Properties

Label 403.2.k.e.66.14
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.14
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.614130 + 1.89010i) q^{2} +(-0.776144 + 2.38873i) q^{3} +(-1.57728 + 1.14596i) q^{4} +0.0289380 q^{5} -4.99158 q^{6} +(-3.33658 + 2.42417i) q^{7} +(0.0810008 + 0.0588505i) q^{8} +(-2.67656 - 1.94463i) q^{9} +O(q^{10})\) \(q+(0.614130 + 1.89010i) q^{2} +(-0.776144 + 2.38873i) q^{3} +(-1.57728 + 1.14596i) q^{4} +0.0289380 q^{5} -4.99158 q^{6} +(-3.33658 + 2.42417i) q^{7} +(0.0810008 + 0.0588505i) q^{8} +(-2.67656 - 1.94463i) q^{9} +(0.0177717 + 0.0546957i) q^{10} +(2.87936 - 2.09197i) q^{11} +(-1.51319 - 4.65711i) q^{12} +(0.309017 - 0.951057i) q^{13} +(-6.63100 - 4.81770i) q^{14} +(-0.0224601 + 0.0691250i) q^{15} +(-1.26642 + 3.89764i) q^{16} +(1.48973 + 1.08235i) q^{17} +(2.03179 - 6.25322i) q^{18} +(-1.05495 - 3.24679i) q^{19} +(-0.0456433 + 0.0331618i) q^{20} +(-3.20100 - 9.85167i) q^{21} +(5.72233 + 4.15752i) q^{22} +(5.02249 + 3.64906i) q^{23} +(-0.203446 + 0.147812i) q^{24} -4.99916 q^{25} +1.98737 q^{26} +(0.626681 - 0.455311i) q^{27} +(2.48471 - 7.64716i) q^{28} +(-1.55148 - 4.77496i) q^{29} -0.144446 q^{30} +(4.33742 + 3.49096i) q^{31} -7.94442 q^{32} +(2.76236 + 8.50166i) q^{33} +(-1.13086 + 3.48043i) q^{34} +(-0.0965540 + 0.0701506i) q^{35} +6.45014 q^{36} +0.217652 q^{37} +(5.48888 - 3.98790i) q^{38} +(2.03197 + 1.47631i) q^{39} +(0.00234400 + 0.00170302i) q^{40} +(2.99954 + 9.23163i) q^{41} +(16.6548 - 12.1004i) q^{42} +(1.46154 + 4.49817i) q^{43} +(-2.14422 + 6.59924i) q^{44} +(-0.0774544 - 0.0562739i) q^{45} +(-3.81261 + 11.7340i) q^{46} +(1.88949 - 5.81524i) q^{47} +(-8.32747 - 6.05026i) q^{48} +(3.09305 - 9.51944i) q^{49} +(-3.07013 - 9.44890i) q^{50} +(-3.74168 + 2.71849i) q^{51} +(0.602466 + 1.85420i) q^{52} +(-5.13579 - 3.73137i) q^{53} +(1.24544 + 0.904869i) q^{54} +(0.0833229 - 0.0605376i) q^{55} -0.412929 q^{56} +8.57448 q^{57} +(8.07232 - 5.86489i) q^{58} +(-1.59918 + 4.92178i) q^{59} +(-0.0437886 - 0.134768i) q^{60} -5.35160 q^{61} +(-3.93450 + 10.3420i) q^{62} +13.6447 q^{63} +(-2.34606 - 7.22044i) q^{64} +(0.00894234 - 0.0275217i) q^{65} +(-14.3725 + 10.4422i) q^{66} +11.6895 q^{67} -3.59004 q^{68} +(-12.6148 + 9.16517i) q^{69} +(-0.191888 - 0.139415i) q^{70} +(-5.21904 - 3.79186i) q^{71} +(-0.102361 - 0.315034i) q^{72} +(-2.48509 + 1.80552i) q^{73} +(0.133666 + 0.411383i) q^{74} +(3.88007 - 11.9416i) q^{75} +(5.38463 + 3.91216i) q^{76} +(-4.53590 + 13.9601i) q^{77} +(-1.54248 + 4.74727i) q^{78} +(7.46712 + 5.42518i) q^{79} +(-0.0366477 + 0.112790i) q^{80} +(-2.46585 - 7.58910i) q^{81} +(-15.6066 + 11.3388i) q^{82} +(4.69890 + 14.4617i) q^{83} +(16.3385 + 11.8706i) q^{84} +(0.0431098 + 0.0313211i) q^{85} +(-7.60439 + 5.52491i) q^{86} +12.6102 q^{87} +0.356344 q^{88} +(-10.8878 + 7.91046i) q^{89} +(0.0587961 - 0.180956i) q^{90} +(1.27446 + 3.92238i) q^{91} -12.1035 q^{92} +(-11.7054 + 7.65143i) q^{93} +12.1518 q^{94} +(-0.0305281 - 0.0939557i) q^{95} +(6.16601 - 18.9770i) q^{96} +(3.78509 - 2.75003i) q^{97} +19.8922 q^{98} -11.7749 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.614130 + 1.89010i 0.434255 + 1.33650i 0.893848 + 0.448370i \(0.147995\pi\)
−0.459593 + 0.888130i \(0.652005\pi\)
\(3\) −0.776144 + 2.38873i −0.448107 + 1.37913i 0.430933 + 0.902384i \(0.358184\pi\)
−0.879040 + 0.476748i \(0.841816\pi\)
\(4\) −1.57728 + 1.14596i −0.788638 + 0.572979i
\(5\) 0.0289380 0.0129415 0.00647074 0.999979i \(-0.497940\pi\)
0.00647074 + 0.999979i \(0.497940\pi\)
\(6\) −4.99158 −2.03780
\(7\) −3.33658 + 2.42417i −1.26111 + 0.916249i −0.998812 0.0487387i \(-0.984480\pi\)
−0.262296 + 0.964987i \(0.584480\pi\)
\(8\) 0.0810008 + 0.0588505i 0.0286381 + 0.0208068i
\(9\) −2.67656 1.94463i −0.892187 0.648212i
\(10\) 0.0177717 + 0.0546957i 0.00561991 + 0.0172963i
\(11\) 2.87936 2.09197i 0.868158 0.630754i −0.0619338 0.998080i \(-0.519727\pi\)
0.930092 + 0.367326i \(0.119727\pi\)
\(12\) −1.51319 4.65711i −0.436819 1.34439i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) −6.63100 4.81770i −1.77221 1.28759i
\(15\) −0.0224601 + 0.0691250i −0.00579917 + 0.0178480i
\(16\) −1.26642 + 3.89764i −0.316605 + 0.974410i
\(17\) 1.48973 + 1.08235i 0.361312 + 0.262508i 0.753599 0.657334i \(-0.228316\pi\)
−0.392287 + 0.919843i \(0.628316\pi\)
\(18\) 2.03179 6.25322i 0.478898 1.47390i
\(19\) −1.05495 3.24679i −0.242021 0.744865i −0.996112 0.0880948i \(-0.971922\pi\)
0.754091 0.656770i \(-0.228078\pi\)
\(20\) −0.0456433 + 0.0331618i −0.0102061 + 0.00741520i
\(21\) −3.20100 9.85167i −0.698516 2.14981i
\(22\) 5.72233 + 4.15752i 1.22001 + 0.886386i
\(23\) 5.02249 + 3.64906i 1.04726 + 0.760881i 0.971690 0.236260i \(-0.0759216\pi\)
0.0755726 + 0.997140i \(0.475922\pi\)
\(24\) −0.203446 + 0.147812i −0.0415283 + 0.0301720i
\(25\) −4.99916 −0.999833
\(26\) 1.98737 0.389754
\(27\) 0.626681 0.455311i 0.120605 0.0876246i
\(28\) 2.48471 7.64716i 0.469566 1.44518i
\(29\) −1.55148 4.77496i −0.288102 0.886687i −0.985452 0.169956i \(-0.945637\pi\)
0.697349 0.716731i \(-0.254363\pi\)
\(30\) −0.144446 −0.0263722
\(31\) 4.33742 + 3.49096i 0.779024 + 0.626994i
\(32\) −7.94442 −1.40439
\(33\) 2.76236 + 8.50166i 0.480865 + 1.47995i
\(34\) −1.13086 + 3.48043i −0.193941 + 0.596889i
\(35\) −0.0965540 + 0.0701506i −0.0163206 + 0.0118576i
\(36\) 6.45014 1.07502
\(37\) 0.217652 0.0357817 0.0178909 0.999840i \(-0.494305\pi\)
0.0178909 + 0.999840i \(0.494305\pi\)
\(38\) 5.48888 3.98790i 0.890413 0.646923i
\(39\) 2.03197 + 1.47631i 0.325376 + 0.236399i
\(40\) 0.00234400 + 0.00170302i 0.000370619 + 0.000269271i
\(41\) 2.99954 + 9.23163i 0.468449 + 1.44174i 0.854592 + 0.519300i \(0.173807\pi\)
−0.386143 + 0.922439i \(0.626193\pi\)
\(42\) 16.6548 12.1004i 2.56989 1.86713i
\(43\) 1.46154 + 4.49817i 0.222883 + 0.685964i 0.998500 + 0.0547593i \(0.0174392\pi\)
−0.775616 + 0.631205i \(0.782561\pi\)
