Properties

Label 91.2.bb.a.73.3
Level $91$
Weight $2$
Character 91.73
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 73.3
Character \(\chi\) \(=\) 91.73
Dual form 91.2.bb.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.211401 + 0.788958i) q^{2} +(-2.60482 - 1.50389i) q^{3} +(1.15429 + 0.666428i) q^{4} +(3.03793 + 0.814012i) q^{5} +(1.73717 - 1.73717i) q^{6} +(2.28951 - 1.32595i) q^{7} +(-1.92491 + 1.92491i) q^{8} +(3.02338 + 5.23665i) q^{9} +O(q^{10})\) \(q+(-0.211401 + 0.788958i) q^{2} +(-2.60482 - 1.50389i) q^{3} +(1.15429 + 0.666428i) q^{4} +(3.03793 + 0.814012i) q^{5} +(1.73717 - 1.73717i) q^{6} +(2.28951 - 1.32595i) q^{7} +(-1.92491 + 1.92491i) q^{8} +(3.02338 + 5.23665i) q^{9} +(-1.28444 + 2.22472i) q^{10} +(-0.131620 - 0.491212i) q^{11} +(-2.00447 - 3.47185i) q^{12} +(-1.73717 - 3.15947i) q^{13} +(0.562115 + 2.08663i) q^{14} +(-6.68907 - 6.68907i) q^{15} +(0.221107 + 0.382969i) q^{16} +(-0.606654 + 1.05076i) q^{17} +(-4.77064 + 1.27829i) q^{18} +(-1.72169 - 0.461325i) q^{19} +(2.96417 + 2.96417i) q^{20} +(-7.95784 + 0.0106837i) q^{21} +0.415370 q^{22} +(-4.51168 + 2.60482i) q^{23} +(7.90891 - 2.11919i) q^{24} +(4.23629 + 2.44583i) q^{25} +(2.85993 - 0.702638i) q^{26} -9.16401i q^{27} +(3.52640 - 0.00473432i) q^{28} +1.64443 q^{29} +(6.69147 - 3.86332i) q^{30} +(-0.976210 - 3.64327i) q^{31} +(-5.60785 + 1.50262i) q^{32} +(-0.395884 + 1.47746i) q^{33} +(-0.700755 - 0.700755i) q^{34} +(8.03472 - 2.16446i) q^{35} +8.05946i q^{36} +(-2.66889 - 0.715128i) q^{37} +(0.727931 - 1.26081i) q^{38} +(-0.226498 + 10.8424i) q^{39} +(-7.41466 + 4.28086i) q^{40} +(-5.55629 + 5.55629i) q^{41} +(1.67386 - 6.28066i) q^{42} -7.46499i q^{43} +(0.175430 - 0.654714i) q^{44} +(4.92214 + 18.3697i) q^{45} +(-1.10132 - 4.11018i) q^{46} +(-1.26875 + 4.73504i) q^{47} -1.33009i q^{48} +(3.48371 - 6.07155i) q^{49} +(-2.82521 + 2.82521i) q^{50} +(3.16045 - 1.82468i) q^{51} +(0.100369 - 4.80463i) q^{52} +(4.30982 - 7.46483i) q^{53} +(7.23002 + 1.93728i) q^{54} -1.59941i q^{55} +(-1.85477 + 6.95945i) q^{56} +(3.79090 + 3.79090i) q^{57} +(-0.347632 + 1.29738i) q^{58} +(-2.41901 + 0.648171i) q^{59} +(-3.26333 - 12.1789i) q^{60} +(-9.09759 + 5.25249i) q^{61} +3.08076 q^{62} +(13.8656 + 7.98051i) q^{63} -3.85758i q^{64} +(-2.70555 - 11.0123i) q^{65} +(-1.08196 - 0.624671i) q^{66} +(7.15134 - 1.91620i) q^{67} +(-1.40051 + 0.808582i) q^{68} +15.6695 q^{69} +(0.00912470 + 6.79662i) q^{70} +(0.840390 + 0.840390i) q^{71} +(-15.8999 - 