Properties

Label 144.3.w.a.5.15
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.15
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +O(q^{10})\) \(q+(-1.09867 - 1.67120i) q^{2} +(0.894041 + 2.86368i) q^{3} +(-1.58584 + 3.67221i) q^{4} +(-0.835695 - 3.11886i) q^{5} +(3.80354 - 4.64037i) q^{6} +(0.108974 - 0.0629164i) q^{7} +(7.87933 - 1.38428i) q^{8} +(-7.40138 + 5.12050i) q^{9} +(-4.29409 + 4.82321i) q^{10} +(16.3750 + 4.38767i) q^{11} +(-11.9339 - 1.25825i) q^{12} +(6.21671 + 23.2011i) q^{13} +(-0.224873 - 0.112994i) q^{14} +(8.18427 - 5.18155i) q^{15} +(-10.9702 - 11.6471i) q^{16} +26.4707i q^{17} +(16.6891 + 6.74347i) q^{18} +(-12.4559 + 12.4559i) q^{19} +(12.7784 + 1.87717i) q^{20} +(0.277600 + 0.255819i) q^{21} +(-10.6581 - 32.1866i) q^{22} +(11.0176 - 19.0831i) q^{23} +(11.0086 + 21.3263i) q^{24} +(12.6218 - 7.28718i) q^{25} +(31.9436 - 35.8798i) q^{26} +(-21.2806 - 16.6173i) q^{27} +(0.0582258 + 0.499952i) q^{28} +(9.19097 - 34.3012i) q^{29} +(-17.6513 - 7.98477i) q^{30} +(-2.65318 + 4.59544i) q^{31} +(-7.41200 + 31.1298i) q^{32} +(2.07502 + 50.8156i) q^{33} +(44.2379 - 29.0826i) q^{34} +(-0.287297 - 0.287297i) q^{35} +(-7.06611 - 35.2997i) q^{36} +(-22.6051 - 22.6051i) q^{37} +(34.5012 + 7.13139i) q^{38} +(-60.8826 + 38.5454i) q^{39} +(-10.9021 - 23.4176i) q^{40} +(-13.0140 + 22.5410i) q^{41} +(0.122533 - 0.744987i) q^{42} +(5.71880 - 21.3428i) q^{43} +(-42.0806 + 53.1742i) q^{44} +(22.1554 + 18.8047i) q^{45} +(-43.9965 + 2.55335i) q^{46} +(13.6253 - 7.86657i) q^{47} +(23.5458 - 41.8282i) q^{48} +(-24.4921 + 42.4215i) q^{49} +(-26.0455 - 13.0873i) q^{50} +(-75.8037 + 23.6659i) q^{51} +(-95.0579 - 13.9642i) q^{52} +(19.5741 - 19.5741i) q^{53} +(-4.39045 + 53.8212i) q^{54} -54.7380i q^{55} +(0.771551 - 0.646590i) q^{56} +(-46.8058 - 24.5337i) q^{57} +(-67.4221 + 22.3257i) q^{58} +(-14.4393 - 53.8883i) q^{59} +(6.04875 + 38.2715i) q^{60} +(74.0899 + 19.8523i) q^{61} +(10.5949 - 0.614877i) q^{62} +(-0.484398 + 1.02367i) q^{63} +(60.1675 - 21.8144i) q^{64} +(67.1656 - 38.7781i) q^{65} +(82.6435 - 59.2974i) q^{66} +(-14.5188 - 54.1848i) q^{67} +(-97.2058 - 41.9783i) q^{68} +(64.4982 + 14.4900i) q^{69} +(-0.164487 + 0.795776i) q^{70} -10.7106 q^{71} +(-51.2297 + 50.5917i) q^{72} +98.0523i q^{73} +(-12.9421 + 62.6132i) q^{74} +(32.1525 + 29.6297i) q^{75} +(-25.9875 - 65.4936i) q^{76} +(2.06051 - 0.552113i) q^{77} +(131.307 + 59.3985i) q^{78} +(1.02359 + 1.77291i) q^{79} +(-27.1578 + 43.9479i) q^{80} +(28.5609 - 75.7976i) q^{81} +(51.9687 - 3.01601i) q^{82} +(23.1271 - 86.3114i) q^{83} +(-1.37965 + 0.613718i) q^{84} +(82.5582 - 22.1214i) q^{85} +(-41.9513 + 13.8915i) q^{86} +(106.445 - 4.34659i) q^{87} +(135.098 + 11.9043i) q^{88} -76.9719 q^{89} +(7.08493 - 57.6863i) q^{90} +(2.13719 + 2.13719i) q^{91} +(52.6049 + 70.7218i) q^{92} +(-15.5320 - 3.48936i) q^{93} +(-28.1164 - 14.1279i) q^{94} +(49.2574 + 28.4388i) q^{95} +(-95.7725 + 6.60563i) q^{96} +(19.6709 + 34.0710i) q^{97} +(97.8038 - 5.67606i) q^{98} +(-143.665 + 51.3734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09867 1.67120i −0.549336 0.835602i
\(3\) 0.894041 + 2.86368i 0.298014 + 0.954562i
\(4\) −1.58584 + 3.67221i −0.396461 + 0.918052i
\(5\) −0.835695 3.11886i −0.167139 0.623771i −0.997758 0.0669296i \(-0.978680\pi\)
0.830619 0.556842i \(-0.187987\pi\)
\(6\) 3.80354 4.64037i 0.633924 0.773395i
\(7\) 0.108974 0.0629164i 0.0155678 0.00898806i −0.492196 0.870484i \(-0.663806\pi\)
0.507764 + 0.861496i \(0.330472\pi\)
\(8\) 7.87933 1.38428i 0.984916 0.173035i
\(9\) −7.40138 + 5.12050i −0.822376 + 0.568945i
\(10\) −4.29409 + 4.82321i −0.429409 + 0.482321i
\(11\) 16.3750 + 4.38767i 1.48864 + 0.398879i 0.909276 0.416193i \(-0.136636\pi\)
0.579360 + 0.815072i \(0.303303\pi\)
\(12\) −11.9339 1.25825i −0.994488 0.104854i
\(13\) 6.21671 + 23.2011i 0.478209 + 1.78470i 0.608867 + 0.793272i \(0.291624\pi\)
−0.130659 + 0.991427i \(0.541709\pi\)
\(14\) −0.224873 0.112994i −0.0160624 0.00807100i
\(15\) 8.18427 5.18155i 0.545618 0.345437i
\(16\) −10.9702 11.6471i −0.685638 0.727943i
\(17\) 26.4707i 1.55710i 0.627584 + 0.778549i \(0.284044\pi\)
−0.627584 + 0.778549i \(0.715956\pi\)
\(18\) 16.6891 + 6.74347i 0.927171 + 0.374637i
\(19\) −12.4559 + 12.4559i −0.655573 + 0.655573i −0.954329 0.298757i \(-0.903428\pi\)
0.298757 + 0.954329i \(0.403428\pi\)
\(20\) 12.7784 + 1.87717i 0.638918 + 0.0938586i
\(21\) 0.277600 + 0.255819i 0.0132191 + 0.0121818i
\(22\) −10.6581 32.1866i −0.484457 1.46303i
\(23\) 11.0176 19.0831i 0.479028 0.829700i −0.520683 0.853750i \(-0.674323\pi\)
0.999711 + 0.0240499i \(0.00765606\pi\)
\(24\) 11.0086 + 21.3263i 0.458691 + 0.888596i
\(25\) 12.6218 7.28718i 0.504870 0.291487i
\(26\) 31.9436 35.8798i 1.22860 1.37999i
\(27\) −21.2806 16.6173i −0.788172 0.615455i
\(28\) 0.0582258 + 0.499952i 0.00207949 + 0.0178554i
\(29\) 9.19097 34.3012i 0.316930 1.18280i −0.605249 0.796036i \(-0.706927\pi\)
0.922179 0.386763i \(-0.126407\pi\)
\(30\) −17.6513 7.98477i −0.588375 0.266159i
\(31\) −2.65318 + 4.59544i −0.0855865 + 0.148240i −0.905641 0.424045i \(-0.860610\pi\)
0.820054 + 0.572285i \(0.193943\pi\)
\(32\) −7.41200 + 31.1298i −0.231625 + 0.972805i
\(33\) 2.07502 + 50.8156i 0.0628793 + 1.53987i
\(34\) 44.2379 29.0826i 1.30111 0.855370i
\(35\) −0.287297 0.287297i −0.00820848 0.00820848i
\(36\) −7.06611 35.2997i −0.196281 0.980548i
\(37\) −22.6051 22.6051i −0.610948 0.610948i 0.332245 0.943193i \(-0.392194\pi\)
−0.943193 + 0.332245i \(0.892194\pi\)
\(38\) 34.5012 + 7.13139i 0.907927 + 0.187668i
\(39\) −60.8826 + 38.5454i −1.56109 + 0.988344i
\(40\) −10.9021 23.4176i −0.272552 0.585441i
\(41\) −13.0140 + 22.5410i −0.317416 + 0.549780i −0.979948 0.199253i \(-0.936148\pi\)
0.662532 + 0.749033i \(0.269482\pi\)
\(42\) 0.122533 0.744987i 0.00291746 0.0177378i
\(43\) 5.71880 21.3428i 0.132995 0.496345i −0.867003 0.498303i \(-0.833957\pi\)
0.999998 + 0.00195805i \(0.000623267\pi\)
\(44\) −42.0806 + 53.1742i −0.956377 + 1.20851i
\(45\) 22.1554 + 18.8047i 0.492342 + 0.417882i
\(46\) −43.9965 + 2.55335i −0.956446 + 0.0555075i
\(47\) 13.6253 7.86657i 0.289900 0.167374i −0.347997 0.937496i \(-0.613138\pi\)