\(44\) −2.14422 + 6.59924i −0.323254 + 0.994873i
\(45\) −0.0774544 0.0562739i −0.0115462 0.00838882i
\(46\) −3.81261 + 11.7340i −0.562138 + 1.73008i
\(47\) 1.88949 5.81524i 0.275610 0.848240i −0.713448 0.700709i \(-0.752867\pi\)
0.989057 0.147531i \(-0.0471327\pi\)
\(48\) −8.32747 6.05026i −1.20197 0.873280i
\(49\) 3.09305 9.51944i 0.441865 1.35992i
\(50\) −3.07013 9.44890i −0.434182 1.33628i
\(51\) −3.74168 + 2.71849i −0.523940 + 0.380665i
\(52\) 0.602466 + 1.85420i 0.0835470 + 0.257131i
\(53\) −5.13579 3.73137i −0.705455 0.512543i 0.176249 0.984346i \(-0.443603\pi\)
−0.881704 + 0.471803i \(0.843603\pi\)
\(54\) 1.24544 + 0.904869i 0.169484 + 0.123137i
\(55\) 0.0833229 0.0605376i 0.0112353 0.00816289i
\(56\) −0.412929 −0.0551799
\(57\) 8.57448 1.13572
\(58\) 8.07232 5.86489i 1.05995 0.770097i
\(59\) −1.59918 + 4.92178i −0.208196 + 0.640761i 0.791371 + 0.611336i \(0.209368\pi\)
−0.999567 + 0.0294250i \(0.990632\pi\)
\(60\) −0.0437886 0.134768i −0.00565309 0.0173984i
\(61\) −5.35160 −0.685202 −0.342601 0.939481i \(-0.611308\pi\)
−0.342601 + 0.939481i \(0.611308\pi\)
\(62\) −3.93450 + 10.3420i −0.499683 + 1.31344i
\(63\) 13.6447 1.71907
\(64\) −2.34606 7.22044i −0.293258 0.902554i
\(65\) 0.00894234 0.0275217i 0.00110916 0.00341365i
\(66\) −14.3725 + 10.4422i −1.76913 + 1.28535i
\(67\) 11.6895 1.42810 0.714048 0.700097i \(-0.246860\pi\)
0.714048 + 0.700097i \(0.246860\pi\)
\(68\) −3.59004 −0.435356
\(69\) −12.6148 + 9.16517i −1.51864 + 1.10336i
\(70\) −0.191888 0.139415i −0.0229350 0.0166633i
\(71\) −5.21904 3.79186i −0.619387 0.450011i 0.233321 0.972400i \(-0.425041\pi\)
−0.852707 + 0.522389i \(0.825041\pi\)
\(72\) −0.102361 0.315034i −0.0120633 0.0371271i
\(73\) −2.48509 + 1.80552i −0.290858 + 0.211321i −0.723639 0.690178i \(-0.757532\pi\)
0.432782 + 0.901499i \(0.357532\pi\)
\(74\) 0.133666 + 0.411383i 0.0155384 + 0.0478223i
\(75\) 3.88007 11.9416i 0.448032 1.37890i
\(76\) 5.38463 + 3.91216i 0.617659 + 0.448756i
\(77\) −4.53590 + 13.9601i −0.516914 + 1.59090i
\(78\) −1.54248 + 4.74727i −0.174652 + 0.537523i
\(79\) 7.46712 + 5.42518i 0.840117 + 0.610381i 0.922403 0.386228i \(-0.126222\pi\)
−0.0822865 + 0.996609i \(0.526222\pi\)
\(80\) −0.0366477 + 0.112790i −0.00409734 + 0.0126103i
\(81\) −2.46585 7.58910i −0.273983 0.843233i
\(82\) −15.6066 + 11.3388i −1.72346 + 1.25216i
\(83\) 4.69890 + 14.4617i 0.515772 + 1.58738i 0.781874 + 0.623437i \(0.214264\pi\)
−0.266102 + 0.963945i \(0.585736\pi\)
\(84\) 16.3385 + 11.8706i 1.78267 + 1.29519i
\(85\) 0.0431098 + 0.0313211i 0.00467591 + 0.00339725i
\(86\) −7.60439 + 5.52491i −0.820003 + 0.595767i
\(87\) 12.6102 1.35196
\(88\) 0.356344 0.0379864
\(89\) −10.8878 + 7.91046i −1.15411 + 0.838507i −0.989021 0.147773i \(-0.952790\pi\)
−0.165084 + 0.986279i \(0.552790\pi\)
\(90\) 0.0587961 0.180956i 0.00619765 0.0190744i
\(91\) 1.27446 + 3.92238i 0.133600 + 0.411177i
\(92\) −12.1035 −1.26188
\(93\) −11.7054 + 7.65143i −1.21379 + 0.793416i
\(94\) 12.1518 1.25336
\(95\) −0.0305281 0.0939557i −0.00313211 0.00963965i
\(96\) 6.16601 18.9770i 0.629316 1.93684i
\(97\) 3.78509 2.75003i 0.384318 0.279223i −0.378805 0.925476i \(-0.623665\pi\)
0.763123 + 0.646253i \(0.223665\pi\)
\(98\) 19.8922 2.00942
\(99\) −11.7749 −1.18342
\(100\) 7.88506 5.72883i 0.788506 0.572883i
\(101\) −0.845420 0.614234i −0.0841225 0.0611186i 0.544929 0.838482i \(-0.316557\pi\)
−0.629052 + 0.777364i \(0.716557\pi\)
\(102\) −7.43609 5.40263i −0.736282 0.534940i
\(103\) 3.46523 + 10.6649i 0.341439 + 1.05084i 0.963463 + 0.267842i \(0.0863107\pi\)
−0.622024 + 0.782998i \(0.713689\pi\)
\(104\) 0.0810008 0.0588505i 0.00794278 0.00577077i
\(105\) −0.0926307 0.285088i −0.00903983 0.0278217i
\(106\) 3.89861 11.9987i 0.378666 1.16541i
\(107\) −0.489892 0.355928i −0.0473597 0.0344088i 0.563854 0.825875i \(-0.309318\pi\)
−0.611213 + 0.791466i \(0.709318\pi\)
\(108\) −0.466683 + 1.43630i −0.0449066 + 0.138208i
\(109\) 5.36521 16.5124i 0.513894 1.58160i −0.271391 0.962469i \(-0.587484\pi\)
0.785285 0.619134i \(-0.212516\pi\)
\(110\) 0.165593 + 0.120310i 0.0157887 + 0.0114711i
\(111\) −0.168929 + 0.519910i −0.0160340 + 0.0493477i
\(112\) −5.22302 16.0748i −0.493529 1.51893i
\(113\) 9.79143 7.11389i 0.921100 0.669219i −0.0226973 0.999742i \(-0.507225\pi\)
0.943798 + 0.330524i \(0.107225\pi\)
\(114\) 5.26584 + 16.2066i 0.493192 + 1.51789i
\(115\) 0.145341 + 0.105596i 0.0135531 + 0.00984692i
\(116\) 7.91901 + 5.75350i 0.735262 + 0.534199i
\(117\) −2.67656 + 1.94463i −0.247448 + 0.179782i
\(118\) −10.2847 −0.946787
\(119\) −7.59439 −0.696176
\(120\) −0.00588733 + 0.00427739i −0.000537437 + 0.000390471i
\(121\) 0.515145 1.58545i 0.0468313 0.144132i
\(122\) −3.28658 10.1150i −0.297553 0.915773i
\(123\) −24.3799 −2.19826
\(124\) −10.8418 0.535698i −0.973622 0.0481071i
\(125\) −0.289356 −0.0258808
\(126\) 8.37960 + 25.7897i 0.746514 + 2.29753i
\(127\) −0.652878 + 2.00935i −0.0579335 + 0.178301i −0.975836 0.218506i \(-0.929882\pi\)
0.917902 + 0.396807i \(0.129882\pi\)
\(128\) −0.647801 + 0.470655i −0.0572580 + 0.0416004i
\(129\) −11.8793 −1.04591
\(130\) 0.0575104 0.00504400
\(131\) 2.09827 1.52448i 0.183326 0.133194i −0.492337 0.870405i \(-0.663857\pi\)
0.675663 + 0.737210i \(0.263857\pi\)
\(132\) −14.0996 10.2439i −1.22721 0.891619i
\(133\) 11.3907 + 8.27581i 0.987696 + 0.717603i
\(134\) 7.17885 + 22.0942i 0.620158 + 1.90865i
\(135\) 0.0181349 0.0131758i 0.00156081 0.00113399i
\(136\) 0.0569722 + 0.175342i 0.00488533 + 0.0150355i
\(137\) 2.63937 8.12314i 0.225496 0.694007i −0.772744 0.634717i \(-0.781117\pi\)
0.998241 0.0592894i \(-0.0188835\pi\)
\(138\) −25.0702 18.2145i −2.13411 1.55052i
\(139\) 6.02861 18.5541i 0.511340 1.57374i −0.278504 0.960435i \(-0.589839\pi\)
0.789844 0.613307i \(-0.210161\pi\)
\(140\) 0.0719027 0.221294i 0.00607688 0.0187027i
\(141\) 12.4245 + 9.02693i 1.04633 + 0.760204i
