Properties

Label 240.2.bl.a.109.7
Level $240$
Weight $2$
Character 240.109
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 109.7
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.903247 + 1.08818i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-0.368289 - 1.96580i) q^{4} +(0.770325 + 2.09919i) q^{5} +(-0.130770 - 1.40815i) q^{6} -3.05002 q^{7} +(2.47181 + 1.37484i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(-0.903247 + 1.08818i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-0.368289 - 1.96580i) q^{4} +(0.770325 + 2.09919i) q^{5} +(-0.130770 - 1.40815i) q^{6} -3.05002 q^{7} +(2.47181 + 1.37484i) q^{8} -1.00000i q^{9} +(-2.98010 - 1.05783i) q^{10} +(-1.80989 + 1.80989i) q^{11} +(1.65045 + 1.12961i) q^{12} +(-2.47057 + 2.47057i) q^{13} +(2.75492 - 3.31898i) q^{14} +(-2.02905 - 0.939649i) q^{15} +(-3.72873 + 1.44796i) q^{16} -3.66653i q^{17} +(1.08818 + 0.903247i) q^{18} +(-2.31596 - 2.31596i) q^{19} +(3.84288 - 2.28741i) q^{20} +(2.15669 - 2.15669i) q^{21} +(-0.334715 - 3.60427i) q^{22} -4.86336 q^{23} +(-2.71999 + 0.775675i) q^{24} +(-3.81320 + 3.23412i) q^{25} +(-0.456900 - 4.91998i) q^{26} +(0.707107 + 0.707107i) q^{27} +(1.12329 + 5.99573i) q^{28} +(4.74672 + 4.74672i) q^{29} +(2.85525 - 1.35925i) q^{30} +1.86172 q^{31} +(1.79231 - 5.36541i) q^{32} -2.55957i q^{33} +(3.98986 + 3.31179i) q^{34} +(-2.34951 - 6.40257i) q^{35} +(-1.96580 + 0.368289i) q^{36} +(-5.40092 - 5.40092i) q^{37} +(4.61208 - 0.428306i) q^{38} -3.49392i q^{39} +(-0.981948 + 6.24786i) q^{40} +6.47424i q^{41} +(0.398851 + 4.29490i) q^{42} +(4.19382 + 4.19382i) q^{43} +(4.22444 + 2.89131i) q^{44} +(2.09919 - 0.770325i) q^{45} +(4.39282 - 5.29223i) q^{46} +8.24387i q^{47} +(1.61274 - 3.66047i) q^{48} +2.30263 q^{49} +(-0.0750542 - 7.07067i) q^{50} +(2.59263 + 2.59263i) q^{51} +(5.76653 + 3.94676i) q^{52} +(9.99761 + 9.99761i) q^{53} +(-1.40815 + 0.130770i) q^{54} +(-5.19350 - 2.40510i) q^{55} +(-7.53906 - 4.19328i) q^{56} +3.27526 q^{57} +(-9.45277 + 0.877843i) q^{58} +(-2.47155 + 2.47155i) q^{59} +(-1.09988 + 4.33477i) q^{60} +(8.01822 + 8.01822i) q^{61} +(-1.68160 + 2.02590i) q^{62} +3.05002i q^{63} +(4.21965 + 6.79666i) q^{64} +(-7.08935 - 3.28306i) q^{65} +(2.78528 + 2.31192i) q^{66} +(8.60064 - 8.60064i) q^{67} +(-7.20766 + 1.35034i) q^{68} +(3.43891 - 3.43891i) q^{69} +(9.08937 + 3.22641i) q^{70} +6.63653i q^{71} +(1.37484 - 2.47181i) q^{72} -2.70041 q^{73} +(10.7556 - 0.998828i) q^{74} +(0.409472 - 4.98321i) q^{75} +(-3.69977 + 5.40565i) q^{76} +(5.52020 - 5.52020i) q^{77} +(3.80203 + 3.15587i) q^{78} -10.9690 q^{79} +(-5.91188 - 6.71190i) q^{80} -1.00000 q^{81} +(-7.04516 - 5.84784i) q^{82} +(-3.65688 + 3.65688i) q^{83} +(-5.03390 - 3.44533i) q^{84} +(7.69675 - 2.82442i) q^{85} +(-8.35170 + 0.775591i) q^{86} -6.71288 q^{87} +(-6.96199 + 1.98539i) q^{88} -13.1530i q^{89} +(-1.05783 + 2.98010i) q^{90} +(7.53530 - 7.53530i) q^{91} +(1.79112 + 9.56038i) q^{92} +(-1.31644 + 1.31644i) q^{93} +(-8.97085 - 7.44625i) q^{94} +(3.07760 - 6.64569i) q^{95} +(2.52656 + 5.06127i) q^{96} -12.4932i q^{97} +(-2.07985 + 2.50569i) q^{98} +(1.80989 + 1.80989i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.903247 + 1.08818i −0.638692 + 0.769462i
\(3\) −0.707107 + 0.707107i −0.408248 + 0.408248i
\(4\) −0.368289 1.96580i −0.184144 0.982899i
\(5\) 0.770325 + 2.09919i 0.344500 + 0.938786i
\(6\) −0.130770 1.40815i −0.0533866 0.574877i
\(7\) −3.05002 −1.15280 −0.576400 0.817168i \(-0.695543\pi\)
−0.576400 + 0.817168i \(0.695543\pi\)
\(8\) 2.47181 + 1.37484i 0.873915 + 0.486078i
\(9\) 1.00000i 0.333333i
\(10\) −2.98010 1.05783i −0.942390 0.334516i
\(11\) −1.80989 + 1.80989i −0.545702 + 0.545702i −0.925195 0.379493i \(-0.876099\pi\)
0.379493 + 0.925195i \(0.376099\pi\)
\(12\) 1.65045 + 1.12961i 0.476444 + 0.326090i
\(13\) −2.47057 + 2.47057i −0.685214 + 0.685214i −0.961170 0.275956i \(-0.911005\pi\)
0.275956 + 0.961170i \(0.411005\pi\)
\(14\) 2.75492 3.31898i 0.736284 0.887036i
\(15\) −2.02905 0.939649i −0.523899 0.242616i
\(16\) −3.72873 + 1.44796i −0.932182 + 0.361991i
\(17\) 3.66653i 0.889265i −0.895713 0.444632i \(-0.853334\pi\)
0.895713 0.444632i \(-0.146666\pi\)
\(18\) 1.08818 + 0.903247i 0.256487 + 0.212897i
\(19\) −2.31596 2.31596i −0.531318 0.531318i 0.389647 0.920964i \(-0.372597\pi\)
−0.920964 + 0.389647i \(0.872597\pi\)
\(20\) 3.84288 2.28741i 0.859295 0.511481i
\(21\) 2.15669 2.15669i 0.470629 0.470629i
\(22\) −0.334715 3.60427i −0.0713615 0.768433i
\(23\) −4.86336 −1.01408 −0.507040 0.861922i \(-0.669260\pi\)
−0.507040 + 0.861922i \(0.669260\pi\)
\(24\) −2.71999 + 0.775675i −0.555215 + 0.158334i
\(25\) −3.81320 + 3.23412i −0.762640 + 0.646824i
\(26\) −0.456900 4.91998i −0.0896054 0.964887i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 1.12329 + 5.99573i 0.212282 + 1.13309i
\(29\) 4.74672 + 4.74672i 0.881444 + 0.881444i 0.993681 0.112237i \(-0.0358017\pi\)
−0.112237 + 0.993681i \(0.535802\pi\)
\(30\) 2.85525 1.35925i 0.521295 0.248164i
\(31\) 1.86172 0.334375 0.167188 0.985925i \(-0.446531\pi\)
0.167188 + 0.985925i \(0.446531\pi\)
\(32\) 1.79231 5.36541i 0.316839 0.948479i
\(33\) 2.55957i 0.445564i
\(34\) 3.98986 + 3.31179i 0.684256 + 0.567966i
\(35\) −2.34951 6.40257i −0.397139 1.08223i
\(36\) −1.96580 + 0.368289i −0.327633 + 0.0613815i
\(37\) −5.40092 5.40092i −0.887905 0.887905i 0.106416 0.994322i \(-0.466062\pi\)
−0.994322 + 0.106416i \(0.966062\pi\)
\(38\) 4.61208 0.428306i 0.748178 0.0694804i
\(39\) 3.49392i 0.559475i
\(40\) −0.981948 + 6.24786i −0.155260 + 0.987874i
\(41\) 6.47424i 1.01111i 0.862796 + 0.505553i \(0.168712\pi\)
−0.862796 + 0.505553i \(0.831288\pi\)
\(42\) 0.398851 + 4.29490i 0.0615441 + 0.662718i
\(43\) 4.19382 + 4.19382i 0.639551 + 0.639551i 0.950445 0.310893i \(-0.100628\pi\)
−0.310893 + 0.950445i \(0.600628\pi\)
\(44\) 4.22444 + 2.89131i 0.636858 + 0.435882i