0.637897 + 0.770122i \(0.279805\pi\)
\(48\) 23.5458 41.8282i 0.490537 0.871420i
\(49\) −24.4921 + 42.4215i −0.499838 + 0.865746i
\(50\) −26.0455 13.0873i −0.520910 0.261746i
\(51\) −75.8037 + 23.6659i −1.48635 + 0.464036i
\(52\) −95.0579 13.9642i −1.82804 0.268543i
\(53\) 19.5741 19.5741i 0.369322 0.369322i −0.497908 0.867230i \(-0.665898\pi\)
0.867230 + 0.497908i \(0.165898\pi\)
\(54\) −4.39045 + 53.8212i −0.0813046 + 0.996689i
\(55\) 54.7380i 0.995237i
\(56\) 0.771551 0.646590i 0.0137777 0.0115463i
\(57\) −46.8058 24.5337i −0.821154 0.430415i
\(58\) −67.4221 + 22.3257i −1.16245 + 0.384926i
\(59\) −14.4393 53.8883i −0.244734 0.913361i −0.973517 0.228616i \(-0.926580\pi\)
0.728782 0.684745i \(-0.240087\pi\)
\(60\) 6.04875 + 38.2715i 0.100812 + 0.637858i
\(61\) 74.0899 + 19.8523i 1.21459 + 0.325448i 0.808560 0.588413i \(-0.200247\pi\)
0.406027 + 0.913861i \(0.366914\pi\)
\(62\) 10.5949 0.614877i 0.170885 0.00991737i
\(63\) −0.484398 + 1.02367i −0.00768886 + 0.0162488i
\(64\) 60.1675 21.8144i 0.940118 0.340850i
\(65\) 67.1656 38.7781i 1.03332 0.596586i
\(66\) 82.6435 59.2974i 1.25217 0.898446i
\(67\) −14.5188 54.1848i −0.216698 0.808729i −0.985562 0.169316i \(-0.945844\pi\)
0.768863 0.639413i \(-0.220823\pi\)
\(68\) −97.2058 41.9783i −1.42950 0.617328i
\(69\) 64.4982 + 14.4900i 0.934757 + 0.209999i
\(70\) −0.164487 + 0.795776i −0.00234981 + 0.0113682i
\(71\) −10.7106 −0.150854 −0.0754270 0.997151i \(-0.524032\pi\)
−0.0754270 + 0.997151i \(0.524032\pi\)
\(72\) −51.2297 + 50.5917i −0.711523 + 0.702662i
\(73\) 98.0523i 1.34318i 0.740922 + 0.671591i \(0.234389\pi\)
−0.740922 + 0.671591i \(0.765611\pi\)
\(74\) −12.9421 + 62.6132i −0.174894 + 0.846125i
\(75\) 32.1525 + 29.6297i 0.428701 + 0.395063i
\(76\) −25.9875 65.4936i −0.341941 0.861758i
\(77\) 2.06051 0.552113i 0.0267599 0.00717030i
\(78\) 131.307 + 59.3985i 1.68343 + 0.761519i
\(79\) 1.02359 + 1.77291i 0.0129569 + 0.0224419i 0.872431 0.488737i \(-0.162542\pi\)
−0.859474 + 0.511179i \(0.829209\pi\)
\(80\) −27.1578 + 43.9479i −0.339473 + 0.549349i
\(81\) 28.5609 75.7976i 0.352604 0.935773i
\(82\) 51.9687 3.01601i 0.633765 0.0367807i
\(83\) 23.1271 86.3114i 0.278639 1.03990i −0.674724 0.738070i \(-0.735737\pi\)
0.953363 0.301826i \(-0.0975960\pi\)
\(84\) −1.37965 + 0.613718i −0.0164244 + 0.00730617i
\(85\) 82.5582 22.1214i 0.971273 0.260252i
\(86\) −41.9513 + 13.8915i −0.487806 + 0.161529i
\(87\) 106.445 4.34659i 1.22350 0.0499608i
\(88\) 135.098 + 11.9043i 1.53520 + 0.135276i
\(89\) −76.9719 −0.864853 −0.432427 0.901669i \(-0.642343\pi\)
−0.432427 + 0.901669i \(0.642343\pi\)
\(90\) 7.08493 57.6863i 0.0787214 0.640959i
\(91\) 2.13719 + 2.13719i 0.0234856 + 0.0234856i
\(92\) 52.6049 + 70.7218i 0.571792 + 0.768716i
\(93\) −15.5320 3.48936i −0.167010 0.0375200i
\(94\) −28.1164 14.1279i −0.299110 0.150297i
\(95\) 49.2574 + 28.4388i 0.518499 + 0.299356i
\(96\) −95.7725 + 6.60563i −0.997630 + 0.0688086i
\(97\) 19.6709 + 34.0710i 0.202793 + 0.351247i 0.949427 0.313987i \(-0.101665\pi\)
−0.746635 + 0.665234i \(0.768332\pi\)
\(98\) 97.8038 5.67606i 0.997998 0.0579190i
\(99\) −143.665 + 51.3734i −1.45116 + 0.518923i
\(100\) 6.74389 + 57.9060i 0.0674389 + 0.579060i
\(101\) −134.186 35.9552i −1.32858 0.355992i −0.476394 0.879232i \(-0.658056\pi\)
−0.852185 + 0.523240i \(0.824723\pi\)
\(102\) 122.834 + 100.682i 1.20425 + 0.987082i
\(103\) 39.0917 + 22.5696i 0.379531 + 0.219122i 0.677614 0.735418i \(-0.263014\pi\)
−0.298083 + 0.954540i \(0.596347\pi\)
\(104\) 81.1004 + 174.203i 0.779811 + 1.67503i
\(105\) 0.565872 1.07958i 0.00538926 0.0102817i
\(106\) −54.2177 11.2068i −0.511488 0.105724i
\(107\) 73.8367 73.8367i 0.690063 0.690063i −0.272183 0.962246i \(-0.587746\pi\)
0.962246 + 0.272183i \(0.0877455\pi\)
\(108\) 94.7699 51.7945i 0.877499 0.479579i
\(109\) 13.8650 13.8650i 0.127202 0.127202i −0.640640 0.767842i \(-0.721331\pi\)
0.767842 + 0.640640i \(0.221331\pi\)
\(110\) −91.4784 + 60.1391i −0.831622 + 0.546719i
\(111\) 44.5240 84.9437i 0.401117 0.765258i
\(112\) −1.92826 0.579029i −0.0172167 0.00516990i
\(113\) −49.6608 28.6717i −0.439476 0.253731i 0.263899 0.964550i \(-0.414991\pi\)
−0.703375 + 0.710819i \(0.748325\pi\)
\(114\) 10.4234 + 105.176i 0.0914336 + 0.922600i
\(115\) −68.7248 18.4148i −0.597607 0.160128i
\(116\) 111.385 + 88.1474i 0.960220 + 0.759891i
\(117\) −164.814 139.887i −1.40866 1.19562i
\(118\) −74.1942 + 83.3366i −0.628765 + 0.706242i
\(119\) 1.66544 + 2.88463i 0.0139953 + 0.0242406i
\(120\) 57.3138 52.1565i 0.477615 0.434637i
\(121\) 144.100 + 83.1962i 1.19091 + 0.687572i
\(122\) −48.2231 145.630i −0.395272 1.19369i
\(123\) −76.1854 17.1156i −0.619393 0.139151i
\(124\) −12.6679 17.0307i −0.102160 0.137344i
\(125\) −90.3546 90.3546i −0.722837 0.722837i
\(126\) 2.24296 0.315152i 0.0178013 0.00250120i
\(127\) 93.1714 0.733633 0.366816 0.930293i \(-0.380448\pi\)
0.366816 + 0.930293i \(0.380448\pi\)
\(128\) −102.561 76.5853i −0.801255 0.598323i
\(129\) 66.2320 2.70454i 0.513427 0.0209654i
\(130\) −138.599 69.6430i −1.06615 0.535716i
\(131\) −23.1698 + 6.20834i −0.176869 + 0.0473919i −0.346167 0.938173i \(-0.612517\pi\)
0.169298 + 0.985565i \(0.445850\pi\)
\(132\) −189.896 72.9657i −1.43861 0.552770i
\(133\) −0.573693 + 2.14105i −0.00431348 + 0.0160981i
\(134\) −74.6025 + 83.7952i −0.556735 + 0.625337i
\(135\) −34.0428 + 80.2582i −0.252169 + 0.594505i
\(136\) 36.6429 + 208.571i 0.269433 + 1.53361i
\(137\) 31.3293 + 54.2639i 0.228681 + 0.396087i 0.957417 0.288707i \(-0.0932254\pi\)
−0.728736 + 0.684794i \(0.759892\pi\)
\(138\) −46.6466 123.709i −0.338019 0.896444i
\(139\) −10.3992 + 2.78647i −0.0748147 + 0.0200465i −0.296032 0.955178i \(-0.595664\pi\)
0.221218 + 0.975224i \(0.428997\pi\)
\(140\) 1.51062 0.599405i 0.0107901 0.00428147i
\(141\) 34.7089 + 31.9855i 0.246163 + 0.226848i
\(142\) 11.7675 + 17.8996i 0.0828694 + 0.126054i
\(143\) 407.195i 2.84752i
\(144\) 140.834 + 30.0316i 0.978011 + 0.208553i
\(145\) −114.661 −0.790767
\(146\) 163.865 107.727i 1.12236 0.737857i
\(147\) −143.379 32.2110i −0.975366 0.219123i
\(148\) 118.859 47.1624i 0.803099 0.318665i
\(149\) 9.26799 + 34.5886i 0.0622013 + 0.232138i 0.990027 0.140875i \(-0.0449914\pi\)
