Properties

Label 273.2.r.b.269.15
Level $273$
Weight $2$
Character 273.269
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 269.15
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.18

$q$-expansion

\(f(q)\) \(=\) \(q-0.546208i q^{2} +(-0.761914 + 1.55547i) q^{3} +1.70166 q^{4} +(1.25657 + 2.17644i) q^{5} +(0.849611 + 0.416164i) q^{6} +(-0.612705 + 2.57383i) q^{7} -2.02188i q^{8} +(-1.83897 - 2.37027i) q^{9} +O(q^{10})\) \(q-0.546208i q^{2} +(-0.761914 + 1.55547i) q^{3} +1.70166 q^{4} +(1.25657 + 2.17644i) q^{5} +(0.849611 + 0.416164i) q^{6} +(-0.612705 + 2.57383i) q^{7} -2.02188i q^{8} +(-1.83897 - 2.37027i) q^{9} +(1.18879 - 0.686349i) q^{10} +(-5.22008 + 3.01382i) q^{11} +(-1.29652 + 2.64688i) q^{12} +(1.89716 - 3.06607i) q^{13} +(1.40585 + 0.334664i) q^{14} +(-4.34279 + 0.296295i) q^{15} +2.29895 q^{16} -0.647303 q^{17} +(-1.29466 + 1.00446i) q^{18} +(1.98801 + 1.14778i) q^{19} +(2.13825 + 3.70356i) q^{20} +(-3.53668 - 2.91408i) q^{21} +(1.64617 + 2.85125i) q^{22} -1.03331i q^{23} +(3.14497 + 1.54049i) q^{24} +(-0.657937 + 1.13958i) q^{25} +(-1.67471 - 1.03624i) q^{26} +(5.08802 - 1.05453i) q^{27} +(-1.04261 + 4.37977i) q^{28} +(4.46255 + 2.57646i) q^{29} +(0.161839 + 2.37207i) q^{30} +(9.25745 + 5.34479i) q^{31} -5.29946i q^{32} +(-0.710648 - 10.4160i) q^{33} +0.353562i q^{34} +(-6.37170 + 1.90068i) q^{35} +(-3.12930 - 4.03338i) q^{36} -3.95532 q^{37} +(0.626924 - 1.08587i) q^{38} +(3.32372 + 5.28705i) q^{39} +(4.40050 - 2.54063i) q^{40} +(4.48689 - 7.77153i) q^{41} +(-1.59169 + 1.93177i) q^{42} +(-4.09951 - 7.10056i) q^{43} +(-8.88279 + 5.12848i) q^{44} +(2.84795 - 6.98083i) q^{45} -0.564403 q^{46} +(2.09646 + 3.63118i) q^{47} +(-1.75160 + 3.57594i) q^{48} +(-6.24919 - 3.15399i) q^{49} +(0.622448 + 0.359370i) q^{50} +(0.493189 - 1.00686i) q^{51} +(3.22831 - 5.21740i) q^{52} +(0.0406517 + 0.0234703i) q^{53} +(-0.575993 - 2.77912i) q^{54} +(-13.1188 - 7.57414i) q^{55} +(5.20396 + 1.23881i) q^{56} +(-3.30002 + 2.21778i) q^{57} +(1.40728 - 2.43748i) q^{58} -1.66230 q^{59} +(-7.38994 + 0.504192i) q^{60} +(-3.11142 - 1.79638i) q^{61} +(2.91937 - 5.05650i) q^{62} +(7.22741 - 3.28093i) q^{63} +1.70329 q^{64} +(9.05704 + 0.276316i) q^{65} +(-5.68928 + 0.388162i) q^{66} +(-0.761254 - 1.31853i) q^{67} -1.10149 q^{68} +(1.60728 + 0.787294i) q^{69} +(1.03817 + 3.48027i) q^{70} +(11.4729 - 6.62389i) q^{71} +(-4.79239 + 3.71818i) q^{72} +(4.76835 + 2.75301i) q^{73} +2.16043i q^{74} +(-1.27129 - 1.89166i) q^{75} +(3.38290 + 1.95312i) q^{76} +(-4.55868 - 15.2822i) q^{77} +(2.88783 - 1.81544i) q^{78} +(-2.14796 - 3.72038i) q^{79} +(2.88879 + 5.00353i) q^{80} +(-2.23634 + 8.71773i) q^{81} +(-4.24487 - 2.45078i) q^{82} -11.8816 q^{83} +(-6.01822 - 4.95876i) q^{84} +(-0.813381 - 1.40882i) q^{85} +(-3.87838 + 2.23919i) q^{86} +(-7.40768 + 4.97833i) q^{87} +(6.09356 + 10.5544i) q^{88} +1.01554 q^{89} +(-3.81299 - 1.55558i) q^{90} +(6.72915 + 6.76155i) q^{91} -1.75834i q^{92} +(-15.3671 + 10.3274i) q^{93} +(1.98338 - 1.14510i) q^{94} +5.76904i q^{95} +(8.24314 + 4.03773i) q^{96} +(-8.58147 + 4.95452i) q^{97} +(-1.72274 + 3.41336i) q^{98} +(16.7432 + 6.83067i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.546208i 0.386228i −0.981176 0.193114i \(-0.938141\pi\)
0.981176 0.193114i \(-0.0618587\pi\)
\(3\) −0.761914 + 1.55547i −0.439891 + 0.898051i
\(4\) 1.70166 0.850828
\(5\) 1.25657 + 2.17644i 0.561955 + 0.973335i 0.997326 + 0.0730836i \(0.0232840\pi\)
−0.435371 + 0.900251i \(0.643383\pi\)
\(6\) 0.849611 + 0.416164i 0.346852 + 0.169898i
\(7\) −0.612705 + 2.57383i −0.231581 + 0.972816i
\(8\) 2.02188i 0.714841i
\(9\) −1.83897 2.37027i −0.612992 0.790089i
\(10\) 1.18879 0.686349i 0.375929 0.217043i
\(11\) −5.22008 + 3.01382i −1.57391 + 0.908700i −0.578232 + 0.815872i \(0.696257\pi\)
−0.995682 + 0.0928275i \(0.970409\pi\)
\(12\) −1.29652 + 2.64688i −0.374272 + 0.764087i
\(13\) 1.89716 3.06607i 0.526176 0.850376i
\(14\) 1.40585 + 0.334664i 0.375728 + 0.0894428i
\(15\) −4.34279 + 0.296295i −1.12130 + 0.0765030i
\(16\) 2.29895 0.574737
\(17\) −0.647303 −0.156994 −0.0784970 0.996914i \(-0.525012\pi\)
−0.0784970 + 0.996914i \(0.525012\pi\)
\(18\) −1.29466 + 1.00446i −0.305154 + 0.236754i
\(19\) 1.98801 + 1.14778i 0.456080 + 0.263318i 0.710394 0.703804i \(-0.248517\pi\)
−0.254315 + 0.967122i \(0.581850\pi\)
\(20\) 2.13825 + 3.70356i 0.478127 + 0.828141i
\(21\) −3.53668 2.91408i −0.771768 0.635904i
\(22\) 1.64617 + 2.85125i 0.350965 + 0.607889i
\(23\) 1.03331i 0.215460i −0.994180 0.107730i \(-0.965642\pi\)
0.994180 0.107730i \(-0.0343582\pi\)
\(24\) 3.14497 + 1.54049i 0.641964 + 0.314452i
\(25\) −0.657937 + 1.13958i −0.131587 + 0.227916i
\(26\) −1.67471 1.03624i −0.328438 0.203224i
\(27\) 5.08802 1.05453i 0.979190 0.202944i
\(28\) −1.04261 + 4.37977i −0.197035 + 0.827699i
\(29\) 4.46255 + 2.57646i 0.828676 + 0.478436i 0.853399 0.521258i \(-0.174537\pi\)
−0.0247234 + 0.999694i \(0.507871\pi\)
\(30\) 0.161839 + 2.37207i 0.0295476 + 0.433078i
\(31\) 9.25745 + 5.34479i 1.66269 + 0.959953i 0.971424 + 0.237351i \(0.0762792\pi\)
0.691264 + 0.722602i \(0.257054\pi\)
\(32\) 5.29946i 0.936820i
\(33\) −0.710648 10.4160i −0.123708 1.81318i
\(34\) 0.353562i 0.0606354i
\(35\) −6.37170 + 1.90068i −1.07701 + 0.321273i
\(36\) −3.12930 4.03338i −0.521551 0.672230i
\(37\) −3.95532 −0.650251 −0.325126 0.945671i \(-0.605407\pi\)
−0.325126 + 0.945671i \(0.605407\pi\)
\(38\) 0.626924 1.08587i 0.101701 0.176151i
\(39\) 3.32372 + 5.28705i 0.532220 + 0.846606i
\(40\) 4.40050 2.54063i 0.695780 0.401709i
\(41\) 4.48689 7.77153i 0.700735 1.21371i −0.267474 0.963565i \(-0.586189\pi\)
0.968209 0.250143i \(-0.0804778\pi\)
\(42\) −1.59169 + 1.93177i −0.245604 + 0.298078i
\(43\) −4.09951 7.10056i −0.625169 1.08282i −0.988508 0.151168i \(-0.951697\pi\)
0.363339 0.931657i \(-0.381637\pi\)
\(44\) −8.88279 + 5.12848i −1.33913 + 0.773147i
\(45\) 2.84795 6.98083i 0.424548 1.04064i
\(46\) −0.564403 −0.0832167
