Properties

Label 91.2.bb.a.31.4
Level $91$
Weight $2$
Character 91.31
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 31.4
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.746505 - 0.200025i) q^{2} +(-0.421869 - 0.243566i) q^{3} +(-1.21479 - 0.701360i) q^{4} +(0.472319 - 1.76272i) q^{5} +(0.266208 + 0.266208i) q^{6} +(-0.210751 - 2.63734i) q^{7} +(1.85952 + 1.85952i) q^{8} +(-1.38135 - 2.39257i) q^{9} +O(q^{10})\) \(q+(-0.746505 - 0.200025i) q^{2} +(-0.421869 - 0.243566i) q^{3} +(-1.21479 - 0.701360i) q^{4} +(0.472319 - 1.76272i) q^{5} +(0.266208 + 0.266208i) q^{6} +(-0.210751 - 2.63734i) q^{7} +(1.85952 + 1.85952i) q^{8} +(-1.38135 - 2.39257i) q^{9} +(-0.705177 + 1.22140i) q^{10} +(0.990745 - 0.265469i) q^{11} +(0.341655 + 0.591765i) q^{12} +(-0.266208 + 3.59571i) q^{13} +(-0.370209 + 2.01095i) q^{14} +(-0.628596 + 0.628596i) q^{15} +(0.386531 + 0.669491i) q^{16} +(2.60029 - 4.50383i) q^{17} +(0.552611 + 2.06237i) q^{18} +(-1.36051 + 5.07751i) q^{19} +(-1.81007 + 1.81007i) q^{20} +(-0.553459 + 1.16395i) q^{21} -0.792697 q^{22} +(0.730699 - 0.421869i) q^{23} +(-0.331558 - 1.23739i) q^{24} +(1.44604 + 0.834871i) q^{25} +(0.917960 - 2.63097i) q^{26} +2.80720i q^{27} +(-1.59371 + 3.35163i) q^{28} +10.3454 q^{29} +(0.594985 - 0.343515i) q^{30} +(-5.69625 + 1.52630i) q^{31} +(-1.51589 - 5.65739i) q^{32} +(-0.482625 - 0.129319i) q^{33} +(-2.84201 + 2.84201i) q^{34} +(-4.74843 - 0.874173i) q^{35} +3.87530i q^{36} +(1.61677 - 6.03388i) q^{37} +(2.03126 - 3.51825i) q^{38} +(0.988100 - 1.45208i) q^{39} +(4.15609 - 2.39952i) q^{40} +(-0.0927742 - 0.0927742i) q^{41} +(0.645979 - 0.758186i) q^{42} -7.36681i q^{43} +(-1.38974 - 0.372379i) q^{44} +(-4.86986 + 1.30488i) q^{45} +(-0.629856 + 0.168769i) q^{46} +(2.17913 + 0.583897i) q^{47} -0.376584i q^{48} +(-6.91117 + 1.11164i) q^{49} +(-0.912480 - 0.912480i) q^{50} +(-2.19397 + 1.26669i) q^{51} +(2.84527 - 4.18133i) q^{52} +(3.38590 - 5.86455i) q^{53} +(0.561512 - 2.09559i) q^{54} -1.87179i q^{55} +(4.51229 - 5.29608i) q^{56} +(1.81067 - 1.81067i) q^{57} +(-7.72287 - 2.06934i) q^{58} +(2.60938 + 9.73833i) q^{59} +(1.20448 - 0.322741i) q^{60} +(1.13174 - 0.653409i) q^{61} +4.55758 q^{62} +(-6.01891 + 4.14733i) q^{63} +2.98037i q^{64} +(6.21249 + 2.16757i) q^{65} +(0.334415 + 0.193074i) q^{66} +(1.11471 + 4.16014i) q^{67} +(-6.31762 + 3.64748i) q^{68} -0.411013 q^{69} +(3.36987 + 1.60238i) q^{70} +(-6.02388 + 6.02388i) q^{71} +(1.88038 - 7.01767i) q^{72} +(2.93641 + 10.9588i) q^{73} +(-2.41386 + 4.18093i) q^{74} +(-0.406693 - 0.704413i) q^{75} +(5.21390 - 5.21390i) q^{76} +(-0.908934 - 2.55699i) q^{77} +(-1.02807 + 0.886341i) q^{78} +(5.16240 + 8.94154i) q^{79} +(1.36269 - 0.365132i) q^{80} +(-3.46031 + 5.99344i) q^{81} +(0.0506992 + 0.0878136i) q^{82} +(-4.16974 - 4.16974i) q^{83} +(1.48868 - 1.02578i) q^{84} +(-6.71082 - 6.71082i) q^{85} +(-1.47355 + 5.49936i) q^{86} +(-4.36440 - 2.51978i) q^{87} +(2.33595 + 1.34866i) q^{88} +(-7.49857 - 2.00924i) q^{89} +3.89639 q^{90} +(9.53923 - 0.0557161i) q^{91} -1.18353 q^{92} +(2.77483 + 0.743513i) q^{93} +(-1.50994 - 0.871764i) q^{94} +(8.30761 + 4.79640i) q^{95} +(-0.738442 + 2.75590i) q^{96} +(2.49152 + 2.49152i) q^{97} +(5.38158 + 0.552561i) q^{98} +(-2.00372 - 2.00372i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.746505 0.200025i −0.527859 0.141439i −0.0149595 0.999888i \(-0.504762\pi\)
−0.512899 + 0.858449i \(0.671429\pi\)
\(3\) −0.421869 0.243566i −0.243566 0.140623i 0.373248 0.927731i \(-0.378244\pi\)
−0.616815 + 0.787108i \(0.711577\pi\)
\(4\) −1.21479 0.701360i −0.607395 0.350680i
\(5\) 0.472319 1.76272i 0.211227 0.788311i −0.776233 0.630446i \(-0.782872\pi\)
0.987461 0.157865i \(-0.0504612\pi\)
\(6\) 0.266208 + 0.266208i 0.108679 + 0.108679i
\(7\) −0.210751 2.63734i −0.0796563 0.996822i
\(8\) 1.85952 + 1.85952i 0.657439 + 0.657439i
\(9\) −1.38135 2.39257i −0.460450 0.797523i
\(10\) −0.705177 + 1.22140i −0.222996 + 0.386241i
\(11\) 0.990745 0.265469i 0.298721 0.0800420i −0.106346 0.994329i \(-0.533915\pi\)
0.405067 + 0.914287i \(0.367248\pi\)
\(12\) 0.341655 + 0.591765i 0.0986274 + 0.170828i
\(13\) −0.266208 + 3.59571i −0.0738329 + 0.997271i
\(14\) −0.370209 + 2.01095i −0.0989426 + 0.537448i
\(15\) −0.628596 + 0.628596i −0.162303 + 0.162303i
\(16\) 0.386531 + 0.669491i 0.0966328 + 0.167373i
\(17\) 2.60029 4.50383i 0.630663 1.09234i −0.356753 0.934199i \(-0.616116\pi\)
0.987416 0.158142i \(-0.0505503\pi\)
\(18\) 0.552611 + 2.06237i 0.130252 + 0.486106i
\(19\) −1.36051 + 5.07751i −0.312123 + 1.16486i 0.614515 + 0.788905i \(0.289352\pi\)
−0.926638 + 0.375954i \(0.877315\pi\)
\(20\) −1.81007 + 1.81007i −0.404743 + 0.404743i
\(21\) −0.553459 + 1.16395i −0.120775 + 0.253994i
\(22\) −0.792697 −0.169004
\(23\) 0.730699 0.421869i 0.152361 0.0879659i −0.421881 0.906651i \(-0.638630\pi\)
0.574242 + 0.818685i \(0.305297\pi\)
\(24\) −0.331558 1.23739i −0.0676789 0.252581i
\(25\) 1.44604 + 0.834871i 0.289208 + 0.166974i
\(26\) 0.917960 2.63097i 0.180027 0.515975i
\(27\) 2.80720i 0.540246i
\(28\) −1.59371 + 3.35163i −0.301183 + 0.633399i
\(29\) 10.3454 1.92109 0.960543 0.278130i \(-0.0897147\pi\)
0.960543 + 0.278130i \(0.0897147\pi\)
\(30\) 0.594985 0.343515i 0.108629 0.0627169i
\(31\) −5.69625 + 1.52630i −1.02308 + 0.274132i −0.731083 0.682288i \(-0.760985\pi\)
−0.291993 + 0.956421i \(0.594318\pi\)
\(32\) −1.51589 5.65739i −0.267975 1.00009i
\(33\) −0.482625 0.129319i −0.0840142 0.0225115i
\(34\) −2.84201 + 2.84201i −0.487401 + 0.487401i
\(35\) −4.74843 0.874173i −0.802632 0.147762i
\(36\) 3.87530i 0.645883i
\(37\) 1.61677 6.03388i 0.265796 0.991964i −0.695965 0.718075i \(-0.745023\pi\)
0.961761 0.273889i \(-0.0883101\pi\)
\(38\) 2.03126 3.51825i 0.329514 0.570735i
\(39\) 0.988100 1.45208i 0.158223 0.232519i
\(40\) 4.15609 2.39952i 0.657135 0.379397i
\(41\) −0.0927742 0.0927742i −0.0144889 0.0144889i 0.699825 0.714314i \(-0.253261\pi\)
−0.714314 + 0.699825i \(0.753261\pi\)
\(42\) 0.645979 0.758186i 0.0996768 0.116991i
\(43\) 7.36681i 1.12343i −0.827331 0.561714i \(-0.810142\pi\)