\(45\) 2.09919 0.770325i 0.312929 0.114833i
\(46\) 4.39282 5.29223i 0.647685 0.780297i
\(47\) 8.24387i 1.20249i 0.799064 + 0.601246i \(0.205329\pi\)
−0.799064 + 0.601246i \(0.794671\pi\)
\(48\) 1.61274 3.66047i 0.232779 0.528344i
\(49\) 2.30263 0.328947
\(50\) −0.0750542 7.07067i −0.0106143 0.999944i
\(51\) 2.59263 + 2.59263i 0.363041 + 0.363041i
\(52\) 5.76653 + 3.94676i 0.799674 + 0.547318i
\(53\) 9.99761 + 9.99761i 1.37328 + 1.37328i 0.855539 + 0.517739i \(0.173226\pi\)
0.517739 + 0.855539i \(0.326774\pi\)
\(54\) −1.40815 + 0.130770i −0.191626 + 0.0177955i
\(55\) −5.19350 2.40510i −0.700292 0.324303i
\(56\) −7.53906 4.19328i −1.00745 0.560351i
\(57\) 3.27526 0.433819
\(58\) −9.45277 + 0.877843i −1.24121 + 0.115266i
\(59\) −2.47155 + 2.47155i −0.321769 + 0.321769i −0.849445 0.527676i \(-0.823063\pi\)
0.527676 + 0.849445i \(0.323063\pi\)
\(60\) −1.09988 + 4.33477i −0.141994 + 0.559617i
\(61\) 8.01822 + 8.01822i 1.02663 + 1.02663i 0.999636 + 0.0269927i \(0.00859310\pi\)
0.0269927 + 0.999636i \(0.491407\pi\)
\(62\) −1.68160 + 2.02590i −0.213563 + 0.257289i
\(63\) 3.05002i 0.384267i
\(64\) 4.21965 + 6.79666i 0.527456 + 0.849582i
\(65\) −7.08935 3.28306i −0.879325 0.407213i
\(66\) 2.78528 + 2.31192i 0.342845 + 0.284578i
\(67\) 8.60064 8.60064i 1.05074 1.05074i 0.0520936 0.998642i \(-0.483411\pi\)
0.998642 0.0520936i \(-0.0165894\pi\)
\(68\) −7.20766 + 1.35034i −0.874058 + 0.163753i
\(69\) 3.43891 3.43891i 0.413997 0.413997i
\(70\) 9.08937 + 3.22641i 1.08639 + 0.385630i
\(71\) 6.63653i 0.787611i 0.919194 + 0.393806i \(0.128842\pi\)
−0.919194 + 0.393806i \(0.871158\pi\)
\(72\) 1.37484 2.47181i 0.162026 0.291305i
\(73\) −2.70041 −0.316059 −0.158030 0.987434i \(-0.550514\pi\)
−0.158030 + 0.987434i \(0.550514\pi\)
\(74\) 10.7556 0.998828i 1.25031 0.116111i
\(75\) 0.409472 4.98321i 0.0472817 0.575411i
\(76\) −3.69977 + 5.40565i −0.424393 + 0.620071i
\(77\) 5.52020 5.52020i 0.629085 0.629085i
\(78\) 3.80203 + 3.15587i 0.430495 + 0.357332i
\(79\) −10.9690 −1.23411 −0.617054 0.786921i \(-0.711674\pi\)
−0.617054 + 0.786921i \(0.711674\pi\)
\(80\) −5.91188 6.71190i −0.660968 0.750414i
\(81\) −1.00000 −0.111111
\(82\) −7.04516 5.84784i −0.778008 0.645786i
\(83\) −3.65688 + 3.65688i −0.401395 + 0.401395i −0.878724 0.477330i \(-0.841605\pi\)
0.477330 + 0.878724i \(0.341605\pi\)
\(84\) −5.03390 3.44533i −0.549244 0.375917i
\(85\) 7.69675 2.82442i 0.834830 0.306352i
\(86\) −8.35170 + 0.775591i −0.900587 + 0.0836341i
\(87\) −6.71288 −0.719696
\(88\) −6.96199 + 1.98539i −0.742151 + 0.211644i
\(89\) 13.1530i 1.39421i −0.716968 0.697106i \(-0.754471\pi\)
0.716968 0.697106i \(-0.245529\pi\)
\(90\) −1.05783 + 2.98010i −0.111505 + 0.314130i
\(91\) 7.53530 7.53530i 0.789914 0.789914i
\(92\) 1.79112 + 9.56038i 0.186737 + 0.996739i
\(93\) −1.31644 + 1.31644i −0.136508 + 0.136508i
\(94\) −8.97085 7.44625i −0.925272 0.768022i
\(95\) 3.07760 6.64569i 0.315755 0.681833i
\(96\) 2.52656 + 5.06127i 0.257866 + 0.516564i
\(97\) 12.4932i 1.26849i −0.773131 0.634247i \(-0.781310\pi\)
0.773131 0.634247i \(-0.218690\pi\)
\(98\) −2.07985 + 2.50569i −0.210096 + 0.253113i
\(99\) 1.80989 + 1.80989i 0.181901 + 0.181901i
\(100\) 7.76198 + 6.30489i 0.776198 + 0.630489i
\(101\) 0.569518 0.569518i 0.0566692 0.0566692i −0.678204 0.734873i \(-0.737242\pi\)
0.734873 + 0.678204i \(0.237242\pi\)
\(102\) −5.16304 + 0.479473i −0.511218 + 0.0474749i
\(103\) 12.2060 1.20269 0.601345 0.798989i \(-0.294632\pi\)
0.601345 + 0.798989i \(0.294632\pi\)
\(104\) −9.50341 + 2.71014i −0.931886 + 0.265752i
\(105\) 6.18866 + 2.86595i 0.603951 + 0.279688i
\(106\) −19.9096 + 1.84893i −1.93379 + 0.179584i
\(107\) 7.99550 + 7.99550i 0.772955 + 0.772955i 0.978622 0.205667i \(-0.0659365\pi\)
−0.205667 + 0.978622i \(0.565937\pi\)
\(108\) 1.12961 1.65045i 0.108697 0.158815i
\(109\) −7.07511 7.07511i −0.677672 0.677672i 0.281801 0.959473i \(-0.409068\pi\)
−0.959473 + 0.281801i \(0.909068\pi\)
\(110\) 7.30821 3.47909i 0.696810 0.331718i
\(111\) 7.63805 0.724972
\(112\) 11.3727 4.41632i 1.07462 0.417303i
\(113\) 6.25105i 0.588050i −0.955798 0.294025i \(-0.905005\pi\)
0.955798 0.294025i \(-0.0949948\pi\)
\(114\) −2.95837 + 3.56409i −0.277077 + 0.333808i
\(115\) −3.74637 10.2091i −0.349351 0.952005i
\(116\) 7.58293 11.0793i 0.704058 1.02868i
\(117\) 2.47057 + 2.47057i 0.228405 + 0.228405i
\(118\) −0.457081 4.92193i −0.0420777 0.453100i
\(119\) 11.1830i 1.02514i
\(120\) −3.72356 5.11225i −0.339913 0.466682i
\(121\) 4.44861i 0.404419i
\(122\) −15.9677 + 1.48286i −1.44565 + 0.134252i
\(123\) −4.57798 4.57798i −0.412782 0.412782i
\(124\) −0.685652 3.65977i −0.0615734 0.328657i
\(125\) −9.72643 5.51331i −0.869958 0.493125i
\(126\) −3.31898 2.75492i −0.295679 0.245428i
\(127\) 14.1884i 1.25902i 0.776993 + 0.629509i \(0.216744\pi\)
−0.776993 + 0.629509i \(0.783256\pi\)
\(128\) −11.2074 1.54730i −0.990604 0.136764i
\(129\) −5.93095 −0.522191
\(130\) 9.97600 4.74910i 0.874954 0.416524i
\(131\) −12.5522 12.5522i −1.09669 1.09669i −0.994795 0.101896i \(-0.967509\pi\)
−0.101896 0.994795i \(-0.532491\pi\)
\(132\) −5.03160 + 0.942661i −0.437944 + 0.0820481i
\(133\) 7.06373 + 7.06373i 0.612503 + 0.612503i
\(134\) 1.59057 + 17.1276i 0.137405 + 1.47960i
\(135\) −0.939649 + 2.02905i −0.0808721 + 0.174633i
\(136\) 5.04088 9.06296i 0.432252 0.777142i
\(137\) −4.88336 −0.417214 −0.208607 0.978000i \(-0.566893\pi\)
−0.208607 + 0.978000i \(0.566893\pi\)
\(138\) 0.635982 + 6.84836i 0.0541383 + 0.582971i
\(139\) 5.84556 5.84556i 0.495814 0.495814i −0.414318 0.910132i \(-0.635980\pi\)
0.910132 + 0.414318i \(0.135980\pi\)
\(140\) −11.7209 + 6.97666i −0.990595 + 0.589635i
\(141\) −5.82930 5.82930i −0.490915 0.490915i
\(142\) −7.22177 5.99443i −0.606037 0.503041i
\(143\) 8.94292i 0.747845i
\(144\) 1.44796 + 3.72873i 0.120664 + 0.310727i
\(145\) −6.30775 + 13.6208i −0.523830 + 1.13115i