\(47\) 2.09646 + 3.63118i 0.305800 + 0.529662i 0.977439 0.211217i \(-0.0677426\pi\)
−0.671639 + 0.740879i \(0.734409\pi\)
\(48\) −1.75160 + 3.57594i −0.252822 + 0.516143i
\(49\) −6.24919 3.15399i −0.892741 0.450571i
\(50\) 0.622448 + 0.359370i 0.0880274 + 0.0508226i
\(51\) 0.493189 1.00686i 0.0690603 0.140989i
\(52\) 3.22831 5.21740i 0.447686 0.723524i
\(53\) 0.0406517 + 0.0234703i 0.00558394 + 0.00322389i 0.502789 0.864409i \(-0.332307\pi\)
−0.497205 + 0.867633i \(0.665640\pi\)
\(54\) −0.575993 2.77912i −0.0783827 0.378190i
\(55\) −13.1188 7.57414i −1.76894 1.02130i
\(56\) 5.20396 + 1.23881i 0.695408 + 0.165543i
\(57\) −3.30002 + 2.21778i −0.437098 + 0.293752i
\(58\) 1.40728 2.43748i 0.184785 0.320057i
\(59\) −1.66230 −0.216413 −0.108206 0.994128i \(-0.534511\pi\)
−0.108206 + 0.994128i \(0.534511\pi\)
\(60\) −7.38994 + 0.504192i −0.954037 + 0.0650909i
\(61\) −3.11142 1.79638i −0.398377 0.230003i 0.287406 0.957809i \(-0.407207\pi\)
−0.685783 + 0.727806i \(0.740540\pi\)
\(62\) 2.91937 5.05650i 0.370760 0.642176i
\(63\) 7.22741 3.28093i 0.910568 0.413358i
\(64\) 1.70329 0.212911
\(65\) 9.05704 + 0.276316i 1.12339 + 0.0342728i
\(66\) −5.68928 + 0.388162i −0.700302 + 0.0477794i
\(67\) −0.761254 1.31853i −0.0930020 0.161084i 0.815771 0.578375i \(-0.196313\pi\)
−0.908773 + 0.417291i \(0.862980\pi\)
\(68\) −1.10149 −0.133575
\(69\) 1.60728 + 0.787294i 0.193494 + 0.0947791i
\(70\) 1.03817 + 3.48027i 0.124085 + 0.415972i
\(71\) 11.4729 6.62389i 1.36158 0.786111i 0.371749 0.928333i \(-0.378758\pi\)
0.989835 + 0.142222i \(0.0454248\pi\)
\(72\) −4.79239 + 3.71818i −0.564788 + 0.438191i
\(73\) 4.76835 + 2.75301i 0.558093 + 0.322215i 0.752380 0.658730i \(-0.228906\pi\)
−0.194287 + 0.980945i \(0.562239\pi\)
\(74\) 2.16043i 0.251145i
\(75\) −1.27129 1.89166i −0.146796 0.218430i
\(76\) 3.38290 + 1.95312i 0.388046 + 0.224038i
\(77\) −4.55868 15.2822i −0.519509 1.74157i
\(78\) 2.88783 1.81544i 0.326983 0.205558i
\(79\) −2.14796 3.72038i −0.241665 0.418575i 0.719524 0.694468i \(-0.244360\pi\)
−0.961189 + 0.275892i \(0.911027\pi\)
\(80\) 2.88879 + 5.00353i 0.322976 + 0.559412i
\(81\) −2.23634 + 8.71773i −0.248483 + 0.968636i
\(82\) −4.24487 2.45078i −0.468768 0.270643i
\(83\) −11.8816 −1.30417 −0.652085 0.758146i \(-0.726106\pi\)
−0.652085 + 0.758146i \(0.726106\pi\)
\(84\) −6.01822 4.95876i −0.656642 0.541045i
\(85\) −0.813381 1.40882i −0.0882236 0.152808i
\(86\) −3.87838 + 2.23919i −0.418217 + 0.241458i
\(87\) −7.40768 + 4.97833i −0.794187 + 0.533733i
\(88\) 6.09356 + 10.5544i 0.649576 + 1.12510i
\(89\) 1.01554 0.107647 0.0538234 0.998550i \(-0.482859\pi\)
0.0538234 + 0.998550i \(0.482859\pi\)
\(90\) −3.81299 1.55558i −0.401924 0.163972i
\(91\) 6.72915 + 6.76155i 0.705406 + 0.708803i
\(92\) 1.75834i 0.183320i
\(93\) −15.3671 + 10.3274i −1.59349 + 1.07090i
\(94\) 1.98338 1.14510i 0.204570 0.118109i
\(95\) 5.76904i 0.591891i
\(96\) 8.24314 + 4.03773i 0.841312 + 0.412099i
\(97\) −8.58147 + 4.95452i −0.871317 + 0.503055i −0.867786 0.496939i \(-0.834457\pi\)
−0.00353111 + 0.999994i \(0.501124\pi\)
\(98\) −1.72274 + 3.41336i −0.174023 + 0.344801i
\(99\) 16.7432 + 6.83067i 1.68275 + 0.686508i
\(100\) −1.11958 + 1.93917i −0.111958 + 0.193917i
\(101\) 2.65864 + 4.60490i 0.264545 + 0.458205i 0.967444 0.253084i \(-0.0814450\pi\)
−0.702900 + 0.711289i \(0.748112\pi\)
\(102\) −0.549955 0.269384i −0.0544537 0.0266730i
\(103\) 2.41439 1.39395i 0.237897 0.137350i −0.376313 0.926493i \(-0.622808\pi\)
0.614210 + 0.789143i \(0.289475\pi\)
\(104\) −6.19922 3.83581i −0.607883 0.376132i
\(105\) 1.89824 11.3591i 0.185249 1.10854i
\(106\) 0.0128197 0.0222043i 0.00124515 0.00215667i
\(107\) 19.2241i 1.85846i −0.369502 0.929230i \(-0.620472\pi\)
0.369502 0.929230i \(-0.379528\pi\)
\(108\) 8.65807 1.79445i 0.833123 0.172671i
\(109\) −3.02537 + 5.24009i −0.289778 + 0.501910i −0.973757 0.227592i \(-0.926915\pi\)
0.683979 + 0.729502i \(0.260248\pi\)
\(110\) −4.13706 + 7.16560i −0.394453 + 0.683213i
\(111\) 3.01362 6.15239i 0.286040 0.583959i
\(112\) −1.40858 + 5.91710i −0.133098 + 0.559113i
\(113\) −7.42599 + 4.28740i −0.698578 + 0.403324i −0.806818 0.590800i \(-0.798812\pi\)
0.108239 + 0.994125i \(0.465479\pi\)
\(114\) 1.21137 + 1.80250i 0.113455 + 0.168819i
\(115\) 2.24894 1.29843i 0.209715 0.121079i
\(116\) 7.59374 + 4.38425i 0.705061 + 0.407067i
\(117\) −10.7562 + 1.14166i −0.994414 + 0.105547i
\(118\) 0.907960i 0.0835845i
\(119\) 0.396606 1.66605i 0.0363568 0.152726i
\(120\) 0.599072 + 8.78058i 0.0546875 + 0.801554i
\(121\) 12.6662 21.9385i 1.15147 1.99441i
\(122\) −0.981198 + 1.69949i −0.0888335 + 0.153864i
\(123\) 8.66975 + 12.9005i 0.781725 + 1.16320i
\(124\) 15.7530 + 9.09500i 1.41466 + 0.816755i
\(125\) 9.25873 0.828126
\(126\) −1.79207 3.94767i −0.159650 0.351687i
\(127\) 1.59609 2.76452i 0.141630 0.245311i −0.786480 0.617615i \(-0.788099\pi\)
0.928111 + 0.372304i \(0.121432\pi\)
\(128\) 11.5293i 1.01905i
\(129\) 14.1682 0.966650i 1.24744 0.0851088i
\(130\) 0.150926 4.94703i 0.0132371 0.433883i
\(131\) −1.65182 2.86103i −0.144320 0.249969i 0.784799 0.619750i \(-0.212766\pi\)
−0.929119 + 0.369781i \(0.879433\pi\)
\(132\) −1.20928 17.7244i −0.105254 1.54271i
\(133\) −4.17224 + 4.41354i −0.361779 + 0.382702i
\(134\) −0.720192 + 0.415803i −0.0622151 + 0.0359199i
\(135\) 8.68858 + 9.74870i 0.747794 + 0.839035i
\(136\) 1.30877i 0.112226i
\(137\) 8.25108i 0.704937i −0.935824 0.352468i \(-0.885342\pi\)
0.935824 0.352468i \(-0.114658\pi\)
\(138\) 0.430027 0.877912i 0.0366063 0.0747329i
\(139\) −7.50372 + 4.33228i −0.636457 + 0.367459i −0.783249 0.621709i \(-0.786439\pi\)
0.146791 + 0.989168i \(0.453105\pi\)
\(140\) −10.8424 + 3.23430i −0.916354 + 0.273348i
\(141\) −7.24551 + 0.494339i −0.610182 + 0.0416308i
\(142\) −3.61802 6.26660i −0.303618 0.525881i
\(143\) −0.662729 + 21.7228i −0.0554202 + 1.81655i
\(144\) −4.22771 5.44912i −0.352309 0.454094i
\(145\) 12.9500i 1.07544i