0.827331 0.561714i \(-0.189858\pi\)
\(44\) −1.38974 0.372379i −0.209511 0.0561383i
\(45\) −4.86986 + 1.30488i −0.725956 + 0.194519i
\(46\) −0.629856 + 0.168769i −0.0928671 + 0.0248837i
\(47\) 2.17913 + 0.583897i 0.317859 + 0.0851701i 0.414221 0.910176i \(-0.364054\pi\)
−0.0963621 + 0.995346i \(0.530721\pi\)
\(48\) 0.376584i 0.0543552i
\(49\) −6.91117 + 1.11164i −0.987310 + 0.158806i
\(50\) −0.912480 0.912480i −0.129044 0.129044i
\(51\) −2.19397 + 1.26669i −0.307217 + 0.177372i
\(52\) 2.84527 4.18133i 0.394569 0.579846i
\(53\) 3.38590 5.86455i 0.465089 0.805558i −0.534117 0.845411i \(-0.679356\pi\)
0.999206 + 0.0398532i \(0.0126890\pi\)
\(54\) 0.561512 2.09559i 0.0764121 0.285174i
\(55\) 1.87179i 0.252392i
\(56\) 4.51229 5.29608i 0.602980 0.707719i
\(57\) 1.81067 1.81067i 0.239829 0.239829i
\(58\) −7.72287 2.06934i −1.01406 0.271717i
\(59\) 2.60938 + 9.73833i 0.339712 + 1.26782i 0.898670 + 0.438626i \(0.144535\pi\)
−0.558958 + 0.829196i \(0.688799\pi\)
\(60\) 1.20448 0.322741i 0.155498 0.0416656i
\(61\) 1.13174 0.653409i 0.144904 0.0836604i −0.425795 0.904820i \(-0.640006\pi\)
0.570699 + 0.821159i \(0.306672\pi\)
\(62\) 4.55758 0.578813
\(63\) −6.01891 + 4.14733i −0.758311 + 0.522515i
\(64\) 2.98037i 0.372546i
\(65\) 6.21249 + 2.16757i 0.770564 + 0.268854i
\(66\) 0.334415 + 0.193074i 0.0411636 + 0.0237658i
\(67\) 1.11471 + 4.16014i 0.136183 + 0.508242i 0.999990 + 0.00441973i \(0.00140685\pi\)
−0.863807 + 0.503823i \(0.831926\pi\)
\(68\) −6.31762 + 3.64748i −0.766124 + 0.442322i
\(69\) −0.411013 −0.0494802
\(70\) 3.36987 + 1.60238i 0.402777 + 0.191521i
\(71\) −6.02388 + 6.02388i −0.714903 + 0.714903i −0.967557 0.252654i \(-0.918697\pi\)
0.252654 + 0.967557i \(0.418697\pi\)
\(72\) 1.88038 7.01767i 0.221605 0.827040i
\(73\) 2.93641 + 10.9588i 0.343681 + 1.28264i 0.894146 + 0.447776i \(0.147784\pi\)
−0.550464 + 0.834859i \(0.685549\pi\)
\(74\) −2.41386 + 4.18093i −0.280606 + 0.486023i
\(75\) −0.406693 0.704413i −0.0469609 0.0813386i
\(76\) 5.21390 5.21390i 0.598075 0.598075i
\(77\) −0.908934 2.55699i −0.103583 0.291396i
\(78\) −1.02807 + 0.886341i −0.116407 + 0.100358i
\(79\) 5.16240 + 8.94154i 0.580816 + 1.00600i 0.995383 + 0.0959836i \(0.0305996\pi\)
−0.414567 + 0.910019i \(0.636067\pi\)
\(80\) 1.36269 0.365132i 0.152353 0.0408230i
\(81\) −3.46031 + 5.99344i −0.384479 + 0.665937i
\(82\) 0.0506992 + 0.0878136i 0.00559879 + 0.00969739i
\(83\) −4.16974 4.16974i −0.457689 0.457689i 0.440207 0.897896i \(-0.354905\pi\)
−0.897896 + 0.440207i \(0.854905\pi\)
\(84\) 1.48868 1.02578i 0.162429 0.111922i
\(85\) −6.71082 6.71082i −0.727891 0.727891i
\(86\) −1.47355 + 5.49936i −0.158897 + 0.593011i
\(87\) −4.36440 2.51978i −0.467912 0.270149i
\(88\) 2.33595 + 1.34866i 0.249013 + 0.143768i
\(89\) −7.49857 2.00924i −0.794847 0.212979i −0.161526 0.986868i \(-0.551642\pi\)
−0.633320 + 0.773890i \(0.718308\pi\)
\(90\) 3.89639 0.410715
\(91\) 9.53923 0.0557161i 0.999983 0.00584064i
\(92\) −1.18353 −0.123391
\(93\) 2.77483 + 0.743513i 0.287736 + 0.0770987i
\(94\) −1.50994 0.871764i −0.155738 0.0899156i
\(95\) 8.30761 + 4.79640i 0.852343 + 0.492100i
\(96\) −0.738442 + 2.75590i −0.0753669 + 0.281273i
\(97\) 2.49152 + 2.49152i 0.252976 + 0.252976i 0.822189 0.569214i \(-0.192752\pi\)
−0.569214 + 0.822189i \(0.692752\pi\)
\(98\) 5.38158 + 0.552561i 0.543622 + 0.0558171i
\(99\) −2.00372 2.00372i −0.201381 0.201381i
\(100\) −1.17109 2.02839i −0.117109 0.202839i
\(101\) 1.21686 2.10766i 0.121082 0.209720i −0.799113 0.601181i \(-0.794697\pi\)
0.920195 + 0.391461i \(0.128030\pi\)
\(102\) 1.89118 0.506739i 0.187254 0.0501747i
\(103\) −1.36817 2.36974i −0.134810 0.233498i 0.790715 0.612185i \(-0.209709\pi\)
−0.925525 + 0.378687i \(0.876376\pi\)
\(104\) −7.18131 + 6.19127i −0.704185 + 0.607104i
\(105\) 1.79030 + 1.52535i 0.174715 + 0.148859i
\(106\) −3.70065 + 3.70065i −0.359439 + 0.359439i
\(107\) −1.12814 1.95399i −0.109061 0.188899i 0.806329 0.591467i \(-0.201451\pi\)
−0.915390 + 0.402568i \(0.868118\pi\)
\(108\) 1.96886 3.41016i 0.189454 0.328143i
\(109\) 0.421507 + 1.57309i 0.0403730 + 0.150674i 0.983170 0.182693i \(-0.0584816\pi\)
−0.942797 + 0.333368i \(0.891815\pi\)
\(110\) −0.374406 + 1.39730i −0.0356982 + 0.133227i
\(111\) −2.15172 + 2.15172i −0.204232 + 0.204232i
\(112\) 1.68422 1.16051i 0.159144 0.109658i
\(113\) 2.63227 0.247623 0.123812 0.992306i \(-0.460488\pi\)
0.123812 + 0.992306i \(0.460488\pi\)
\(114\) −1.71385 + 0.989494i −0.160517 + 0.0926746i
\(115\) −0.398514 1.48727i −0.0371616 0.138689i
\(116\) −12.5675 7.25583i −1.16686 0.673687i
\(117\) 8.97071 4.33002i 0.829343 0.400310i
\(118\) 7.79165i 0.717280i
\(119\) −12.4262 5.90867i −1.13911 0.541647i
\(120\) −2.33777 −0.213408
\(121\) −8.61518 + 4.97398i −0.783198 + 0.452180i
\(122\) −0.975546 + 0.261397i −0.0883218 + 0.0236658i
\(123\) 0.0165419 + 0.0617353i 0.00149153 + 0.00556648i
\(124\) 7.99024 + 2.14098i 0.717544 + 0.192265i
\(125\) 8.60663 8.60663i 0.769800 0.769800i
\(126\) 5.32272 1.89207i 0.474186 0.168559i
\(127\) 11.8104i 1.04801i −0.851716 0.524004i \(-0.824438\pi\)
0.851716 0.524004i \(-0.175562\pi\)
\(128\) −2.43564 + 9.08992i −0.215282 + 0.803443i
\(129\) −1.79431 + 3.10783i −0.157980 + 0.273629i
\(130\) −4.20408 2.86076i −0.368723 0.250905i
\(131\) −13.3773 + 7.72337i −1.16878 + 0.674794i −0.953392 0.301735i \(-0.902434\pi\)
−0.215386 + 0.976529i \(0.569101\pi\)
\(132\) 0.495589 + 0.495589i 0.0431355 + 0.0431355i
\(133\) 13.6779 + 2.51805i 1.18602 + 0.218343i
\(134\) 3.32854i 0.287542i
\(135\) 4.94830 + 1.32589i 0.425882 + 0.114115i
\(136\) 13.2102 3.53967i 1.13277 0.303525i
\(137\) 0.990138 0.265307i 0.0845932 0.0226667i −0.216274 0.976333i \(-0.569391\pi\)
0.300867 + 0.953666i \(0.402724\pi\)
\(138\) 0.306823 + 0.0822131i 0.0261185 + 0.00699844i
\(139\) 11.4028i 0.967171i −0.875297 0.483585i \(-0.839334\pi\)
0.875297 0.483585i \(-0.160666\pi\)
\(140\) 5.15525 + 4.39230i 0.435698 + 0.371217i
\(141\) −0.777092 0.777092i −0.0654429 0.0654429i
\(142\) 5.70178 3.29193i 0.478483 0.276252i
\(143\) 0.690806 + 3.63310i 0.0577681 + 0.303815i