\(146\) 2.43914 2.93855i 0.201865 0.243196i
\(147\) −1.62821 + 1.62821i −0.134292 + 0.134292i
\(148\) −8.62802 + 12.6062i −0.709219 + 1.03622i
\(149\) −15.1483 + 15.1483i −1.24100 + 1.24100i −0.281412 + 0.959587i \(0.590803\pi\)
−0.959587 + 0.281412i \(0.909197\pi\)
\(150\) 5.05279 + 4.94665i 0.412559 + 0.403892i
\(151\) 4.02031i 0.327168i 0.986529 + 0.163584i \(0.0523056\pi\)
−0.986529 + 0.163584i \(0.947694\pi\)
\(152\) −2.54054 8.90867i −0.206065 0.722589i
\(153\) −3.66653 −0.296422
\(154\) 1.02089 + 10.9931i 0.0822655 + 0.885849i
\(155\) 1.43413 + 3.90811i 0.115192 + 0.313907i
\(156\) −6.86834 + 1.28677i −0.549907 + 0.103024i
\(157\) −9.86041 + 9.86041i −0.786946 + 0.786946i −0.980992 0.194046i \(-0.937839\pi\)
0.194046 + 0.980992i \(0.437839\pi\)
\(158\) 9.90771 11.9363i 0.788215 0.949600i
\(159\) −14.1388 −1.12128
\(160\) 12.6437 0.370706i 0.999570 0.0293069i
\(161\) 14.8333 1.16903
\(162\) 0.903247 1.08818i 0.0709658 0.0854958i
\(163\) 13.1713 13.1713i 1.03165 1.03165i 0.0321718 0.999482i \(-0.489758\pi\)
0.999482 0.0321718i \(-0.0102424\pi\)
\(164\) 12.7270 2.38439i 0.993815 0.186190i
\(165\) 5.37302 1.97170i 0.418289 0.153497i
\(166\) −0.676291 7.28242i −0.0524904 0.565226i
\(167\) −0.0610761 −0.00472621 −0.00236311 0.999997i \(-0.500752\pi\)
−0.00236311 + 0.999997i \(0.500752\pi\)
\(168\) 8.29602 2.36583i 0.640052 0.182527i
\(169\) 0.792537i 0.0609644i
\(170\) −3.87858 + 10.9266i −0.297473 + 0.838034i
\(171\) −2.31596 + 2.31596i −0.177106 + 0.177106i
\(172\) 6.69966 9.78874i 0.510845 0.746384i
\(173\) −8.01622 + 8.01622i −0.609462 + 0.609462i −0.942805 0.333343i \(-0.891823\pi\)
0.333343 + 0.942805i \(0.391823\pi\)
\(174\) 6.06339 7.30485i 0.459664 0.553779i
\(175\) 11.6303 9.86413i 0.879171 0.745658i
\(176\) 4.12793 9.36923i 0.311154 0.706232i
\(177\) 3.49531i 0.262723i
\(178\) 14.3128 + 11.8804i 1.07279 + 0.890472i
\(179\) 11.8352 + 11.8352i 0.884607 + 0.884607i 0.993999 0.109392i \(-0.0348903\pi\)
−0.109392 + 0.993999i \(0.534890\pi\)
\(180\) −2.28741 3.84288i −0.170494 0.286432i
\(181\) 3.63391 3.63391i 0.270106 0.270106i −0.559037 0.829143i \(-0.688829\pi\)
0.829143 + 0.559037i \(0.188829\pi\)
\(182\) 1.39355 + 15.0060i 0.103297 + 1.11232i
\(183\) −11.3395 −0.838239
\(184\) −12.0213 6.68632i −0.886221 0.492922i
\(185\) 7.17709 15.4980i 0.527670 1.13944i
\(186\) −0.243458 2.62159i −0.0178512 0.192225i
\(187\) 6.63602 + 6.63602i 0.485274 + 0.485274i
\(188\) 16.2058 3.03612i 1.18193 0.221432i
\(189\) −2.15669 2.15669i −0.156876 0.156876i
\(190\) 4.45190 + 9.35169i 0.322974 + 0.678443i
\(191\) 19.0823 1.38074 0.690372 0.723455i \(-0.257447\pi\)
0.690372 + 0.723455i \(0.257447\pi\)
\(192\) −7.78971 1.82222i −0.562174 0.131507i
\(193\) 2.99015i 0.215236i −0.994192 0.107618i \(-0.965678\pi\)
0.994192 0.107618i \(-0.0343223\pi\)
\(194\) 13.5949 + 11.2845i 0.976058 + 0.810177i
\(195\) 7.33440 2.69145i 0.525227 0.192739i
\(196\) −0.848033 4.52651i −0.0605738 0.323322i
\(197\) −1.37271 1.37271i −0.0978016 0.0978016i 0.656513 0.754315i \(-0.272031\pi\)
−0.754315 + 0.656513i \(0.772031\pi\)
\(198\) −3.60427 + 0.334715i −0.256144 + 0.0237872i
\(199\) 15.7129i 1.11386i −0.830560 0.556930i \(-0.811979\pi\)
0.830560 0.556930i \(-0.188021\pi\)
\(200\) −13.8719 + 2.75159i −0.980889 + 0.194567i
\(201\) 12.1631i 0.857922i
\(202\) 0.105325 + 1.13416i 0.00741063 + 0.0797989i
\(203\) −14.4776 14.4776i −1.01613 1.01613i
\(204\) 4.14175 6.05142i 0.289981 0.423684i
\(205\) −13.5907 + 4.98727i −0.949213 + 0.348326i
\(206\) −11.0250 + 13.2823i −0.768149 + 0.925425i
\(207\) 4.86336i 0.338027i
\(208\) 5.63479 12.7894i 0.390703 0.886785i
\(209\) 8.38326 0.579882
\(210\) −8.70857 + 4.14574i −0.600948 + 0.286083i
\(211\) 16.8391 + 16.8391i 1.15925 + 1.15925i 0.984637 + 0.174614i \(0.0558679\pi\)
0.174614 + 0.984637i \(0.444132\pi\)
\(212\) 15.9713 23.3353i 1.09691 1.60267i
\(213\) −4.69274 4.69274i −0.321541 0.321541i
\(214\) −15.9225 + 1.47866i −1.08844 + 0.101079i
\(215\) −5.57302 + 12.0342i −0.380077 + 0.820727i
\(216\) 0.775675 + 2.71999i 0.0527780 + 0.185072i
\(217\) −5.67830 −0.385468
\(218\) 14.0896 1.30845i 0.954267 0.0886192i
\(219\) 1.90948 1.90948i 0.129031 0.129031i
\(220\) −2.81523 + 11.0952i −0.189803 + 0.748035i
\(221\) 9.05844 + 9.05844i 0.609336 + 0.609336i
\(222\) −6.89905 + 8.31160i −0.463034 + 0.557838i
\(223\) 10.6893i 0.715809i −0.933758 0.357905i \(-0.883491\pi\)
0.933758 0.357905i \(-0.116509\pi\)
\(224\) −5.46659 + 16.3646i −0.365252 + 1.09341i
\(225\) 3.23412 + 3.81320i 0.215608 + 0.254213i
\(226\) 6.80230 + 5.64625i 0.452482 + 0.375583i
\(227\) −15.0722 + 15.0722i −1.00037 + 1.00037i −0.000374434 1.00000i \(0.500119\pi\)
−1.00000 0.000374434i \(0.999881\pi\)
\(228\) −1.20624 6.43851i −0.0798854 0.426401i
\(229\) −3.23629 + 3.23629i −0.213860 + 0.213860i −0.805905 0.592045i \(-0.798321\pi\)
0.592045 + 0.805905i \(0.298321\pi\)
\(230\) 14.4933 + 5.14462i 0.955659 + 0.339226i
\(231\) 7.80674i 0.513646i
\(232\) 5.20701 + 18.2589i 0.341857 + 1.19876i
\(233\) −4.75428 −0.311463 −0.155732 0.987799i \(-0.549773\pi\)
−0.155732 + 0.987799i \(0.549773\pi\)
\(234\) −4.91998 + 0.456900i −0.321629 + 0.0298685i
\(235\) −17.3054 + 6.35046i −1.12888 + 0.414258i
\(236\) 5.76882 + 3.94833i 0.375518 + 0.257015i
\(237\) 7.75625 7.75625i 0.503823 0.503823i
\(238\) −12.1692 10.1010i −0.788810 0.654752i
\(239\) 11.9224 0.771196 0.385598 0.922667i \(-0.373995\pi\)
0.385598 + 0.922667i \(0.373995\pi\)
\(240\) 8.92636 + 0.565701i 0.576194 + 0.0365159i
\(241\) −28.2991 −1.82291 −0.911453 0.411403i \(-0.865039\pi\)
−0.911453 + 0.411403i \(0.865039\pi\)
\(242\) −4.84090 4.01819i −0.311185 0.258299i
\(243\) 0.707107 0.707107i 0.0453609 0.0453609i
\(244\) 12.8092 18.7152i 0.820024 1.19812i
\(245\) 1.77377 + 4.83366i 0.113322 + 0.308811i
\(246\) 9.11673 0.846636i 0.581261 0.0539796i
\(247\) 11.4435 0.728133