\(146\) 1.50371 2.60451i 0.124448 0.215551i
\(147\) 9.66728 7.31735i 0.797344 0.603525i
\(148\) −6.73060 −0.553252
\(149\) 11.9614 + 6.90590i 0.979914 + 0.565753i 0.902244 0.431226i \(-0.141919\pi\)
0.0776696 + 0.996979i \(0.475252\pi\)
\(150\) −1.03324 + 0.694390i −0.0843638 + 0.0566967i
\(151\) −3.90858 + 6.76986i −0.318076 + 0.550924i −0.980087 0.198571i \(-0.936370\pi\)
0.662011 + 0.749494i \(0.269703\pi\)
\(152\) 2.32066 4.01950i 0.188230 0.326024i
\(153\) 1.19037 + 1.53428i 0.0962360 + 0.124039i
\(154\) −8.34725 + 2.48999i −0.672641 + 0.200649i
\(155\) 26.8644i 2.15780i
\(156\) 5.65582 + 8.99675i 0.452828 + 0.720316i
\(157\) −7.63926 4.41053i −0.609679 0.351999i 0.163161 0.986600i \(-0.447831\pi\)
−0.772840 + 0.634601i \(0.781164\pi\)
\(158\) −2.03210 + 1.17323i −0.161665 + 0.0933375i
\(159\) −0.0674804 + 0.0453502i −0.00535154 + 0.00359650i
\(160\) 11.5340 6.65914i 0.911840 0.526451i
\(161\) 2.65957 + 0.633115i 0.209603 + 0.0498964i
\(162\) 4.76169 + 1.22151i 0.374114 + 0.0959709i
\(163\) −6.28824 + 10.8915i −0.492533 + 0.853092i −0.999963 0.00860097i \(-0.997262\pi\)
0.507430 + 0.861693i \(0.330596\pi\)
\(164\) 7.63515 13.2245i 0.596205 1.03266i
\(165\) 21.7767 14.6351i 1.69532 1.13934i
\(166\) 6.48981i 0.503707i
\(167\) −6.71323 + 11.6277i −0.519486 + 0.899775i 0.480258 + 0.877127i \(0.340543\pi\)
−0.999743 + 0.0226481i \(0.992790\pi\)
\(168\) −5.89191 + 7.15074i −0.454570 + 0.551691i
\(169\) −5.80160 11.6336i −0.446277 0.894895i
\(170\) −0.769508 + 0.444276i −0.0590186 + 0.0340744i
\(171\) −0.935356 6.82284i −0.0715284 0.521755i
\(172\) −6.97596 12.0827i −0.531912 0.921298i
\(173\) 4.22363 7.31554i 0.321116 0.556190i −0.659602 0.751615i \(-0.729275\pi\)
0.980719 + 0.195425i \(0.0626086\pi\)
\(174\) 2.71921 + 4.04614i 0.206142 + 0.306737i
\(175\) −2.52996 2.39164i −0.191247 0.180791i
\(176\) −12.0007 + 6.92861i −0.904587 + 0.522263i
\(177\) 1.26653 2.58565i 0.0951980 0.194350i
\(178\) 0.554695i 0.0415761i
\(179\) −11.1878 + 6.45927i −0.836214 + 0.482788i −0.855975 0.517016i \(-0.827043\pi\)
0.0197616 + 0.999805i \(0.493709\pi\)
\(180\) 4.84624 11.8790i 0.361217 0.885407i
\(181\) 1.36110i 0.101170i 0.998720 + 0.0505848i \(0.0161085\pi\)
−0.998720 + 0.0505848i \(0.983891\pi\)
\(182\) 3.69321 3.67552i 0.273759 0.272447i
\(183\) 5.16485 3.47104i 0.381797 0.256587i
\(184\) −2.08923 −0.154020
\(185\) −4.97014 8.60854i −0.365412 0.632912i
\(186\) 5.64092 + 8.39361i 0.413613 + 0.615449i
\(187\) 3.37897 1.95085i 0.247095 0.142660i
\(188\) 3.56746 + 6.17902i 0.260184 + 0.450651i
\(189\) −0.403277 + 13.7418i −0.0293341 + 0.999570i
\(190\) 3.15110 0.228605
\(191\) 8.92889 + 5.15510i 0.646072 + 0.373010i 0.786950 0.617017i \(-0.211659\pi\)
−0.140878 + 0.990027i \(0.544992\pi\)
\(192\) −1.29776 + 2.64942i −0.0936578 + 0.191205i
\(193\) −1.61981 2.80559i −0.116597 0.201951i 0.801820 0.597565i \(-0.203865\pi\)
−0.918417 + 0.395614i \(0.870532\pi\)
\(194\) 2.70620 + 4.68727i 0.194294 + 0.336527i
\(195\) −7.33049 + 13.8774i −0.524947 + 0.993783i
\(196\) −10.6340 5.36702i −0.759569 0.383358i
\(197\) −11.8813 6.85965i −0.846505 0.488730i 0.0129653 0.999916i \(-0.495873\pi\)
−0.859470 + 0.511186i \(0.829206\pi\)
\(198\) 3.73097 9.14525i 0.265148 0.649925i
\(199\) 3.33020i 0.236071i 0.993009 + 0.118036i \(0.0376597\pi\)
−0.993009 + 0.118036i \(0.962340\pi\)
\(200\) 2.30409 + 1.33027i 0.162924 + 0.0940640i
\(201\) 2.63094 0.179501i 0.185572 0.0126610i
\(202\) 2.51524 1.45217i 0.176971 0.102174i
\(203\) −9.36559 + 9.90724i −0.657335 + 0.695352i
\(204\) 0.839238 1.71333i 0.0587584 0.119957i
\(205\) 22.5524 1.57513
\(206\) −0.761386 1.31876i −0.0530482 0.0918823i
\(207\) −2.44923 + 1.90023i −0.170233 + 0.132075i
\(208\) 4.36146 7.04874i 0.302413 0.488742i
\(209\) −13.8367 −0.957107
\(210\) −6.20446 1.03683i −0.428148 0.0715482i
\(211\) −4.67281 + 8.09355i −0.321690 + 0.557183i −0.980837 0.194831i \(-0.937584\pi\)
0.659147 + 0.752014i \(0.270917\pi\)
\(212\) 0.0691752 + 0.0399383i 0.00475097 + 0.00274298i
\(213\) 1.56189 + 22.8926i 0.107019 + 1.56858i
\(214\) −10.5003 −0.717788
\(215\) 10.3026 17.8447i 0.702634 1.21700i
\(216\) −2.13213 10.2873i −0.145073 0.699965i
\(217\) −19.4287 + 20.5523i −1.31890 + 1.39518i
\(218\) 2.86218 + 1.65248i 0.193851 + 0.111920i
\(219\) −7.91529 + 5.31947i −0.534866 + 0.359456i
\(220\) −22.3237 12.8886i −1.50506 0.868949i
\(221\) −1.22803 + 1.98468i −0.0826065 + 0.133504i
\(222\) −3.36049 1.64606i −0.225541 0.110476i
\(223\) −4.72711 2.72920i −0.316550 0.182760i 0.333304 0.942820i \(-0.391837\pi\)
−0.649854 + 0.760059i \(0.725170\pi\)
\(224\) 13.6399 + 3.24700i 0.911353 + 0.216949i
\(225\) 3.91104 0.536172i 0.260736 0.0357448i
\(226\) 2.34181 + 4.05614i 0.155775 + 0.269810i
\(227\) −22.7846 −1.51226 −0.756132 0.654419i \(-0.772913\pi\)
−0.756132 + 0.654419i \(0.772913\pi\)
\(228\) −5.61550 + 3.77390i −0.371896 + 0.249932i
\(229\) −15.1066 + 8.72181i −0.998273 + 0.576353i −0.907737 0.419540i \(-0.862191\pi\)
−0.0905364 + 0.995893i \(0.528858\pi\)
\(230\) −0.709212 1.22839i −0.0467641 0.0809977i
\(231\) 27.2443 + 4.55282i 1.79254 + 0.299553i
\(232\) 5.20928 9.02273i 0.342006 0.592371i
\(233\) −1.62211 + 0.936526i −0.106268 + 0.0613538i −0.552192 0.833717i \(-0.686208\pi\)
0.445924 + 0.895071i \(0.352875\pi\)
\(234\) 0.623585 + 5.87514i 0.0407650 + 0.384070i
\(235\) −5.26870 + 9.12566i −0.343692 + 0.595292i
\(236\) −2.82866 −0.184130
\(237\) 7.42350 0.506482i 0.482208 0.0328995i
\(238\) −0.910008 0.216629i −0.0589871 0.0140420i
\(239\) 23.7791i 1.53814i −0.639164 0.769071i \(-0.720719\pi\)
0.639164 0.769071i \(-0.279281\pi\)
\(240\) −9.98385 + 0.681167i −0.644455 + 0.0439691i
\(241\) 20.8892i 1.34559i −0.739829 0.672795i \(-0.765094\pi\)
0.739829 0.672795i \(-0.234906\pi\)
\(242\) −11.9830 6.91837i −0.770295 0.444730i
\(243\) −11.8563 10.1207i −0.760580 0.649245i
\(244\) −5.29457 3.05682i −0.338950 0.195693i
\(245\) −0.988050 17.5642i −0.0631242 1.12214i