\(144\) 1.06787 1.84961i 0.0889892 0.154134i
\(145\) 4.88631 18.2360i 0.405786 1.51441i
\(146\) 8.76819i 0.725660i
\(147\) 3.18637 + 1.21436i 0.262807 + 0.100159i
\(148\) −6.19597 + 6.19597i −0.509305 + 0.509305i
\(149\) 7.37799 + 1.97693i 0.604428 + 0.161956i 0.548039 0.836453i \(-0.315375\pi\)
0.0563893 + 0.998409i \(0.482041\pi\)
\(150\) 0.162698 + 0.607197i 0.0132842 + 0.0495774i
\(151\) −6.61717 + 1.77307i −0.538498 + 0.144290i −0.517810 0.855496i \(-0.673252\pi\)
−0.0206882 + 0.999786i \(0.506586\pi\)
\(152\) −11.9716 + 6.91181i −0.971026 + 0.560622i
\(153\) −14.3677 −1.16156
\(154\) 0.167062 + 2.09062i 0.0134622 + 0.168467i
\(155\) 10.7618i 0.864406i
\(156\) −2.21877 + 1.07096i −0.177643 + 0.0857455i
\(157\) −11.1262 6.42373i −0.887970 0.512670i −0.0146919 0.999892i \(-0.504677\pi\)
−0.873278 + 0.487222i \(0.838010\pi\)
\(158\) −2.06522 7.70752i −0.164300 0.613177i
\(159\) −2.85681 + 1.64938i −0.226560 + 0.130805i
\(160\) −10.6884 −0.844990
\(161\) −1.26661 1.83820i −0.0998229 0.144870i
\(162\) 3.78198 3.78198i 0.297140 0.297140i
\(163\) −0.254057 + 0.948153i −0.0198993 + 0.0742651i −0.975161 0.221495i \(-0.928906\pi\)
0.955262 + 0.295760i \(0.0955730\pi\)
\(164\) 0.0476332 + 0.177769i 0.00371952 + 0.0138815i
\(165\) −0.455905 + 0.789651i −0.0354922 + 0.0614743i
\(166\) 2.27868 + 3.94679i 0.176860 + 0.306330i
\(167\) 9.25126 9.25126i 0.715884 0.715884i −0.251876 0.967760i \(-0.581047\pi\)
0.967760 + 0.251876i \(0.0810474\pi\)
\(168\) −3.19355 + 1.13521i −0.246387 + 0.0875835i
\(169\) −12.8583 1.91442i −0.989097 0.147263i
\(170\) 3.66733 + 6.35200i 0.281271 + 0.487176i
\(171\) 14.0276 3.75869i 1.07272 0.287434i
\(172\) −5.16678 + 8.94913i −0.393964 + 0.682365i
\(173\) 11.0561 + 19.1496i 0.840576 + 1.45592i 0.889408 + 0.457114i \(0.151117\pi\)
−0.0488321 + 0.998807i \(0.515550\pi\)
\(174\) 2.75402 + 2.75402i 0.208782 + 0.208782i
\(175\) 1.89709 3.98965i 0.143406 0.301589i
\(176\) 0.560683 + 0.560683i 0.0422631 + 0.0422631i
\(177\) 1.27111 4.74386i 0.0955427 0.356570i
\(178\) 5.19582 + 2.99981i 0.389443 + 0.224845i
\(179\) 6.98924 + 4.03524i 0.522400 + 0.301608i 0.737916 0.674893i \(-0.235810\pi\)
−0.215516 + 0.976500i \(0.569143\pi\)
\(180\) 6.83105 + 1.83037i 0.509157 + 0.136428i
\(181\) 20.5622 1.52838 0.764189 0.644993i \(-0.223140\pi\)
0.764189 + 0.644993i \(0.223140\pi\)
\(182\) −7.13223 1.86650i −0.528676 0.138354i
\(183\) −0.636594 −0.0470584
\(184\) 2.14322 + 0.574275i 0.158000 + 0.0423361i
\(185\) −9.87240 5.69983i −0.725833 0.419060i
\(186\) −1.92270 1.11007i −0.140979 0.0813945i
\(187\) 1.38059 5.15245i 0.100959 0.376784i
\(188\) −2.23767 2.23767i −0.163199 0.163199i
\(189\) 7.40356 0.591620i 0.538530 0.0430340i
\(190\) −5.24227 5.24227i −0.380314 0.380314i
\(191\) 6.91909 + 11.9842i 0.500647 + 0.867147i 1.00000 0.000747762i \(0.000238020\pi\)
−0.499352 + 0.866399i \(0.666429\pi\)
\(192\) 0.725917 1.25733i 0.0523885 0.0907396i
\(193\) −23.5751 + 6.31692i −1.69697 + 0.454702i −0.972174 0.234260i \(-0.924733\pi\)
−0.724797 + 0.688962i \(0.758067\pi\)
\(194\) −1.36157 2.35830i −0.0977547 0.169316i
\(195\) −2.09291 2.42759i −0.149876 0.173843i
\(196\) 9.17529 + 3.49680i 0.655378 + 0.249771i
\(197\) −14.3424 + 14.3424i −1.02185 + 1.02185i −0.0220979 + 0.999756i \(0.507035\pi\)
−0.999756 + 0.0220979i \(0.992965\pi\)
\(198\) 1.09499 + 1.89658i 0.0778177 + 0.134784i
\(199\) −7.40801 + 12.8310i −0.525140 + 0.909569i 0.474431 + 0.880292i \(0.342654\pi\)
−0.999571 + 0.0292766i \(0.990680\pi\)
\(200\) 1.13648 + 4.24139i 0.0803611 + 0.299912i
\(201\) 0.543011 2.02654i 0.0383010 0.142941i
\(202\) −1.32998 + 1.32998i −0.0935770 + 0.0935770i
\(203\) −2.18030 27.2843i −0.153027 1.91498i
\(204\) 3.55361 0.248803
\(205\) −0.207354 + 0.119716i −0.0144822 + 0.00836131i
\(206\) 0.547339 + 2.04270i 0.0381349 + 0.142321i
\(207\) −2.01870 1.16550i −0.140310 0.0810078i
\(208\) −2.51020 + 1.21163i −0.174051 + 0.0840114i
\(209\) 5.39169i 0.372951i
\(210\) −1.03136 1.49678i −0.0711706 0.103288i
\(211\) 6.98585 0.480925 0.240463 0.970658i \(-0.422701\pi\)
0.240463 + 0.970658i \(0.422701\pi\)
\(212\) −8.22632 + 4.74947i −0.564986 + 0.326195i
\(213\) 4.00850 1.07408i 0.274658 0.0735944i
\(214\) 0.451312 + 1.68432i 0.0308510 + 0.115138i
\(215\) −12.9856 3.47948i −0.885611 0.237299i
\(216\) −5.22004 + 5.22004i −0.355179 + 0.355179i
\(217\) 5.22588 + 14.7013i 0.354756 + 0.997988i
\(218\) 1.25863i 0.0852451i
\(219\) 1.43042 5.33841i 0.0966590 0.360736i
\(220\) −1.31280 + 2.27383i −0.0885088 + 0.153302i
\(221\) 15.5023 + 10.5488i 1.04280 + 0.709592i
\(222\) 2.03667 1.17587i 0.136692 0.0789193i
\(223\) 19.4291 + 19.4291i 1.30107 + 1.30107i 0.927669 + 0.373403i \(0.121809\pi\)
0.373403 + 0.927669i \(0.378191\pi\)
\(224\) −14.6010 + 5.19023i −0.975571 + 0.346787i
\(225\) 4.61300i 0.307533i
\(226\) −1.96500 0.526521i −0.130710 0.0350237i
\(227\) −0.0680123 + 0.0182238i −0.00451413 + 0.00120956i −0.261075 0.965318i \(-0.584077\pi\)
0.256561 + 0.966528i \(0.417410\pi\)
\(228\) −3.46952 + 0.929654i −0.229774 + 0.0615678i
\(229\) 5.28034 + 1.41486i 0.348935 + 0.0934968i 0.429030 0.903290i \(-0.358856\pi\)
−0.0800948 + 0.996787i \(0.525522\pi\)
\(230\) 1.18997i 0.0784643i
\(231\) −0.239345 + 1.30010i −0.0157477 + 0.0855404i
\(232\) 19.2374 + 19.2374i 1.26300 + 1.26300i
\(233\) 0.913139 0.527201i 0.0598217 0.0345381i −0.469791 0.882778i \(-0.655671\pi\)
0.529613 + 0.848240i \(0.322337\pi\)
\(234\) −7.56280 + 1.43801i −0.494396 + 0.0940055i
\(235\) 2.05849 3.56541i 0.134281 0.232582i
\(236\) 3.66022 13.6601i 0.238260 0.889200i
\(237\) 5.02955i 0.326705i
\(238\) 8.09432 + 6.89641i 0.524677 + 0.447028i
\(239\) 18.6963 18.6963i 1.20936 1.20936i 0.238127 0.971234i \(-0.423467\pi\)
0.971234 0.238127i \(-0.0765333\pi\)
\(240\) −0.663811 0.177868i −0.0428488 0.0114813i
\(241\) −2.53663 9.46683i −0.163399 0.609812i −0.998239 0.0593200i \(-0.981107\pi\)
0.834840 0.550492i \(-0.185560\pi\)
\(242\) 7.42620 1.98984i 0.477374 0.127912i
\(243\) 10.2129 5.89643i 0.655159 0.378256i
\(244\) −1.83310 −0.117352
\(245\) −1.30476 + 12.7075i −0.0833579 + 0.811852i