\(142\) 3.96181 12.1932i 0.332468 1.02323i
\(143\) −1.09982 3.38489i −0.0919712 0.283058i
\(144\) 10.9691 7.96954i 0.914095 0.664129i
\(145\) −0.0448967 0.138178i −0.00372847 0.0114750i
\(146\) −4.93878 3.58823i −0.408736 0.296964i
\(147\) 20.3387 + 14.7769i 1.67751 + 1.21878i
\(148\) −0.343297 + 0.249420i −0.0282188 + 0.0205022i
\(149\) 22.4302 1.83755 0.918776 0.394780i \(-0.129179\pi\)
0.918776 + 0.394780i \(0.129179\pi\)
\(150\) 24.9537 2.03746
\(151\) 19.3763 14.0777i 1.57682 1.14563i 0.656598 0.754241i \(-0.271995\pi\)
0.920226 0.391389i \(-0.128005\pi\)
\(152\) 0.105624 0.325077i 0.00856723 0.0263672i
\(153\) −1.88257 5.79395i −0.152197 0.468413i
\(154\) −29.1715 −2.35071
\(155\) 0.125516 + 0.101021i 0.0100817 + 0.00811423i
\(156\) −4.89677 −0.392056
\(157\) −2.85141 8.77573i −0.227567 0.700379i −0.998021 0.0628836i \(-0.979970\pi\)
0.770454 0.637496i \(-0.220030\pi\)
\(158\) −5.66834 + 17.4453i −0.450949 + 1.38788i
\(159\) 12.8993 9.37191i 1.02298 0.743241i
\(160\) −0.229896 −0.0181749
\(161\) −25.6039 −2.01787
\(162\) 12.8298 9.32138i 1.00800 0.732357i
\(163\) 14.3597 + 10.4330i 1.12474 + 0.817172i 0.984921 0.173005i \(-0.0553477\pi\)
0.139820 + 0.990177i \(0.455348\pi\)
\(164\) −15.3102 11.1235i −1.19552 0.868598i
\(165\) 0.0799372 + 0.246021i 0.00622310 + 0.0191527i
\(166\) −24.4483 + 17.7628i −1.89756 + 1.37866i
\(167\) 4.03411 + 12.4157i 0.312169 + 0.960756i 0.976904 + 0.213677i \(0.0685441\pi\)
−0.664736 + 0.747079i \(0.731456\pi\)
\(168\) 0.320492 0.986374i 0.0247265 0.0761004i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −0.0327249 + 0.100717i −0.00250988 + 0.00772463i
\(171\) −3.49020 + 10.7417i −0.266902 + 0.821440i
\(172\) −7.45997 5.41998i −0.568817 0.413270i
\(173\) 2.90061 8.92715i 0.220529 0.678718i −0.778186 0.628034i \(-0.783860\pi\)
0.998715 0.0506842i \(-0.0161402\pi\)
\(174\) 7.74432 + 23.8346i 0.587095 + 1.80689i
\(175\) 16.6801 12.1188i 1.26090 0.916095i
\(176\) 4.50729 + 13.8720i 0.339750 + 1.04564i
\(177\) −10.5156 7.64002i −0.790400 0.574259i
\(178\) −21.6381 15.7210i −1.62184 1.17834i
\(179\) −11.3027 + 8.21187i −0.844801 + 0.613784i −0.923708 0.383098i \(-0.874857\pi\)
0.0789066 + 0.996882i \(0.474857\pi\)
\(180\) 0.186654 0.0139124
\(181\) −4.03005 −0.299551 −0.149775 0.988720i \(-0.547855\pi\)
−0.149775 + 0.988720i \(0.547855\pi\)
\(182\) −6.63100 + 4.81770i −0.491522 + 0.357112i
\(183\) 4.15361 12.7835i 0.307044 0.944984i
\(184\) 0.192077 + 0.591153i 0.0141601 + 0.0435804i
\(185\) 0.00629841 0.000463069
\(186\) −21.6506 17.4254i −1.58750 1.27769i
\(187\) 6.55370 0.479254
\(188\) 3.68378 + 11.3375i 0.268667 + 0.826873i
\(189\) −0.987223 + 3.03836i −0.0718099 + 0.221008i
\(190\) 0.158837 0.115402i 0.0115233 0.00837214i
\(191\) −8.56312 −0.619605 −0.309803 0.950801i \(-0.600263\pi\)
−0.309803 + 0.950801i \(0.600263\pi\)
\(192\) 19.0685 1.37615
\(193\) 16.2732 11.8232i 1.17137 0.851050i 0.180197 0.983631i \(-0.442326\pi\)
0.991172 + 0.132581i \(0.0423265\pi\)
\(194\) 7.52235 + 5.46531i 0.540074 + 0.392386i
\(195\) 0.0588012 + 0.0427216i 0.00421084 + 0.00305936i
\(196\) 6.03028 + 18.5593i 0.430734 + 1.32566i
\(197\) 5.14932 3.74120i 0.366874 0.266549i −0.389040 0.921221i \(-0.627193\pi\)
0.755913 + 0.654672i \(0.227193\pi\)
\(198\) −7.23131 22.2557i −0.513907 1.58164i
\(199\) −0.217774 + 0.670240i −0.0154376 + 0.0475120i −0.958479 0.285165i \(-0.907952\pi\)
0.943041 + 0.332677i \(0.107952\pi\)
\(200\) −0.404936 0.294203i −0.0286333 0.0208033i
\(201\) −9.07271 + 27.9229i −0.639940 + 1.96953i
\(202\) 0.641764 1.97515i 0.0451543 0.138971i
\(203\) 16.7519 + 12.1710i 1.17575 + 0.854235i
\(204\) 2.78639 8.57562i 0.195086 0.600413i
\(205\) 0.0868007 + 0.267145i 0.00606243 + 0.0186582i
\(206\) −18.0295 + 13.0992i −1.25618 + 0.912666i
\(207\) −6.34693 19.5338i −0.441142 1.35770i
\(208\) 3.31553 + 2.40887i 0.229891 + 0.167025i
\(209\) −9.82977 7.14174i −0.679939 0.494005i
\(210\) 0.481957 0.350162i 0.0332582 0.0241635i
\(211\) 12.9806 0.893619 0.446809 0.894629i \(-0.352560\pi\)
0.446809 + 0.894629i \(0.352560\pi\)
\(212\) 12.3765 0.850025
\(213\) 13.1084 9.52384i 0.898175 0.652563i
\(214\) 0.371880 1.14453i 0.0254212 0.0782384i
\(215\) 0.0422942 + 0.130168i 0.00288444 + 0.00887739i
\(216\) 0.0775570 0.00527708
\(217\) −22.9348 1.13322i −1.55692 0.0769278i
\(218\) 34.5050 2.33697
\(219\) −2.38411 7.33754i −0.161103 0.495825i
\(220\) −0.0620496 + 0.190969i −0.00418338 + 0.0128751i
\(221\) 1.48973 1.08235i 0.100210 0.0728068i
\(222\) −1.08643 −0.0729161
\(223\) −9.03884 −0.605285 −0.302643 0.953104i \(-0.597869\pi\)
−0.302643 + 0.953104i \(0.597869\pi\)
\(224\) 26.5072 19.2586i 1.77108 1.28677i
\(225\) 13.3806 + 9.72155i 0.892037 + 0.648103i
\(226\) 19.4592 + 14.1379i 1.29440 + 0.940439i
\(227\) −4.26103 13.1141i −0.282814 0.870413i −0.987045 0.160442i \(-0.948708\pi\)
0.704231 0.709971i \(-0.251292\pi\)
\(228\) −13.5243 + 9.82600i −0.895671 + 0.650743i
\(229\) 7.19054 + 22.1302i 0.475164 + 1.46241i 0.845736 + 0.533602i \(0.179162\pi\)
−0.370572 + 0.928804i \(0.620838\pi\)
\(230\) −0.110329 + 0.339559i −0.00727490 + 0.0223898i
\(231\) −29.8263 21.6701i −1.96242 1.42578i
\(232\) 0.155338 0.478081i 0.0101984 0.0313875i
\(233\) 0.409606 1.26064i 0.0268342 0.0825871i −0.936743 0.350019i \(-0.886175\pi\)
0.963577 + 0.267432i \(0.0861751\pi\)
\(234\) −5.31930 3.86470i −0.347734 0.252643i
\(235\) 0.0546780 0.168282i 0.00356680 0.0109775i
\(236\) −3.11780 9.59560i −0.202951 0.624620i
\(237\) −18.7548 + 13.6262i −1.21826 + 0.885116i
\(238\) −4.66394 14.3541i −0.302318 0.930440i
\(239\) −24.4347 17.7529i −1.58055 1.14834i −0.916059 0.401043i \(-0.868648\pi\)
−0.664493 0.747295i \(-0.731352\pi\)
\(240\) −0.240981 0.175083i −0.0155552 0.0113015i
\(241\) −0.735638 + 0.534472i −0.0473866 + 0.0344284i −0.611226 0.791456i \(-0.709324\pi\)
0.563840 + 0.825884i \(0.309324\pi\)