−0.927826 + 0.373013i \(0.878325\pi\)
\(150\) 14.1922 86.2868i 0.0946147 0.575245i
\(151\) 58.7226 33.9035i 0.388891 0.224526i −0.292788 0.956177i \(-0.594583\pi\)
0.681680 + 0.731651i \(0.261250\pi\)
\(152\) −80.9015 + 115.386i −0.532247 + 0.759121i
\(153\) −135.543 195.920i −0.885903 1.28052i
\(154\) −3.18652 2.83695i −0.0206917 0.0184217i
\(155\) 16.5498 + 4.43450i 0.106773 + 0.0286097i
\(156\) −44.9965 284.701i −0.288439 1.82500i
\(157\) 67.5119 + 251.958i 0.430012 + 1.60483i 0.752728 + 0.658331i \(0.228737\pi\)
−0.322716 + 0.946496i \(0.604596\pi\)
\(158\) 1.83831 3.65848i 0.0116349 0.0231549i
\(159\) 73.5540 + 38.5540i 0.462604 + 0.242478i
\(160\) 103.283 2.89801i 0.645521 0.0181126i
\(161\) 2.77276i 0.0172221i
\(162\) −158.052 + 35.5455i −0.975631 + 0.219417i
\(163\) 139.682 139.682i 0.856947 0.856947i −0.134030 0.990977i \(-0.542792\pi\)
0.990977 + 0.134030i \(0.0427920\pi\)
\(164\) −62.1369 83.5367i −0.378884 0.509370i
\(165\) 156.752 48.9380i 0.950015 0.296594i
\(166\) −169.653 + 56.1778i −1.02201 + 0.338420i
\(167\) 146.617 253.948i 0.877946 1.52065i 0.0243553 0.999703i \(-0.492247\pi\)
0.853591 0.520944i \(-0.174420\pi\)
\(168\) 2.54143 + 1.63140i 0.0151276 + 0.00971072i
\(169\) −353.285 + 203.969i −2.09044 + 1.20692i
\(170\) −127.674 113.667i −0.751022 0.668632i
\(171\) 28.4104 155.971i 0.166143 0.912112i
\(172\) 69.3062 + 54.8470i 0.402943 + 0.318878i
\(173\) 76.0266 283.735i 0.439460 1.64009i −0.290702 0.956814i \(-0.593889\pi\)
0.730162 0.683274i \(-0.239445\pi\)
\(174\) −124.212 173.115i −0.713861 0.994916i
\(175\) 0.916966 1.58823i 0.00523981 0.00907561i
\(176\) −128.534 238.855i −0.730304 1.35713i
\(177\) 141.410 89.5280i 0.798925 0.505808i
\(178\) 84.5668 + 128.636i 0.475095 + 0.722673i
\(179\) 92.1924 + 92.1924i 0.515042 + 0.515042i 0.916067 0.401025i \(-0.131346\pi\)
−0.401025 + 0.916067i \(0.631346\pi\)
\(180\) −104.190 + 51.5380i −0.578831 + 0.286322i
\(181\) −114.860 114.860i −0.634587 0.634587i 0.314628 0.949215i \(-0.398120\pi\)
−0.949215 + 0.314628i \(0.898120\pi\)
\(182\) 1.22361 5.91976i 0.00672314 0.0325261i
\(183\) 9.38856 + 229.919i 0.0513036 + 1.25639i
\(184\) 60.3951 165.613i 0.328234 0.900073i
\(185\) −51.6110 + 89.3929i −0.278978 + 0.483205i
\(186\) 11.2331 + 29.7907i 0.0603929 + 0.160165i
\(187\) −116.145 + 433.457i −0.621094 + 2.31795i
\(188\) 7.28008 + 62.5100i 0.0387239 + 0.332500i
\(189\) −3.36455 0.471958i −0.0178018 0.00249713i
\(190\) −6.59071 113.564i −0.0346879 0.597705i
\(191\) −21.1407 + 12.2056i −0.110684 + 0.0639036i −0.554320 0.832304i \(-0.687022\pi\)
0.443636 + 0.896207i \(0.353688\pi\)
\(192\) 116.262 + 152.798i 0.605530 + 0.795822i
\(193\) 114.683 198.637i 0.594212 1.02921i −0.399446 0.916757i \(-0.630797\pi\)
0.993658 0.112449i \(-0.0358693\pi\)
\(194\) 35.3277 70.3068i 0.182101 0.362406i
\(195\) 171.097 + 157.672i 0.877420 + 0.808574i
\(196\) −116.940 157.214i −0.596633 0.802112i
\(197\) −21.4131 + 21.4131i −0.108696 + 0.108696i −0.759363 0.650667i \(-0.774489\pi\)
0.650667 + 0.759363i \(0.274489\pi\)
\(198\) 243.696 + 183.651i 1.23079 + 0.927528i
\(199\) 154.622i 0.776995i −0.921450 0.388498i \(-0.872994\pi\)
0.921450 0.388498i \(-0.127006\pi\)
\(200\) 89.3634 74.8901i 0.446817 0.374451i
\(201\) 142.188 90.0207i 0.707403 0.447864i
\(202\) 87.3384 + 263.756i 0.432368 + 1.30572i
\(203\) −1.15653 4.31621i −0.00569717 0.0212621i
\(204\) 33.3068 315.897i 0.163269 1.54851i
\(205\) 81.1778 + 21.7515i 0.395989 + 0.106105i
\(206\) −5.23052 90.1267i −0.0253909 0.437508i
\(207\) 16.1693 + 197.657i 0.0781127 + 0.954865i
\(208\) 202.027 326.927i 0.971281 1.57177i
\(209\) −258.617 + 149.313i −1.23740 + 0.714415i
\(210\) −2.42591 + 0.240418i −0.0115519 + 0.00114485i
\(211\) 33.5348 + 125.154i 0.158933 + 0.593146i 0.998736 + 0.0502551i \(0.0160035\pi\)
−0.839804 + 0.542890i \(0.817330\pi\)
\(212\) 40.8386 + 102.921i 0.192635 + 0.485479i
\(213\) −9.57574 30.6719i −0.0449565 0.143999i
\(214\) −204.518 42.2739i −0.955694 0.197542i
\(215\) −71.3444 −0.331835
\(216\) −190.680 101.475i −0.882778 0.469790i
\(217\) 0.667715i 0.00307703i
\(218\) −38.4044 7.93817i −0.176167 0.0364136i
\(219\) −280.791 + 87.6627i −1.28215 + 0.400286i
\(220\) 201.009 + 86.8059i 0.913679 + 0.394572i
\(221\) −614.148 + 164.561i −2.77895 + 0.744618i
\(222\) −190.875 + 18.9166i −0.859799 + 0.0852098i
\(223\) −131.634 227.996i −0.590286 1.02241i −0.994194 0.107605i \(-0.965682\pi\)
0.403908 0.914800i \(-0.367652\pi\)
\(224\) 1.15085 + 3.85869i 0.00513774 + 0.0172263i
\(225\) −56.1045 + 118.565i −0.249353 + 0.526955i
\(226\) 6.64468 + 114.494i 0.0294012 + 0.506610i
\(227\) −85.8746 + 320.488i −0.378302 + 1.41184i 0.470157 + 0.882583i \(0.344197\pi\)
−0.848459 + 0.529260i \(0.822469\pi\)
\(228\) 164.319 132.974i 0.720698 0.583219i
\(229\) 116.694 31.2680i 0.509580 0.136542i 0.00513753 0.999987i \(-0.498365\pi\)
0.504443 + 0.863445i \(0.331698\pi\)
\(230\) 44.7312 + 135.085i 0.194483 + 0.587326i
\(231\) 3.42326 + 5.40705i 0.0148193 + 0.0234071i
\(232\) 24.9362 282.993i 0.107483 1.21980i
\(233\) 289.513 1.24254 0.621272 0.783595i \(-0.286616\pi\)
0.621272 + 0.783595i \(0.286616\pi\)
\(234\) −52.7046 + 429.127i −0.225233 + 1.83388i
\(235\) −35.9213 35.9213i −0.152857 0.152857i
\(236\) 220.787 + 32.4342i 0.935540 + 0.137433i
\(237\) −4.16193 + 4.51630i −0.0175609 + 0.0190561i
\(238\) 2.99103 5.95255i 0.0125673 0.0250107i
\(239\) −0.616801 0.356110i −0.00258076 0.00149000i 0.498709 0.866769i \(-0.333808\pi\)
−0.501290 + 0.865279i \(0.667141\pi\)
\(240\) −150.133 38.4803i −0.625555 0.160335i
\(241\) −14.9538 25.9007i −0.0620488 0.107472i 0.833332 0.552772i \(-0.186430\pi\)
−0.895381 + 0.445301i \(0.853097\pi\)
\(242\) −19.2808 332.226i −0.0796726 1.37283i
\(243\) 242.595 + 14.0234i 0.998333 + 0.0577094i
\(244\) −190.397 + 240.591i −0.780314 + 0.986027i
\(245\) 152.775 + 40.9358i 0.623570 + 0.167085i
\(246\) 55.0991 + 146.126i 0.223980 + 0.594007i
\(247\) −366.425 211.555i −1.48350 0.856500i
\(248\) −14.5439 + 39.8817i −0.0586447 + 0.160813i
\(249\) 267.845 10.9373i 1.07568 0.0439247i
\(250\) −51.7309 + 250.271i −0.206924 + 1.00108i