\(246\) 0.0493945i 0.00314928i
\(247\) −17.8951 6.24369i −1.13864 0.397276i
\(248\) −13.4305 7.75408i −0.852835 0.492384i
\(249\) 0.743478 + 2.77470i 0.0471160 + 0.175839i
\(250\) −8.14644 + 4.70335i −0.515226 + 0.297466i
\(251\) −24.9249 −1.57325 −0.786623 0.617434i \(-0.788172\pi\)
−0.786623 + 0.617434i \(0.788172\pi\)
\(252\) 10.2205 0.816722i 0.643830 0.0514486i
\(253\) 0.611943 0.611943i 0.0384726 0.0384726i
\(254\) −2.36239 + 8.81656i −0.148230 + 0.553200i
\(255\) 1.19656 + 4.46562i 0.0749315 + 0.279648i
\(256\) 6.61680 11.4606i 0.413550 0.716289i
\(257\) −1.98118 3.43150i −0.123583 0.214051i 0.797595 0.603193i \(-0.206105\pi\)
−0.921178 + 0.389142i \(0.872772\pi\)
\(258\) 1.96111 1.96111i 0.122093 0.122093i
\(259\) −16.2542 2.99234i −1.00998 0.185935i
\(260\) −6.02662 6.99033i −0.373755 0.433522i
\(261\) −14.2906 24.7520i −0.884565 1.53211i
\(262\) 11.5311 3.08974i 0.712392 0.190885i
\(263\) 15.4634 26.7834i 0.953516 1.65154i 0.215787 0.976440i \(-0.430768\pi\)
0.737729 0.675097i \(-0.235898\pi\)
\(264\) −0.656978 1.13792i −0.0404342 0.0700341i
\(265\) −8.73832 8.73832i −0.536791 0.536791i
\(266\) −9.70692 4.61566i −0.595169 0.283004i
\(267\) 2.67403 + 2.67403i 0.163648 + 0.163648i
\(268\) 1.56362 5.83552i 0.0955134 0.356461i
\(269\) 9.53617 + 5.50571i 0.581430 + 0.335689i 0.761702 0.647928i \(-0.224364\pi\)
−0.180271 + 0.983617i \(0.557698\pi\)
\(270\) −3.42872 1.97957i −0.208665 0.120473i
\(271\) −4.83826 1.29641i −0.293903 0.0787511i 0.108855 0.994058i \(-0.465282\pi\)
−0.402758 + 0.915307i \(0.631948\pi\)
\(272\) 4.02037 0.243771
\(273\) −4.03788 2.29993i −0.244384 0.139198i
\(274\) −0.792211 −0.0478592
\(275\) 1.65429 + 0.443265i 0.0997574 + 0.0267299i
\(276\) 0.499295 + 0.288268i 0.0300540 + 0.0173517i
\(277\) 10.5720 + 6.10374i 0.635209 + 0.366738i 0.782767 0.622315i \(-0.213808\pi\)
−0.147558 + 0.989053i \(0.547141\pi\)
\(278\) −2.28085 + 8.51223i −0.136796 + 0.510530i
\(279\) 11.5203 + 11.5203i 0.689702 + 0.689702i
\(280\) −7.20426 10.4553i −0.430537 0.624826i
\(281\) −12.8351 12.8351i −0.765677 0.765677i 0.211665 0.977342i \(-0.432111\pi\)
−0.977342 + 0.211665i \(0.932111\pi\)
\(282\) 0.424665 + 0.735541i 0.0252884 + 0.0438008i
\(283\) 8.44961 14.6351i 0.502277 0.869969i −0.497720 0.867338i \(-0.665829\pi\)
0.999997 0.00263116i \(-0.000837525\pi\)
\(284\) 11.5427 3.09285i 0.684931 0.183527i
\(285\) −2.33649 4.04691i −0.138401 0.239718i
\(286\) 0.211023 2.85031i 0.0124780 0.168542i
\(287\) −0.225125 + 0.264230i −0.0132887 + 0.0155970i
\(288\) −11.4417 + 11.4417i −0.674210 + 0.674210i
\(289\) −5.02302 8.70012i −0.295472 0.511772i
\(290\) −7.29531 + 12.6359i −0.428396 + 0.742003i
\(291\) −0.444246 1.65795i −0.0260421 0.0971906i
\(292\) 4.11896 15.3722i 0.241044 0.899589i
\(293\) −11.1183 + 11.1183i −0.649536 + 0.649536i −0.952881 0.303345i \(-0.901897\pi\)
0.303345 + 0.952881i \(0.401897\pi\)
\(294\) −2.13574 1.54388i −0.124559 0.0900410i
\(295\) 18.3984 1.07120
\(296\) 14.2265 8.21369i 0.826900 0.477411i
\(297\) 0.745226 + 2.78122i 0.0432424 + 0.161383i
\(298\) −5.11227 2.95157i −0.296146 0.170980i
\(299\) 1.32240 + 2.73969i 0.0764765 + 0.158440i
\(300\) 1.14095i 0.0658730i
\(301\) −19.4288 + 1.55256i −1.11986 + 0.0894882i
\(302\) 5.29441 0.304659
\(303\) −1.02671 + 0.592773i −0.0589831 + 0.0340539i
\(304\) −3.92523 + 1.05176i −0.225127 + 0.0603227i
\(305\) −0.617234 2.30355i −0.0353427 0.131901i
\(306\) 10.7255 + 2.87390i 0.613138 + 0.164290i
\(307\) −14.6604 + 14.6604i −0.836715 + 0.836715i −0.988425 0.151710i \(-0.951522\pi\)
0.151710 + 0.988425i \(0.451522\pi\)
\(308\) −0.689203 + 3.74370i −0.0392710 + 0.213317i
\(309\) 1.33296i 0.0758296i
\(310\) 2.15263 8.03372i 0.122261 0.456285i
\(311\) −5.35317 + 9.27196i −0.303550 + 0.525765i −0.976938 0.213525i \(-0.931505\pi\)
0.673387 + 0.739290i \(0.264839\pi\)
\(312\) 4.53756 0.862782i 0.256889 0.0488454i
\(313\) −9.30922 + 5.37468i −0.526188 + 0.303795i −0.739463 0.673197i \(-0.764920\pi\)
0.213275 + 0.976992i \(0.431587\pi\)
\(314\) 7.02088 + 7.02088i 0.396211 + 0.396211i
\(315\) 4.46773 + 12.5685i 0.251728 + 0.708155i
\(316\) 14.4828i 0.814722i
\(317\) −11.3244 3.03435i −0.636040 0.170426i −0.0736308 0.997286i \(-0.523459\pi\)
−0.562409 + 0.826859i \(0.690125\pi\)
\(318\) 2.46255 0.659837i 0.138093 0.0370018i
\(319\) 10.2496 2.74638i 0.573869 0.153768i
\(320\) 5.25354 + 1.40768i 0.293682 + 0.0786918i
\(321\) 1.09910i 0.0613460i
\(322\) 0.577845 + 1.62558i 0.0322021 + 0.0905899i
\(323\) 19.3305 + 19.3305i 1.07558 + 1.07558i
\(324\) 8.40711 4.85385i 0.467062 0.269658i
\(325\) −3.38690 + 4.97729i −0.187872 + 0.276090i
\(326\) 0.379310 0.656983i 0.0210080 0.0363869i
\(327\) 0.205330 0.766302i 0.0113548 0.0423766i
\(328\) 0.345031i 0.0190511i
\(329\) 1.08068 5.87018i 0.0595799 0.323633i
\(330\) 0.498286 0.498286i 0.0274297 0.0274297i
\(331\) 26.1893 + 7.01741i 1.43950 + 0.385712i 0.892357 0.451331i \(-0.149050\pi\)
0.547138 + 0.837042i \(0.315717\pi\)
\(332\) 2.14088 + 7.98986i 0.117496 + 0.438500i
\(333\) −16.6698 + 4.46667i −0.913501 + 0.244772i
\(334\) −8.75660 + 5.05563i −0.479140 + 0.276632i
\(335\) 7.85966 0.429419
\(336\) −0.993182 + 0.0793654i −0.0541825 + 0.00432974i
\(337\) 20.5911i 1.12167i 0.827927 + 0.560835i \(0.189520\pi\)
−0.827927 + 0.560835i \(0.810480\pi\)
\(338\) 9.21583 + 4.00110i 0.501275 + 0.217631i
\(339\) −1.11047 0.641133i −0.0603127 0.0348216i
\(340\) 3.44554 + 12.8589i 0.186861 + 0.697374i
\(341\) −5.23834 + 3.02436i −0.283672 + 0.163778i
\(342\) −11.2235 −0.606899
\(343\) 4.38832 + 17.9928i 0.236947 + 0.971523i
\(344\) 13.6987 13.6987i 0.738585 0.738585i
\(345\) −0.194129 + 0.724500i −0.0104516 + 0.0390058i
\(346\) −4.42298 16.5068i −0.237781 0.887411i
\(347\) −7.48956 + 12.9723i −0.402061 + 0.696390i −0.993974 0.109612i \(-0.965039\pi\)
0.591914 + 0.806001i \(0.298373\pi\)
\(348\) 3.53455 + 6.12202i 0.189472 + 0.328175i
\(349\) −3.25693 + 3.25693i −0.174340 + 0.174340i −0.788883 0.614543i \(-0.789340\pi\)
0.614543 + 0.788883i \(0.289340\pi\)
\(350\) −2.21422 + 2.59883i −0.118355 + 0.138913i