\(248\) 4.60182 + 2.55956i 0.292216 + 0.162533i
\(249\) 5.17161i 0.327737i
\(250\) 14.7849 5.60427i 0.935077 0.354445i
\(251\) −4.39215 + 4.39215i −0.277230 + 0.277230i −0.832002 0.554772i \(-0.812805\pi\)
0.554772 + 0.832002i \(0.312805\pi\)
\(252\) 5.99573 1.12329i 0.377695 0.0707605i
\(253\) 8.80214 8.80214i 0.553386 0.553386i
\(254\) −15.4396 12.8156i −0.968767 0.804125i
\(255\) −3.44526 + 7.43959i −0.215750 + 0.465885i
\(256\) 11.8068 10.7981i 0.737925 0.674882i
\(257\) 2.53050i 0.157849i −0.996881 0.0789243i \(-0.974851\pi\)
0.996881 0.0789243i \(-0.0251485\pi\)
\(258\) 5.35712 6.45397i 0.333520 0.401807i
\(259\) 16.4729 + 16.4729i 1.02358 + 1.02358i
\(260\) −3.84290 + 15.1453i −0.238327 + 0.939274i
\(261\) 4.74672 4.74672i 0.293815 0.293815i
\(262\) 24.9969 2.32136i 1.54431 0.143414i
\(263\) 0.540983 0.0333584 0.0166792 0.999861i \(-0.494691\pi\)
0.0166792 + 0.999861i \(0.494691\pi\)
\(264\) 3.51899 6.32676i 0.216579 0.389385i
\(265\) −13.2855 + 28.6883i −0.816120 + 1.76231i
\(266\) −14.0669 + 1.30634i −0.862499 + 0.0800970i
\(267\) 9.30055 + 9.30055i 0.569184 + 0.569184i
\(268\) −20.0747 13.7396i −1.22625 0.839280i
\(269\) −3.00188 3.00188i −0.183028 0.183028i 0.609646 0.792674i \(-0.291312\pi\)
−0.792674 + 0.609646i \(0.791312\pi\)
\(270\) −1.35925 2.85525i −0.0827212 0.173765i
\(271\) −8.44312 −0.512883 −0.256442 0.966560i \(-0.582550\pi\)
−0.256442 + 0.966560i \(0.582550\pi\)
\(272\) 5.30900 + 13.6715i 0.321906 + 0.828956i
\(273\) 10.6565i 0.644962i
\(274\) 4.41089 5.31400i 0.266471 0.321030i
\(275\) 1.04807 12.7549i 0.0632011 0.769147i
\(276\) −8.02673 5.49370i −0.483152 0.330682i
\(277\) −12.2494 12.2494i −0.735992 0.735992i 0.235807 0.971800i \(-0.424227\pi\)
−0.971800 + 0.235807i \(0.924227\pi\)
\(278\) 1.08106 + 11.6410i 0.0648376 + 0.698182i
\(279\) 1.86172i 0.111458i
\(280\) 2.99496 19.0561i 0.178983 1.13882i
\(281\) 16.6912i 0.995715i −0.867259 0.497857i \(-0.834120\pi\)
0.867259 0.497857i \(-0.165880\pi\)
\(282\) 11.6086 1.07805i 0.691285 0.0641970i
\(283\) −1.25800 1.25800i −0.0747802 0.0747802i 0.668727 0.743508i \(-0.266839\pi\)
−0.743508 + 0.668727i \(0.766839\pi\)
\(284\) 13.0461 2.44416i 0.774143 0.145034i
\(285\) 2.52302 + 6.87540i 0.149451 + 0.407264i
\(286\) 9.73155 + 8.07767i 0.575438 + 0.477643i
\(287\) 19.7466i 1.16560i
\(288\) −5.36541 1.79231i −0.316160 0.105613i
\(289\) 3.55654 0.209208
\(290\) −9.12447 19.1669i −0.535807 1.12552i
\(291\) 8.83403 + 8.83403i 0.517860 + 0.517860i
\(292\) 0.994532 + 5.30847i 0.0582006 + 0.310655i
\(293\) −12.4197 12.4197i −0.725564 0.725564i 0.244169 0.969733i \(-0.421485\pi\)
−0.969733 + 0.244169i \(0.921485\pi\)
\(294\) −0.301115 3.24246i −0.0175614 0.189104i
\(295\) −7.09216 3.28436i −0.412922 0.191223i
\(296\) −5.92464 20.7754i −0.344363 1.20755i
\(297\) −2.55957 −0.148521
\(298\) −2.80148 30.1669i −0.162285 1.74752i
\(299\) 12.0153 12.0153i 0.694862 0.694862i
\(300\) −9.94678 + 1.03032i −0.574278 + 0.0594855i
\(301\) −12.7912 12.7912i −0.737275 0.737275i
\(302\) −4.37484 3.63134i −0.251744 0.208960i
\(303\) 0.805420i 0.0462702i
\(304\) 11.9890 + 5.28216i 0.687617 + 0.302953i
\(305\) −10.6551 + 23.0084i −0.610111 + 1.31746i
\(306\) 3.31179 3.98986i 0.189322 0.228085i
\(307\) −21.6994 + 21.6994i −1.23845 + 1.23845i −0.277816 + 0.960634i \(0.589611\pi\)
−0.960634 + 0.277816i \(0.910389\pi\)
\(308\) −12.8846 8.81857i −0.734170 0.502485i
\(309\) −8.63093 + 8.63093i −0.490996 + 0.490996i
\(310\) −5.54812 1.96939i −0.315112 0.111854i
\(311\) 13.6575i 0.774447i −0.921986 0.387224i \(-0.873434\pi\)
0.921986 0.387224i \(-0.126566\pi\)
\(312\) 4.80356 8.63629i 0.271948 0.488934i
\(313\) 13.7537 0.777403 0.388701 0.921364i \(-0.372924\pi\)
0.388701 + 0.921364i \(0.372924\pi\)
\(314\) −1.82355 19.6363i −0.102909 1.10814i
\(315\) −6.40257 + 2.34951i −0.360744 + 0.132380i
\(316\) 4.03976 + 21.5628i 0.227254 + 1.21300i
\(317\) 16.5311 16.5311i 0.928477 0.928477i −0.0691306 0.997608i \(-0.522023\pi\)
0.997608 + 0.0691306i \(0.0220225\pi\)
\(318\) 12.7708 15.3856i 0.716151 0.862780i
\(319\) −17.1821 −0.962012
\(320\) −11.0170 + 14.0935i −0.615867 + 0.787850i
\(321\) −11.3073 −0.631115
\(322\) −13.3982 + 16.1414i −0.746651 + 0.899526i
\(323\) −8.49155 + 8.49155i −0.472482 + 0.472482i
\(324\) 0.368289 + 1.96580i 0.0204605 + 0.109211i
\(325\) 1.43066 17.4109i 0.0793588 0.965784i
\(326\) 2.43585 + 26.2297i 0.134909 + 1.45273i
\(327\) 10.0057 0.553317
\(328\) −8.90102 + 16.0031i −0.491476 + 0.883621i
\(329\) 25.1440i 1.38623i
\(330\) −2.70759 + 7.62777i −0.149048 + 0.419895i
\(331\) −8.05179 + 8.05179i −0.442566 + 0.442566i −0.892874 0.450307i \(-0.851314\pi\)
0.450307 + 0.892874i \(0.351314\pi\)
\(332\) 8.53547 + 5.84190i 0.468445 + 0.320616i
\(333\) −5.40092 + 5.40092i −0.295968 + 0.295968i
\(334\) 0.0551668 0.0664621i 0.00301859 0.00363664i
\(335\) 24.6797 + 11.4291i 1.34839 + 0.624438i
\(336\) −4.91890 + 11.1645i −0.268348 + 0.609074i
\(337\) 4.77730i 0.260236i 0.991499 + 0.130118i \(0.0415356\pi\)
−0.991499 + 0.130118i \(0.958464\pi\)
\(338\) −0.862426 0.715857i −0.0469098 0.0389375i
\(339\) 4.42016 + 4.42016i 0.240070 + 0.240070i
\(340\) −8.38687 14.0901i −0.454842 0.764140i
\(341\) −3.36951 + 3.36951i −0.182469 + 0.182469i
\(342\) −0.428306 4.61208i −0.0231601 0.249393i
\(343\) 14.3271 0.773589
\(344\) 4.60049 + 16.1321i 0.248042 + 0.869785i
\(345\) 9.86802 + 4.56985i 0.531276 + 0.246033i
\(346\) −1.48249 15.9638i −0.0796994 0.858217i
\(347\) 3.32673 + 3.32673i 0.178588 + 0.178588i 0.790740 0.612152i \(-0.209696\pi\)
−0.612152 + 0.790740i \(0.709696\pi\)
\(348\) 2.47228 + 13.1962i 0.132528 + 0.707389i
\(349\) 21.8586 + 21.8586i 1.17007 + 1.17007i 0.982194 + 0.187872i \(0.0601590\pi\)
0.187872 + 0.982194i \(0.439841\pi\)
\(350\) 0.228917 + 21.5657i 0.0122361 + 1.15273i
\(351\) −3.49392 −0.186492
\(352\) 6.46691 + 12.9547i 0.344687 + 0.690487i