\(251\) 128.737 128.737i 0.512896 0.512896i −0.402516 0.915413i \(-0.631864\pi\)
0.915413 + 0.402516i \(0.131864\pi\)
\(252\) −2.99096 3.40219i −0.0118689 0.0135008i
\(253\) 264.144 264.144i 1.04405 1.04405i
\(254\) −102.365 155.708i −0.403011 0.613025i
\(255\) 137.159 + 216.643i 0.537879 + 0.849581i
\(256\) −15.3092 + 255.542i −0.0598017 + 0.998210i
\(257\) 158.342 + 91.4186i 0.616115 + 0.355714i 0.775355 0.631526i \(-0.217571\pi\)
−0.159240 + 0.987240i \(0.550904\pi\)
\(258\) −77.2871 107.716i −0.299562 0.417503i
\(259\) −3.88561 1.04114i −0.0150023 0.00401986i
\(260\) 35.8870 + 308.142i 0.138027 + 1.18516i
\(261\) 107.613 + 300.938i 0.412311 + 1.15302i
\(262\) 35.8314 + 31.9006i 0.136761 + 0.121758i
\(263\) 167.300 + 289.773i 0.636123 + 1.10180i 0.986276 + 0.165105i \(0.0527963\pi\)
−0.350153 + 0.936693i \(0.613870\pi\)
\(264\) 86.6928 + 397.520i 0.328382 + 1.50576i
\(265\) −77.4067 44.6908i −0.292101 0.168644i
\(266\) 4.20843 1.39355i 0.0158212 0.00523893i
\(267\) −68.8160 220.423i −0.257738 0.825556i
\(268\) 222.002 + 32.6127i 0.828367 + 0.121689i
\(269\) −87.1516 87.1516i −0.323984 0.323984i 0.526309 0.850293i \(-0.323575\pi\)
−0.850293 + 0.526309i \(0.823575\pi\)
\(270\) 171.530 31.2849i 0.635295 0.115870i
\(271\) −479.619 −1.76981 −0.884907 0.465769i \(-0.845778\pi\)
−0.884907 + 0.465769i \(0.845778\pi\)
\(272\) 308.306 290.389i 1.13348 1.06761i
\(273\) −4.20951 + 8.03098i −0.0154194 + 0.0294175i
\(274\) 56.2655 111.976i 0.205348 0.408671i
\(275\) 238.655 63.9474i 0.867837 0.232536i
\(276\) −155.494 + 213.872i −0.563385 + 0.774898i
\(277\) 82.0181 306.096i 0.296094 1.10504i −0.644250 0.764815i \(-0.722830\pi\)
0.940344 0.340224i \(-0.110503\pi\)
\(278\) 16.0821 + 14.3178i 0.0578493 + 0.0515030i
\(279\) −3.89377 47.5983i −0.0139562 0.170603i
\(280\) −2.66140 1.86600i −0.00950501 0.00666430i
\(281\) −33.8559 58.6402i −0.120484 0.208684i 0.799475 0.600700i \(-0.205111\pi\)
−0.919959 + 0.392016i \(0.871778\pi\)
\(282\) 15.3206 93.1473i 0.0543284 0.330310i
\(283\) 288.091 77.1937i 1.01799 0.272769i 0.289025 0.957322i \(-0.406669\pi\)
0.728964 + 0.684552i \(0.240002\pi\)
\(284\) 16.9854 39.3316i 0.0598077 0.138492i
\(285\) −37.4016 + 166.483i −0.131234 + 0.584151i
\(286\) 680.505 447.373i 2.37939 1.56424i
\(287\) 3.27519i 0.0114118i
\(288\) −104.541 268.356i −0.362989 0.931793i
\(289\) −411.696 −1.42455
\(290\) 125.975 + 191.622i 0.434396 + 0.660766i
\(291\) −79.9819 + 86.7920i −0.274852 + 0.298254i
\(292\) −360.068 155.495i −1.23311 0.532519i
\(293\) 68.5842 + 255.960i 0.234076 + 0.873582i 0.978563 + 0.205946i \(0.0660271\pi\)
−0.744488 + 0.667636i \(0.767306\pi\)
\(294\) 103.695 + 275.005i 0.352704 + 0.935390i
\(295\) −156.003 + 90.0683i −0.528824 + 0.305316i
\(296\) −209.405 146.821i −0.707448 0.496017i
\(297\) −275.559 365.481i −0.927809 1.23057i
\(298\) 47.6221 53.4902i 0.159806 0.179497i
\(299\) 511.242 + 136.987i 1.70984 + 0.458150i
\(300\) −159.795 + 71.0827i −0.532651 + 0.236942i
\(301\) −0.719613 2.68563i −0.00239074 0.00892236i
\(302\) −121.176 60.8886i −0.401246 0.201618i
\(303\) −17.0039 416.413i −0.0561185 1.37430i
\(304\) 281.718 + 8.43116i 0.926705 + 0.0277341i
\(305\) 247.666i 0.812020i
\(306\) −178.504 + 441.771i −0.583347 + 1.44370i
\(307\) 314.665 314.665i 1.02497 1.02497i 0.0252880 0.999680i \(-0.491950\pi\)
0.999680 0.0252880i \(-0.00805028\pi\)
\(308\) −1.24018 + 8.44219i −0.00402655 + 0.0274097i
\(309\) −29.6827 + 132.124i −0.0960604 + 0.427587i
\(310\) −10.7718 32.5301i −0.0347478 0.104936i
\(311\) −191.301 + 331.343i −0.615115 + 1.06541i 0.375249 + 0.926924i \(0.377557\pi\)
−0.990364 + 0.138486i \(0.955776\pi\)
\(312\) −426.356 + 387.991i −1.36653 + 1.24356i
\(313\) 7.19769 4.15559i 0.0229958 0.0132766i −0.488458 0.872587i \(-0.662440\pi\)
0.511454 + 0.859311i \(0.329107\pi\)
\(314\) 346.899 389.645i 1.10478 1.24091i
\(315\) 3.59750 + 0.655290i 0.0114206 + 0.00208028i
\(316\) −8.13376 + 0.947279i −0.0257397 + 0.00299772i
\(317\) 15.0158 56.0396i 0.0473684 0.176781i −0.938189 0.346124i \(-0.887498\pi\)
0.985557 + 0.169343i \(0.0541644\pi\)
\(318\) −16.3801 165.282i −0.0515099 0.519754i
\(319\) 301.004 521.355i 0.943587 1.63434i
\(320\) −118.318 169.424i −0.369743 0.529449i
\(321\) 277.458 + 145.432i 0.864355 + 0.453059i
\(322\) −4.63385 + 3.04635i −0.0143908 + 0.00946072i
\(323\) −329.715 329.715i −1.02079 1.02079i
\(324\) 233.051 + 225.085i 0.719294 + 0.694706i
\(325\) 247.536 + 247.536i 0.761650 + 0.761650i
\(326\) −386.903 79.9727i −1.18682 0.245315i
\(327\) 52.1009 + 27.3092i 0.159330 + 0.0835143i
\(328\) −71.3388 + 195.623i −0.217496 + 0.596411i
\(329\) 0.989873 1.71451i 0.00300873 0.00521128i
\(330\) −254.005 208.198i −0.769711 0.630904i
\(331\) −115.768 + 432.052i −0.349752 + 1.30529i 0.537208 + 0.843450i \(0.319479\pi\)
−0.886961 + 0.461844i \(0.847188\pi\)
\(332\) 280.277 + 221.804i 0.844209 + 0.668083i
\(333\) 283.058 + 51.5595i 0.850024 + 0.154833i
\(334\) −585.483 + 33.9786i −1.75294 + 0.101732i
\(335\) −156.861 + 90.5640i −0.468243 + 0.270340i
\(336\) −0.0657913 6.03962i −0.000195807 0.0179751i
\(337\) −58.1836 + 100.777i −0.172651 + 0.299041i −0.939346 0.342971i \(-0.888567\pi\)
0.766695 + 0.642012i \(0.221900\pi\)
\(338\) 729.018 + 366.316i 2.15686 + 1.08378i
\(339\) 37.7078 167.846i 0.111233 0.495122i
\(340\) −49.6900 + 338.252i −0.146147 + 0.994858i
\(341\) −63.6091 + 63.6091i −0.186537 + 0.186537i
\(342\) −291.873 + 123.881i −0.853430 + 0.362226i
\(343\) 12.3296i 0.0359464i
\(344\) 15.5158 176.084i 0.0451040 0.511871i
\(345\) −8.70871 213.270i −0.0252426 0.618173i
\(346\) −557.707 + 184.676i −1.61187 + 0.533745i
\(347\) −121.585 453.760i −0.350388 1.30767i −0.886190 0.463322i \(-0.846657\pi\)
0.535802 0.844343i \(-0.320009\pi\)
\(348\) −152.843 + 397.780i −0.439204 + 1.14305i
\(349\) −461.226 123.585i −1.32157 0.354112i −0.472001 0.881598i \(-0.656468\pi\)
−0.849564 + 0.527486i \(0.823135\pi\)
\(350\) −3.66170 + 0.212508i −0.0104620 + 0.000607165i
\(351\) 253.244 597.039i 0.721492 1.70097i
\(352\) −257.959 + 477.229i −0.732837 + 1.35576i
\(353\) −166.903 + 96.3615i −0.472813 + 0.272979i −0.717417 0.696644i \(-0.754676\pi\)