\(246\) 7.04634 4.73549i 0.449258 0.301924i
\(247\) 7.29072 3.91786i 0.463897 0.249288i
\(248\) 10.8065 18.7174i 0.686214 1.18856i
\(249\) 9.05273 18.4814i 0.573693 1.17121i
\(250\) 5.05719i 0.319845i
\(251\) 10.1622 + 17.6015i 0.641433 + 1.11100i 0.985113 + 0.171908i \(0.0549932\pi\)
−0.343680 + 0.939087i \(0.611673\pi\)
\(252\) 12.2986 5.58302i 0.774737 0.351697i
\(253\) 3.11421 + 5.39397i 0.195789 + 0.339116i
\(254\) −1.51000 0.871799i −0.0947459 0.0547016i
\(255\) 2.81110 0.191793i 0.176038 0.0120105i
\(256\) −2.89080 −0.180675
\(257\) 23.8924 1.49037 0.745183 0.666860i \(-0.232362\pi\)
0.745183 + 0.666860i \(0.232362\pi\)
\(258\) −0.527992 7.73878i −0.0328714 0.481795i
\(259\) 2.42345 10.1803i 0.150586 0.632575i
\(260\) 15.4120 + 0.470195i 0.955810 + 0.0291603i
\(261\) −2.09963 15.3155i −0.129964 0.948005i
\(262\) −1.56272 + 0.902235i −0.0965450 + 0.0557403i
\(263\) 1.39927 0.807870i 0.0862828 0.0498154i −0.456238 0.889858i \(-0.650803\pi\)
0.542521 + 0.840042i \(0.317470\pi\)
\(264\) −21.0598 + 1.43684i −1.29614 + 0.0884315i
\(265\) 0.117968i 0.00724672i
\(266\) 2.41071 + 2.27891i 0.147810 + 0.139729i
\(267\) −0.773752 + 1.57964i −0.0473528 + 0.0966723i
\(268\) −1.29539 2.24369i −0.0791287 0.137055i
\(269\) 16.4525 1.00312 0.501562 0.865122i \(-0.332759\pi\)
0.501562 + 0.865122i \(0.332759\pi\)
\(270\) 5.32482 4.74577i 0.324058 0.288819i
\(271\) 0.614250i 0.0373130i 0.999826 + 0.0186565i \(0.00593889\pi\)
−0.999826 + 0.0186565i \(0.994061\pi\)
\(272\) −1.48812 −0.0902302
\(273\) −15.6444 + 5.31527i −0.946843 + 0.321695i
\(274\) −4.50681 −0.272266
\(275\) 7.93160i 0.478293i
\(276\) 2.73505 + 1.33970i 0.164630 + 0.0806407i
\(277\) −9.66735 −0.580854 −0.290427 0.956897i \(-0.593797\pi\)
−0.290427 + 0.956897i \(0.593797\pi\)
\(278\) 2.36633 + 4.09860i 0.141923 + 0.245817i
\(279\) −4.35563 31.7716i −0.260765 1.90212i
\(280\) 3.84293 + 12.8828i 0.229659 + 0.769893i
\(281\) 4.25154i 0.253625i −0.991927 0.126813i \(-0.959525\pi\)
0.991927 0.126813i \(-0.0404747\pi\)
\(282\) 0.270012 + 3.95756i 0.0160790 + 0.235669i
\(283\) 11.6624 6.73330i 0.693259 0.400253i −0.111573 0.993756i \(-0.535589\pi\)
0.804832 + 0.593503i \(0.202256\pi\)
\(284\) 19.5230 11.2716i 1.15847 0.668845i
\(285\) −8.97357 4.39551i −0.531549 0.260368i
\(286\) 11.8652 + 0.361988i 0.701603 + 0.0214048i
\(287\) 17.2534 + 16.3101i 1.01844 + 0.962757i
\(288\) −12.5611 + 9.74556i −0.740172 + 0.574263i
\(289\) −16.5810 −0.975353
\(290\) 7.07339 0.415364
\(291\) −1.16826 17.1231i −0.0684845 1.00378i
\(292\) 8.11409 + 4.68467i 0.474841 + 0.274150i
\(293\) 6.93842 + 12.0177i 0.405347 + 0.702081i 0.994362 0.106041i \(-0.0338174\pi\)
−0.589015 + 0.808122i \(0.700484\pi\)
\(294\) −3.99680 5.28035i −0.233098 0.307956i
\(295\) −2.08879 3.61789i −0.121614 0.210642i
\(296\) 7.99717i 0.464826i
\(297\) −23.3817 + 20.8391i −1.35675 + 1.20921i
\(298\) 3.77206 6.53340i 0.218510 0.378470i
\(299\) −3.16821 1.96035i −0.183222 0.113370i
\(300\) −2.16330 3.21896i −0.124898 0.185847i
\(301\) 20.7874 6.20089i 1.19817 0.357413i
\(302\) 3.69776 + 2.13490i 0.212782 + 0.122850i
\(303\) −9.18844 + 0.626899i −0.527862 + 0.0360144i
\(304\) 4.57032 + 2.63868i 0.262126 + 0.151338i
\(305\) 9.02912i 0.517006i
\(306\) 0.838037 0.650192i 0.0479074 0.0371690i
\(307\) 19.0928i 1.08969i 0.838538 + 0.544843i \(0.183411\pi\)
−0.838538 + 0.544843i \(0.816589\pi\)
\(308\) −7.75730 26.0050i −0.442013 1.48177i
\(309\) 0.328688 + 4.81758i 0.0186984 + 0.274062i
\(310\) 14.6736 0.833403
\(311\) −1.31104 + 2.27079i −0.0743423 + 0.128765i −0.900800 0.434234i \(-0.857019\pi\)
0.826458 + 0.562999i \(0.190352\pi\)
\(312\) 10.6898 6.72014i 0.605188 0.380453i
\(313\) 3.15245 1.82007i 0.178187 0.102876i −0.408253 0.912869i \(-0.633862\pi\)
0.586441 + 0.809992i \(0.300529\pi\)
\(314\) −2.40907 + 4.17263i −0.135952 + 0.235475i
\(315\) 16.2225 + 11.6073i 0.914035 + 0.653999i
\(316\) −3.65509 6.33081i −0.205615 0.356136i
\(317\) −14.6674 + 8.46825i −0.823805 + 0.475624i −0.851727 0.523986i \(-0.824444\pi\)
0.0279217 + 0.999610i \(0.491111\pi\)
\(318\) 0.0247706 + 0.0368583i 0.00138907 + 0.00206691i
\(319\) −31.0599 −1.73902
\(320\) 2.14030 + 3.70711i 0.119647 + 0.207234i
\(321\) 29.9024 + 14.6471i 1.66899 + 0.817520i
\(322\) 0.345813 1.45268i 0.0192714 0.0809545i
\(323\) −1.28684 0.742958i −0.0716018 0.0413393i
\(324\) −3.80549 + 14.8346i −0.211416 + 0.824143i
\(325\) 2.24583 + 4.17924i 0.124576 + 0.231823i
\(326\) 5.94905 + 3.43469i 0.329488 + 0.190230i
\(327\) −5.84574 8.69837i −0.323270 0.481021i
\(328\) −15.7131 9.07194i −0.867608 0.500914i
\(329\) −10.6305 + 3.17109i −0.586081 + 0.174828i
\(330\) −7.99379 11.8946i −0.440044 0.654778i
\(331\) 5.21392 9.03077i 0.286583 0.496376i −0.686409 0.727216i \(-0.740814\pi\)
0.972992 + 0.230840i \(0.0741473\pi\)
\(332\) −20.2183 −1.10963
\(333\) 7.27374 + 9.37518i 0.398599 + 0.513757i
\(334\) 6.35112 + 3.66682i 0.347518 + 0.200640i
\(335\) 1.91314 3.31365i 0.104526 0.181044i
\(336\) −8.13065 6.69932i −0.443564 0.365478i
\(337\) 18.5940 1.01288 0.506440 0.862275i \(-0.330961\pi\)
0.506440 + 0.862275i \(0.330961\pi\)
\(338\) −6.35439 + 3.16888i −0.345633 + 0.172365i
\(339\) −1.01095 14.8175i −0.0549075 0.804778i
\(340\) −1.38410 2.39732i −0.0750631 0.130013i
\(341\) −64.4329 −3.48924
\(342\) −3.72669 + 0.510899i −0.201516 + 0.0276263i
\(343\) 11.9467 14.1519i 0.645064 0.764129i
\(344\) −14.3564 + 8.28870i −0.774048 + 0.446897i
\(345\) 0.306165 + 4.48745i 0.0164834 + 0.241596i
\(346\) −3.99581 2.30698i −0.214816 0.124024i
\(347\) 7.56632i 0.406181i 0.979160 + 0.203091i \(0.0650986\pi\)
−0.979160 + 0.203091i \(0.934901\pi\)
\(348\) −12.6053 + 8.47141i −0.675717 + 0.454115i
\(349\) 23.2338 + 13.4141i 1.24368 + 0.718038i 0.969841 0.243738i \(-0.0783738\pi\)
0.273837 + 0.961776i \(0.411707\pi\)
\(350\) −1.30633 + 1.38189i −0.0698265 + 0.0738649i
\(351\) 6.41950 17.6009i 0.342648 0.939464i
\(352\) 15.9716 + 27.6636i 0.851288 + 1.47447i