\(353\) 5.19436i 0.276468i 0.990400 + 0.138234i \(0.0441426\pi\)
−0.990400 + 0.138234i \(0.955857\pi\)
\(354\) 3.80354 + 3.15713i 0.202156 + 0.167799i
\(355\) −13.9313 + 5.11229i −0.739399 + 0.271332i
\(356\) −25.8561 + 4.84409i −1.37037 + 0.256736i
\(357\) −7.90758 7.90758i −0.418513 0.418513i
\(358\) −23.5691 + 2.18877i −1.24566 + 0.115680i
\(359\) 21.0115i 1.10894i −0.832203 0.554472i \(-0.812920\pi\)
0.832203 0.554472i \(-0.187080\pi\)
\(360\) 6.24786 + 0.981948i 0.329291 + 0.0517532i
\(361\) 8.27265i 0.435403i
\(362\) 0.672044 + 7.23668i 0.0353218 + 0.380352i
\(363\) −3.14564 3.14564i −0.165103 0.165103i
\(364\) −17.5880 12.0377i −0.921864 0.630948i
\(365\) −2.08020 5.66868i −0.108882 0.296712i
\(366\) 10.2424 12.3394i 0.535376 0.644993i
\(367\) 24.5855i 1.28335i 0.766976 + 0.641676i \(0.221760\pi\)
−0.766976 + 0.641676i \(0.778240\pi\)
\(368\) 18.1341 7.04196i 0.945307 0.367088i
\(369\) 6.47424 0.337035
\(370\) 10.3820 + 21.8085i 0.539735 + 1.13377i
\(371\) −30.4929 30.4929i −1.58311 1.58311i
\(372\) 3.07268 + 2.10302i 0.159311 + 0.109037i
\(373\) 1.00389 + 1.00389i 0.0519795 + 0.0519795i 0.732619 0.680639i \(-0.238298\pi\)
−0.680639 + 0.732619i \(0.738298\pi\)
\(374\) −13.2152 + 1.22724i −0.683340 + 0.0634592i
\(375\) 10.7761 2.97913i 0.556477 0.153842i
\(376\) −11.3340 + 20.3772i −0.584505 + 1.05088i
\(377\) −23.4542 −1.20796
\(378\) 4.29490 0.398851i 0.220906 0.0205147i
\(379\) −4.93721 + 4.93721i −0.253607 + 0.253607i −0.822448 0.568841i \(-0.807392\pi\)
0.568841 + 0.822448i \(0.307392\pi\)
\(380\) −14.1975 3.60241i −0.728318 0.184800i
\(381\) −10.0327 10.0327i −0.513992 0.513992i
\(382\) −17.2360 + 20.7650i −0.881870 + 1.06243i
\(383\) 4.25312i 0.217324i −0.994079 0.108662i \(-0.965343\pi\)
0.994079 0.108662i \(-0.0346566\pi\)
\(384\) 9.01894 6.83072i 0.460246 0.348579i
\(385\) 15.8403 + 7.33560i 0.807296 + 0.373857i
\(386\) 3.25383 + 2.70085i 0.165616 + 0.137469i
\(387\) 4.19382 4.19382i 0.213184 0.213184i
\(388\) −24.5591 + 4.60111i −1.24680 + 0.233586i
\(389\) −15.1555 + 15.1555i −0.768414 + 0.768414i −0.977827 0.209413i \(-0.932845\pi\)
0.209413 + 0.977827i \(0.432845\pi\)
\(390\) −3.69598 + 10.4122i −0.187153 + 0.527243i
\(391\) 17.8317i 0.901786i
\(392\) 5.69166 + 3.16574i 0.287472 + 0.159894i
\(393\) 17.7515 0.895445
\(394\) 2.73366 0.253865i 0.137720 0.0127895i
\(395\) −8.44969 23.0260i −0.425150 1.15856i
\(396\) 2.89131 4.22444i 0.145294 0.212286i
\(397\) −2.06126 + 2.06126i −0.103451 + 0.103451i −0.756938 0.653487i \(-0.773306\pi\)
0.653487 + 0.756938i \(0.273306\pi\)
\(398\) 17.0985 + 14.1927i 0.857073 + 0.711413i
\(399\) −9.98962 −0.500107
\(400\) 9.53549 17.5805i 0.476775 0.879026i
\(401\) 10.1012 0.504431 0.252215 0.967671i \(-0.418841\pi\)
0.252215 + 0.967671i \(0.418841\pi\)
\(402\) −13.2357 10.9863i −0.660139 0.547948i
\(403\) −4.59952 + 4.59952i −0.229119 + 0.229119i
\(404\) −1.32930 0.909811i −0.0661354 0.0452648i
\(405\) −0.770325 2.09919i −0.0382778 0.104310i
\(406\) 28.8312 2.67744i 1.43087 0.132879i
\(407\) 19.5501 0.969063
\(408\) 2.84404 + 9.97292i 0.140801 + 0.493733i
\(409\) 15.5464i 0.768720i −0.923183 0.384360i \(-0.874422\pi\)
0.923183 0.384360i \(-0.125578\pi\)
\(410\) 6.84866 19.2939i 0.338231 0.952856i
\(411\) 3.45306 3.45306i 0.170327 0.170327i
\(412\) −4.49532 23.9945i −0.221469 1.18212i
\(413\) 7.53829 7.53829i 0.370935 0.370935i
\(414\) −5.29223 4.39282i −0.260099 0.215895i
\(415\) −10.4935 4.85950i −0.515104 0.238543i
\(416\) 8.82760 + 17.6837i 0.432809 + 0.867013i
\(417\) 8.26686i 0.404830i
\(418\) −7.57216 + 9.12253i −0.370366 + 0.446198i
\(419\) 0.811206 + 0.811206i 0.0396300 + 0.0396300i 0.726644 0.687014i \(-0.241079\pi\)
−0.687014 + 0.726644i \(0.741079\pi\)
\(420\) 3.35467 13.2212i 0.163691 0.645126i
\(421\) 6.67755 6.67755i 0.325444 0.325444i −0.525407 0.850851i \(-0.676087\pi\)
0.850851 + 0.525407i \(0.176087\pi\)
\(422\) −33.5339 + 3.11417i −1.63241 + 0.151595i
\(423\) 8.24387 0.400831
\(424\) 10.9671 + 38.4572i 0.532609 + 1.86765i
\(425\) 11.8580 + 13.9812i 0.575197 + 0.678189i
\(426\) 9.34526 0.867859i 0.452779 0.0420479i
\(427\) −24.4558 24.4558i −1.18350 1.18350i
\(428\) 12.7729 18.6622i 0.617401 0.902072i
\(429\) 6.32360 + 6.32360i 0.305306 + 0.305306i
\(430\) −8.06164 16.9343i −0.388767 0.816647i
\(431\) −20.8900 −1.00623 −0.503117 0.864218i \(-0.667814\pi\)
−0.503117 + 0.864218i \(0.667814\pi\)
\(432\) −3.66047 1.61274i −0.176115 0.0775932i
\(433\) 21.0344i 1.01085i 0.862870 + 0.505426i \(0.168664\pi\)
−0.862870 + 0.505426i \(0.831336\pi\)
\(434\) 5.12891 6.17903i 0.246195 0.296603i
\(435\) −5.17110 14.0916i −0.247935 0.675641i
\(436\) −11.3025 + 16.5139i −0.541294 + 0.790873i
\(437\) 11.2633 + 11.2633i 0.538799 + 0.538799i
\(438\) 0.353133 + 3.80260i 0.0168734 + 0.181695i
\(439\) 27.5268i 1.31378i −0.753986 0.656891i \(-0.771871\pi\)
0.753986 0.656891i \(-0.228129\pi\)
\(440\) −9.53072 13.0852i −0.454359 0.623810i
\(441\) 2.30263i 0.109649i
\(442\) −18.0393 + 1.67524i −0.858040 + 0.0796829i
\(443\) 15.3577 + 15.3577i 0.729667 + 0.729667i 0.970553 0.240886i \(-0.0774381\pi\)
−0.240886 + 0.970553i \(0.577438\pi\)
\(444\) −2.81301 15.0149i −0.133499 0.712574i
\(445\) 27.6106 10.1321i 1.30887 0.480306i
\(446\) 11.6319 + 9.65509i 0.550788 + 0.457182i
\(447\) 21.4230i 1.01327i
\(448\) −12.8700 20.7299i −0.608052 0.979398i
\(449\) 34.2343 1.61562 0.807808 0.589445i \(-0.200654\pi\)
0.807808 + 0.589445i \(0.200654\pi\)
\(450\) −7.07067 + 0.0750542i −0.333315 + 0.00353809i
\(451\) −11.7177 11.7177i −0.551763 0.551763i
\(452\) −12.2883 + 2.30219i −0.577993 + 0.108286i
\(453\) −2.84279 2.84279i −0.133566 0.133566i
\(454\) −2.78740 30.0152i −0.130819 1.40868i
\(455\) 21.6227 + 10.0134i 1.01369 + 0.469435i
\(456\) 8.09582 + 4.50295i 0.379121 + 0.210870i
\(457\) 37.3287 1.74616 0.873081 0.487575i \(-0.162119\pi\)
0.873081 + 0.487575i \(0.162119\pi\)