\(351\) −10.0939 0.747300i −0.538772 0.0398879i
\(352\) −3.00373 5.20261i −0.160099 0.277300i
\(353\) 5.38517 1.44295i 0.286624 0.0768006i −0.112643 0.993636i \(-0.535932\pi\)
0.399266 + 0.916835i \(0.369265\pi\)
\(354\) −1.89779 + 3.28706i −0.100866 + 0.174705i
\(355\) 7.77320 + 13.4636i 0.412559 + 0.714573i
\(356\) 7.70000 + 7.70000i 0.408099 + 0.408099i
\(357\) 3.80307 + 5.51929i 0.201280 + 0.292112i
\(358\) −4.41035 4.41035i −0.233094 0.233094i
\(359\) 1.29947 4.84968i 0.0685833 0.255956i −0.923119 0.384515i \(-0.874369\pi\)
0.991702 + 0.128559i \(0.0410352\pi\)
\(360\) −11.4820 6.62915i −0.605156 0.349387i
\(361\) −7.47558 4.31603i −0.393452 0.227159i
\(362\) −15.3498 4.11297i −0.806768 0.216173i
\(363\) 4.84597 0.254348
\(364\) −11.6272 6.62275i −0.609433 0.347126i
\(365\) 20.7043 1.08371
\(366\) 0.475221 + 0.127335i 0.0248402 + 0.00665591i
\(367\) 2.66201 + 1.53691i 0.138956 + 0.0802262i 0.567866 0.823121i \(-0.307769\pi\)
−0.428910 + 0.903347i \(0.641102\pi\)
\(368\) 0.564876 + 0.326131i 0.0294462 + 0.0170008i
\(369\) −0.0938150 + 0.350122i −0.00488382 + 0.0182266i
\(370\) 6.22969 + 6.22969i 0.323866 + 0.323866i
\(371\) −16.1804 7.69382i −0.840045 0.399443i
\(372\) −2.84937 2.84937i −0.147733 0.147733i
\(373\) −11.6754 20.2225i −0.604532 1.04708i −0.992125 0.125249i \(-0.960027\pi\)
0.387594 0.921830i \(-0.373306\pi\)
\(374\) −2.06124 + 3.57018i −0.106584 + 0.184609i
\(375\) −5.72716 + 1.53459i −0.295749 + 0.0792458i
\(376\) 2.96637 + 5.13790i 0.152979 + 0.264967i
\(377\) −2.75402 + 37.1989i −0.141839 + 1.91584i
\(378\) −5.64513 1.03925i −0.290354 0.0534534i
\(379\) −1.97284 + 1.97284i −0.101338 + 0.101338i −0.755958 0.654620i \(-0.772829\pi\)
0.654620 + 0.755958i \(0.272829\pi\)
\(380\) −6.72801 11.6533i −0.345140 0.597799i
\(381\) −2.87663 + 4.98247i −0.147374 + 0.255260i
\(382\) −2.76799 10.3303i −0.141623 0.528542i
\(383\) 0.801419 2.99094i 0.0409506 0.152830i −0.942423 0.334423i \(-0.891459\pi\)
0.983374 + 0.181593i \(0.0581253\pi\)
\(384\) 3.24152 3.24152i 0.165418 0.165418i
\(385\) −4.93655 + 0.394481i −0.251590 + 0.0201046i
\(386\) 18.8625 0.960074
\(387\) −17.6256 + 10.1761i −0.895960 + 0.517283i
\(388\) −1.27922 4.77413i −0.0649427 0.242370i
\(389\) 9.53607 + 5.50565i 0.483498 + 0.279148i 0.721873 0.692026i \(-0.243281\pi\)
−0.238375 + 0.971173i \(0.576615\pi\)
\(390\) 1.07679 + 2.23084i 0.0545254 + 0.112963i
\(391\) 4.38793i 0.221907i
\(392\) −14.9186 10.7843i −0.753501 0.544690i
\(393\) 7.52462 0.379567
\(394\) 13.5755 7.83783i 0.683925 0.394864i
\(395\) 18.1997 4.87660i 0.915727 0.245368i
\(396\) 1.02877 + 3.83943i 0.0516978 + 0.192939i
\(397\) 36.9941 + 9.91254i 1.85668 + 0.497496i 0.999837 0.0180784i \(-0.00575485\pi\)
0.856845 + 0.515575i \(0.172422\pi\)
\(398\) 8.09666 8.09666i 0.405849 0.405849i
\(399\) −5.15696 4.39376i −0.258171 0.219963i
\(400\) 1.29081i 0.0645407i
\(401\) −1.74089 + 6.49711i −0.0869361 + 0.324450i −0.995674 0.0929177i \(-0.970381\pi\)
0.908738 + 0.417368i \(0.137047\pi\)
\(402\) −0.810720 + 1.40421i −0.0404351 + 0.0700356i
\(403\) −3.97176 20.8884i −0.197847 1.04052i
\(404\) −2.95646 + 1.70691i −0.147089 + 0.0849222i
\(405\) 8.93036 + 8.93036i 0.443753 + 0.443753i
\(406\) −3.82995 + 20.8040i −0.190077 + 1.03248i
\(407\) 6.40725i 0.317595i
\(408\) −6.43515 1.72429i −0.318587 0.0853652i
\(409\) −32.8797 + 8.81009i −1.62580 + 0.435631i −0.952697 0.303920i \(-0.901704\pi\)
−0.673100 + 0.739552i \(0.735038\pi\)
\(410\) 0.178737 0.0478924i 0.00882718 0.00236524i
\(411\) −0.482329 0.129240i −0.0237915 0.00637492i
\(412\) 3.83832i 0.189101i
\(413\) 25.1334 8.93419i 1.23673 0.439623i
\(414\) 1.27384 + 1.27384i 0.0626060 + 0.0626060i
\(415\) −9.31953 + 5.38063i −0.457478 + 0.264125i
\(416\) 20.7459 3.94467i 1.01715 0.193403i
\(417\) −2.77733 + 4.81048i −0.136007 + 0.235570i
\(418\) 1.07848 4.02492i 0.0527499 0.196865i
\(419\) 35.5515i 1.73680i −0.495862 0.868401i \(-0.665148\pi\)
0.495862 0.868401i \(-0.334852\pi\)
\(420\) −1.10502 3.10862i −0.0539197 0.151685i
\(421\) −10.3166 + 10.3166i −0.502802 + 0.502802i −0.912308 0.409505i \(-0.865701\pi\)
0.409505 + 0.912308i \(0.365701\pi\)
\(422\) −5.21497 1.39735i −0.253861 0.0680218i
\(423\) −1.61313 6.02029i −0.0784332 0.292717i
\(424\) 17.2014 4.60909i 0.835372 0.223837i
\(425\) 7.52024 4.34181i 0.364785 0.210609i
\(426\) −3.20721 −0.155390
\(427\) −1.96178 2.84707i −0.0949371 0.137780i
\(428\) 3.16492i 0.152982i
\(429\) 0.593472 1.70095i 0.0286531 0.0821228i
\(430\) 8.99784 + 5.19490i 0.433914 + 0.250520i
\(431\) −9.24210 34.4920i −0.445176 1.66142i −0.715471 0.698643i \(-0.753788\pi\)
0.270294 0.962778i \(-0.412879\pi\)
\(432\) −1.87940 + 1.08507i −0.0904226 + 0.0522055i
\(433\) −18.6845 −0.897919 −0.448959 0.893552i \(-0.648205\pi\)
−0.448959 + 0.893552i \(0.648205\pi\)
\(434\) −0.960513 12.0199i −0.0461061 0.576974i
\(435\) −6.50305 + 6.50305i −0.311798 + 0.311798i
\(436\) 0.591256 2.20660i 0.0283160 0.105677i
\(437\) 1.14792 + 4.28409i 0.0549124 + 0.204936i
\(438\) −2.13564 + 3.69903i −0.102045 + 0.176747i
\(439\) −11.9158 20.6388i −0.568712 0.985038i −0.996694 0.0812508i \(-0.974109\pi\)
0.427982 0.903787i \(-0.359225\pi\)
\(440\) 3.48063 3.48063i 0.165932 0.165932i
\(441\) 12.2064 + 14.9999i 0.581259 + 0.714280i
\(442\) −9.46248 10.9756i −0.450084 0.522057i
\(443\) 11.6908 + 20.2490i 0.555445 + 0.962059i 0.997869 + 0.0652531i \(0.0207855\pi\)
−0.442424 + 0.896806i \(0.645881\pi\)
\(444\) 4.12302 1.10476i 0.195670 0.0524296i
\(445\) −7.08343 + 12.2689i −0.335787 + 0.581600i
\(446\) −10.6176 18.3903i −0.502760 0.870805i
\(447\) −2.63104 2.63104i −0.124444 0.124444i
\(448\) 7.86025 0.628114i 0.371362 0.0296756i
\(449\) −17.6188 17.6188i −0.831482 0.831482i 0.156237 0.987720i \(-0.450063\pi\)
−0.987720 + 0.156237i \(0.950063\pi\)
\(450\) −0.922717 + 3.44363i −0.0434973 + 0.162334i
\(451\) −0.116544 0.0672869i −0.00548786 0.00316842i
\(452\) −3.19766 1.84617i −0.150405 0.0868365i
\(453\) 3.22344 + 0.863719i 0.151451 + 0.0405810i
\(454\) 0.0544168 0.00255391
\(455\) 4.40734 16.8413i 0.206620 0.789531i