\(353\) 6.42503 + 11.1285i 0.341970 + 0.592309i 0.984798 0.173701i \(-0.0555725\pi\)
−0.642828 + 0.766010i \(0.722239\pi\)
\(354\) −1.41230 0.691787i −0.0750632 0.0367681i
\(355\) 28.8330 + 16.6468i 1.53030 + 0.883518i
\(356\) 1.72810 0.0915889
\(357\) 2.28931 + 1.88629i 0.121163 + 0.0998331i
\(358\) 3.52811 + 6.11086i 0.186466 + 0.322969i
\(359\) −14.4330 + 8.33290i −0.761745 + 0.439794i −0.829922 0.557880i \(-0.811615\pi\)
0.0681770 + 0.997673i \(0.478282\pi\)
\(360\) −14.1144 5.75821i −0.743893 0.303484i
\(361\) −6.86522 11.8909i −0.361328 0.625838i
\(362\) 0.743444 0.0390745
\(363\) 24.4741 + 36.4171i 1.28456 + 1.91140i
\(364\) 11.4507 + 11.5058i 0.600180 + 0.603070i
\(365\) 13.8374i 0.724282i
\(366\) −1.89591 2.82109i −0.0991008 0.147461i
\(367\) −23.5317 + 13.5860i −1.22834 + 0.709184i −0.966683 0.255976i \(-0.917603\pi\)
−0.261660 + 0.965160i \(0.584270\pi\)
\(368\) 2.37553i 0.123833i
\(369\) −26.6719 + 3.65650i −1.38848 + 0.190350i
\(370\) −4.70205 + 2.71473i −0.244448 + 0.141132i
\(371\) −0.0853159 + 0.0902501i −0.00442938 + 0.00468555i
\(372\) −26.1494 + 17.5737i −1.35579 + 0.911155i
\(373\) 8.54397 14.7986i 0.442390 0.766242i −0.555477 0.831532i \(-0.687464\pi\)
0.997866 + 0.0652907i \(0.0207975\pi\)
\(374\) −1.06557 1.84562i −0.0550994 0.0954349i
\(375\) −7.05435 + 14.4017i −0.364285 + 0.743699i
\(376\) 7.34179 4.23879i 0.378624 0.218599i
\(377\) 16.3658 8.79458i 0.842880 0.452944i
\(378\) 7.50589 + 0.220273i 0.386061 + 0.0113296i
\(379\) −11.4321 + 19.8010i −0.587229 + 1.01711i 0.407365 + 0.913266i \(0.366448\pi\)
−0.994594 + 0.103845i \(0.966886\pi\)
\(380\) 9.81693i 0.503598i
\(381\) 3.08403 + 4.58900i 0.158000 + 0.235101i
\(382\) 2.81576 4.87703i 0.144067 0.249531i
\(383\) 4.26054 7.37947i 0.217703 0.377073i −0.736402 0.676544i \(-0.763477\pi\)
0.954105 + 0.299471i \(0.0968101\pi\)
\(384\) 17.9334 + 8.78430i 0.915161 + 0.448272i
\(385\) 27.5325 29.1248i 1.40319 1.48434i
\(386\) −1.53244 + 0.884754i −0.0779991 + 0.0450328i
\(387\) −9.29134 + 22.7747i −0.472305 + 1.15770i
\(388\) −14.6027 + 8.43089i −0.741341 + 0.428013i
\(389\) −11.0480 6.37855i −0.560155 0.323406i 0.193053 0.981188i \(-0.438161\pi\)
−0.753208 + 0.657783i \(0.771494\pi\)
\(390\) 7.57997 + 4.00397i 0.383826 + 0.202749i
\(391\) 0.668865i 0.0338260i
\(392\) −6.37698 + 12.6351i −0.322086 + 0.638168i
\(393\) 5.70879 0.389493i 0.287970 0.0196473i
\(394\) −3.74680 + 6.48964i −0.188761 + 0.326943i
\(395\) 5.39813 9.34983i 0.271609 0.470441i
\(396\) 28.4911 + 11.6234i 1.43173 + 0.584100i
\(397\) −3.37143 1.94650i −0.169207 0.0976918i 0.413005 0.910729i \(-0.364479\pi\)
−0.582212 + 0.813037i \(0.697813\pi\)
\(398\) 1.81898 0.0911773
\(399\) −3.68624 9.85253i −0.184543 0.493243i
\(400\) −1.51256 + 2.61983i −0.0756281 + 0.130992i
\(401\) 22.0587i 1.10156i 0.834651 + 0.550779i \(0.185669\pi\)
−0.834651 + 0.550779i \(0.814331\pi\)
\(402\) −0.0980450 1.43704i −0.00489004 0.0716732i
\(403\) 33.9504 18.2441i 1.69119 0.908804i
\(404\) 4.52409 + 7.83596i 0.225082 + 0.389854i
\(405\) −21.7838 + 6.08716i −1.08244 + 0.302473i
\(406\) 5.41142 + 5.11556i 0.268564 + 0.253881i
\(407\) 20.6471 11.9206i 1.02344 0.590883i
\(408\) −2.03575 0.997167i −0.100784 0.0493671i
\(409\) 8.58087i 0.424297i 0.977237 + 0.212148i \(0.0680460\pi\)
−0.977237 + 0.212148i \(0.931954\pi\)
\(410\) 12.3183i 0.608357i
\(411\) 12.8343 + 6.28661i 0.633069 + 0.310096i
\(412\) 4.10846 2.37202i 0.202409 0.116861i
\(413\) 1.01850 4.27847i 0.0501170 0.210530i
\(414\) 1.03792 + 1.33779i 0.0510111 + 0.0657486i
\(415\) −14.9300 25.8595i −0.732886 1.26940i
\(416\) −16.2485 10.0539i −0.796649 0.492933i
\(417\) −1.02154 14.9726i −0.0500248 0.733213i
\(418\) 7.55774i 0.369661i
\(419\) 12.5477 21.7332i 0.612994 1.06174i −0.377739 0.925912i \(-0.623298\pi\)
0.990733 0.135825i \(-0.0433684\pi\)
\(420\) 3.23015 19.3294i 0.157615 0.943176i
\(421\) −11.9143 −0.580668 −0.290334 0.956925i \(-0.593766\pi\)
−0.290334 + 0.956925i \(0.593766\pi\)
\(422\) 4.42076 + 2.55233i 0.215199 + 0.124245i
\(423\) 4.75153 11.6468i 0.231027 0.566288i
\(424\) 0.0474539 0.0821926i 0.00230457 0.00399163i
\(425\) 0.425884 0.737653i 0.0206584 0.0357814i
\(426\) 12.5041 0.853118i 0.605827 0.0413337i
\(427\) 6.52996 6.90762i 0.316007 0.334283i
\(428\) 32.7127i 1.58123i
\(429\) −33.2843 17.5818i −1.60698 0.848856i
\(430\) −9.74692 5.62739i −0.470038 0.271377i
\(431\) 25.0125 14.4410i 1.20481 0.695597i 0.243189 0.969979i \(-0.421806\pi\)
0.961621 + 0.274382i \(0.0884731\pi\)
\(432\) 11.6971 2.42431i 0.562777 0.116640i
\(433\) 6.48299 3.74296i 0.311553 0.179875i −0.336068 0.941838i \(-0.609097\pi\)
0.647621 + 0.761963i \(0.275764\pi\)
\(434\) 11.2258 + 10.6121i 0.538858 + 0.509397i
\(435\) −20.1433 9.86678i −0.965799 0.473076i
\(436\) −5.14814 + 8.91684i −0.246551 + 0.427039i
\(437\) 1.18601 2.05423i 0.0567345 0.0982671i
\(438\) 2.90554 + 4.32340i 0.138832 + 0.206580i
\(439\) 10.2207i 0.487810i 0.969799 + 0.243905i \(0.0784284\pi\)
−0.969799 + 0.243905i \(0.921572\pi\)
\(440\) −15.3140 + 26.5246i −0.730065 + 1.26451i
\(441\) 4.01628 + 20.6124i 0.191251 + 0.981541i
\(442\) 1.08405 + 0.670762i 0.0515629 + 0.0319049i
\(443\) 26.2992 15.1839i 1.24951 0.721407i 0.278501 0.960436i \(-0.410162\pi\)
0.971012 + 0.239029i \(0.0768291\pi\)
\(444\) 5.12814 10.4693i 0.243371 0.496849i
\(445\) 1.27609 + 2.21026i 0.0604926 + 0.104776i
\(446\) −1.49071 + 2.58198i −0.0705871 + 0.122260i
\(447\) −19.8555 + 13.3439i −0.939131 + 0.631143i
\(448\) −1.04361 + 4.38398i −0.0493061 + 0.207123i
\(449\) −19.0172 + 10.9796i −0.897478 + 0.518159i −0.876381 0.481618i \(-0.840049\pi\)
−0.0210967 + 0.999777i \(0.506716\pi\)
\(450\) −0.292861 2.13624i −0.0138056 0.100703i
\(451\) 54.0907i 2.54703i
\(452\) −12.6365 + 7.29568i −0.594370 + 0.343160i
\(453\) −7.55232 11.2377i −0.354839 0.527995i
\(454\) 12.4451i 0.584078i
\(455\) −6.26048 + 23.1420i −0.293496 + 1.08491i
