860 + 0.0533576i
\(711\) 8.56959 + 20.3381i 0.321385 + 0.762738i
\(712\) 15.0477 + 5.90580i 0.563938 + 0.221329i
\(713\) −3.45479 + 0.520726i −0.129383 + 0.0195014i
\(714\) 2.47941 + 2.02505i 0.0927896 + 0.0757856i
\(715\) −20.6250 3.10872i −0.771331 0.116259i
\(716\) −6.00282 3.46573i −0.224336 0.129520i
\(717\) −7.65645 + 25.9593i −0.285935 + 0.969468i
\(718\) 10.0142 + 1.50939i 0.373726 + 0.0563301i
\(719\) −29.5859 + 9.12604i −1.10337 + 0.340344i −0.792354 0.610061i \(-0.791145\pi\)
−0.311014 + 0.950405i \(0.600669\pi\)
\(720\) −13.4557 1.68829i −0.501465 0.0629189i
\(721\) −5.19569 + 15.5090i −0.193498 + 0.577584i
\(722\) −2.00275 2.93750i −0.0745348 0.109322i
\(723\) −20.3038 29.0015i −0.755107 1.07858i
\(724\) 12.6840 26.3385i 0.471396 0.978863i
\(725\) −18.6519 4.25718i −0.692715 0.158108i
\(726\) −1.41480 + 1.15723i −0.0525081 + 0.0429489i
\(727\) 14.6852 47.6082i 0.544643 1.76569i −0.0933333 0.995635i \(-0.529752\pi\)
0.637977 0.770056i \(-0.279772\pi\)
\(728\) 11.9935 3.38574i 0.444509 0.125484i
\(729\) −25.1291 9.87563i −0.930708 0.365764i
\(730\) −1.95562 + 1.81455i −0.0723808 + 0.0671596i
\(731\) −6.40300 + 16.3146i −0.236824 + 0.603417i
\(732\) −7.33917 + 11.0565i −0.271264 + 0.408659i
\(733\) −0.497342 0.729467i −0.0183698 0.0269435i 0.816944 0.576717i \(-0.195666\pi\)
−0.835314 + 0.549773i \(0.814714\pi\)
\(734\) −4.59010 7.95029i −0.169424 0.293450i
\(735\) 9.25622 + 12.4980i 0.341421 + 0.460997i
\(736\) −13.1392 + 22.7578i −0.484318 + 0.838863i
\(737\) 21.2318 1.59110i 0.782083 0.0586090i
\(738\) −0.120791 + 0.101324i −0.00444637 + 0.00372980i
\(739\) −27.3195 + 4.11775i −1.00496 + 0.151474i −0.630847 0.775907i \(-0.717292\pi\)
−0.374118 + 0.927381i \(0.622054\pi\)
\(740\) 4.88156 + 21.3875i 0.179450 + 0.786220i
\(741\) 18.6583 0.231205i 0.685431 0.00849352i
\(742\) 1.15340 + 0.386402i 0.0423426 + 0.0141853i
\(743\) 2.68073 + 2.88914i 0.0983465 + 0.105992i 0.780307 0.625397i \(-0.215063\pi\)
−0.681960 + 0.731389i \(0.738872\pi\)
\(744\) −0.291767 + 0.771381i −0.0106967 + 0.0282802i
\(745\) 6.95781 + 22.5567i 0.254914 + 0.826412i
\(746\) 1.73337 + 2.54238i 0.0634631 + 0.0930833i
\(747\) 0.376945 0.126583i 0.0137917 0.00463144i
\(748\) 7.87270 16.3478i 0.287854 0.597736i
\(749\) −3.14912 + 4.38823i −0.115066 + 0.160342i
\(750\) 4.92311 + 1.86212i 0.179767 + 0.0679950i
\(751\) 17.8307 + 16.5445i 0.650653 + 0.603718i 0.934848 0.355049i \(-0.115536\pi\)
−0.284195 + 0.958767i \(0.591726\pi\)
\(752\) 25.5832 32.0804i 0.932925 1.16985i
\(753\) −36.2685 + 34.4983i −1.32170 + 1.25719i
\(754\) 6.85364i 0.249595i
\(755\) 1.62815 2.04164i 0.0592545 0.0743028i
\(756\) 23.6244 11.7610i 0.859212 0.427742i
\(757\) 15.4584 + 19.3843i 0.561847 + 0.704533i 0.978898 0.204349i \(-0.0655079\pi\)
−0.417051 + 0.908883i \(0.636936\pi\)
\(758\) 1.12942 0.900683i 0.0410224 0.0327143i
\(759\) −19.1742 + 50.6931i −0.695978 + 1.84004i
\(760\) −3.26536 + 1.57252i −0.118447 + 0.0570411i
\(761\) 34.4728 5.19593i 1.24964 0.188352i 0.509300 0.860589i \(-0.329904\pi\)
0.740336 + 0.672237i \(0.234666\pi\)
\(762\) −1.14278 + 8.27647i −0.0413987 + 0.299825i
\(763\) 37.5571 24.3034i 1.35966 0.879841i
\(764\) −16.7211 13.3347i −0.604949 0.482431i
\(765\) −8.43700 + 4.32378i −0.305040 + 0.156327i
\(766\) −7.32244 4.22761i −0.264571 0.152750i
\(767\) 2.19376 14.5546i 0.0792120 0.525537i
\(768\) −8.79947 14.8141i −0.317523 0.534559i
\(769\) −8.78760 + 12.8890i −0.316889 + 0.464791i −0.951327 0.308183i \(-0.900279\pi\)
0.634438 + 0.772974i \(0.281232\pi\)
\(770\) −2.37100 + 2.83066i −0.0854449 + 0.102010i
\(771\) −1.70416 + 7.91739i −0.0613740 + 0.285138i
\(772\) −2.40260 + 3.01277i −0.0864715 + 0.108432i