0.244604 + 0.969623i \(0.421342\pi\)
\(354\) −304.982 137.963i −0.861532 0.389725i
\(355\) 8.95082 + 33.4049i 0.0252136 + 0.0940983i
\(356\) 122.065 282.657i 0.342880 0.793980i
\(357\) −6.77169 + 7.34827i −0.0189683 + 0.0205834i
\(358\) 52.7832 255.361i 0.147439 0.713300i
\(359\) −351.048 −0.977851 −0.488925 0.872326i \(-0.662611\pi\)
−0.488925 + 0.872326i \(0.662611\pi\)
\(360\) 200.601 + 117.499i 0.557224 + 0.326386i
\(361\) 50.7021i 0.140449i
\(362\) −65.7612 + 318.148i −0.181661 + 0.878863i
\(363\) −109.416 + 487.038i −0.301422 + 1.34170i
\(364\) −11.2375 + 4.45896i −0.0308722 + 0.0122499i
\(365\) 305.811 81.9418i 0.837838 0.224498i
\(366\) 373.926 268.295i 1.02166 0.733047i
\(367\) −227.733 394.445i −0.620526 1.07478i −0.989388 0.145298i \(-0.953586\pi\)
0.368862 0.929484i \(-0.379747\pi\)
\(368\) −343.128 + 81.0222i −0.932414 + 0.220169i
\(369\) −19.0992 233.473i −0.0517594 0.632718i
\(370\) 206.097 11.9609i 0.557020 0.0323267i
\(371\) 0.901543 3.36460i 0.00243004 0.00906901i
\(372\) 37.4449 51.5030i 0.100658 0.138449i
\(373\) −568.591 + 152.354i −1.52437 + 0.408455i −0.921179 0.389139i \(-0.872773\pi\)
−0.603195 + 0.797594i \(0.706106\pi\)
\(374\) 852.000 282.126i 2.27807 0.754347i
\(375\) 177.966 339.528i 0.474577 0.905408i
\(376\) 96.4686 80.8445i 0.256565 0.215012i
\(377\) 852.962 2.26250
\(378\) 2.90779 + 6.14137i 0.00769257 + 0.0162470i
\(379\) −185.274 185.274i −0.488851 0.488851i 0.419093 0.907943i \(-0.362348\pi\)
−0.907943 + 0.419093i \(0.862348\pi\)
\(380\) −182.548 + 135.784i −0.480388 + 0.357326i
\(381\) 83.2990 + 266.813i 0.218633 + 0.700298i
\(382\) 43.6247 + 21.9205i 0.114201 + 0.0573834i
\(383\) −277.854 160.419i −0.725467 0.418848i 0.0912948 0.995824i \(-0.470899\pi\)
−0.816761 + 0.576976i \(0.804233\pi\)
\(384\) 127.623 362.172i 0.332351 0.943156i
\(385\) −3.44392 5.96505i −0.00894525 0.0154936i
\(386\) −457.961 + 26.5779i −1.18643 + 0.0688546i
\(387\) 66.9591 + 187.250i 0.173021 + 0.483849i
\(388\) −156.311 + 18.2043i −0.402862 + 0.0469184i
\(389\) −390.762 104.704i −1.00453 0.269163i −0.281188 0.959653i \(-0.590728\pi\)
−0.723342 + 0.690490i \(0.757395\pi\)
\(390\) 75.5226 459.167i 0.193648 1.17735i
\(391\) 505.142 + 291.644i 1.29192 + 0.745893i
\(392\) −134.258 + 368.157i −0.342494 + 0.939176i
\(393\) −38.4935 60.8006i −0.0979479 0.154709i
\(394\) 59.3117 + 12.2597i 0.150537 + 0.0311160i
\(395\) 4.67405 4.67405i 0.0118330 0.0118330i
\(396\) 39.1759 609.037i 0.0989291 1.53797i
\(397\) 314.667 314.667i 0.792612 0.792612i −0.189306 0.981918i \(-0.560624\pi\)
0.981918 + 0.189306i \(0.0606239\pi\)
\(398\) −258.405 + 169.879i −0.649259 + 0.426831i
\(399\) −6.64420 + 0.271311i −0.0166521 + 0.000679978i
\(400\) −223.338 67.0649i −0.558344 0.167662i
\(401\) 147.995 + 85.4451i 0.369065 + 0.213080i 0.673050 0.739597i \(-0.264984\pi\)
−0.303985 + 0.952677i \(0.598317\pi\)
\(402\) −306.661 138.722i −0.762838 0.345079i
\(403\) −123.113 32.9881i −0.305492 0.0818564i
\(404\) 344.833 435.741i 0.853548 1.07857i
\(405\) −260.270 25.7338i −0.642642 0.0635402i
\(406\) −5.94263 + 6.67489i −0.0146370 + 0.0164406i
\(407\) −270.975 469.342i −0.665785 1.15317i
\(408\) −564.521 + 291.405i −1.38363 + 0.714227i
\(409\) −263.338 152.038i −0.643858 0.371732i 0.142241 0.989832i \(-0.454569\pi\)
−0.786099 + 0.618100i \(0.787902\pi\)
\(410\) −52.8365 159.562i −0.128870 0.389177i
\(411\) −127.385 + 138.231i −0.309940 + 0.336329i
\(412\) −144.874 + 107.761i −0.351635 + 0.261556i
\(413\) −4.96398 4.96398i −0.0120193 0.0120193i
\(414\) 312.561 244.182i 0.754977 0.589813i
\(415\) −288.520 −0.695229
\(416\) −768.323 + 21.5582i −1.84693 + 0.0518227i
\(417\) −17.2769 27.2890i −0.0414315 0.0654411i
\(418\) 533.667 + 268.157i 1.27672 + 0.641523i
\(419\) 344.966 92.4334i 0.823308 0.220605i 0.177516 0.984118i \(-0.443194\pi\)
0.645792 + 0.763513i \(0.276527\pi\)
\(420\) 3.06706 + 3.79005i 0.00730253 + 0.00902392i
\(421\) −121.846 + 454.736i −0.289421 + 1.08013i 0.656127 + 0.754651i \(0.272194\pi\)
−0.945548 + 0.325483i \(0.894473\pi\)
\(422\) 172.314 193.546i 0.408326 0.458641i
\(423\) −60.5653 + 127.992i −0.143180 + 0.302581i
\(424\) 127.134 181.327i 0.299845 0.427657i
\(425\) 192.896 + 334.106i 0.453874 + 0.786133i
\(426\) −40.7383 + 49.7013i −0.0956299 + 0.116670i
\(427\) 9.32294 2.49807i 0.0218336 0.00585029i
\(428\) 154.050 + 388.237i 0.359930 + 0.907096i
\(429\) −1166.08 + 364.049i −2.71813 + 0.848598i
\(430\) 78.3841 + 119.231i 0.182289 + 0.277282i
\(431\) 5.42582i 0.0125889i −0.999980 0.00629445i \(-0.997996\pi\)
0.999980 0.00629445i \(-0.00200360\pi\)
\(432\) 39.9099 + 430.153i 0.0923841 + 0.995723i
\(433\) 229.597 0.530246 0.265123 0.964215i \(-0.414587\pi\)
0.265123 + 0.964215i \(0.414587\pi\)
\(434\) 1.11589 0.733599i 0.00257117 0.00169032i
\(435\) −102.512 328.354i −0.235659 0.754836i
\(436\) 28.9275 + 72.9030i 0.0663474 + 0.167209i
\(437\) 100.462 + 374.931i 0.229891 + 0.857966i
\(438\) 454.999 + 372.946i 1.03881 + 0.851475i
\(439\) 586.491 338.611i 1.33597 0.771323i 0.349763 0.936838i \(-0.386262\pi\)
0.986207 + 0.165515i \(0.0529287\pi\)
\(440\) −75.7728 431.299i −0.172211 0.980224i
\(441\) −35.9442 439.390i −0.0815062 0.996349i
\(442\) 949.762 + 845.569i 2.14878 + 1.91305i
\(443\) 321.722 + 86.2050i 0.726234 + 0.194594i 0.602951 0.797778i \(-0.293991\pi\)
0.123282 + 0.992372i \(0.460658\pi\)
\(444\) 241.323 + 298.208i 0.543520 + 0.671641i
\(445\) 64.3250 + 240.064i 0.144551 + 0.539470i
\(446\) −236.406 + 470.480i −0.530058 + 1.05489i
\(447\) −90.7649 + 57.4642i −0.203053 + 0.128555i
\(448\) 5.18424 6.16274i 0.0115720 0.0137561i
\(449\) 456.248i 1.01614i 0.861315 + 0.508072i \(0.169642\pi\)
−0.861315 + 0.508072i \(0.830358\pi\)
\(450\) 259.787 36.5019i 0.577303 0.0811153i
\(451\) −312.007 + 312.007i −0.691812 + 0.691812i
\(452\) 184.042 136.896i 0.407173 0.302867i
\(453\) 149.589 + 137.852i 0.330219 + 0.304309i
\(454\) 629.949 208.597i 1.38755 0.459466i
\(455\) 4.87956 8.45164i 0.0107243 0.0185750i
\(456\) −402.759 128.516i −0.883244 0.281834i
\(457\) 221.668 127.980i 0.485051 0.280044i −0.237468 0.971395i \(-0.576317\pi\)
0.722519 + 0.691351i \(0.242984\pi\)