\(456\) 4.48407 + 6.67223i 0.209986 + 0.312456i
\(457\) 36.0570 1.68668 0.843338 0.537383i \(-0.180587\pi\)
0.843338 + 0.537383i \(0.180587\pi\)
\(458\) 4.76392 + 8.25136i 0.222604 + 0.385561i
\(459\) −3.29349 + 0.682600i −0.153727 + 0.0318610i
\(460\) 3.82693 2.20948i 0.178431 0.103017i
\(461\) −4.57076 7.91680i −0.212882 0.368722i 0.739734 0.672900i \(-0.234952\pi\)
−0.952615 + 0.304178i \(0.901618\pi\)
\(462\) 2.48679 14.8811i 0.115696 0.692329i
\(463\) 22.1372 1.02880 0.514401 0.857550i \(-0.328014\pi\)
0.514401 + 0.857550i \(0.328014\pi\)
\(464\) 10.2592 + 5.92314i 0.476271 + 0.274975i
\(465\) −41.7868 20.4684i −1.93782 0.949199i
\(466\) 0.511538 + 0.886010i 0.0236965 + 0.0410436i
\(467\) 0.315959 + 0.547257i 0.0146208 + 0.0253240i 0.873243 0.487285i \(-0.162013\pi\)
−0.858622 + 0.512609i \(0.828679\pi\)
\(468\) −18.3034 + 1.94272i −0.846076 + 0.0898021i
\(469\) 3.86009 1.15147i 0.178243 0.0531698i
\(470\) 4.98451 + 2.87781i 0.229918 + 0.132743i
\(471\) 12.6809 8.52220i 0.584305 0.392682i
\(472\) 3.36096i 0.154701i
\(473\) 42.7996 + 24.7103i 1.96793 + 1.13618i
\(474\) −0.276645 4.05478i −0.0127067 0.186242i
\(475\) −2.61596 + 1.51033i −0.120029 + 0.0692986i
\(476\) 0.674886 2.83504i 0.0309334 0.129944i
\(477\) −0.0191266 0.139517i −0.000875747 0.00638803i
\(478\) −12.9883 −0.594072
\(479\) −11.1651 19.3385i −0.510146 0.883599i −0.999931 0.0117553i \(-0.996258\pi\)
0.489785 0.871843i \(-0.337075\pi\)
\(480\) 1.57020 + 23.0144i 0.0716696 + 1.05046i
\(481\) −7.50386 + 12.1273i −0.342147 + 0.552958i
\(482\) −11.4098 −0.519704
\(483\) −3.01115 + 3.65450i −0.137012 + 0.166285i
\(484\) 21.5535 37.3317i 0.979704 1.69690i
\(485\) −21.5664 12.4514i −0.979282 0.565389i
\(486\) −5.52802 + 6.47599i −0.250756 + 0.293757i
\(487\) −40.2883 −1.82563 −0.912817 0.408368i \(-0.866098\pi\)
−0.912817 + 0.408368i \(0.866098\pi\)
\(488\) −3.63206 + 6.29091i −0.164416 + 0.284776i
\(489\) −12.1504 18.0796i −0.549459 0.817587i
\(490\) −9.59372 + 0.539681i −0.433400 + 0.0243803i
\(491\) 6.70526 + 3.87128i 0.302604 + 0.174709i 0.643612 0.765352i \(-0.277435\pi\)
−0.341008 + 0.940060i \(0.610768\pi\)
\(492\) 14.7529 + 21.9522i 0.665114 + 0.989680i
\(493\) −2.88862 1.66775i −0.130097 0.0751116i
\(494\) −2.13997 3.98225i −0.0962817 0.179170i
\(495\) 6.17239 + 45.0237i 0.277428 + 2.02367i
\(496\) 21.2824 + 12.2874i 0.955608 + 0.551721i
\(497\) 10.0192 + 33.5878i 0.449425 + 1.50662i
\(498\) −10.0947 4.94467i −0.452354 0.221576i
\(499\) −7.94320 13.7580i −0.355587 0.615894i 0.631632 0.775269i \(-0.282386\pi\)
−0.987218 + 0.159375i \(0.949052\pi\)
\(500\) 15.7552 0.704593
\(501\) −12.9716 19.3015i −0.579527 0.862328i
\(502\) 9.61407 5.55069i 0.429097 0.247739i
\(503\) −14.9743 25.9362i −0.667671 1.15644i −0.978554 0.205992i \(-0.933958\pi\)
0.310883 0.950448i \(-0.399375\pi\)
\(504\) −6.63363 14.6129i −0.295485 0.650912i
\(505\) −6.68154 + 11.5728i −0.297325 + 0.514981i
\(506\) 2.94623 1.70101i 0.130976 0.0756190i
\(507\) 22.5161 0.160393i 0.999975 0.00712330i
\(508\) 2.71600 4.70426i 0.120503 0.208718i
\(509\) −6.60075 −0.292573 −0.146286 0.989242i \(-0.546732\pi\)
−0.146286 + 0.989242i \(0.546732\pi\)
\(510\) −0.104759 1.53545i −0.00463879 0.0679907i
\(511\) −10.0074 + 10.5861i −0.442699 + 0.468303i
\(512\) 21.4795i 0.949271i
\(513\) 11.3254 + 3.74350i 0.500028 + 0.165279i
\(514\) 13.0502i 0.575620i
\(515\) 6.06769 + 3.50318i 0.267375 + 0.154369i
\(516\) 24.1094 1.64491i 1.06136 0.0724130i
\(517\) −21.8874 12.6367i −0.962607 0.555762i
\(518\) −5.56058 1.32371i −0.244318 0.0581603i
\(519\) 8.16106 + 12.1435i 0.358231 + 0.533042i
\(520\) 0.558677 18.3122i 0.0244996 0.803043i
\(521\) −11.1062 + 19.2365i −0.486570 + 0.842764i −0.999881 0.0154387i \(-0.995086\pi\)
0.513311 + 0.858203i \(0.328419\pi\)
\(522\) −8.36545 + 1.14683i −0.366146 + 0.0501956i
\(523\) 26.3581i 1.15256i 0.817252 + 0.576280i \(0.195496\pi\)
−0.817252 + 0.576280i \(0.804504\pi\)
\(524\) −2.81082 4.86849i −0.122791 0.212681i
\(525\) 5.64774 2.11305i 0.246488 0.0922212i
\(526\) −0.441265 0.764294i −0.0192401 0.0333248i
\(527\) −5.99238 3.45970i −0.261032 0.150707i
\(528\) −1.63374 23.9457i −0.0710995 1.04210i
\(529\) 21.9323 0.953577
\(530\) 0.0644352 0.00279888
\(531\) 3.05692 + 3.94009i 0.132659 + 0.170985i
\(532\) −7.09972 + 7.51033i −0.307812 + 0.325614i
\(533\) −15.3157 28.5009i −0.663398 1.23451i
\(534\) 0.862811 + 0.422630i 0.0373375 + 0.0182890i
\(535\) 41.8401 24.1564i 1.80890 1.04437i
\(536\) −2.66590 + 1.53916i −0.115150 + 0.0664816i
\(537\) −1.52307 22.3237i −0.0657255 0.963337i
\(538\) 8.98647i 0.387434i
\(539\) 42.1268 2.36978i 1.81453 0.102074i
\(540\) 14.7850 + 16.5889i 0.636244 + 0.713874i
\(541\) 7.27566 + 12.6018i 0.312805 + 0.541794i 0.978968 0.204012i \(-0.0653981\pi\)
−0.666164 + 0.745806i \(0.732065\pi\)
\(542\) 0.335508 0.0144113
\(543\) −2.11715 1.03704i −0.0908556 0.0445037i
\(544\) 3.43035i 0.147075i
\(545\) −15.2064 −0.651369
\(546\) 2.90324 + 8.54511i 0.124247 + 0.365697i
\(547\) 13.3560 0.571060 0.285530 0.958370i \(-0.407830\pi\)
0.285530 + 0.958370i \(0.407830\pi\)
\(548\) 14.0405i 0.599780i
\(549\) 1.46392 + 10.6784i 0.0624787 + 0.455743i
\(550\) −4.33231 −0.184730
\(551\) 5.91439 + 10.2440i 0.251961 + 0.436410i
\(552\) 1.59181 3.24973i 0.0677520 0.138318i
\(553\) 10.8917 3.24899i 0.463161 0.138161i
\(554\) 5.28038i 0.224342i
\(555\) 17.1771 1.17194i 0.729129 0.0497462i
\(556\) −12.7688 + 7.37205i −0.541516 + 0.312644i
\(557\) 18.5391 10.7035i 0.785525 0.453523i −0.0528599 0.998602i \(-0.516834\pi\)
0.838385 + 0.545079i \(0.183500\pi\)
\(558\) −17.3539 + 2.37908i −0.734649 + 0.100714i
\(559\) −29.5482 0.901470i −1.24976 0.0381281i
\(560\) −14.6482 + 4.36956i −0.619000 + 0.184648i
\(561\) 0.460004 + 6.74227i 0.0194214 + 0.284659i
\(562\) −2.32223 −0.0979571
\(563\) −29.5628 −1.24593 −0.622963 0.782252i \(-0.714071\pi\)
−0.622963 + 0.782252i \(0.714071\pi\)
\(564\) −12.3294 + 0.841195i −0.519160 + 0.0354207i