\(242\) 3.31302 0.212969
\(243\) 22.3660 1.43478
\(244\) 8.44095 6.13271i 0.540377 0.392607i
\(245\) 0.0895069 0.275474i 0.00571839 0.0175994i
\(246\) −14.9724 46.0804i −0.954607 2.93798i
\(247\) −3.41388 −0.217220
\(248\) 0.145890 + 0.538030i 0.00926403 + 0.0341649i
\(249\) −38.1921 −2.42033
\(250\) −0.177702 0.546911i −0.0112389 0.0345897i
\(251\) 4.06751 12.5185i 0.256739 0.790161i −0.736743 0.676172i \(-0.763637\pi\)
0.993482 0.113988i \(-0.0363626\pi\)
\(252\) −21.5214 + 15.6362i −1.35572 + 0.984989i
\(253\) 22.0953 1.38912
\(254\) −4.19882 −0.263457
\(255\) −0.108277 + 0.0786677i −0.00678056 + 0.00492637i
\(256\) −13.5716 9.86031i −0.848222 0.616270i
\(257\) 0.935981 + 0.680030i 0.0583849 + 0.0424191i 0.616595 0.787281i \(-0.288512\pi\)
−0.558210 + 0.829700i \(0.688512\pi\)
\(258\) −7.29540 22.4529i −0.454192 1.39786i
\(259\) −0.726212 + 0.527624i −0.0451246 + 0.0327850i
\(260\) 0.0174342 + 0.0536569i 0.00108122 + 0.00332766i
\(261\) −5.13293 + 15.7975i −0.317720 + 0.977842i
\(262\) 4.17002 + 3.02970i 0.257625 + 0.187175i
\(263\) −0.594817 + 1.83066i −0.0366780 + 0.112883i −0.967719 0.252031i \(-0.918902\pi\)
0.931041 + 0.364914i \(0.118902\pi\)
\(264\) −0.276574 + 0.851208i −0.0170220 + 0.0523882i
\(265\) −0.148620 0.107978i −0.00912963 0.00663306i
\(266\) −8.64673 + 26.6119i −0.530165 + 1.63168i
\(267\) −10.4454 32.1476i −0.639248 1.96740i
\(268\) −18.4375 + 13.3956i −1.12625 + 0.818269i
\(269\) −2.32551 7.15718i −0.141789 0.436381i 0.854795 0.518965i \(-0.173683\pi\)
−0.996584 + 0.0825843i \(0.973683\pi\)
\(270\) 0.0360407 + 0.0261851i 0.00219337 + 0.00159358i
\(271\) 13.9140 + 10.1091i 0.845214 + 0.614084i 0.923822 0.382822i \(-0.125048\pi\)
−0.0786084 + 0.996906i \(0.525048\pi\)
\(272\) −6.10523 + 4.43571i −0.370184 + 0.268954i
\(273\) −10.3587 −0.626935
\(274\) 16.9744 1.02546
\(275\) −14.3944 + 10.4581i −0.868013 + 0.630648i
\(276\) 9.39408 28.9120i 0.565457 1.74030i
\(277\) −1.12939 3.47589i −0.0678582 0.208846i 0.911377 0.411572i \(-0.135020\pi\)
−0.979236 + 0.202726i \(0.935020\pi\)
\(278\) 38.7715 2.32536
\(279\) −4.82074 17.7785i −0.288610 1.06437i
\(280\) −0.0119493 −0.000714110
\(281\) 7.83882 + 24.1254i 0.467625 + 1.43920i 0.855651 + 0.517553i \(0.173157\pi\)
−0.388026 + 0.921648i \(0.626843\pi\)
\(282\) −9.43151 + 29.0272i −0.561638 + 1.72854i
\(283\) −26.1971 + 19.0333i −1.55726 + 1.13141i −0.619045 + 0.785355i \(0.712480\pi\)
−0.938213 + 0.346059i \(0.887520\pi\)
\(284\) 12.5772 0.746319
\(285\) 0.248129 0.0146979
\(286\) 5.72233 4.15752i 0.338369 0.245839i
\(287\) −32.3872 23.5307i −1.91176 1.38897i
\(288\) 21.2637 + 15.4490i 1.25298 + 0.910340i
\(289\) −4.20548 12.9431i −0.247381 0.761362i
\(290\) 0.233597 0.169718i 0.0137173 0.00996620i
\(291\) 3.63129 + 11.1760i 0.212870 + 0.655146i
\(292\) 1.85062 5.69562i 0.108299 0.333311i
\(293\) 1.92872 + 1.40130i 0.112677 + 0.0818648i 0.642697 0.766121i \(-0.277815\pi\)
−0.530020 + 0.847985i \(0.677815\pi\)
\(294\) −15.4392 + 47.5170i −0.900433 + 2.77125i
\(295\) −0.0462772 + 0.142427i −0.00269436 + 0.00829240i
\(296\) 0.0176300 + 0.0128089i 0.00102472 + 0.000744503i
\(297\) 0.851940 2.62200i 0.0494346 0.152144i
\(298\) 13.7750 + 42.3952i 0.797966 + 2.45589i
\(299\) 5.02249 3.64906i 0.290458 0.211030i
\(300\) 7.56466 + 23.2816i 0.436746 + 1.34417i
\(301\) −15.7809 11.4655i −0.909593 0.660858i
\(302\) 38.5078 + 27.9776i 2.21588 + 1.60993i
\(303\) 2.12340 1.54274i 0.121986 0.0886283i
\(304\) 13.9908 0.802429
\(305\) −0.154865 −0.00886753
\(306\) 9.79499 7.11647i 0.559942 0.406822i
\(307\) 4.58540 14.1124i 0.261703 0.805438i −0.730732 0.682664i \(-0.760821\pi\)
0.992435 0.122774i \(-0.0391789\pi\)
\(308\) −8.84329 27.2168i −0.503893 1.55082i
\(309\) −28.1650 −1.60225
\(310\) −0.113857 + 0.299278i −0.00646663 + 0.0169979i
\(311\) −21.1895 −1.20155 −0.600774 0.799419i \(-0.705141\pi\)
−0.600774 + 0.799419i \(0.705141\pi\)
\(312\) 0.0777095 + 0.239165i 0.00439943 + 0.0135401i
\(313\) 6.71310 20.6608i 0.379447 1.16782i −0.560982 0.827828i \(-0.689576\pi\)
0.940429 0.339990i \(-0.110424\pi\)
\(314\) 14.8358 10.7789i 0.837235 0.608287i
\(315\) 0.394850 0.0222473
\(316\) −17.9947 −1.01228
\(317\) 13.4546 9.77537i 0.755688 0.549039i −0.141897 0.989881i \(-0.545320\pi\)
0.897585 + 0.440842i \(0.145320\pi\)
\(318\) 25.6357 + 18.6254i 1.43758 + 1.04446i
\(319\) −14.4563 10.5031i −0.809400 0.588063i
\(320\) −0.0678904 0.208945i −0.00379519 0.0116804i
\(321\) 1.23044 0.893967i 0.0686765 0.0498964i
\(322\) −15.7241 48.3938i −0.876269 2.69688i
\(323\) 1.94258 5.97865i 0.108088 0.332661i
\(324\) 12.5861 + 9.14435i 0.699229 + 0.508019i
\(325\) −1.54483 + 4.75449i −0.0856915 + 0.263731i
\(326\) −10.9006 + 33.5485i −0.603726 + 1.85808i
\(327\) 35.2795 + 25.6320i 1.95096 + 1.41746i
\(328\) −0.300321 + 0.924294i −0.0165825 + 0.0510356i
\(329\) 7.79269 + 23.9834i 0.429625 + 1.32225i
\(330\) −0.415912 + 0.302178i −0.0228952 + 0.0166344i
\(331\) 1.54288 + 4.74850i 0.0848044 + 0.261001i 0.984463 0.175593i \(-0.0561844\pi\)
−0.899658 + 0.436595i \(0.856184\pi\)
\(332\) −23.9840 17.4254i −1.31629 0.956343i
\(333\) −0.582558 0.423253i −0.0319240 0.0231941i
\(334\) −20.9894 + 15.2497i −1.14849 + 0.834427i
\(335\) 0.338270 0.0184817
\(336\) 42.4521 2.31595
\(337\) −14.5250 + 10.5530i −0.791226 + 0.574859i −0.908327 0.418261i \(-0.862640\pi\)
0.117101 + 0.993120i \(0.462640\pi\)
\(338\) 0.614130 1.89010i 0.0334042 0.102808i
\(339\) 9.39357 + 28.9104i 0.510189 + 1.57020i
\(340\) −0.103889 −0.00563415
\(341\) 19.7920 + 0.977929i 1.07180 + 0.0529578i
\(342\) −22.4463 −1.21376
\(343\) 3.83527 + 11.8038i 0.207085 + 0.637343i
\(344\) −0.146333 + 0.450368i −0.00788976 + 0.0242822i
\(345\) −0.365047 + 0.265222i −0.0196535 + 0.0142791i
\(346\) 18.6545 1.00287
\(347\) −10.5802 −0.567976 −0.283988 0.958828i \(-0.591658\pi\)
−0.283988 + 0.958828i \(0.591658\pi\)