\(458\) −180.463 160.666i −0.394025 0.350799i
\(459\) 439.871 563.313i 0.958324 1.22726i
\(460\) 176.610 223.169i 0.383934 0.485150i
\(461\) −56.7956 + 211.964i −0.123201 + 0.459792i −0.999769 0.0214855i \(-0.993160\pi\)
0.876568 + 0.481278i \(0.159827\pi\)
\(462\) 5.27524 11.6615i 0.0114183 0.0252414i
\(463\) −364.839 + 631.920i −0.787990 + 1.36484i 0.139207 + 0.990263i \(0.455545\pi\)
−0.927197 + 0.374575i \(0.877789\pi\)
\(464\) −500.335 + 269.243i −1.07831 + 0.580264i
\(465\) 2.09716 + 51.3580i 0.00451003 + 0.110447i
\(466\) −318.079 483.835i −0.682573 1.03827i
\(467\) −368.129 368.129i −0.788285 0.788285i 0.192928 0.981213i \(-0.438202\pi\)
−0.981213 + 0.192928i \(0.938202\pi\)
\(468\) 775.064 383.390i 1.65612 0.819209i
\(469\) −4.99129 4.99129i −0.0106424 0.0106424i
\(470\) −20.5661 + 99.4975i −0.0437577 + 0.211697i
\(471\) −661.170 + 418.593i −1.40376 + 0.888733i
\(472\) −188.369 404.615i −0.399086 0.857236i
\(473\) 187.291 324.397i 0.395963 0.685829i
\(474\) 12.1203 + 1.99350i 0.0255701 + 0.00420571i
\(475\) −66.4469 + 247.983i −0.139888 + 0.522070i
\(476\) −13.2341 + 1.54127i −0.0278027 + 0.00323797i
\(477\) −44.6461 + 245.104i −0.0935978 + 0.513845i
\(478\) 0.0825289 + 1.42205i 0.000172655 + 0.00297500i
\(479\) −341.192 + 196.987i −0.712300 + 0.411247i −0.811912 0.583780i \(-0.801573\pi\)
0.0996121 + 0.995026i \(0.468240\pi\)
\(480\) 100.639 + 293.180i 0.209664 + 0.610792i
\(481\) 383.933 664.992i 0.798198 1.38252i
\(482\) −26.8560 + 53.4471i −0.0557179 + 0.110886i
\(483\) 7.94031 2.47896i 0.0164396 0.00513242i
\(484\) −534.033 + 397.229i −1.10337 + 0.820721i
\(485\) 89.8235 89.8235i 0.185203 0.185203i
\(486\) −243.096 420.833i −0.500198 0.865911i
\(487\) 549.648i 1.12864i 0.825556 + 0.564320i \(0.190862\pi\)
−0.825556 + 0.564320i \(0.809138\pi\)
\(488\) 611.259 + 53.8617i 1.25258 + 0.110372i
\(489\) 524.888 + 275.125i 1.07339 + 0.562627i
\(490\) −99.4369 300.292i −0.202932 0.612842i
\(491\) 80.5657 + 300.675i 0.164085 + 0.612374i 0.998155 + 0.0607152i \(0.0193381\pi\)
−0.834070 + 0.551658i \(0.813995\pi\)
\(492\) 183.670 252.626i 0.373313 0.513467i
\(493\) 907.974 + 243.291i 1.84173 + 0.493491i
\(494\) 49.0281 + 844.800i 0.0992472 + 1.71012i
\(495\) 280.286 + 405.137i 0.566235 + 0.818459i
\(496\) 82.6295 19.5111i 0.166592 0.0393370i
\(497\) −1.16718 + 0.673874i −0.00234846 + 0.00135588i
\(498\) −312.552 435.607i −0.627615 0.874713i
\(499\) 18.9567 + 70.7474i 0.0379894 + 0.141778i 0.982316 0.187232i \(-0.0599516\pi\)
−0.944326 + 0.329010i \(0.893285\pi\)
\(500\) 475.089 188.513i 0.950178 0.377025i
\(501\) 858.309 + 192.825i 1.71319 + 0.384880i
\(502\) −356.585 73.7061i −0.710329 0.146825i
\(503\) −444.742 −0.884178 −0.442089 0.896971i \(-0.645763\pi\)
−0.442089 + 0.896971i \(0.645763\pi\)
\(504\) −2.39968 + 8.73639i −0.00476127 + 0.0173341i
\(505\) 448.556i 0.888229i
\(506\) −731.646 151.231i −1.44594 0.298876i
\(507\) −899.954 829.340i −1.77506 1.63578i
\(508\) −147.755 + 342.145i −0.290857 + 0.673513i
\(509\) 636.068 170.434i 1.24964 0.334841i 0.427444 0.904042i \(-0.359414\pi\)
0.822199 + 0.569201i \(0.192747\pi\)
\(510\) 211.362 467.241i 0.414436 0.916158i
\(511\) 6.16910 + 10.6852i 0.0120726 + 0.0209104i
\(512\) 443.882 255.172i 0.866958 0.498382i
\(513\) 472.052 58.0861i 0.920179 0.113228i
\(514\) −21.1863 365.060i −0.0412185 0.710234i
\(515\) 37.7226 140.783i 0.0732478 0.273364i
\(516\) −95.1020 + 247.507i −0.184306 + 0.479664i
\(517\) 257.630 69.0318i 0.498317 0.133524i
\(518\) 2.52904 + 7.63751i 0.00488231 + 0.0147442i
\(519\) 880.499 35.9545i 1.69653 0.0692765i
\(520\) 475.540 398.521i 0.914500 0.766387i
\(521\) 297.577 0.571164 0.285582 0.958354i \(-0.407813\pi\)
0.285582 + 0.958354i \(0.407813\pi\)
\(522\) 384.698 510.476i 0.736969 0.977923i
\(523\) 694.715 + 694.715i 1.32833 + 1.32833i 0.906830 + 0.421496i \(0.138495\pi\)
0.421496 + 0.906830i \(0.361505\pi\)
\(524\) 13.9454 94.9299i 0.0266134 0.181164i
\(525\) 5.36800 + 1.20596i 0.0102248 + 0.00229706i
\(526\) 300.461 597.958i 0.571219 1.13680i
\(527\) −121.644 70.2315i −0.230824 0.133267i
\(528\) 569.090 581.625i 1.07782 1.10156i
\(529\) 21.7235 + 37.6262i 0.0410652 + 0.0711271i
\(530\) 10.3571 + 178.463i 0.0195417 + 0.336722i
\(531\) 382.806 + 324.911i 0.720915 + 0.611886i
\(532\) −6.95260 5.50209i −0.0130688 0.0103423i
\(533\) −603.880 161.809i −1.13298 0.303582i
\(534\) −292.766 + 357.178i −0.548251 + 0.668873i
\(535\) −291.991 168.581i −0.545778 0.315105i
\(536\) −189.405 406.842i −0.353368 0.759033i
\(537\) −181.586 + 346.434i −0.338150 + 0.645128i
\(538\) −49.8971 + 241.399i −0.0927456 + 0.448697i
\(539\) −587.190 + 587.190i −1.08941 + 1.08941i
\(540\) −240.738 252.289i −0.445812 0.467202i
\(541\) 84.7467 84.7467i 0.156648 0.156648i −0.624431 0.781080i \(-0.714669\pi\)
0.781080 + 0.624431i \(0.214669\pi\)
\(542\) 526.944 + 801.542i 0.972221 + 1.47886i
\(543\) 226.234 431.613i 0.416637 0.794868i
\(544\) −824.026 196.201i −1.51475 0.360663i
\(545\) −54.8299 31.6561i −0.100605 0.0580845i
\(546\) 18.0463 1.78846i 0.0330518 0.00327557i
\(547\) 808.116 + 216.534i 1.47736 + 0.395858i 0.905448 0.424457i \(-0.139535\pi\)
0.571912 + 0.820315i \(0.306202\pi\)
\(548\) −248.952 + 28.9936i −0.454291 + 0.0529080i
\(549\) −650.021 + 232.443i −1.18401 + 0.423393i
\(550\) −369.073 328.584i −0.671041 0.597425i
\(551\) 312.769 + 541.733i 0.567640 + 0.983181i
\(552\) 528.260 + 24.8875i 0.956994 + 0.0450860i
\(553\) 0.223091 + 0.128801i 0.000403419 + 0.000232914i
\(554\) −601.659 + 199.230i −1.08603 + 0.359620i
\(555\) −302.135 67.8768i −0.544388 0.122301i
\(556\) 6.25908 42.6071i 0.0112573 0.0766315i
\(557\) −223.985 223.985i −0.402127 0.402127i 0.476855 0.878982i \(-0.341777\pi\)
−0.878982 + 0.476855i \(0.841777\pi\)
\(558\) −75.2684 + 58.8021i −0.134890 + 0.105380i
\(559\) 530.730 0.949427
\(560\) −0.194466 + 6.49787i −0.000347261 + 0.0116033i
\(561\) −1345.12 + 54.9271i −2.39772 + 0.0979092i
\(562\) −60.8032 + 121.006i −0.108191 + 0.215314i
\(563\) −597.193 + 160.017i −1.06073 + 0.284223i −0.746680 0.665183i \(-0.768354\pi\)
−0.314053 + 0.949406i \(0.601687\pi\)
\(564\) −172.500 + 76.7344i −0.305852 + 0.136054i