\(565\) −18.6626 10.7748i −0.785140 0.453301i
\(566\) −3.67778 6.37011i −0.154589 0.267756i
\(567\) −21.0677 11.0974i −0.884761 0.466045i
\(568\) −13.3927 23.1968i −0.561944 0.973316i
\(569\) 27.5786i 1.15616i −0.815982 0.578078i \(-0.803803\pi\)
0.815982 0.578078i \(-0.196197\pi\)
\(570\) −2.40087 + 4.90144i −0.100561 + 0.205299i
\(571\) 17.4312 30.1918i 0.729475 1.26349i −0.227630 0.973748i \(-0.573098\pi\)
0.957105 0.289740i \(-0.0935689\pi\)
\(572\) −1.12774 + 36.9648i −0.0471531 + 1.54558i
\(573\) −14.8216 + 9.96088i −0.619183 + 0.416122i
\(574\) 8.90874 9.42397i 0.371843 0.393349i
\(575\) 1.17754 + 0.679853i 0.0491068 + 0.0283518i
\(576\) −3.13231 4.03725i −0.130513 0.168219i
\(577\) −9.56438 5.52200i −0.398170 0.229884i 0.287524 0.957773i \(-0.407168\pi\)
−0.685694 + 0.727890i \(0.740501\pi\)
\(578\) 9.05668i 0.376708i
\(579\) 5.59818 0.381946i 0.232652 0.0158731i
\(580\) 22.0364i 0.915014i
\(581\) 7.27989 30.5811i 0.302021 1.26872i
\(582\) −9.35280 + 0.638112i −0.387686 + 0.0264506i
\(583\) −0.282940 −0.0117182
\(584\) 5.56624 9.64100i 0.230332 0.398948i
\(585\) −16.0007 21.9758i −0.661549 0.908586i
\(586\) 6.56417 3.78982i 0.271163 0.156556i
\(587\) −12.6832 + 21.9680i −0.523493 + 0.906717i 0.476133 + 0.879373i \(0.342038\pi\)
−0.999626 + 0.0273434i \(0.991295\pi\)
\(588\) 16.4504 12.4516i 0.678403 0.513496i
\(589\) 12.2692 + 21.2510i 0.505546 + 0.875631i
\(590\) −1.97612 + 1.14092i −0.0813557 + 0.0469707i
\(591\) 19.7225 13.2545i 0.811274 0.545217i
\(592\) −9.09308 −0.373723
\(593\) −5.88143 10.1869i −0.241521 0.418327i 0.719627 0.694361i \(-0.244313\pi\)
−0.961148 + 0.276034i \(0.910980\pi\)
\(594\) 11.3825 + 12.7713i 0.467029 + 0.524013i
\(595\) 4.12442 1.23031i 0.169085 0.0504380i
\(596\) 20.3541 + 11.7515i 0.833738 + 0.481359i
\(597\) −5.18002 2.53732i −0.212004 0.103846i
\(598\) −1.07076 + 1.73050i −0.0437867 + 0.0707654i
\(599\) −39.8531 23.0092i −1.62835 0.940131i −0.984584 0.174911i \(-0.944036\pi\)
−0.643770 0.765219i \(-0.722631\pi\)
\(600\) −3.82470 + 2.57039i −0.156143 + 0.104936i
\(601\) 26.1034 + 15.0708i 1.06478 + 0.614751i 0.926751 0.375677i \(-0.122590\pi\)
0.138030 + 0.990428i \(0.455923\pi\)
\(602\) −3.38698 11.3543i −0.138043 0.462765i
\(603\) −1.72534 + 4.22912i −0.0702614 + 0.172223i
\(604\) −6.65106 + 11.5200i −0.270628 + 0.468741i
\(605\) 63.6638 2.58830
\(606\) 0.342417 + 5.01880i 0.0139097 + 0.203875i
\(607\) −31.3997 18.1286i −1.27447 0.735818i −0.298648 0.954363i \(-0.596536\pi\)
−0.975827 + 0.218545i \(0.929869\pi\)
\(608\) 6.08259 10.5353i 0.246681 0.427265i
\(609\) −8.27465 22.1164i −0.335306 0.896200i
\(610\) −4.93178 −0.199682
\(611\) 15.1108 + 0.461006i 0.611316 + 0.0186503i
\(612\) 2.02561 + 2.61082i 0.0818803 + 0.105536i
\(613\) −16.8491 29.1835i −0.680530 1.17871i −0.974819 0.222996i \(-0.928416\pi\)
0.294290 0.955716i \(-0.404917\pi\)
\(614\) 10.4287 0.420867
\(615\) −17.1830 + 35.0796i −0.692884 + 1.41454i
\(616\) −30.8987 + 9.21707i −1.24494 + 0.371367i
\(617\) −6.51889 + 3.76368i −0.262441 + 0.151520i −0.625447 0.780266i \(-0.715084\pi\)
0.363007 + 0.931786i \(0.381750\pi\)
\(618\) 2.63140 0.179532i 0.105850 0.00722184i
\(619\) −39.6473 22.8904i −1.59356 0.920043i −0.992689 0.120697i \(-0.961487\pi\)
−0.600871 0.799346i \(-0.705179\pi\)
\(620\) 45.7140i 1.83592i
\(621\) −1.08966 5.25751i −0.0437264 0.210977i
\(622\) 1.24032 + 0.716101i 0.0497325 + 0.0287130i
\(623\) −0.622225 + 2.61382i −0.0249289 + 0.104720i
\(624\) 7.64105 + 12.1547i 0.305887 + 0.486576i
\(625\) 14.9239 + 25.8490i 0.596957 + 1.03396i
\(626\) −0.994138 1.72190i −0.0397337 0.0688208i
\(627\) 10.5424 21.5226i 0.421023 0.859531i
\(628\) −12.9994 7.50521i −0.518732 0.299490i
\(629\) 2.56029 0.102086
\(630\) 6.34002 8.86087i 0.252593 0.353025i
\(631\) −14.0226 24.2878i −0.558230 0.966882i −0.997644 0.0685980i \(-0.978147\pi\)
0.439415 0.898284i \(-0.355186\pi\)
\(632\) −7.52214 + 4.34291i −0.299215 + 0.172752i
\(633\) −9.02900 13.4350i −0.358870 0.533994i
\(634\) 4.62543 + 8.01147i 0.183699 + 0.318176i
\(635\) 8.02241 0.318360
\(636\) −0.114828 + 0.0771704i −0.00455324 + 0.00306001i
\(637\) −21.5261 + 13.1768i −0.852893 + 0.522085i
\(638\) 16.9652i 0.671657i
\(639\) −36.7988 15.0127i −1.45574 0.593894i
\(640\) 25.0928 14.4873i 0.991879 0.572662i
\(641\) 0.923744i 0.0364857i −0.999834 0.0182428i \(-0.994193\pi\)
0.999834 0.0182428i \(-0.00580720\pi\)
\(642\) 8.00035 16.3330i 0.315749 0.644611i
\(643\) −6.72532 + 3.88286i −0.265221 + 0.153125i −0.626714 0.779250i \(-0.715600\pi\)
0.361493 + 0.932375i \(0.382267\pi\)
\(644\) 4.52567 + 1.07734i 0.178336 + 0.0424533i
\(645\) 19.9072 + 29.6216i 0.783844 + 1.16635i
\(646\) −0.405810 + 0.702883i −0.0159664 + 0.0276546i
\(647\) −12.1084 20.9724i −0.476030 0.824509i 0.523592 0.851969i \(-0.324591\pi\)
−0.999623 + 0.0274600i \(0.991258\pi\)
\(648\) 17.6262 + 4.52161i 0.692421 + 0.177626i
\(649\) 8.67733 5.00986i 0.340615 0.196654i
\(650\) 2.28274 1.22669i 0.0895363 0.0481147i
\(651\) −17.1655 45.8798i −0.672771 1.79817i
\(652\) −10.7004 + 18.5337i −0.419061 + 0.725835i
\(653\) 36.0856i 1.41214i 0.708142 + 0.706070i \(0.249534\pi\)
−0.708142 + 0.706070i \(0.750466\pi\)
\(654\) −4.75112 + 3.19299i −0.185784 + 0.124856i
\(655\) 4.15124 7.19017i 0.162203 0.280943i
\(656\) 10.3151 17.8663i 0.402738 0.697563i
\(657\) −2.24350 16.3650i −0.0875275 0.638458i
\(658\) 1.73208 + 5.80649i 0.0675234 + 0.226361i
\(659\) −10.7491 + 6.20598i −0.418724 + 0.241751i −0.694531 0.719462i \(-0.744388\pi\)
0.275807 + 0.961213i \(0.411055\pi\)
\(660\) 37.0565 24.9038i 1.44242 0.969381i
\(661\) 24.6560 14.2351i 0.959006 0.553682i 0.0631387 0.998005i \(-0.479889\pi\)
0.895867 + 0.444323i \(0.146556\pi\)
\(662\) −4.93268 2.84789i −0.191714 0.110686i
\(663\) −2.15145 3.42232i −0.0835554 0.132912i
\(664\) 24.0230i 0.932275i
\(665\) −14.8485 3.53472i −0.575801 0.137071i
\(666\) 5.12080 3.97298i 0.198427 0.153950i