\(348\) −19.8898 + 14.4508i −1.06621 + 0.774644i
\(349\) 2.92254 + 2.12335i 0.156440 + 0.113660i 0.663251 0.748397i \(-0.269176\pi\)
−0.506812 + 0.862057i \(0.669176\pi\)
\(350\) 33.1494 + 24.0845i 1.77191 + 1.28737i
\(351\) −0.239371 0.736708i −0.0127767 0.0393226i
\(352\) −22.8748 + 16.6195i −1.21923 + 0.885823i
\(353\) 10.3148 + 31.7455i 0.548999 + 1.68964i 0.711287 + 0.702901i \(0.248112\pi\)
−0.162289 + 0.986743i \(0.551888\pi\)
\(354\) 7.98244 24.5674i 0.424262 1.30574i
\(355\) −0.151029 0.109729i −0.00801578 0.00582380i
\(356\) 8.10803 24.9539i 0.429725 1.32256i
\(357\) 5.89434 18.1409i 0.311962 0.960119i
\(358\) −22.4625 16.3200i −1.18718 0.862538i
\(359\) −2.47188 + 7.60767i −0.130461 + 0.401517i −0.994856 0.101295i \(-0.967701\pi\)
0.864395 + 0.502813i \(0.167701\pi\)
\(360\) −0.00296212 0.00911646i −0.000156117 0.000480480i
\(361\) 5.94258 4.31754i 0.312767 0.227239i
\(362\) −2.47497 7.61718i −0.130082 0.400350i
\(363\) 3.38738 + 2.46108i 0.177792 + 0.129173i
\(364\) −6.50506 4.72620i −0.340958 0.247720i
\(365\) −0.0719136 + 0.0522483i −0.00376413 + 0.00273480i
\(366\) 26.7129 1.39631
\(367\) −21.5010 −1.12234 −0.561171 0.827700i \(-0.689649\pi\)
−0.561171 + 0.827700i \(0.689649\pi\)
\(368\) −20.5833 + 14.9546i −1.07298 + 0.779564i
\(369\) 9.92371 30.5420i 0.516607 1.58995i
\(370\) 0.00386804 + 0.0119046i 0.000201090 + 0.000618891i
\(371\) 26.1814 1.35927
\(372\) 9.69443 25.4823i 0.502633 1.32120i
\(373\) −4.74504 −0.245689 −0.122844 0.992426i \(-0.539202\pi\)
−0.122844 + 0.992426i \(0.539202\pi\)
\(374\) 4.02482 + 12.3871i 0.208119 + 0.640523i
\(375\) 0.224582 0.691192i 0.0115974 0.0356930i
\(376\) 0.495280 0.359842i 0.0255421 0.0185574i
\(377\) −5.02069 −0.258579
\(378\) −6.34908 −0.326561
\(379\) −1.71053 + 1.24277i −0.0878640 + 0.0638369i −0.630850 0.775905i \(-0.717294\pi\)
0.542986 + 0.839742i \(0.317294\pi\)
\(380\) 0.155821 + 0.113210i 0.00799342 + 0.00580756i
\(381\) −4.29306 3.11909i −0.219940 0.159796i
\(382\) −5.25886 16.1851i −0.269067 0.828103i
\(383\) 9.91429 7.20315i 0.506596 0.368064i −0.304934 0.952373i \(-0.598635\pi\)
0.811531 + 0.584309i \(0.198635\pi\)
\(384\) −0.621479 1.91271i −0.0317147 0.0976078i
\(385\) −0.131260 + 0.403977i −0.00668963 + 0.0205886i
\(386\) 32.3408 + 23.4969i 1.64610 + 1.19596i
\(387\) 4.83538 14.8818i 0.245796 0.756483i
\(388\) −2.81871 + 8.67511i −0.143098 + 0.440412i
\(389\) −19.5272 14.1873i −0.990067 0.719326i −0.0301314 0.999546i \(-0.509593\pi\)
−0.959936 + 0.280220i \(0.909593\pi\)
\(390\) −0.0446364 + 0.137377i −0.00226025 + 0.00695634i
\(391\) 3.53259 + 10.8722i 0.178651 + 0.549831i
\(392\) 0.810764 0.589055i 0.0409498 0.0297517i
\(393\) 2.01301 + 6.19540i 0.101543 + 0.312517i
\(394\) 10.2336 + 7.43512i 0.515560 + 0.374576i
\(395\) 0.216084 + 0.156994i 0.0108724 + 0.00789923i
\(396\) 18.5723 13.4935i 0.933291 0.678076i
\(397\) −25.2670 −1.26812 −0.634058 0.773286i \(-0.718612\pi\)
−0.634058 + 0.773286i \(0.718612\pi\)
\(398\) −1.40056 −0.0702037
\(399\) −28.6094 + 20.7860i −1.43226 + 1.04060i
\(400\) 6.33104 19.4849i 0.316552 0.974247i
\(401\) 4.21063 + 12.9590i 0.210269 + 0.647141i 0.999456 + 0.0329879i \(0.0105023\pi\)
−0.789187 + 0.614153i \(0.789498\pi\)
\(402\) −58.3489 −2.91018
\(403\) 4.66043 3.04637i 0.232153 0.151750i
\(404\) 2.03735 0.101362
\(405\) −0.0713568 0.219614i −0.00354575 0.0109127i
\(406\) −12.7165 + 39.1373i −0.631108 + 1.94235i
\(407\) 0.626697 0.455322i 0.0310642 0.0225695i
\(408\) −0.463064 −0.0229251
\(409\) −25.7961 −1.27554 −0.637768 0.770228i \(-0.720142\pi\)
−0.637768 + 0.770228i \(0.720142\pi\)
\(410\) −0.451623 + 0.328124i −0.0223041 + 0.0162049i
\(411\) 17.3554 + 12.6095i 0.856080 + 0.621979i
\(412\) −17.6871 12.8504i −0.871381 0.633096i
\(413\) −6.59541 20.2986i −0.324539 0.998828i
\(414\) 33.0230 23.9926i 1.62299 1.17917i
\(415\) 0.135977 + 0.418494i 0.00667485 + 0.0205431i
\(416\) −2.45496 + 7.55559i −0.120364 + 0.370443i
\(417\) 39.6417 + 28.8014i 1.94126 + 1.41041i
\(418\) 7.46184 22.9652i 0.364970 1.12326i
\(419\) −2.56798 + 7.90343i −0.125454 + 0.386108i −0.993984 0.109530i \(-0.965066\pi\)
0.868529 + 0.495638i \(0.165066\pi\)
\(420\) 0.472803 + 0.343512i 0.0230704 + 0.0167616i
\(421\) 6.59768 20.3056i 0.321551 0.989634i −0.651422 0.758716i \(-0.725827\pi\)
0.972973 0.230918i \(-0.0741728\pi\)
\(422\) 7.97175 + 24.5345i 0.388059 + 1.19432i
\(423\) −16.3658 + 11.8905i −0.795734 + 0.578135i
\(424\) −0.196410 0.604488i −0.00953851 0.0293565i
\(425\) −7.44739 5.41084i −0.361251 0.262465i
\(426\) 26.0513 + 18.9273i 1.26219 + 0.917033i
\(427\) 17.8560 12.9732i 0.864114 0.627816i
\(428\) 1.18057 0.0570652
\(429\) 8.93918 0.431588
\(430\) −0.220056 + 0.159880i −0.0106120 + 0.00771010i
\(431\) 7.96203 24.5046i 0.383517 1.18034i −0.554033 0.832495i \(-0.686912\pi\)
0.937550 0.347850i \(-0.113088\pi\)
\(432\) 0.980995 + 3.01919i 0.0471982 + 0.145261i
\(433\) 5.27992 0.253737 0.126868 0.991920i \(-0.459507\pi\)
0.126868 + 0.991920i \(0.459507\pi\)
\(434\) −11.9431 44.0449i −0.573285 2.11422i
\(435\) 0.364915 0.0174964
\(436\) 10.4601 + 32.1930i 0.500949 + 1.54176i
\(437\) 6.54926 20.1565i 0.313294 0.964219i
\(438\) 12.4045 9.01241i 0.592711 0.430629i
\(439\) −10.3778 −0.495304 −0.247652 0.968849i \(-0.579659\pi\)
−0.247652 + 0.968849i \(0.579659\pi\)
\(440\) 0.0103119 0.000491600
\(441\) −26.7906 + 19.4645i −1.27574 + 0.926881i
\(442\) 2.96063 + 2.15103i 0.140823 + 0.102314i
\(443\) −21.8083 15.8446i −1.03614 0.752801i −0.0666131 0.997779i \(-0.521219\pi\)
−0.969529 + 0.244978i \(0.921219\pi\)
\(444\) −0.329348 1.01363i −0.0156302 0.0481047i
\(445\) −0.315072 + 0.228913i −0.0149358 + 0.0108515i
\(446\) −5.55102 17.0843i −0.262848 0.808964i
\(447\) −17.4090 + 53.5795i −0.823419 + 2.53422i
\(448\) 25.3314 + 18.4043i 1.19679 + 0.869522i
\(449\) 3.93033 12.0963i 0.185484 0.570860i −0.814473 0.580202i \(-0.802974\pi\)