\(456\) 6.73394 0.315346
\(457\) −3.91842 1.04994i −0.183296 0.0491140i 0.166003 0.986125i \(-0.446914\pi\)
−0.349299 + 0.937011i \(0.613580\pi\)
\(458\) −3.65879 2.11241i −0.170964 0.0987062i
\(459\) 12.6432 + 7.29954i 0.590133 + 0.340713i
\(460\) −0.559003 + 2.08623i −0.0260637 + 0.0972709i
\(461\) −7.54874 7.54874i −0.351580 0.351580i 0.509117 0.860697i \(-0.329972\pi\)
−0.860697 + 0.509117i \(0.829972\pi\)
\(462\) 0.438726 0.922657i 0.0204114 0.0429259i
\(463\) 13.5419 + 13.5419i 0.629344 + 0.629344i 0.947903 0.318559i \(-0.103199\pi\)
−0.318559 + 0.947903i \(0.603199\pi\)
\(464\) 3.99881 + 6.92614i 0.185640 + 0.321538i
\(465\) 2.62121 4.54006i 0.121556 0.210540i
\(466\) −0.787117 + 0.210907i −0.0364625 + 0.00977009i
\(467\) −18.0634 31.2867i −0.835873 1.44777i −0.893318 0.449426i \(-0.851629\pi\)
0.0574445 0.998349i \(-0.481705\pi\)
\(468\) −13.9344 1.03164i −0.644120 0.0476874i
\(469\) 10.7368 3.81662i 0.495780 0.176235i
\(470\) −2.24985 + 2.24985i −0.103778 + 0.103778i
\(471\) 3.12921 + 5.41995i 0.144186 + 0.249738i
\(472\) −13.2564 + 22.9608i −0.610176 + 1.05686i
\(473\) −1.95566 7.29863i −0.0899215 0.335591i
\(474\) −1.00604 + 3.75459i −0.0462089 + 0.172454i
\(475\) −6.20642 + 6.20642i −0.284770 + 0.284770i
\(476\) 10.9511 + 15.8930i 0.501943 + 0.728456i
\(477\) −18.7085 −0.856601
\(478\) −17.6966 + 10.2171i −0.809423 + 0.467321i
\(479\) −8.54403 31.8868i −0.390387 1.45694i −0.829498 0.558510i \(-0.811373\pi\)
0.439111 0.898433i \(-0.355293\pi\)
\(480\) 4.50910 + 2.60333i 0.205811 + 0.118825i
\(481\) 21.2657 + 7.41972i 0.969633 + 0.338310i
\(482\) 7.57443i 0.345006i
\(483\) 0.0866213 + 1.08398i 0.00394141 + 0.0493229i
\(484\) 13.9542 0.634281
\(485\) 5.56864 3.21505i 0.252859 0.145988i
\(486\) −8.80344 + 2.35887i −0.399332 + 0.107001i
\(487\) −1.60059 5.97348i −0.0725297 0.270684i 0.920132 0.391608i \(-0.128081\pi\)
−0.992662 + 0.120924i \(0.961414\pi\)
\(488\) 3.31951 + 0.889460i 0.150267 + 0.0402640i
\(489\) 0.338117 0.338117i 0.0152902 0.0152902i
\(490\) 3.51583 9.22522i 0.158829 0.416753i
\(491\) 33.4149i 1.50799i 0.656879 + 0.753996i \(0.271876\pi\)
−0.656879 + 0.753996i \(0.728124\pi\)
\(492\) 0.0232037 0.0865973i 0.00104610 0.00390411i
\(493\) 26.9010 46.5938i 1.21156 2.09848i
\(494\) 12.1099 + 8.24041i 0.544848 + 0.370754i
\(495\) −4.47839 + 2.58560i −0.201289 + 0.116214i
\(496\) −3.22362 3.22362i −0.144745 0.144745i
\(497\) 17.1566 + 14.6175i 0.769577 + 0.655684i
\(498\) 2.22004i 0.0994824i
\(499\) 14.3549 + 3.84639i 0.642615 + 0.172188i 0.565388 0.824825i \(-0.308727\pi\)
0.0772276 + 0.997013i \(0.475393\pi\)
\(500\) −16.4916 + 4.41891i −0.737527 + 0.197620i
\(501\) −6.15612 + 1.64953i −0.275035 + 0.0736955i
\(502\) 18.6066 + 4.98561i 0.830452 + 0.222519i
\(503\) 24.9299i 1.11157i −0.831327 0.555784i \(-0.812418\pi\)
0.831327 0.555784i \(-0.187582\pi\)
\(504\) −18.9043 3.48023i −0.842065 0.155022i
\(505\) −3.14047 3.14047i −0.139749 0.139749i
\(506\) −0.579223 + 0.334415i −0.0257496 + 0.0148665i
\(507\) 4.95822 + 3.93948i 0.220202 + 0.174958i
\(508\) −8.28337 + 14.3472i −0.367515 + 0.636555i
\(509\) 0.493093 1.84025i 0.0218560 0.0815676i −0.954136 0.299372i \(-0.903223\pi\)
0.975992 + 0.217804i \(0.0698895\pi\)
\(510\) 3.57295i 0.158213i
\(511\) 28.2834 10.0539i 1.25118 0.444759i
\(512\) 6.07668 6.07668i 0.268554 0.268554i
\(513\) −14.2536 3.81924i −0.629311 0.168623i
\(514\) 0.792573 + 2.95792i 0.0349589 + 0.130468i
\(515\) −4.82340 + 1.29243i −0.212545 + 0.0569511i
\(516\) 4.35942 2.51691i 0.191913 0.110801i
\(517\) 2.31397 0.101768
\(518\) 11.5353 + 5.48505i 0.506831 + 0.240999i
\(519\) 10.7715i 0.472818i
\(520\) 7.52159 + 15.5829i 0.329844 + 0.683354i
\(521\) 9.41368 + 5.43499i 0.412421 + 0.238111i 0.691829 0.722061i \(-0.256805\pi\)
−0.279409 + 0.960172i \(0.590138\pi\)
\(522\) 5.71696 + 21.3360i 0.250225 + 0.933851i
\(523\) −20.2470 + 11.6896i −0.885339 + 0.511151i −0.872415 0.488766i \(-0.837447\pi\)
−0.0129241 + 0.999916i \(0.504114\pi\)
\(524\) 21.6675 0.946547
\(525\) −1.77207 + 1.22105i −0.0773394 + 0.0532908i
\(526\) −16.9009 + 16.9009i −0.736914 + 0.736914i
\(527\) −7.93767 + 29.6238i −0.345770 + 1.29043i
\(528\) −0.0999715 0.373099i −0.00435070 0.0162370i
\(529\) −11.1441 + 19.3021i −0.484524 + 0.839220i
\(530\) 4.77531 + 8.27109i 0.207426 + 0.359273i
\(531\) 19.6952 19.6952i 0.854697 0.854697i
\(532\) −14.8497 12.6520i −0.643815 0.548534i
\(533\) 0.358286 0.308892i 0.0155191 0.0133796i
\(534\) −1.46131 2.53106i −0.0632369 0.109530i
\(535\) −3.97717 + 1.06568i −0.171948 + 0.0460733i
\(536\) −5.66304 + 9.80868i −0.244606 + 0.423670i
\(537\) −1.96570 3.40469i −0.0848261 0.146923i
\(538\) −6.01752 6.01752i −0.259434 0.259434i
\(539\) −6.55210 + 2.93606i −0.282219 + 0.126465i
\(540\) −5.08123 5.08123i −0.218661 0.218661i
\(541\) −1.75979 + 6.56763i −0.0756593 + 0.282364i −0.993382 0.114857i \(-0.963359\pi\)
0.917723 + 0.397222i \(0.130026\pi\)
\(542\) 3.35247 + 1.93555i 0.144001 + 0.0831390i
\(543\) −8.67457 5.00827i −0.372261 0.214925i
\(544\) −29.4217 7.88353i −1.26145 0.338003i
\(545\) 2.97199 0.127306
\(546\) 2.55425 + 2.52459i 0.109312 + 0.108042i
\(547\) −14.2303 −0.608446 −0.304223 0.952601i \(-0.598397\pi\)
−0.304223 + 0.952601i \(0.598397\pi\)
\(548\) −1.38889 0.372151i −0.0593303 0.0158975i
\(549\) −3.12665 1.80517i −0.133442 0.0770429i
\(550\) −1.14627 0.661800i −0.0488772 0.0282192i
\(551\) −14.0750 + 52.5287i −0.599616 + 2.23780i
\(552\) −0.764286 0.764286i −0.0325302 0.0325302i
\(553\) 22.4939 15.4995i 0.956540 0.659104i
\(554\) −6.67114 6.67114i −0.283429 0.283429i
\(555\) 2.77658 + 4.80917i 0.117859 + 0.204138i
\(556\) −7.99745 + 13.8520i −0.339167 + 0.587455i
\(557\) −7.83328 + 2.09892i −0.331907 + 0.0889342i −0.420924 0.907096i \(-0.638294\pi\)
0.0890171 + 0.996030i \(0.471627\pi\)
\(558\) −6.29561 10.9043i −0.266514 0.461617i
\(559\) 26.4889 + 1.96111i 1.12036 + 0.0829459i
\(560\) −1.25017 3.51693i −0.0528292 0.148617i
\(561\) −1.83739 + 1.83739i −0.0775749 + 0.0775749i
\(562\) 7.01412 + 12.1488i 0.295873 + 0.512467i