\(458\) −0.598509 6.44485i −0.0279665 0.301148i
\(459\) 2.59263 2.59263i 0.121014 0.121014i
\(460\) −18.6893 + 11.1245i −0.871394 + 0.518683i
\(461\) 4.31480 + 4.31480i 0.200960 + 0.200960i 0.800411 0.599451i \(-0.204614\pi\)
−0.599451 + 0.800411i \(0.704614\pi\)
\(462\) −8.49517 7.05142i −0.395231 0.328062i
\(463\) 12.6151i 0.586272i −0.956071 0.293136i \(-0.905301\pi\)
0.956071 0.293136i \(-0.0946988\pi\)
\(464\) −24.5723 10.8262i −1.14074 0.502591i
\(465\) −3.77754 1.74937i −0.175179 0.0811250i
\(466\) 4.29429 5.17353i 0.198929 0.239659i
\(467\) 3.20222 3.20222i 0.148181 0.148181i −0.629124 0.777305i \(-0.716586\pi\)
0.777305 + 0.629124i \(0.216586\pi\)
\(468\) 3.94676 5.76653i 0.182439 0.266558i
\(469\) −26.2321 + 26.2321i −1.21129 + 1.21129i
\(470\) 8.72063 24.5675i 0.402253 1.13322i
\(471\) 13.9447i 0.642539i
\(472\) −9.50719 + 2.71122i −0.437604 + 0.124794i
\(473\) −15.1807 −0.698009
\(474\) 1.43442 + 15.4460i 0.0658849 + 0.709460i
\(475\) 16.3213 + 1.34113i 0.748873 + 0.0615352i
\(476\) 21.9835 4.11857i 1.00761 0.188775i
\(477\) 9.99761 9.99761i 0.457759 0.457759i
\(478\) −10.7689 + 12.9738i −0.492557 + 0.593406i
\(479\) −9.07562 −0.414676 −0.207338 0.978269i \(-0.566480\pi\)
−0.207338 + 0.978269i \(0.566480\pi\)
\(480\) −8.67830 + 9.20256i −0.396108 + 0.420037i
\(481\) 26.6867 1.21681
\(482\) 25.5611 30.7947i 1.16428 1.40266i
\(483\) −10.4888 + 10.4888i −0.477255 + 0.477255i
\(484\) 8.74506 1.63837i 0.397503 0.0744714i
\(485\) 26.2256 9.62383i 1.19084 0.436996i
\(486\) 0.130770 + 1.40815i 0.00593185 + 0.0638752i
\(487\) 1.02703 0.0465390 0.0232695 0.999729i \(-0.492592\pi\)
0.0232695 + 0.999729i \(0.492592\pi\)
\(488\) 8.79575 + 30.8432i 0.398165 + 1.39621i
\(489\) 18.6270i 0.842342i
\(490\) −6.86207 2.43580i −0.309997 0.110038i
\(491\) −20.0654 + 20.0654i −0.905539 + 0.905539i −0.995908 0.0903689i \(-0.971195\pi\)
0.0903689 + 0.995908i \(0.471195\pi\)
\(492\) −7.31336 + 10.6854i −0.329712 + 0.481735i
\(493\) 17.4040 17.4040i 0.783837 0.783837i
\(494\) −10.3363 + 12.4526i −0.465053 + 0.560271i
\(495\) −2.40510 + 5.19350i −0.108101 + 0.233431i
\(496\) −6.94186 + 2.69571i −0.311699 + 0.121041i
\(497\) 20.2416i 0.907958i
\(498\) 5.62766 + 4.67124i 0.252181 + 0.209323i
\(499\) 15.1622 + 15.1622i 0.678752 + 0.678752i 0.959718 0.280966i \(-0.0906547\pi\)
−0.280966 + 0.959718i \(0.590655\pi\)
\(500\) −7.25591 + 21.1507i −0.324494 + 0.945888i
\(501\) 0.0431873 0.0431873i 0.00192947 0.00192947i
\(502\) −0.812271 8.74667i −0.0362534 0.390383i
\(503\) 15.6071 0.695885 0.347942 0.937516i \(-0.386880\pi\)
0.347942 + 0.937516i \(0.386880\pi\)
\(504\) −4.19328 + 7.53906i −0.186784 + 0.335817i
\(505\) 1.63424 + 0.756813i 0.0727228 + 0.0336777i
\(506\) 1.62784 + 17.5289i 0.0723663 + 0.779253i
\(507\) −0.560408 0.560408i −0.0248886 0.0248886i
\(508\) 27.8916 5.22543i 1.23749 0.231841i
\(509\) 10.8076 + 10.8076i 0.479040 + 0.479040i 0.904824 0.425785i \(-0.140002\pi\)
−0.425785 + 0.904824i \(0.640002\pi\)
\(510\) −4.98373 10.4689i −0.220683 0.463569i
\(511\) 8.23632 0.364353
\(512\) 1.08587 + 22.6013i 0.0479893 + 0.998848i
\(513\) 3.27526i 0.144606i
\(514\) 2.75365 + 2.28567i 0.121458 + 0.100817i
\(515\) 9.40257 + 25.6227i 0.414327 + 1.12907i
\(516\) 2.18430 + 11.6591i 0.0961586 + 0.513262i
\(517\) −14.9205 14.9205i −0.656202 0.656202i
\(518\) −32.8047 + 3.04645i −1.44135 + 0.133853i
\(519\) 11.3367i 0.497624i
\(520\) −13.0098 17.8618i −0.570519 0.783291i
\(521\) 32.1238i 1.40737i 0.710513 + 0.703684i \(0.248463\pi\)
−0.710513 + 0.703684i \(0.751537\pi\)
\(522\) 0.877843 + 9.45277i 0.0384222 + 0.413737i
\(523\) 3.26553 + 3.26553i 0.142792 + 0.142792i 0.774889 0.632097i \(-0.217806\pi\)
−0.632097 + 0.774889i \(0.717806\pi\)
\(524\) −20.0523 + 29.2979i −0.875987 + 1.27989i
\(525\) −1.24890 + 15.1989i −0.0545064 + 0.663334i
\(526\) −0.488641 + 0.588689i −0.0213058 + 0.0256681i
\(527\) 6.82607i 0.297348i
\(528\) 3.70616 + 9.54393i 0.161290 + 0.415346i
\(529\) 0.652259 0.0283591
\(530\) −19.2181 40.3697i −0.834780 1.75355i
\(531\) 2.47155 + 2.47155i 0.107256 + 0.107256i
\(532\) 11.2844 16.4874i 0.489240 0.714818i
\(533\) −15.9951 15.9951i −0.692824 0.692824i
\(534\) −18.5214 + 1.72001i −0.801499 + 0.0744322i
\(535\) −10.6249 + 22.9432i −0.459356 + 0.991922i
\(536\) 33.0836 9.43465i 1.42899 0.407515i
\(537\) −16.7375 −0.722278
\(538\) 5.97805 0.555159i 0.257732 0.0239346i
\(539\) −4.16751 + 4.16751i −0.179507 + 0.179507i
\(540\) 4.33477 + 1.09988i 0.186539 + 0.0473315i
\(541\) −25.5767 25.5767i −1.09963 1.09963i −0.994454 0.105176i \(-0.966459\pi\)
−0.105176 0.994454i \(-0.533541\pi\)
\(542\) 7.62623 9.18767i 0.327574 0.394644i
\(543\) 5.13913i 0.220541i
\(544\) −19.6724 6.57157i −0.843449 0.281754i
\(545\) 9.40186 20.3021i 0.402731 0.869647i
\(546\) −11.5963 9.62548i −0.496274 0.411932i
\(547\) 6.44163 6.44163i 0.275424 0.275424i −0.555855 0.831279i \(-0.687609\pi\)
0.831279 + 0.555855i \(0.187609\pi\)
\(548\) 1.79849 + 9.59971i 0.0768276 + 0.410079i
\(549\) 8.01822 8.01822i 0.342209 0.342209i
\(550\) 12.9330 + 12.6613i 0.551463 + 0.539879i
\(551\) 21.9864i 0.936654i
\(552\) 13.2283 3.77239i 0.563033 0.160563i
\(553\) 33.4557 1.42268
\(554\) 24.3937 2.26536i 1.03639 0.0962457i
\(555\) 5.88378 + 16.0337i 0.249753 + 0.680594i
\(556\) −13.6440 9.33833i −0.578636 0.396033i
\(557\) −1.38276 + 1.38276i −0.0585893 + 0.0585893i −0.735794 0.677205i \(-0.763191\pi\)
0.677205 + 0.735794i \(0.263191\pi\)
\(558\) 2.02590 + 1.68160i 0.0857631 + 0.0711877i
\(559\) −20.7223 −0.876459
\(560\) 18.0314 + 20.4715i 0.761964 + 0.865077i
\(561\) −9.38474 −0.396224
\(562\) 18.1631 + 15.0763i 0.766165 + 0.635955i
\(563\) 4.13198 4.13198i 0.174142 0.174142i −0.614654 0.788797i \(-0.710704\pi\)
0.788797 + 0.614654i \(0.210704\pi\)
\(564\) −9.31236 + 13.6061i −0.392121 + 0.572920i
\(565\) 13.1221 4.81534i 0.552053 0.202583i