0.999956 + 0.00934173i \(0.00297361\pi\)
\(450\) −10.1573 + 31.2608i −0.478818 + 1.47365i
\(451\) 27.9491 + 20.3062i 1.31607 + 0.956181i
\(452\) −7.29157 + 22.4411i −0.342967 + 1.05554i
\(453\) 18.5890 + 57.2111i 0.873388 + 2.68801i
\(454\) 22.1701 16.1075i 1.04049 0.755963i
\(455\) 0.0368803 + 0.113506i 0.00172898 + 0.00532124i
\(456\) 0.694540 + 0.504613i 0.0325248 + 0.0236307i
\(457\) 27.2666 + 19.8104i 1.27548 + 0.926690i 0.999407 0.0344462i \(-0.0109667\pi\)
0.276073 + 0.961137i \(0.410967\pi\)
\(458\) −37.4123 + 27.1816i −1.74816 + 1.27011i
\(459\) 1.42639 0.0665782
\(460\) −0.350252 −0.0163306
\(461\) 17.7765 12.9154i 0.827934 0.601529i −0.0910400 0.995847i \(-0.529019\pi\)
0.918974 + 0.394318i \(0.129019\pi\)
\(462\) 22.6413 69.6827i 1.05337 3.24193i
\(463\) 3.33573 + 10.2663i 0.155025 + 0.477116i 0.998163 0.0605795i \(-0.0192949\pi\)
−0.843139 + 0.537696i \(0.819295\pi\)
\(464\) 20.5759 0.955212
\(465\) −0.338731 + 0.221417i −0.0157083 + 0.0102680i
\(466\) 2.63428 0.122031
\(467\) −1.17331 3.61108i −0.0542944 0.167101i 0.920232 0.391373i \(-0.128000\pi\)
−0.974527 + 0.224272i \(0.928000\pi\)
\(468\) 1.99320 6.13445i 0.0921359 0.283565i
\(469\) −39.0028 + 28.3372i −1.80098 + 1.30849i
\(470\) 0.351648 0.0162203
\(471\) 23.1759 1.06789
\(472\) −0.419184 + 0.304555i −0.0192945 + 0.0140183i
\(473\) 13.6183 + 9.89431i 0.626172 + 0.454941i
\(474\) −37.2727 27.0802i −1.71199 1.24383i
\(475\) 5.27385 + 16.2312i 0.241981 + 0.744740i
\(476\) 11.9784 8.70285i 0.549031 0.398895i
\(477\) 6.49010 + 19.9745i 0.297161 + 0.914568i
\(478\) 18.5486 57.0866i 0.848391 2.61108i
\(479\) −12.7860 9.28956i −0.584207 0.424451i 0.256032 0.966668i \(-0.417585\pi\)
−0.840238 + 0.542217i \(0.817585\pi\)
\(480\) 0.178432 0.549158i 0.00814428 0.0250655i
\(481\) 0.0672581 0.206999i 0.00306671 0.00943835i
\(482\) −1.46198 1.06219i −0.0665914 0.0483815i
\(483\) 19.8723 61.1606i 0.904220 2.78290i
\(484\) 1.00434 + 3.09103i 0.0456517 + 0.140501i
\(485\) 0.109533 0.0795804i 0.00497364 0.00361356i
\(486\) 13.7356 + 42.2739i 0.623060 + 1.91758i
\(487\) −22.6311 16.4425i −1.02551 0.745080i −0.0581081 0.998310i \(-0.518507\pi\)
−0.967406 + 0.253231i \(0.918507\pi\)
\(488\) −0.433484 0.314944i −0.0196229 0.0142569i
\(489\) −36.0667 + 26.2040i −1.63099 + 1.18498i
\(490\) 0.575641 0.0260048
\(491\) 34.9225 1.57603 0.788014 0.615657i \(-0.211109\pi\)
0.788014 + 0.615657i \(0.211109\pi\)
\(492\) 38.4538 27.9384i 1.73363 1.25956i
\(493\) 2.85690 8.79263i 0.128668 0.396000i
\(494\) −2.09656 6.45256i −0.0943289 0.290314i
\(495\) −0.340742 −0.0153152
\(496\) −19.0995 + 12.4847i −0.857592 + 0.560579i
\(497\) 26.6058 1.19344
\(498\) −23.4549 72.1868i −1.05104 3.23477i
\(499\) −4.25389 + 13.0921i −0.190430 + 0.586084i −1.00000 0.000940050i \(-0.999701\pi\)
0.809569 + 0.587024i \(0.199701\pi\)
\(500\) 0.456394 0.331590i 0.0204106 0.0148292i
\(501\) −32.7888 −1.46489
\(502\) 26.1591 1.16754
\(503\) 12.5005 9.08217i 0.557371 0.404954i −0.273125 0.961979i \(-0.588057\pi\)
0.830496 + 0.557025i \(0.188057\pi\)
\(504\) 1.10523 + 0.802996i 0.0492308 + 0.0357683i
\(505\) −0.0244648 0.0177747i −0.00108867 0.000790965i
\(506\) 13.5694 + 41.7622i 0.603232 + 1.85656i
\(507\) 2.03197 1.47631i 0.0902430 0.0655654i
\(508\) −1.27286 3.91747i −0.0564742 0.173810i
\(509\) 2.13340 6.56594i 0.0945614 0.291030i −0.892578 0.450894i \(-0.851105\pi\)
0.987139 + 0.159863i \(0.0511054\pi\)
\(510\) −0.215186 0.156342i −0.00952858 0.00692292i
\(511\) 3.91481 12.0485i 0.173181 0.532996i
\(512\) 9.80737 30.1840i 0.433429 1.33396i
\(513\) −2.13941 1.55438i −0.0944574 0.0686273i
\(514\) −0.710509 + 2.18672i −0.0313392 + 0.0964522i
\(515\) 0.100277 + 0.308620i 0.00441872 + 0.0135994i
\(516\) 18.7369 13.6131i 0.824844 0.599285i
\(517\) −6.72483 20.6969i −0.295758 0.910248i
\(518\) −1.44325 1.04858i −0.0634127 0.0460720i
\(519\) 19.0732 + 13.8575i 0.837221 + 0.608277i
\(520\) 0.00234400 0.00170302i 0.000102791 7.46823e-5i
\(521\) −8.86111 −0.388212 −0.194106 0.980981i \(-0.562181\pi\)
−0.194106 + 0.980981i \(0.562181\pi\)
\(522\) −33.0111 −1.44486
\(523\) −25.4313 + 18.4769i −1.11203 + 0.807939i −0.982983 0.183699i \(-0.941193\pi\)
−0.129050 + 0.991638i \(0.541193\pi\)
\(524\) −1.56256 + 4.80905i −0.0682605 + 0.210084i
\(525\) 16.0023 + 49.2501i 0.698399 + 2.14945i
\(526\) −3.82542 −0.166796
\(527\) 2.68314 + 9.89518i 0.116879 + 0.431041i
\(528\) −36.6347 −1.59432
\(529\) 4.80245 + 14.7804i 0.208802 + 0.642627i
\(530\) 0.112818 0.347218i 0.00490050 0.0150822i
\(531\) 13.8514 10.0636i 0.601098 0.436724i
\(532\) −27.4500 −1.19011
\(533\) 9.70671 0.420444
\(534\) 54.3473 39.4856i 2.35184 1.70871i
\(535\) −0.0141765 0.0102998i −0.000612904 0.000445301i
\(536\) 0.946856 + 0.687931i 0.0408980 + 0.0297141i
\(537\) −10.8434 33.3726i −0.467927 1.44013i
\(538\) 12.0996 8.79087i 0.521651 0.379001i
\(539\) −11.0084 33.8804i −0.474166 1.45933i
\(540\) −0.0135049 + 0.0415637i −0.000581157 + 0.00178862i
\(541\) 15.1972 + 11.0414i 0.653380 + 0.474709i 0.864421 0.502769i \(-0.167685\pi\)
−0.211041 + 0.977477i \(0.567685\pi\)
\(542\) −10.5622 + 32.5071i −0.453685 + 1.39630i
\(543\) 3.12790 9.62668i 0.134231 0.413120i
\(544\) −11.8350 8.59864i −0.507422 0.368664i
\(545\) 0.155259 0.477837i 0.00665055 0.0204683i
\(546\) −6.36156 19.5789i −0.272250 0.837898i
\(547\) −35.3731 + 25.7000i −1.51244 + 1.09885i −0.547365 + 0.836894i \(0.684369\pi\)
−0.965079 + 0.261960i \(0.915631\pi\)
\(548\) 5.14577 + 15.8370i 0.219816 + 0.676525i
\(549\) 14.3239 + 10.4069i 0.611328 + 0.444156i
\(550\) −28.6069 20.7841i −1.21980 0.886237i
\(551\) −13.8666 + 10.0746i −0.590735 + 0.429194i
\(552\) −1.56118 −0.0664483
\(553\) −38.0662 −1.61874
\(554\) 5.87618 4.26930i 0.249655 0.181385i
\(555\) −0.00488848 + 0.0150452i −0.000207504 + 0.000638632i
\(556\) 11.7535 + 36.1736i 0.498459 + 1.53410i