\(565\) −47.9215 + 178.845i −0.0848168 + 0.316541i
\(566\) −445.523 396.648i −0.787144 0.700791i
\(567\) −1.65650 10.0570i −0.00292152 0.0177371i
\(568\) −84.3925 + 14.8265i −0.148578 + 0.0261030i
\(569\) −538.550 932.795i −0.946485 1.63936i −0.752751 0.658305i \(-0.771274\pi\)
−0.193733 0.981054i \(-0.562060\pi\)
\(570\) 319.319 120.405i 0.560209 0.211236i
\(571\) −51.6444 + 13.8381i −0.0904455 + 0.0242348i −0.303758 0.952749i \(-0.598241\pi\)
0.213313 + 0.976984i \(0.431575\pi\)
\(572\) −1495.30 645.747i −2.61417 1.12893i
\(573\) −53.8536 49.6280i −0.0939853 0.0866108i
\(574\) 5.47351 3.59835i 0.00953572 0.00626891i
\(575\) 321.150i 0.558521i
\(576\) −333.622 + 469.545i −0.579205 + 0.815182i
\(577\) −404.152 −0.700436 −0.350218 0.936668i \(-0.613893\pi\)
−0.350218 + 0.936668i \(0.613893\pi\)
\(578\) 452.319 + 688.028i 0.782559 + 1.19036i
\(579\) 671.364 + 150.827i 1.15952 + 0.260495i
\(580\) 181.835 421.060i 0.313508 0.725965i
\(581\) −2.91014 10.8608i −0.00500885 0.0186933i
\(582\) 232.921 + 38.3102i 0.400208 + 0.0658251i
\(583\) 406.410 234.641i 0.697101 0.402472i
\(584\) 135.732 + 772.586i 0.232418 + 1.32292i
\(585\) −298.555 + 630.933i −0.510351 + 1.07852i
\(586\) 352.409 395.833i 0.601381 0.675484i
\(587\) −490.901 131.537i −0.836289 0.224083i −0.184833 0.982770i \(-0.559175\pi\)
−0.651455 + 0.758687i \(0.725841\pi\)
\(588\) 345.662 475.435i 0.587860 0.808563i
\(589\) −24.1926 90.2880i −0.0410740 0.153290i
\(590\) 321.918 + 161.757i 0.545625 + 0.274165i
\(591\) −80.4647 42.1763i −0.136150 0.0713643i
\(592\) −15.3010 + 511.266i −0.0258462 + 0.863624i
\(593\) 384.676i 0.648695i 0.945938 + 0.324347i \(0.105145\pi\)
−0.945938 + 0.324347i \(0.894855\pi\)
\(594\) −308.043 + 862.059i −0.518591 + 1.45128i
\(595\) 7.60493 7.60493i 0.0127814 0.0127814i
\(596\) −141.714 20.8181i −0.237775 0.0349297i
\(597\) 442.789 138.238i 0.741690 0.231555i
\(598\) −332.754 1004.89i −0.556445 1.68042i
\(599\) 326.242 565.067i 0.544644 0.943351i −0.453985 0.891009i \(-0.649998\pi\)
0.998629 0.0523418i \(-0.0166685\pi\)
\(600\) 294.356 + 188.954i 0.490594 + 0.314923i
\(601\) −31.4347 + 18.1488i −0.0523040 + 0.0301977i −0.525924 0.850532i \(-0.676280\pi\)
0.473620 + 0.880729i \(0.342947\pi\)
\(602\) −3.69762 + 4.15325i −0.00614222 + 0.00689908i
\(603\) 384.913 + 326.699i 0.638329 + 0.541790i
\(604\) 31.3758 + 269.407i 0.0519468 + 0.446038i
\(605\) 139.053 518.954i 0.229840 0.857775i
\(606\) −677.229 + 485.918i −1.11754 + 0.801845i
\(607\) −411.210 + 712.236i −0.677446 + 1.17337i 0.298302 + 0.954472i \(0.403580\pi\)
−0.975748 + 0.218899i \(0.929754\pi\)
\(608\) −295.426 480.072i −0.485897 0.789592i
\(609\) 11.3263 7.17079i 0.0185982 0.0117747i
\(610\) −413.900 + 272.104i −0.678525 + 0.446071i
\(611\) 267.218 + 267.218i 0.437345 + 0.437345i
\(612\) 934.407 187.045i 1.52681 0.305628i
\(613\) −346.639 346.639i −0.565479 0.565479i 0.365380 0.930859i \(-0.380939\pi\)
−0.930859 + 0.365380i \(0.880939\pi\)
\(614\) −871.583 180.156i −1.41952 0.293414i
\(615\) 10.2867 + 251.915i 0.0167264 + 0.409617i
\(616\) 15.4712 7.20261i 0.0251155 0.0116925i
\(617\) −280.986 + 486.683i −0.455407 + 0.788789i −0.998712 0.0507474i \(-0.983840\pi\)
0.543304 + 0.839536i \(0.317173\pi\)
\(618\) 253.418 95.5555i 0.410062 0.154621i
\(619\) 91.3227 340.821i 0.147533 0.550599i −0.852097 0.523384i \(-0.824669\pi\)
0.999630 0.0272153i \(-0.00866396\pi\)
\(620\) −42.5297 + 53.7418i −0.0685964 + 0.0866803i
\(621\) −551.572 + 223.017i −0.888199 + 0.359126i
\(622\) 763.918 44.3341i 1.22816 0.0712767i
\(623\) −8.38797 + 4.84280i −0.0134638 + 0.00777335i
\(624\) 1116.84 + 286.254i 1.78980 + 0.458740i
\(625\) −24.1147 + 41.7679i −0.0385835 + 0.0668286i
\(626\) −14.8527 7.46318i −0.0237264 0.0119220i
\(627\) −658.799 607.107i −1.05072 0.968272i
\(628\) −1032.30 151.648i −1.64380 0.241478i
\(629\) 598.371 598.371i 0.951306 0.951306i
\(630\) −2.85734 6.73209i −0.00453546 0.0106859i
\(631\) 645.121i 1.02238i 0.859468 + 0.511189i \(0.170795\pi\)
−0.859468 + 0.511189i \(0.829205\pi\)
\(632\) 10.5194 + 12.5524i 0.0166447 + 0.0198614i
\(633\) −328.419 + 207.926i −0.518830 + 0.328477i
\(634\) −110.151 + 36.4747i −0.173740 + 0.0575311i
\(635\) −77.8629 290.588i −0.122619 0.457619i
\(636\) −258.223 + 208.965i −0.406011 + 0.328561i
\(637\) −1136.49 304.521i −1.78412 0.478054i
\(638\) −1201.99 + 69.7580i −1.88400 + 0.109338i
\(639\) 79.2735 54.8438i 0.124059 0.0858275i
\(640\) −153.149 + 383.874i −0.239296 + 0.599803i
\(641\) 81.9269 47.3005i 0.127811 0.0737917i −0.434731 0.900560i \(-0.643157\pi\)
0.562542 + 0.826768i \(0.309823\pi\)
\(642\) −61.7887 623.471i −0.0962440 0.971139i
\(643\) 327.964 + 1223.98i 0.510053 + 1.90354i 0.419776 + 0.907628i \(0.362109\pi\)
0.0902770 + 0.995917i \(0.471225\pi\)
\(644\) 10.1821 + 4.39716i 0.0158108 + 0.00682789i
\(645\) −63.7848 204.308i −0.0988912 0.316757i
\(646\) −188.773 + 913.271i −0.292218 + 1.41373i
\(647\) −778.698 −1.20355 −0.601776 0.798665i \(-0.705540\pi\)
−0.601776 + 0.798665i \(0.705540\pi\)
\(648\) 120.116 636.770i 0.185364 0.982670i
\(649\) 945.776i 1.45728i
\(650\) 141.723 685.645i 0.218035 1.05484i
\(651\) −1.91212 + 0.596964i −0.00293721 + 0.000916995i
\(652\) 291.428 + 734.457i 0.446976 + 1.12647i
\(653\) −500.507 + 134.110i −0.766473 + 0.205376i −0.620813 0.783959i \(-0.713197\pi\)
−0.145660 + 0.989335i \(0.546531\pi\)
\(654\) −11.6026 117.075i −0.0177410 0.179014i
\(655\) 38.7258 + 67.0751i 0.0591234 + 0.102405i
\(656\) 405.303 95.7035i 0.617841 0.145889i
\(657\) −502.077 725.722i −0.764196 1.10460i
\(658\) −3.95284 + 0.229404i −0.00600736 + 0.000348638i
\(659\) 289.729 1081.28i 0.439649 1.64079i −0.290039 0.957015i \(-0.593668\pi\)
0.729689 0.683779i \(-0.239665\pi\)
\(660\) −68.8743 + 653.235i −0.104355 + 0.989751i
\(661\) 84.5409 22.6527i 0.127899 0.0342703i −0.194302 0.980942i \(-0.562244\pi\)
0.322200 + 0.946671i \(0.395577\pi\)
\(662\) 849.238 281.211i 1.28284 0.424791i
\(663\) −1020.32 1611.60i −1.53895 2.43078i
\(664\) 62.7464 712.090i 0.0944976 1.07242i
\(665\) 7.15706 0.0107625
\(666\) −224.821 529.695i −0.337570 0.795337i
\(667\) −553.310 553.310i −0.829550 0.829550i