\(563\) 17.7523 30.7479i 0.748170 1.29587i −0.200529 0.979688i \(-0.564266\pi\)
0.948699 0.316181i \(-0.102401\pi\)
\(564\) 0.398983 + 1.48902i 0.0168002 + 0.0626992i
\(565\) 1.24327 4.63995i 0.0523048 0.195204i
\(566\) −9.23508 + 9.23508i −0.388179 + 0.388179i
\(567\) 16.5360 + 7.86291i 0.694447 + 0.330211i
\(568\) −22.4030 −0.940009
\(569\) 27.4931 15.8731i 1.15257 0.665437i 0.203058 0.979167i \(-0.434912\pi\)
0.949512 + 0.313730i \(0.101579\pi\)
\(570\) 0.934713 + 3.48840i 0.0391508 + 0.146113i
\(571\) 7.15860 + 4.13302i 0.299578 + 0.172961i 0.642253 0.766492i \(-0.278000\pi\)
−0.342675 + 0.939454i \(0.611333\pi\)
\(572\) 1.70893 4.89796i 0.0714538 0.204794i
\(573\) 6.74103i 0.281611i
\(574\) 0.220910 0.152218i 0.00922060 0.00635346i
\(575\) 1.40883 0.0587521
\(576\) 7.13073 4.11693i 0.297114 0.171539i
\(577\) −3.25238 + 0.871473i −0.135398 + 0.0362799i −0.325882 0.945411i \(-0.605661\pi\)
0.190483 + 0.981690i \(0.438994\pi\)
\(578\) 2.00946 + 7.49942i 0.0835826 + 0.311935i
\(579\) 11.4842 + 3.07718i 0.477267 + 0.127883i
\(580\) −18.7258 + 18.7258i −0.777547 + 0.777547i
\(581\) −10.1183 + 11.8758i −0.419777 + 0.492692i
\(582\) 1.32653i 0.0549863i
\(583\) 1.79770 6.70912i 0.0744533 0.277864i
\(584\) −14.9178 + 25.8385i −0.617305 + 1.06920i
\(585\) −3.39556 17.8580i −0.140389 0.738337i
\(586\) 10.5238 6.07591i 0.434734 0.250994i
\(587\) −3.33097 3.33097i −0.137484 0.137484i 0.635016 0.772499i \(-0.280994\pi\)
−0.772499 + 0.635016i \(0.780994\pi\)
\(588\) −3.01907 3.70999i −0.124504 0.152997i
\(589\) 30.9993i 1.27730i
\(590\) −13.7345 3.68014i −0.565440 0.151509i
\(591\) 9.54395 2.55729i 0.392586 0.105193i
\(592\) 4.66457 1.24987i 0.191713 0.0513692i
\(593\) 14.5195 + 3.89048i 0.596243 + 0.159763i 0.544305 0.838888i \(-0.316793\pi\)
0.0519381 + 0.998650i \(0.483460\pi\)
\(594\) 2.22526i 0.0913035i
\(595\) −16.2844 + 19.1131i −0.667597 + 0.783559i
\(596\) −7.57618 7.57618i −0.310332 0.310332i
\(597\) 6.25043 3.60869i 0.255813 0.147694i
\(598\) −0.439173 2.30971i −0.0179591 0.0944509i
\(599\) −3.63773 + 6.30073i −0.148633 + 0.257441i −0.930723 0.365726i \(-0.880821\pi\)
0.782089 + 0.623167i \(0.214154\pi\)
\(600\) 0.553616 2.06612i 0.0226013 0.0843491i
\(601\) 2.83288i 0.115555i 0.998329 + 0.0577777i \(0.0184015\pi\)
−0.998329 + 0.0577777i \(0.981599\pi\)
\(602\) 14.8143 + 2.72726i 0.603784 + 0.111155i
\(603\) 8.41363 8.41363i 0.342630 0.342630i
\(604\) 9.28204 + 2.48711i 0.377681 + 0.101199i
\(605\) 4.69860 + 17.5354i 0.191025 + 0.712916i
\(606\) 0.885016 0.237139i 0.0359513 0.00963313i
\(607\) −23.8592 + 13.7751i −0.968414 + 0.559114i −0.898752 0.438456i \(-0.855525\pi\)
−0.0696619 + 0.997571i \(0.522192\pi\)
\(608\) 30.7878 1.24861
\(609\) −5.72574 + 12.0415i −0.232019 + 0.487945i
\(610\) 1.84308i 0.0746239i
\(611\) −2.67963 + 7.68009i −0.108406 + 0.310703i
\(612\) 17.4537 + 10.0769i 0.705524 + 0.407334i
\(613\) −6.36125 23.7405i −0.256928 0.958870i −0.967008 0.254748i \(-0.918008\pi\)
0.710079 0.704122i \(-0.248659\pi\)
\(614\) 13.8765 8.01163i 0.560012 0.323323i
\(615\) 0.116635 0.00470318
\(616\) 3.06458 6.44494i 0.123476 0.259674i
\(617\) −10.3106 + 10.3106i −0.415090 + 0.415090i −0.883507 0.468417i \(-0.844824\pi\)
0.468417 + 0.883507i \(0.344824\pi\)
\(618\) 0.266627 0.995064i 0.0107253 0.0400274i
\(619\) 7.84564 + 29.2803i 0.315343 + 1.17688i 0.923670 + 0.383189i \(0.125174\pi\)
−0.608327 + 0.793686i \(0.708159\pi\)
\(620\) 7.54788 13.0733i 0.303130 0.525037i
\(621\) 1.18427 + 2.05122i 0.0475232 + 0.0823126i
\(622\) 5.85080 5.85080i 0.234596 0.234596i
\(623\) −3.71872 + 20.1998i −0.148987 + 0.809286i
\(624\) 1.35409 + 0.100250i 0.0542069 + 0.00401320i
\(625\) −6.93163 12.0059i −0.277265 0.480237i
\(626\) 8.02445 2.15015i 0.320722 0.0859371i
\(627\) 1.31323 2.27459i 0.0524455 0.0908383i
\(628\) 9.01070 + 15.6070i 0.359566 + 0.622786i
\(629\) −22.9715 22.9715i −0.915935 0.915935i
\(630\) −0.821167 10.2761i −0.0327161 0.409410i
\(631\) −9.56348 9.56348i −0.380716 0.380716i 0.490644 0.871360i \(-0.336762\pi\)
−0.871360 + 0.490644i \(0.836762\pi\)
\(632\) −7.02738 + 26.2265i −0.279534 + 1.04324i
\(633\) −2.94712 1.70152i −0.117137 0.0676293i
\(634\) 7.84675 + 4.53032i 0.311634 + 0.179922i
\(635\) −20.8185 5.57829i −0.826156 0.221368i
\(636\) 4.62724 0.183482
\(637\) −2.15734 25.1465i −0.0854770 0.996340i
\(638\) −8.20074 −0.324671
\(639\) 22.7336 + 6.09146i 0.899329 + 0.240974i
\(640\) 14.8726 + 8.58668i 0.587890 + 0.339418i
\(641\) −23.6472 13.6527i −0.934010 0.539251i −0.0459322 0.998945i \(-0.514626\pi\)
−0.888077 + 0.459694i \(0.847959\pi\)
\(642\) 0.219849 0.820487i 0.00867674 0.0323820i
\(643\) −17.4331 17.4331i −0.687495 0.687495i 0.274183 0.961678i \(-0.411593\pi\)
−0.961678 + 0.274183i \(0.911593\pi\)
\(644\) 0.249430 + 3.12137i 0.00982891 + 0.122999i
\(645\) 4.63075 + 4.63075i 0.182335 + 0.182335i
\(646\) −10.5637 18.2969i −0.415625 0.719883i
\(647\) −9.60708 + 16.6399i −0.377693 + 0.654184i −0.990726 0.135874i \(-0.956616\pi\)
0.613033 + 0.790057i \(0.289949\pi\)
\(648\) −17.5794 + 4.71039i −0.690584 + 0.185042i
\(649\) 5.17046 + 8.95549i 0.202958 + 0.351534i
\(650\) 3.52392 3.03810i 0.138220 0.119164i
\(651\) 1.37610 7.47487i 0.0539337 0.292963i
\(652\) 0.973622 0.973622i 0.0381300 0.0381300i
\(653\) 9.08140 + 15.7294i 0.355383 + 0.615541i 0.987183 0.159590i \(-0.0510173\pi\)
−0.631801 + 0.775131i \(0.717684\pi\)
\(654\) −0.306560 + 0.530977i −0.0119874 + 0.0207628i
\(655\) 7.29579 + 27.2283i 0.285070 + 1.06390i
\(656\) 0.0262514 0.0979717i 0.00102495 0.00382515i
\(657\) 22.1636 22.1636i 0.864683 0.864683i
\(658\) −1.98092 + 4.16595i −0.0772243 + 0.162406i
\(659\) −36.6851 −1.42905 −0.714525 0.699610i \(-0.753357\pi\)
−0.714525 + 0.699610i \(0.753357\pi\)
\(660\) 1.10766 0.639507i 0.0431156 0.0248928i
\(661\) −0.651913 2.43297i −0.0253565 0.0946316i 0.952088 0.305824i \(-0.0989320\pi\)
−0.977444 + 0.211193i \(0.932265\pi\)
\(662\) −18.1468 10.4771i −0.705296 0.407203i
\(663\) −3.97059 8.22607i −0.154205 0.319474i
\(664\) 15.5074i 0.601805i
\(665\) 10.8989 22.9209i 0.422642 0.888834i