\(557\) −36.1298 −1.53087 −0.765435 0.643514i \(-0.777476\pi\)
−0.765435 + 0.643514i \(0.777476\pi\)
\(558\) 30.6424 20.0299i 1.29720 0.847935i
\(559\) 4.72965 0.200043
\(560\) −0.151144 0.465173i −0.00638699 0.0196571i
\(561\) −5.08662 + 15.6550i −0.214757 + 0.660955i
\(562\) −40.7853 + 29.6323i −1.72042 + 1.24996i
\(563\) 1.47859 0.0623153 0.0311576 0.999514i \(-0.490081\pi\)
0.0311576 + 0.999514i \(0.490081\pi\)
\(564\) −29.9413 −1.26076
\(565\) 0.283345 0.205862i 0.0119204 0.00866068i
\(566\) −52.0633 37.8262i −2.18838 1.58995i
\(567\) 26.6247 + 19.3440i 1.11813 + 0.812372i
\(568\) −0.199594 0.614287i −0.00837478 0.0257749i
\(569\) −16.5411 + 12.0178i −0.693441 + 0.503814i −0.877789 0.479047i \(-0.840982\pi\)
0.184349 + 0.982861i \(0.440982\pi\)
\(570\) 0.152383 + 0.468987i 0.00638263 + 0.0196437i
\(571\) 8.70510 26.7915i 0.364297 1.12119i −0.586123 0.810222i \(-0.699347\pi\)
0.950420 0.310969i \(-0.100653\pi\)
\(572\) 5.61365 + 4.07856i 0.234719 + 0.170533i
\(573\) 6.64621 20.4549i 0.277649 0.854517i
\(574\) 24.5853 75.6658i 1.02617 3.15823i
\(575\) −25.1083 18.2422i −1.04709 0.760753i
\(576\) −7.76174 + 23.8882i −0.323406 + 0.995340i
\(577\) −8.25366 25.4022i −0.343604 1.05751i −0.962327 0.271896i \(-0.912349\pi\)
0.618722 0.785610i \(-0.287651\pi\)
\(578\) 21.8811 15.8975i 0.910133 0.661251i
\(579\) 15.6119 + 48.0486i 0.648810 + 1.99683i
\(580\) 0.229161 + 0.166495i 0.00951537 + 0.00691332i
\(581\) −50.7359 36.8618i −2.10488 1.52928i
\(582\) −18.8936 + 13.7270i −0.783163 + 0.569001i
\(583\) −22.5937 −0.935735
\(584\) −0.307550 −0.0127265
\(585\) −0.0774544 + 0.0562739i −0.00320234 + 0.00232664i
\(586\) −1.46411 + 4.50605i −0.0604816 + 0.186143i
\(587\) −3.57960 11.0169i −0.147746 0.454715i 0.849608 0.527415i \(-0.176839\pi\)
−0.997354 + 0.0726997i \(0.976839\pi\)
\(588\) −49.0134 −2.02128
\(589\) 6.75866 17.7655i 0.278486 0.732014i
\(590\) −0.297620 −0.0122528
\(591\) 4.94008 + 15.2040i 0.203208 + 0.625409i
\(592\) −0.275639 + 0.848328i −0.0113287 + 0.0348661i
\(593\) −20.3767 + 14.8045i −0.836770 + 0.607949i −0.921466 0.388458i \(-0.873008\pi\)
0.0846969 + 0.996407i \(0.473008\pi\)
\(594\) 5.47904 0.224808
\(595\) −0.219767 −0.00900955
\(596\) −35.3786 + 25.7040i −1.44916 + 1.05288i
\(597\) −1.43200 1.04041i −0.0586077 0.0425810i
\(598\) 9.98153 + 7.25201i 0.408175 + 0.296557i
\(599\) −3.75307 11.5508i −0.153346 0.471951i 0.844643 0.535329i \(-0.179812\pi\)
−0.997990 + 0.0633784i \(0.979812\pi\)
\(600\) 1.01706 0.738937i 0.0415213 0.0301670i
\(601\) 9.34302 + 28.7548i 0.381110 + 1.17293i 0.939263 + 0.343197i \(0.111510\pi\)
−0.558154 + 0.829737i \(0.688490\pi\)
\(602\) 11.9793 36.8686i 0.488241 1.50265i
\(603\) −31.2876 22.7317i −1.27413 0.925708i
\(604\) −14.4293 + 44.4089i −0.587121 + 1.80697i
\(605\) 0.0149073 0.0458799i 0.000606067 0.00186528i
\(606\) 4.21998 + 3.06599i 0.171425 + 0.124548i
\(607\) 12.4287 38.2516i 0.504465 1.55258i −0.297204 0.954814i \(-0.596054\pi\)
0.801669 0.597769i \(-0.203946\pi\)
\(608\) 8.38093 + 25.7939i 0.339892 + 1.04608i
\(609\) −42.0750 + 30.5693i −1.70497 + 1.23873i
\(610\) −0.0951070 0.292709i −0.00385077 0.0118515i
\(611\) −4.94674 3.59402i −0.200124 0.145398i
\(612\) 9.60896 + 6.98132i 0.388419 + 0.282203i
\(613\) −12.6431 + 9.18575i −0.510650 + 0.371009i −0.813070 0.582166i \(-0.802205\pi\)
0.302420 + 0.953175i \(0.402205\pi\)
\(614\) 29.4899 1.19011
\(615\) −0.705506 −0.0284488
\(616\) −1.18897 + 0.863837i −0.0479049 + 0.0348050i
\(617\) −9.51951 + 29.2980i −0.383241 + 1.17949i 0.554508 + 0.832179i \(0.312907\pi\)
−0.937748 + 0.347315i \(0.887093\pi\)
\(618\) −17.2969 53.2345i −0.695785 2.14141i
\(619\) 29.0635 1.16816 0.584080 0.811696i \(-0.301455\pi\)
0.584080 + 0.811696i \(0.301455\pi\)
\(620\) −0.313740 0.0155020i −0.0126001 0.000622577i
\(621\) 4.80896 0.192977
\(622\) −13.0131 40.0502i −0.521778 1.60587i
\(623\) 17.1518 52.7877i 0.687171 2.11490i
\(624\) −8.32747 + 6.05026i −0.333366 + 0.242204i
\(625\) 24.9874 0.999498
\(626\) 43.1736 1.72556
\(627\) 24.6890 17.9376i 0.985983 0.716359i
\(628\) 14.5541 + 10.5742i 0.580771 + 0.421955i
\(629\) 0.324242 + 0.235575i 0.0129284 + 0.00939301i
\(630\) 0.242489 + 0.746304i 0.00966099 + 0.0297335i
\(631\) 1.70372 1.23782i 0.0678240 0.0492770i −0.553357 0.832944i \(-0.686653\pi\)
0.621181 + 0.783667i \(0.286653\pi\)
\(632\) 0.285568 + 0.878888i 0.0113593 + 0.0349603i
\(633\) −10.0748 + 31.0070i −0.400437 + 1.23242i
\(634\) 26.7393 + 19.4272i 1.06195 + 0.771554i
\(635\) −0.0188930 + 0.0581466i −0.000749745 + 0.00230748i
\(636\) −9.60599 + 29.5642i −0.380902 + 1.17230i
\(637\) −8.09772 5.88334i −0.320843 0.233106i
\(638\) 10.9739 33.7742i 0.434461 1.33713i
\(639\) 6.59531 + 20.2983i 0.260906 + 0.802987i
\(640\) −0.0187461 + 0.0136198i −0.000741004 + 0.000538371i
\(641\) −11.4430 35.2181i −0.451973 1.39103i −0.874652 0.484751i \(-0.838910\pi\)
0.422679 0.906279i \(-0.361090\pi\)
\(642\) 2.44534 + 1.77664i 0.0965097 + 0.0701184i
\(643\) 32.5591 + 23.6556i 1.28401 + 0.932885i 0.999666 0.0258384i \(-0.00822553\pi\)
0.284340 + 0.958723i \(0.408226\pi\)
\(644\) 40.3844 29.3410i 1.59137 1.15620i
\(645\) −0.343762 −0.0135356
\(646\) 12.4932 0.491540
\(647\) −29.7713 + 21.6301i −1.17043 + 0.850368i −0.991060 0.133413i \(-0.957406\pi\)
−0.179371 + 0.983782i \(0.557406\pi\)
\(648\) 0.246887 0.759840i 0.00969863 0.0298493i
\(649\) 5.69162 + 17.5170i 0.223416 + 0.687602i
\(650\) −9.93516 −0.389689
\(651\) 20.5077 53.9054i 0.803758 2.11272i
\(652\) −34.6050 −1.35524
\(653\) −3.21550 9.89628i −0.125832 0.387271i 0.868220 0.496180i \(-0.165264\pi\)
−0.994052 + 0.108909i \(0.965264\pi\)
\(654\) −26.7809 + 82.4230i −1.04721 + 3.22300i
\(655\) 0.0607197 0.0441154i 0.00237251 0.00172373i
\(656\) −39.7802 −1.55316
\(657\) 10.1626 0.396480
\(658\) −40.5453 + 29.4579i −1.58062 + 1.14839i
\(659\) −39.9002 28.9892i −1.55429 1.12926i −0.940503 0.339785i \(-0.889646\pi\)