\(667\) 2.66228 4.61121i 0.103084 0.178547i
\(668\) −11.4236 + 19.7863i −0.441993 + 0.765554i
\(669\) 7.84683 5.27346i 0.303376 0.203884i
\(670\) −1.80994 1.04497i −0.0699242 0.0403708i
\(671\) 21.6559 0.836015
\(672\) −15.4430 + 18.7425i −0.595728 + 0.723008i
\(673\) 5.65042 9.78682i 0.217808 0.377254i −0.736330 0.676623i \(-0.763443\pi\)
0.954137 + 0.299369i \(0.0967761\pi\)
\(674\) 10.1562i 0.391202i
\(675\) −2.14588 + 6.49202i −0.0825948 + 0.249878i
\(676\) −9.87233 19.7964i −0.379705 0.761402i
\(677\) 6.45592 + 11.1820i 0.248121 + 0.429758i 0.963004 0.269485i \(-0.0868536\pi\)
−0.714883 + 0.699244i \(0.753520\pi\)
\(678\) −8.09346 + 0.552191i −0.310827 + 0.0212068i
\(679\) −7.49416 25.1229i −0.287600 0.964128i
\(680\) −2.84845 + 1.64456i −0.109233 + 0.0630658i
\(681\) 17.3599 35.4407i 0.665232 1.35809i
\(682\) 35.1938i 1.34764i
\(683\) 8.80340i 0.336853i 0.985714 + 0.168426i \(0.0538685\pi\)
−0.985714 + 0.168426i \(0.946131\pi\)
\(684\) −1.59165 11.6101i −0.0608584 0.443924i
\(685\) 17.9580 10.3681i 0.686140 0.396143i
\(686\) −7.72986 6.52541i −0.295128 0.249141i
\(687\) −2.05657 30.1432i −0.0784632 1.15003i
\(688\) −9.42456 16.3238i −0.359308 0.622340i
\(689\) 0.149084 0.0801143i 0.00567965 0.00305211i
\(690\) 2.45108 0.167230i 0.0933112 0.00636633i
\(691\) 21.1867i 0.805981i 0.915204 + 0.402990i \(0.132029\pi\)
−0.915204 + 0.402990i \(0.867971\pi\)
\(692\) 7.18716 12.4485i 0.273215 0.473222i
\(693\) −27.8396 + 38.9088i −1.05754 + 1.47802i
\(694\) 4.13279 0.156878
\(695\) −18.8579 10.8876i −0.715321 0.412991i
\(696\) 10.0656 + 14.9774i 0.381534 + 0.567717i
\(697\) −2.90438 + 5.03053i −0.110011 + 0.190545i
\(698\) 7.32687 12.6905i 0.277326 0.480343i
\(699\) −0.220830 3.23670i −0.00835254 0.122423i
\(700\) −4.30512 4.06975i −0.162718 0.153822i
\(701\) 39.6954i 1.49927i 0.661849 + 0.749637i \(0.269772\pi\)
−0.661849 + 0.749637i \(0.730228\pi\)
\(702\) −9.61373 3.50639i −0.362847 0.132340i
\(703\) −7.86321 4.53982i −0.296566 0.171223i
\(704\) −8.89131 + 5.13340i −0.335104 + 0.193472i
\(705\) −10.1804 15.1483i −0.383416 0.570517i
\(706\) 6.07847 3.50941i 0.228766 0.132078i
\(707\) −13.4812 + 4.02144i −0.507012 + 0.151242i
\(708\) 2.15519 4.39989i 0.0809971 0.165358i
\(709\) 4.55698 7.89293i 0.171141 0.296425i −0.767678 0.640836i \(-0.778588\pi\)
0.938819 + 0.344411i \(0.111921\pi\)
\(710\) 9.09260 15.7488i 0.341239 0.591043i
\(711\) −4.86825 + 11.9329i −0.182574 + 0.447520i
\(712\) 2.05329i 0.0769503i
\(713\) 5.52284 9.56583i 0.206832 0.358243i
\(714\) 1.03031 1.25044i 0.0385583 0.0467965i
\(715\) −48.1113 + 25.8539i −1.79926 + 0.966880i
\(716\) −19.0378 + 10.9915i −0.711474 + 0.410770i
\(717\) 36.9877 + 18.1176i 1.38133 + 0.676615i
\(718\) 4.55150 + 7.88343i 0.169860 + 0.294207i
\(719\) −5.46228 + 9.46095i −0.203709 + 0.352834i −0.949721 0.313099i \(-0.898633\pi\)
0.746012 + 0.665933i \(0.231966\pi\)
\(720\) 6.54730 16.0486i 0.244003 0.598095i
\(721\) 2.10847 + 7.06830i 0.0785237 + 0.263237i
\(722\) −6.49492 + 3.74984i −0.241716 + 0.139555i
\(723\) 32.4925 + 15.9157i 1.20841 + 0.591913i
\(724\) 2.31612i 0.0860780i
\(725\) −5.87216 + 3.39029i −0.218086 + 0.125912i
\(726\) 19.8913 13.3679i 0.738236 0.496131i
\(727\) 45.7930i 1.69837i −0.528098 0.849183i \(-0.677095\pi\)
0.528098 0.849183i \(-0.322905\pi\)
\(728\) 13.6710 13.6055i 0.506681 0.504253i
\(729\) 24.7759 10.7309i 0.917627 0.397442i
\(730\) 7.55809 0.279738
\(731\) 2.65362 + 4.59621i 0.0981478 + 0.169997i
\(732\) 8.78881 5.90652i 0.324844 0.218311i
\(733\) 17.4750 10.0892i 0.645455 0.372654i −0.141258 0.989973i \(-0.545115\pi\)
0.786713 + 0.617319i \(0.211781\pi\)
\(734\) 7.42079 + 12.8532i 0.273906 + 0.474420i
\(735\) 28.0734 + 11.8455i 1.03550 + 0.436929i
\(736\) −5.47599 −0.201848
\(737\) 7.94762 + 4.58856i 0.292754 + 0.169022i
\(738\) 1.99721 + 14.5684i 0.0735183 + 0.536270i
\(739\) 24.2829 + 42.0593i 0.893262 + 1.54718i 0.835941 + 0.548820i \(0.184923\pi\)
0.0573213 + 0.998356i \(0.481744\pi\)
\(740\) −8.45747 14.6488i −0.310903 0.538500i
\(741\) 0.539216 + 14.3256i 0.0198086 + 0.526263i
\(742\) 0.0492954 + 0.0466003i 0.00180969 + 0.00171075i
\(743\) 6.39543 + 3.69241i 0.234626 + 0.135461i 0.612704 0.790312i \(-0.290082\pi\)
−0.378078 + 0.925774i \(0.623415\pi\)
\(744\) 20.8808 + 31.0703i 0.765526 + 1.13909i
\(745\) 34.7110i 1.27171i
\(746\) −8.08311 4.66678i −0.295944 0.170863i
\(747\) 21.8499 + 28.1625i 0.799446 + 1.03041i
\(748\) 5.74985 3.31968i 0.210235 0.121380i
\(749\) 49.4794 + 11.7787i 1.80794 + 0.430383i
\(750\) 7.86631 + 3.85315i 0.287237 + 0.140697i
\(751\) −23.1664 −0.845353 −0.422676 0.906281i \(-0.638909\pi\)
−0.422676 + 0.906281i \(0.638909\pi\)
\(752\) 4.81966 + 8.34789i 0.175755 + 0.304416i
\(753\) −35.1213 + 2.39622i −1.27989 + 0.0873230i
\(754\) −4.80367 8.93912i −0.174939 0.325543i
\(755\) −19.6456 −0.714978
\(756\) −0.686240 + 23.3838i −0.0249583 + 0.850462i
\(757\) −19.9604 + 34.5725i −0.725475 + 1.25656i 0.233304 + 0.972404i \(0.425046\pi\)
−0.958778 + 0.284155i \(0.908287\pi\)
\(758\) 10.8155 + 6.24432i 0.392836 + 0.226804i
\(759\) −10.7629 + 0.734320i −0.390669 + 0.0266541i
\(760\) 11.6643 0.423108
\(761\) 3.98842 6.90815i 0.144580 0.250420i −0.784636 0.619957i \(-0.787150\pi\)
0.929216 + 0.369536i \(0.120483\pi\)
\(762\) 2.50655 1.68453i 0.0908027 0.0610239i
\(763\) −11.6334 10.9974i −0.421159 0.398133i
\(764\) 15.1939 + 8.77221i 0.549696 + 0.317367i
\(765\) −1.84349 + 4.51871i −0.0666515 + 0.163374i
\(766\) −4.03073 2.32714i −0.145636 0.0840830i
\(767\) −3.15363 + 5.09672i −0.113871 + 0.184032i
\(768\) 2.20254 4.49655i 0.0794773 0.162255i
\(769\) 8.79268 + 5.07646i 0.317072 + 0.183062i 0.650087 0.759860i \(-0.274733\pi\)
−0.333015 + 0.942922i \(0.608066\pi\)
\(770\) −15.9082 15.0385i −0.573292 0.541949i
\(771\) −18.2039 + 37.1639i −0.655599 + 1.33842i
\(772\) −2.75636 4.77416i −0.0992036 0.171826i
\(773\) −17.3985 −0.625782 −0.312891 0.949789i \(-0.601298\pi\)