\(668\) 700.038 + 941.130i 1.04796 + 1.40888i
\(669\) 535.224 580.796i 0.800035 0.868155i
\(670\) 323.690 + 162.647i 0.483119 + 0.242757i
\(671\) 1126.12 + 650.163i 1.67827 + 0.968947i
\(672\) −10.0211 + 6.74551i −0.0149124 + 0.0100380i
\(673\) 285.489 + 494.482i 0.424204 + 0.734743i 0.996346 0.0854120i \(-0.0272206\pi\)
−0.572142 + 0.820155i \(0.693887\pi\)
\(674\) 232.343 13.4841i 0.344723 0.0200061i
\(675\) −389.692 54.6637i −0.577322 0.0809832i
\(676\) −188.762 1620.80i −0.279234 2.39763i
\(677\) −2.33053 0.624464i −0.00344244 0.000922398i 0.257097 0.966385i \(-0.417234\pi\)
−0.260540 + 0.965463i \(0.583901\pi\)
\(678\) −321.934 + 121.391i −0.474829 + 0.179042i
\(679\) 4.28725 + 2.47524i 0.00631406 + 0.00364542i
\(680\) 619.881 288.586i 0.911589 0.424390i
\(681\) −994.553 + 40.6118i −1.46043 + 0.0596356i
\(682\) 176.189 + 36.4183i 0.258342 + 0.0533992i
\(683\) 696.716 696.716i 1.02008 1.02008i 0.0202881 0.999794i \(-0.493542\pi\)
0.999794 0.0202881i \(-0.00645833\pi\)
\(684\) 527.704 + 351.674i 0.771497 + 0.514144i
\(685\) 143.060 143.060i 0.208846 0.208846i
\(686\) 20.6053 13.5462i 0.0300369 0.0197467i
\(687\) 193.871 + 306.220i 0.282199 + 0.445734i
\(688\) −311.318 + 167.528i −0.452498 + 0.243500i
\(689\) 575.826 + 332.453i 0.835742 + 0.482516i
\(690\) −346.849 + 248.867i −0.502680 + 0.360677i
\(691\) −259.444 69.5177i −0.375461 0.100605i 0.0661532 0.997809i \(-0.478927\pi\)
−0.441614 + 0.897205i \(0.645594\pi\)
\(692\) 921.368 + 729.145i 1.33146 + 1.05368i
\(693\) −12.4236 + 14.6373i −0.0179272 + 0.0211216i
\(694\) −624.744 + 701.726i −0.900207 + 1.01113i
\(695\) 17.3812 + 30.1051i 0.0250089 + 0.0433167i
\(696\) 832.696 181.598i 1.19640 0.260916i
\(697\) −596.675 344.490i −0.856062 0.494247i
\(698\) 300.200 + 906.583i 0.430086 + 1.29883i
\(699\) 258.836 + 829.073i 0.370295 + 1.18608i
\(700\) 4.37815 + 5.88598i 0.00625450 + 0.00840854i
\(701\) 491.487 + 491.487i 0.701123 + 0.701123i 0.964652 0.263529i \(-0.0848864\pi\)
−0.263529 + 0.964652i \(0.584886\pi\)
\(702\) −1276.01 + 232.728i −1.81767 + 0.331521i
\(703\) 563.132 0.801041
\(704\) 1080.96 93.2158i 1.53545 0.132409i
\(705\) 70.7521 134.982i 0.100358 0.191464i
\(706\) 344.411 + 173.059i 0.487834 + 0.245126i
\(707\) −16.8851 + 4.52434i −0.0238827 + 0.00639935i
\(708\) 104.512 + 661.263i 0.147615 + 0.933988i
\(709\) 362.662 1353.47i 0.511512 1.90899i 0.107588 0.994196i \(-0.465687\pi\)
0.403924 0.914793i \(-0.367646\pi\)
\(710\) 45.9924 51.6596i 0.0647780 0.0727601i
\(711\) −16.6542 7.88070i −0.0234236 0.0110840i
\(712\) −606.487 + 106.551i −0.851807 + 0.149650i
\(713\) 58.4635 + 101.262i 0.0819966 + 0.142022i
\(714\) 19.7203 + 3.24354i 0.0276195 + 0.00454278i
\(715\) 1269.98 340.291i 1.77620 0.475931i
\(716\) −484.752 + 192.347i −0.677028 + 0.268641i
\(717\) 0.468343 2.08470i 0.000653198 0.00290753i
\(718\) 385.687 + 586.673i 0.537168 + 0.817094i
\(719\) 30.3572i 0.0422215i −0.999777 0.0211107i \(-0.993280\pi\)
0.999777 0.0211107i \(-0.00672025\pi\)
\(720\) −24.0297 464.337i −0.0333746 0.644912i
\(721\) 5.67999 0.00787794
\(722\) 84.7336 55.7050i 0.117359 0.0771537i
\(723\) 60.8021 65.9791i 0.0840970 0.0912574i
\(724\) 603.941 239.640i 0.834172 0.330995i
\(725\) −133.952 499.917i −0.184762 0.689541i
\(726\) 934.152 352.237i 1.28671 0.485175i
\(727\) 80.1769 46.2902i 0.110285 0.0636729i −0.443843 0.896105i \(-0.646385\pi\)
0.554128 + 0.832432i \(0.313052\pi\)
\(728\) 19.7981 + 13.8812i 0.0271952 + 0.0190675i
\(729\) 176.731 + 707.253i 0.242430 + 0.970169i
\(730\) −472.927 421.045i −0.647845 0.576774i
\(731\) 564.959 + 151.380i 0.772858 + 0.207087i
\(732\) −859.198 330.138i −1.17377 0.451009i
\(733\) −128.130 478.189i −0.174803 0.652373i −0.996585 0.0825713i \(-0.973687\pi\)
0.821782 0.569801i \(-0.192980\pi\)
\(734\) −408.994 + 813.954i −0.557213 + 1.10893i
\(735\) 19.3594 + 474.096i 0.0263393 + 0.645029i
\(736\) 512.390 + 484.420i 0.696182 + 0.658180i
\(737\) 950.981i 1.29034i
\(738\) −369.197 + 288.429i −0.500267 + 0.390825i
\(739\) −736.411 + 736.411i −0.996497 + 0.996497i −0.999994 0.00349738i \(-0.998887\pi\)
0.00349738 + 0.999994i \(0.498887\pi\)
\(740\) −246.422 331.289i −0.333003 0.447688i
\(741\) 278.229 1238.46i 0.375478 1.67134i
\(742\) −6.61344 + 2.18993i −0.00891299 + 0.00295139i
\(743\) 182.739 316.514i 0.245948 0.425995i −0.716450 0.697639i \(-0.754234\pi\)
0.962398 + 0.271644i \(0.0875674\pi\)
\(744\) −127.212 5.99321i −0.170983 0.00805539i
\(745\) 100.132 57.8110i 0.134405 0.0775987i
\(746\) 879.309 + 782.846i 1.17870 + 1.04939i
\(747\) 270.785 + 757.246i 0.362497 + 1.01372i
\(748\) −1407.56 1113.90i −1.88176 1.48917i
\(749\) 3.40077 12.6919i 0.00454042 0.0169451i
\(750\) −762.947 + 75.6113i −1.01726 + 0.100815i
\(751\) −4.41811 + 7.65240i −0.00588297 + 0.0101896i −0.868952 0.494897i \(-0.835206\pi\)
0.863069 + 0.505086i \(0.168539\pi\)
\(752\) −241.095 72.3971i −0.320605 0.0962728i
\(753\) 483.758 + 253.566i 0.642441 + 0.336741i
\(754\) −937.125 1425.47i −1.24287 1.89055i
\(755\) −154.814 154.814i −0.205052 0.205052i
\(756\) 7.06877 11.6069i 0.00935023 0.0153530i
\(757\) 308.653 + 308.653i 0.407732 + 0.407732i 0.880947 0.473215i \(-0.156907\pi\)
−0.473215 + 0.880947i \(0.656907\pi\)
\(758\) −106.076 + 513.187i −0.139941 + 0.677028i
\(759\) 992.581 + 520.270i 1.30775 + 0.685468i
\(760\) 427.482 + 155.892i 0.562477 + 0.205121i
\(761\) −71.5261 + 123.887i −0.0939896 + 0.162795i −0.909186 0.416389i \(-0.863295\pi\)
0.815197 + 0.579184i \(0.196629\pi\)
\(762\) 354.381 432.350i 0.465068 0.567388i
\(763\) 0.638595 2.38327i 0.000836953 0.00312355i
\(764\) −11.2956 96.9891i −0.0147848 0.126949i
\(765\) −497.772 + 586.468i −0.650683 + 0.766625i
\(766\) 37.1772 + 640.598i 0.0485342 + 0.836290i
\(767\) 1160.50 670.016i 1.51304 0.873554i
\(768\) −745.478 + 184.624i −0.970675 + 0.240396i
\(769\) −66.1593 + 114.591i −0.0860329 + 0.149013i −0.905831 0.423639i \(-0.860752\pi\)
0.819798 + 0.572653i \(0.194086\pi\)
\(770\) −6.18507 + 12.3091i −0.00803256 + 0.0159859i
\(771\) −120.230 + 535.172i −0.155941 + 0.694128i
\(772\) 547.566 + 736.146i 0.709282 + 0.953557i
\(773\) 218.705 218.705i 0.282930 0.282930i −0.551346