\(566\) 2.50522 0.232650i 0.105302 0.00977900i
\(567\) 3.05002 0.128089
\(568\) −9.12414 + 16.4042i −0.382840 + 0.688306i
\(569\) 14.2348i 0.596755i −0.954448 0.298378i \(-0.903554\pi\)
0.954448 0.298378i \(-0.0964455\pi\)
\(570\) −9.76061 3.46468i −0.408827 0.145119i
\(571\) 14.6986 14.6986i 0.615116 0.615116i −0.329158 0.944275i \(-0.606765\pi\)
0.944275 + 0.329158i \(0.106765\pi\)
\(572\) −17.5800 + 3.29358i −0.735056 + 0.137711i
\(573\) −13.4932 + 13.4932i −0.563686 + 0.563686i
\(574\) 21.4879 + 17.8360i 0.896887 + 0.744462i
\(575\) 18.5450 15.7287i 0.773378 0.655931i
\(576\) 6.79666 4.21965i 0.283194 0.175819i
\(577\) 8.52221i 0.354784i 0.984140 + 0.177392i \(0.0567661\pi\)
−0.984140 + 0.177392i \(0.943234\pi\)
\(578\) −3.21244 + 3.87017i −0.133620 + 0.160978i
\(579\) 2.11436 + 2.11436i 0.0878696 + 0.0878696i
\(580\) 29.0988 + 7.38339i 1.20826 + 0.306578i
\(581\) 11.1536 11.1536i 0.462728 0.462728i
\(582\) −17.5924 + 1.63374i −0.729227 + 0.0677206i
\(583\) −36.1891 −1.49880
\(584\) −6.67490 3.71263i −0.276209 0.153630i
\(585\) −3.28306 + 7.08935i −0.135738 + 0.293108i
\(586\) 24.7329 2.29685i 1.02171 0.0948820i
\(587\) 13.9568 + 13.9568i 0.576057 + 0.576057i 0.933815 0.357757i \(-0.116459\pi\)
−0.357757 + 0.933815i \(0.616459\pi\)
\(588\) 3.80037 + 2.60107i 0.156725 + 0.107267i
\(589\) −4.31168 4.31168i −0.177660 0.177660i
\(590\) 9.97997 4.75099i 0.410869 0.195595i
\(591\) 1.94131 0.0798547
\(592\) 27.9589 + 12.3182i 1.14910 + 0.506276i
\(593\) 22.9285i 0.941561i 0.882250 + 0.470781i \(0.156028\pi\)
−0.882250 + 0.470781i \(0.843972\pi\)
\(594\) 2.31192 2.78528i 0.0948594 0.114282i
\(595\) −23.4752 + 8.61455i −0.962391 + 0.353162i
\(596\) 35.3575 + 24.1996i 1.44830 + 0.991254i
\(597\) 11.1107 + 11.1107i 0.454731 + 0.454731i
\(598\) 2.22207 + 23.9276i 0.0908671 + 0.978473i
\(599\) 15.8822i 0.648928i 0.945898 + 0.324464i \(0.105184\pi\)
−0.945898 + 0.324464i \(0.894816\pi\)
\(600\) 7.86322 11.7546i 0.321015 0.479878i
\(601\) 4.12190i 0.168136i 0.996460 + 0.0840680i \(0.0267913\pi\)
−0.996460 + 0.0840680i \(0.973209\pi\)
\(602\) 25.4729 2.36557i 1.03820 0.0964134i
\(603\) −8.60064 8.60064i −0.350245 0.350245i
\(604\) 7.90313 1.48064i 0.321574 0.0602462i
\(605\) −9.33847 + 3.42687i −0.379663 + 0.139322i
\(606\) −0.876445 0.727494i −0.0356032 0.0295524i
\(607\) 26.7142i 1.08429i 0.840283 + 0.542147i \(0.182389\pi\)
−0.840283 + 0.542147i \(0.817611\pi\)
\(608\) −16.5770 + 8.27515i −0.672286 + 0.335602i
\(609\) 20.4744 0.829666
\(610\) −15.4132 32.3770i −0.624061 1.31091i
\(611\) −20.3671 20.3671i −0.823964 0.823964i
\(612\) 1.35034 + 7.20766i 0.0545844 + 0.291353i
\(613\) 10.0253 + 10.0253i 0.404918 + 0.404918i 0.879962 0.475044i \(-0.157568\pi\)
−0.475044 + 0.879962i \(0.657568\pi\)
\(614\) −4.01302 43.2129i −0.161952 1.74393i
\(615\) 6.08351 13.1366i 0.245311 0.529718i
\(616\) 21.2342 6.05549i 0.855552 0.243983i
\(617\) 26.3757 1.06185 0.530923 0.847420i \(-0.321845\pi\)
0.530923 + 0.847420i \(0.321845\pi\)
\(618\) −1.59618 17.1879i −0.0642076 0.691399i
\(619\) −7.39439 + 7.39439i −0.297206 + 0.297206i −0.839918 0.542713i \(-0.817397\pi\)
0.542713 + 0.839918i \(0.317397\pi\)
\(620\) 7.15438 4.25853i 0.287327 0.171027i
\(621\) −3.43891 3.43891i −0.137999 0.137999i
\(622\) 14.8619 + 12.3361i 0.595908 + 0.494634i
\(623\) 40.1168i 1.60725i
\(624\) 5.05906 + 13.0279i 0.202525 + 0.521532i
\(625\) 4.08096 24.6647i 0.163239 0.986587i
\(626\) −12.4230 + 14.9665i −0.496521 + 0.598182i
\(627\) −5.92786 + 5.92786i −0.236736 + 0.236736i
\(628\) 23.0150 + 15.7521i 0.918400 + 0.628577i
\(629\) −19.8026 + 19.8026i −0.789583 + 0.789583i
\(630\) 3.22641 9.08937i 0.128543 0.362129i
\(631\) 34.8730i 1.38827i −0.719844 0.694136i \(-0.755787\pi\)
0.719844 0.694136i \(-0.244213\pi\)
\(632\) −27.1132 15.0806i −1.07851 0.599873i
\(633\) −23.8141 −0.946525
\(634\) 3.05720 + 32.9205i 0.121417 + 1.30744i
\(635\) −29.7842 + 10.9297i −1.18195 + 0.433732i
\(636\) 5.20715 + 27.7939i 0.206477 + 1.10210i
\(637\) −5.68882 + 5.68882i −0.225399 + 0.225399i
\(638\) 15.5197 18.6973i 0.614429 0.740232i
\(639\) 6.63653 0.262537
\(640\) −5.38526 24.7184i −0.212871 0.977080i
\(641\) 6.05015 0.238966 0.119483 0.992836i \(-0.461876\pi\)
0.119483 + 0.992836i \(0.461876\pi\)
\(642\) 10.2133 12.3045i 0.403088 0.485619i
\(643\) −7.52447 + 7.52447i −0.296736 + 0.296736i −0.839734 0.542998i \(-0.817289\pi\)
0.542998 + 0.839734i \(0.317289\pi\)
\(644\) −5.46296 29.1594i −0.215271 1.14904i
\(645\) −4.56876 12.4502i −0.179895 0.490226i
\(646\) −1.57040 16.9103i −0.0617865 0.665328i
\(647\) −24.8356 −0.976389 −0.488194 0.872735i \(-0.662344\pi\)
−0.488194 + 0.872735i \(0.662344\pi\)
\(648\) −2.47181 1.37484i −0.0971017 0.0540087i
\(649\) 8.94648i 0.351180i
\(650\) 17.6540 + 17.2832i 0.692448 + 0.677902i
\(651\) 4.01516 4.01516i 0.157367 0.157367i
\(652\) −30.7429 21.0412i −1.20399 0.824039i
\(653\) −20.0550 + 20.0550i −0.784813 + 0.784813i −0.980639 0.195826i \(-0.937261\pi\)
0.195826 + 0.980639i \(0.437261\pi\)
\(654\) −9.03763 + 10.8881i −0.353399 + 0.425757i
\(655\) 16.6802 36.0187i 0.651749 1.40737i
\(656\) −9.37446 24.1407i −0.366011 0.942535i
\(657\) 2.70041i 0.105353i
\(658\) 27.3613 + 22.7112i 1.06665 + 0.885376i
\(659\) 20.7719 + 20.7719i 0.809158 + 0.809158i 0.984506 0.175349i \(-0.0561053\pi\)
−0.175349 + 0.984506i \(0.556105\pi\)
\(660\) −5.85479 9.83612i −0.227897 0.382871i
\(661\) −11.2908 + 11.2908i −0.439161 + 0.439161i −0.891730 0.452568i \(-0.850508\pi\)
0.452568 + 0.891730i \(0.350508\pi\)
\(662\) −1.48907 16.0346i −0.0578744 0.623202i
\(663\) −12.8106 −0.497521
\(664\) −14.0667 + 4.01149i −0.545894 + 0.155676i
\(665\) −9.38674 + 20.2695i −0.364002 + 0.786017i
\(666\) −0.998828 10.7556i −0.0387038 0.416769i
\(667\) −23.0850 23.0850i −0.893855 0.893855i
\(668\) 0.0224936 + 0.120063i 0.000870305 + 0.00464539i