−0.613786 0.789472i \(-0.710354\pi\)
\(660\) −0.408013 0.296439i −0.0158819 0.0115389i
\(661\) −13.3013 40.9373i −0.517362 1.59228i −0.778943 0.627095i \(-0.784244\pi\)
0.261581 0.965181i \(-0.415756\pi\)
\(662\) −8.02759 + 5.83239i −0.312001 + 0.226682i
\(663\) 1.42919 + 4.39861i 0.0555053 + 0.170828i
\(664\) −0.470466 + 1.44794i −0.0182576 + 0.0561912i
\(665\) 0.329624 + 0.239486i 0.0127823 + 0.00928685i
\(666\) 0.442223 1.36102i 0.0171358 0.0527386i
\(667\) 9.63180 29.6436i 0.372945 1.14781i
\(668\) −20.5908 14.9601i −0.796681 0.578823i
\(669\) 7.01544 21.5913i 0.271233 0.834768i
\(670\) 0.207742 + 0.639363i 0.00802576 + 0.0247008i
\(671\) −15.4092 + 11.1954i −0.594864 + 0.432194i
\(672\) 25.4301 + 78.2658i 0.980987 + 3.01917i
\(673\) 18.9525 + 13.7698i 0.730564 + 0.530786i 0.889742 0.456464i \(-0.150884\pi\)
−0.159178 + 0.987250i \(0.550884\pi\)
\(674\) −28.8664 20.9727i −1.11189 0.807838i
\(675\) −3.13288 + 2.27617i −0.120585 + 0.0876099i
\(676\) 1.94962 0.0749854
\(677\) −4.67064 −0.179507 −0.0897537 0.995964i \(-0.528608\pi\)
−0.0897537 + 0.995964i \(0.528608\pi\)
\(678\) −48.8747 + 35.5095i −1.87702 + 1.36374i
\(679\) −5.96272 + 18.3514i −0.228828 + 0.704261i
\(680\) 0.00164866 + 0.00507407i 6.32234e−5 + 0.000194582i
\(681\) 34.6331 1.32715
\(682\) 10.3065 + 38.0093i 0.394655 + 1.45545i
\(683\) 32.8045 1.25523 0.627615 0.778524i \(-0.284031\pi\)
0.627615 + 0.778524i \(0.284031\pi\)
\(684\) −6.80456 20.9423i −0.260179 0.800748i
\(685\) 0.0763781 0.235068i 0.00291826 0.00898147i
\(686\) −19.9549 + 14.4981i −0.761881 + 0.553539i
\(687\) −58.4439 −2.22977
\(688\) −19.3832 −0.738976
\(689\) −5.13579 + 3.73137i −0.195658 + 0.142154i
\(690\) −0.725481 0.527093i −0.0276186 0.0200661i
\(691\) −17.8975 13.0033i −0.680854 0.494670i 0.192787 0.981241i \(-0.438248\pi\)
−0.873641 + 0.486571i \(0.838248\pi\)
\(692\) 5.65508 + 17.4045i 0.214974 + 0.661622i
\(693\) 39.2879 28.5443i 1.49242 1.08431i
\(694\) −6.49762 19.9976i −0.246646 0.759100i
\(695\) 0.174456 0.536921i 0.00661750 0.0203666i
\(696\) 1.02144 + 0.742119i 0.0387175 + 0.0281299i
\(697\) −5.52336 + 16.9992i −0.209212 + 0.643889i
\(698\) −2.21851 + 6.82788i −0.0839720 + 0.258439i
\(699\) 2.69340 + 1.95687i 0.101874 + 0.0740157i
\(700\) −12.4215 + 38.2294i −0.469488 + 1.44493i
\(701\) 6.26720 + 19.2885i 0.236709 + 0.728515i 0.996890 + 0.0788039i \(0.0251101\pi\)
−0.760181 + 0.649711i \(0.774890\pi\)
\(702\) 1.24544 0.904869i 0.0470063 0.0341521i
\(703\) −0.229611 0.706670i −0.00865994 0.0266526i
\(704\) −21.8601 15.8823i −0.823884 0.598587i
\(705\) 0.359540 + 0.261221i 0.0135411 + 0.00983817i
\(706\) −53.6675 + 38.9918i −2.01980 + 1.46747i
\(707\) 4.30982 0.162087
\(708\) 25.3411 0.952378
\(709\) 27.0643 19.6633i 1.01642 0.738472i 0.0508736 0.998705i \(-0.483799\pi\)
0.965546 + 0.260233i \(0.0837995\pi\)
\(710\) 0.114647 0.352847i 0.00430262 0.0132421i
\(711\) −9.43620 29.0416i −0.353885 1.08915i
\(712\) −1.34746 −0.0504980
\(713\) 9.04598 + 33.3608i 0.338775 + 1.24937i
\(714\) 37.9080 1.41867
\(715\) −0.0318265 0.0979519i −0.00119024 0.00366319i
\(716\) 8.41697 25.9048i 0.314557 0.968107i
\(717\) 61.3716 44.5891i 2.29197 1.66521i
\(718\) −15.8973 −0.593281
\(719\) 19.1027 0.712412 0.356206 0.934408i \(-0.384070\pi\)
0.356206 + 0.934408i \(0.384070\pi\)
\(720\) 0.317425 0.230623i 0.0118297 0.00859481i
\(721\) −37.4154 27.1839i −1.39342 1.01238i
\(722\) 11.8101 + 8.58053i 0.439526 + 0.319334i
\(723\) −0.705747 2.17207i −0.0262470 0.0807800i
\(724\) 6.35650 4.61826i 0.236237 0.171636i
\(725\) 7.75609 + 23.8708i 0.288054 + 0.886539i
\(726\) −2.57138 + 7.91390i −0.0954330 + 0.293713i
\(727\) 13.9204 + 10.1137i 0.516277 + 0.375097i 0.815200 0.579180i \(-0.196627\pi\)
−0.298922 + 0.954277i \(0.596627\pi\)
\(728\) −0.127602 + 0.392719i −0.00472925 + 0.0145551i
\(729\) −9.96169 + 30.6589i −0.368951 + 1.13552i
\(730\) −0.142919 0.103836i −0.00528965 0.00384316i
\(731\) −2.69129 + 8.28294i −0.0995410 + 0.306356i
\(732\) 8.09797 + 24.9230i 0.299310 + 0.921180i
\(733\) 37.7291 27.4118i 1.39355 1.01248i 0.398090 0.917347i \(-0.369673\pi\)
0.995465 0.0951300i \(-0.0303267\pi\)
\(734\) −13.2044 40.6389i −0.487383 1.50001i
\(735\) 0.588561 + 0.427615i 0.0217094 + 0.0157728i
\(736\) −39.9008 28.9896i −1.47076 1.06857i
\(737\) 33.6581 24.4541i 1.23981 0.900777i
\(738\) 63.8218 2.34931
\(739\) 45.0983 1.65897 0.829483 0.558531i \(-0.188635\pi\)
0.829483 + 0.558531i \(0.188635\pi\)
\(740\) −0.00993434 + 0.00721772i −0.000365193 + 0.000265329i
\(741\) 2.64966 8.15482i 0.0973377 0.299575i
\(742\) 16.0788 + 49.4854i 0.590271 + 1.81667i
\(743\) −39.8725 −1.46278 −0.731389 0.681960i \(-0.761128\pi\)
−0.731389 + 0.681960i \(0.761128\pi\)
\(744\) −1.39844 0.0690973i −0.0512692 0.00253323i
\(745\) 0.649085 0.0237806
\(746\) −2.91407 8.96859i −0.106692 0.328363i
\(747\) 15.5459 47.8454i 0.568795 1.75057i
\(748\) −10.3370 + 7.51027i −0.377958 + 0.274603i
\(749\) 2.49739 0.0912527
\(750\) 1.44434 0.0527399
\(751\) 20.9780 15.2414i 0.765497 0.556166i −0.135095 0.990833i \(-0.543134\pi\)
0.900591 + 0.434667i \(0.143134\pi\)
\(752\) 20.2728 + 14.7291i 0.739274 + 0.537114i
\(753\) 26.7463 + 19.4323i 0.974689 + 0.708153i
\(754\) −3.08335 9.48958i −0.112289 0.345590i
\(755\) 0.560713 0.407382i 0.0204064 0.0148261i
\(756\) −1.92471 5.92365i −0.0700010 0.215441i
\(757\) 1.30170 4.00622i 0.0473111 0.145609i −0.924610 0.380915i \(-0.875609\pi\)
0.971921 + 0.235306i \(0.0756092\pi\)
\(758\) −3.39945 2.46984i −0.123473 0.0897087i
\(759\) −17.1491 + 52.7796i −0.622474 + 1.91578i
\(760\) 0.00305655 0.00940708i 0.000110873 0.000341231i
\(761\) 27.5839 + 20.0409i 0.999916 + 0.726481i 0.962070 0.272802i \(-0.0879505\pi\)
0.0378457 + 0.999284i \(0.487950\pi\)
\(762\) 3.25889 10.0298i 0.118057 0.363342i
\(763\) 22.1274 + 68.1012i 0.801066 + 2.46543i