\(666\) 13.3376 0.516820
\(667\) 7.55935 4.36440i 0.292699 0.168990i
\(668\) −17.7268 + 4.74988i −0.685871 + 0.183779i
\(669\) −3.46428 12.9289i −0.133937 0.499858i
\(670\) −5.86727 1.57213i −0.226673 0.0607367i
\(671\) 0.947803 0.947803i 0.0365895 0.0365895i
\(672\) 7.42389 + 1.36672i 0.286383 + 0.0527222i
\(673\) 3.52257i 0.135785i 0.997693 + 0.0678925i \(0.0216275\pi\)
−0.997693 + 0.0678925i \(0.978373\pi\)
\(674\) 4.11875 15.3714i 0.158648 0.592084i
\(675\) −2.34365 + 4.05932i −0.0902072 + 0.156243i
\(676\) 14.2774 + 11.3439i 0.549131 + 0.436303i
\(677\) 18.4439 10.6486i 0.708857 0.409259i −0.101781 0.994807i \(-0.532454\pi\)
0.810638 + 0.585548i \(0.199121\pi\)
\(678\) 0.700732 + 0.700732i 0.0269115 + 0.0269115i
\(679\) 6.04591 7.09609i 0.232021 0.272323i
\(680\) 24.9578i 0.957087i
\(681\) 0.0331310 + 0.00887743i 0.00126958 + 0.000340184i
\(682\) 4.51540 1.20990i 0.172903 0.0463293i
\(683\) −1.95301 + 0.523307i −0.0747298 + 0.0200238i −0.295990 0.955191i \(-0.595650\pi\)
0.221260 + 0.975215i \(0.428983\pi\)
\(684\) −19.6768 5.27239i −0.752363 0.201595i
\(685\) 1.87064i 0.0714736i
\(686\) 0.323121 14.3095i 0.0123368 0.546340i
\(687\) −1.88300 1.88300i −0.0718410 0.0718410i
\(688\) 4.93202 2.84750i 0.188031 0.108560i
\(689\) 20.1859 + 13.7359i 0.769020 + 0.523296i
\(690\) 0.289837 0.502012i 0.0110339 0.0191113i
\(691\) −0.329271 + 1.22886i −0.0125261 + 0.0467479i −0.971906 0.235369i \(-0.924370\pi\)
0.959380 + 0.282117i \(0.0910367\pi\)
\(692\) 31.0171i 1.17909i
\(693\) −4.86221 + 5.70679i −0.184700 + 0.216783i
\(694\) 8.18579 8.18579i 0.310728 0.310728i
\(695\) −20.0999 5.38575i −0.762432 0.204293i
\(696\) −3.43009 12.8013i −0.130017 0.485230i
\(697\) −0.659080 + 0.176600i −0.0249644 + 0.00668920i
\(698\) 3.08279 1.77985i 0.116685 0.0673683i
\(699\) −0.513634 −0.0194274
\(700\) −5.10275 + 3.51605i −0.192866 + 0.132894i
\(701\) 2.12113i 0.0801138i 0.999197 + 0.0400569i \(0.0127539\pi\)
−0.999197 + 0.0400569i \(0.987246\pi\)
\(702\) 7.38566 + 2.57690i 0.278754 + 0.0972587i
\(703\) 28.4374 + 16.4184i 1.07254 + 0.619230i
\(704\) 0.791196 + 2.95278i 0.0298193 + 0.111287i
\(705\) −1.73683 + 1.00276i −0.0654127 + 0.0377660i
\(706\) −4.30869 −0.162160
\(707\) −5.81509 2.76509i −0.218699 0.103992i
\(708\) −4.87129 + 4.87129i −0.183074 + 0.183074i
\(709\) −0.362596 + 1.35323i −0.0136176 + 0.0508214i −0.972400 0.233319i \(-0.925041\pi\)
0.958783 + 0.284140i \(0.0917081\pi\)
\(710\) −3.10968 11.6055i −0.116704 0.435546i
\(711\) 14.2622 24.7028i 0.534873 0.926428i
\(712\) −10.2075 17.6799i −0.382543 0.662583i
\(713\) −3.51834 + 3.51834i −0.131763 + 0.131763i
\(714\) −1.73501 4.88089i −0.0649312 0.182663i
\(715\) 6.73041 + 0.498286i 0.251703 + 0.0186348i
\(716\) −5.66031 9.80394i −0.211536 0.366390i
\(717\) −12.4412 + 3.33360i −0.464624 + 0.124496i
\(718\) −1.94012 + 3.36038i −0.0724046 + 0.125408i
\(719\) 16.5251 + 28.6223i 0.616281 + 1.06743i 0.990158 + 0.139952i \(0.0446949\pi\)
−0.373877 + 0.927478i \(0.621972\pi\)
\(720\) −2.75596 2.75596i −0.102708 0.102708i
\(721\) −5.96149 + 4.10777i −0.222017 + 0.152981i
\(722\) 4.71725 + 4.71725i 0.175558 + 0.175558i
\(723\) −1.23568 + 4.61161i −0.0459553 + 0.171507i
\(724\) −24.9788 14.4215i −0.928329 0.535971i
\(725\) 14.9598 + 8.63705i 0.555593 + 0.320772i
\(726\) −3.61755 0.969318i −0.134260 0.0359748i
\(727\) −33.8896 −1.25689 −0.628447 0.777852i \(-0.716309\pi\)
−0.628447 + 0.777852i \(0.716309\pi\)
\(728\) 17.8420 + 17.6348i 0.661267 + 0.653588i
\(729\) 15.0172 0.556192
\(730\) −15.4558 4.14138i −0.572046 0.153279i
\(731\) −33.1789 19.1558i −1.22717 0.708504i
\(732\) 0.773329 + 0.446481i 0.0285830 + 0.0165024i
\(733\) 10.1931 38.0411i 0.376490 1.40508i −0.474666 0.880166i \(-0.657431\pi\)
0.851156 0.524913i \(-0.175902\pi\)
\(734\) −1.67978 1.67978i −0.0620020 0.0620020i
\(735\) 3.64556 5.04311i 0.134468 0.186018i
\(736\) −3.49434 3.49434i −0.128803 0.128803i
\(737\) 2.20878 + 3.82572i 0.0813615 + 0.140922i
\(738\) 0.140067 0.242603i 0.00515593 0.00893034i
\(739\) 36.4024 9.75398i 1.33908 0.358806i 0.482989 0.875627i \(-0.339551\pi\)
0.856094 + 0.516820i \(0.172885\pi\)
\(740\) 7.99527 + 13.8482i 0.293912 + 0.509070i
\(741\) 6.02863 + 6.99266i 0.221467 + 0.256882i
\(742\) 10.5398 + 8.97997i 0.386928 + 0.329665i
\(743\) −31.2340 + 31.2340i −1.14587 + 1.14587i −0.158508 + 0.987358i \(0.550668\pi\)
−0.987358 + 0.158508i \(0.949332\pi\)
\(744\) 3.77727 + 6.54242i 0.138481 + 0.239857i
\(745\) 6.96952 12.0716i 0.255344 0.442268i
\(746\) 4.67077 + 17.4316i 0.171009 + 0.638215i
\(747\) −4.21652 + 15.7363i −0.154275 + 0.575760i
\(748\) −5.29086 + 5.29086i −0.193453 + 0.193453i
\(749\) −4.91559 + 3.38709i −0.179612 + 0.123762i
\(750\) 4.58231 0.167322
\(751\) −15.6656 + 9.04454i −0.571646 + 0.330040i −0.757806 0.652479i \(-0.773729\pi\)
0.186161 + 0.982519i \(0.440396\pi\)
\(752\) 0.451388 + 1.68460i 0.0164604 + 0.0614312i
\(753\) 10.5151 + 6.07087i 0.383190 + 0.221235i
\(754\) 9.49663 27.2183i 0.345847 0.991233i
\(755\) 12.5017i 0.454982i
\(756\) −9.40871 4.47386i −0.342192 0.162713i
\(757\) 4.04733 0.147103 0.0735514 0.997291i \(-0.476567\pi\)
0.0735514 + 0.997291i \(0.476567\pi\)
\(758\) 1.86735 1.07812i 0.0678254 0.0391590i
\(759\) −0.407209 + 0.109111i −0.0147808 + 0.00396049i
\(760\) 6.52916 + 24.3671i 0.236837 + 0.883889i
\(761\) −37.0456 9.92634i −1.34290 0.359830i −0.485392 0.874296i \(-0.661323\pi\)
−0.857510 + 0.514467i \(0.827990\pi\)
\(762\) 3.14404 3.14404i 0.113897 0.113897i
\(763\) 4.05993 1.44319i 0.146979 0.0522469i
\(764\) 19.4111i 0.702268i
\(765\) −6.78611 + 25.3261i −0.245352 + 0.915667i
\(766\) −1.19653 + 2.07245i −0.0432323 + 0.0748805i
\(767\) −35.7108 + 6.79014i −1.28944 + 0.245178i
\(768\) −5.58285 + 3.22326i −0.201454 + 0.116309i
\(769\) 24.8051 + 24.8051i 0.894496 + 0.894496i 0.994942 0.100446i \(-0.0320271\pi\)
−0.100446 + 0.994942i \(0.532027\pi\)
\(770\) 3.76407 + 0.692954i 0.135648 + 0.0249723i
\(771\) 1.93020i 0.0695143i
\(772\) 33.0692 + 8.86087i 1.19019 + 0.318910i
\(773\) 29.1030 7.79813i 1.04676 0.280479i 0.305850