\(669\) 7.55849 + 7.55849i 0.292228 + 0.292228i
\(670\) −34.7288 + 16.5327i −1.34169 + 0.638715i
\(671\) −29.0242 −1.12047
\(672\) −7.70607 15.4370i −0.297268 0.595495i
\(673\) 1.03722i 0.0399820i 0.999800 + 0.0199910i \(0.00636376\pi\)
−0.999800 + 0.0199910i \(0.993636\pi\)
\(674\) −5.19858 4.31508i −0.200242 0.166211i
\(675\) −4.98321 0.409472i −0.191804 0.0157606i
\(676\) 1.55797 0.291882i 0.0599218 0.0112262i
\(677\) −18.4431 18.4431i −0.708825 0.708825i 0.257463 0.966288i \(-0.417113\pi\)
−0.966288 + 0.257463i \(0.917113\pi\)
\(678\) −8.80245 + 0.817450i −0.338056 + 0.0313940i
\(679\) 38.1046i 1.46232i
\(680\) 22.9080 + 3.60034i 0.878481 + 0.138067i
\(681\) 21.3153i 0.816802i
\(682\) −0.623147 6.71015i −0.0238615 0.256945i
\(683\) −0.922102 0.922102i −0.0352833 0.0352833i 0.689245 0.724528i \(-0.257942\pi\)
−0.724528 + 0.689245i \(0.757942\pi\)
\(684\) 5.40565 + 3.69977i 0.206690 + 0.141464i
\(685\) −3.76178 10.2511i −0.143730 0.391675i
\(686\) −12.9409 + 15.5905i −0.494086 + 0.595248i
\(687\) 4.57681i 0.174616i
\(688\) −21.7101 9.56511i −0.827690 0.364666i
\(689\) −49.3997 −1.88198
\(690\) −13.8861 + 6.61051i −0.528635 + 0.251658i
\(691\) −7.34104 7.34104i −0.279266 0.279266i 0.553550 0.832816i \(-0.313273\pi\)
−0.832816 + 0.553550i \(0.813273\pi\)
\(692\) 18.7106 + 12.8060i 0.711269 + 0.486811i
\(693\) −5.52020 5.52020i −0.209695 0.209695i
\(694\) −6.62495 + 0.615235i −0.251480 + 0.0233540i
\(695\) 16.7739 + 7.76795i 0.636271 + 0.294655i
\(696\) −16.5929 9.22911i −0.628954 0.349828i
\(697\) 23.7380 0.899141
\(698\) −43.5300 + 4.04246i −1.64763 + 0.153009i
\(699\) 3.36178 3.36178i 0.127154 0.127154i
\(700\) −23.6742 19.2300i −0.894801 0.726828i
\(701\) 25.7637 + 25.7637i 0.973080 + 0.973080i 0.999647 0.0265667i \(-0.00845745\pi\)
−0.0265667 + 0.999647i \(0.508457\pi\)
\(702\) 3.15587 3.80203i 0.119111 0.143498i
\(703\) 25.0166i 0.943520i
\(704\) −19.9383 4.66409i −0.751453 0.175785i
\(705\) 7.74635 16.7273i 0.291744 0.629985i
\(706\) −5.65242 4.69179i −0.212732 0.176578i
\(707\) −1.73704 + 1.73704i −0.0653282 + 0.0653282i
\(708\) −6.87107 + 1.28728i −0.258230 + 0.0483790i
\(709\) 18.8691 18.8691i 0.708645 0.708645i −0.257605 0.966250i \(-0.582933\pi\)
0.966250 + 0.257605i \(0.0829335\pi\)
\(710\) 7.02034 19.7775i 0.263469 0.742237i
\(711\) 10.9690i 0.411369i
\(712\) 18.0832 32.5116i 0.677695 1.21842i
\(713\) −9.05423 −0.339084
\(714\) 15.7474 1.46240i 0.589331 0.0547290i
\(715\) 18.7729 6.88896i 0.702067 0.257632i
\(716\) 18.9069 27.6245i 0.706584 1.03237i
\(717\) −8.43041 + 8.43041i −0.314839 + 0.314839i
\(718\) 22.8644 + 18.9786i 0.853290 + 0.708274i
\(719\) −48.8119 −1.82038 −0.910189 0.414194i \(-0.864063\pi\)
−0.910189 + 0.414194i \(0.864063\pi\)
\(720\) −6.71190 + 5.91188i −0.250138 + 0.220323i
\(721\) −37.2285 −1.38646
\(722\) 9.00217 + 7.47225i 0.335026 + 0.278088i
\(723\) 20.0105 20.0105i 0.744199 0.744199i
\(724\) −8.48187 5.80521i −0.315226 0.215749i
\(725\) −33.4517 2.74873i −1.24236 0.102085i
\(726\) 6.26432 0.581744i 0.232491 0.0215906i
\(727\) −20.2737 −0.751908 −0.375954 0.926638i \(-0.622685\pi\)
−0.375954 + 0.926638i \(0.622685\pi\)
\(728\) 28.9856 8.26600i 1.07428 0.306358i
\(729\) 1.00000i 0.0370370i
\(730\) 8.04750 + 2.85658i 0.297851 + 0.105727i
\(731\) 15.3768 15.3768i 0.568730 0.568730i
\(732\) 4.17620 + 22.2911i 0.154357 + 0.823904i
\(733\) 21.1889 21.1889i 0.782631 0.782631i −0.197643 0.980274i \(-0.563329\pi\)
0.980274 + 0.197643i \(0.0633286\pi\)
\(734\) −26.7535 22.2068i −0.987490 0.819666i
\(735\) −4.67216 2.16367i −0.172335 0.0798080i
\(736\) −8.71666 + 26.0939i −0.321300 + 0.961834i
\(737\) 31.1324i 1.14678i
\(738\) −5.84784 + 7.04516i −0.215262 + 0.259336i
\(739\) −3.65840 3.65840i −0.134576 0.134576i 0.636610 0.771186i \(-0.280336\pi\)
−0.771186 + 0.636610i \(0.780336\pi\)
\(740\) −33.1092 8.40097i −1.21712 0.308826i
\(741\) −8.09178 + 8.09178i −0.297259 + 0.297259i
\(742\) 60.7246 5.63926i 2.22927 0.207024i
\(743\) 4.42017 0.162160 0.0810802 0.996708i \(-0.474163\pi\)
0.0810802 + 0.996708i \(0.474163\pi\)
\(744\) −5.06386 + 1.44409i −0.185650 + 0.0529430i
\(745\) −43.4684 20.1301i −1.59256 0.737509i
\(746\) −1.99918 + 0.185656i −0.0731952 + 0.00679736i
\(747\) 3.65688 + 3.65688i 0.133798 + 0.133798i
\(748\) 10.6011 15.4890i 0.387615 0.566335i
\(749\) −24.3865 24.3865i −0.891062 0.891062i
\(750\) −6.49166 + 14.4173i −0.237042 + 0.526445i
\(751\) 30.4414 1.11082 0.555411 0.831576i \(-0.312561\pi\)
0.555411 + 0.831576i \(0.312561\pi\)
\(752\) −11.9368 30.7391i −0.435291 1.12094i
\(753\) 6.21144i 0.226358i
\(754\) 21.1850 25.5225i 0.771512 0.929476i
\(755\) −8.43940 + 3.09695i −0.307141 + 0.112710i
\(756\) −3.44533 + 5.03390i −0.125306 + 0.183081i
\(757\) 18.5016 + 18.5016i 0.672454 + 0.672454i 0.958281 0.285828i \(-0.0922684\pi\)
−0.285828 + 0.958281i \(0.592268\pi\)
\(758\) −0.913071 9.83211i −0.0331642 0.357118i
\(759\) 12.4481i 0.451838i
\(760\) 16.7440 12.1957i 0.607367 0.442383i
\(761\) 11.9248i 0.432273i 0.976363 + 0.216137i \(0.0693456\pi\)
−0.976363 + 0.216137i \(0.930654\pi\)
\(762\) 19.9795 1.85542i 0.723780 0.0672148i
\(763\) 21.5792 + 21.5792i 0.781220 + 0.781220i
\(764\) −7.02778 37.5119i −0.254256 1.35713i
\(765\) −2.82442 7.69675i −0.102117 0.278277i
\(766\) 4.62817 + 3.84161i 0.167223 + 0.138803i
\(767\) 12.2123i 0.440961i
\(768\) −0.713251 + 15.9841i −0.0257372 + 0.576776i
\(769\) 51.5679 1.85958 0.929792 0.368085i \(-0.119986\pi\)
0.929792 + 0.368085i \(0.119986\pi\)
\(770\) −22.2902 + 10.6113i −0.803283 + 0.382405i
\(771\) 1.78934 + 1.78934i 0.0644414 + 0.0644414i
\(772\) −5.87803 + 1.10124i −0.211555 + 0.0396345i
\(773\) 13.7126 + 13.7126i 0.493209 + 0.493209i 0.909316 0.416107i \(-0.136606\pi\)
−0.416107 + 0.909316i \(0.636606\pi\)
\(774\) 0.775591 + 8.35170i 0.0278780 + 0.300196i
\(775\) −7.09912 + 6.02103i −0.255008 + 0.216282i