4.26035i) q^{72} +(2.36118 - 0.632677i) q^{73} +(1.12841 - 1.95447i) q^{74} +(-7.35651 - 12.7419i) q^{75} +(-1.67988 - 1.67988i) q^{76} +(-0.952667 - 0.950113i) q^{77} +(-8.50628 - 2.47078i) q^{78} +(6.20571 + 10.7486i) q^{79} +(0.359968 + 1.34342i) q^{80} +(-4.71154 + 8.16062i) q^{81} +(-3.20908 - 5.55828i) q^{82} +(-7.31472 + 7.31472i) q^{83} +(-9.19275 - 5.29099i) q^{84} +(-2.69830 + 2.69830i) q^{85} +(5.88956 + 1.57810i) q^{86} +(-4.28343 - 2.47304i) q^{87} +(1.19890 + 0.692184i) q^{88} +(2.52599 - 9.42713i) q^{89} -15.5334 q^{90} +(-8.16656 - 4.93024i) q^{91} -6.94369 q^{92} +(-2.93623 + 10.9582i) q^{93} +(-3.46753 - 2.00198i) q^{94} +(-4.85484 - 2.80295i) q^{95} +(16.8672 + 4.51956i) q^{96} +(-2.93184 + 2.93184i) q^{97} +(4.05374 + 4.03203i) q^{98} +(2.17437 - 2.17437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 2 q^{2} - 12 q^{3} - 6 q^{5} - 6 q^{7} - 16 q^{8} + 8 q^{9} + O(q^{10}) \) \( 32 q - 2 q^{2} - 12 q^{3} - 6 q^{5} - 6 q^{7} - 16 q^{8} + 8 q^{9} - 10 q^{11} + 28 q^{14} - 44 q^{15} + 12 q^{16} - 4 q^{18} + 12 q^{19} - 26 q^{21} - 8 q^{22} - 12 q^{24} + 24 q^{26} - 6 q^{28} + 16 q^{29} + 24 q^{31} + 4 q^{32} + 48 q^{33} + 28 q^{35} - 8 q^{37} - 6 q^{39} - 132 q^{40} - 16 q^{42} - 42 q^{44} - 24 q^{45} + 12 q^{46} + 30 q^{47} + 88 q^{50} + 36 q^{52} - 12 q^{53} + 78 q^{54} + 40 q^{57} + 26 q^{58} - 54 q^{59} + 16 q^{60} - 48 q^{61} + 24 q^{63} - 8 q^{65} + 12 q^{66} + 16 q^{67} - 48 q^{68} + 50 q^{70} - 36 q^{71} + 22 q^{72} + 66 q^{73} + 12 q^{74} - 176 q^{78} - 32 q^{79} + 138 q^{80} + 16 q^{81} - 58 q^{84} - 84 q^{85} + 42 q^{86} - 24 q^{87} - 60 q^{89} + 48 q^{92} + 6 q^{93} - 72 q^{94} - 42 q^{96} - 86 q^{98} - 24 q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.211401 + 0.788958i −0.149483 + 0.557877i 0.850032 + 0.526731i \(0.176582\pi\)
−0.999515 + 0.0311464i \(0.990084\pi\)
\(3\) −2.60482 1.50389i −1.50389 0.868272i −0.999990 0.00451177i \(-0.998564\pi\)
−0.503902 0.863761i \(-0.668103\pi\)
\(4\) 1.15429 + 0.666428i 0.577143 + 0.333214i
\(5\) 3.03793 + 0.814012i 1.35860 + 0.364037i 0.863304 0.504684i \(-0.168391\pi\)
0.495301 + 0.868721i \(0.335058\pi\)
\(6\) 1.73717 1.73717i 0.709196 0.709196i
\(7\) 2.28951 1.32595i 0.865353 0.501162i
\(8\) −1.92491 + 1.92491i −0.680560 + 0.680560i
\(9\) 3.02338 + 5.23665i 1.00779 + 1.74555i
\(10\) −1.28444 + 2.22472i −0.406176 + 0.703518i
\(11\) −0.131620 0.491212i −0.0396849 0.148106i 0.943241 0.332110i \(-0.107761\pi\)
−0.982925 + 0.184004i \(0.941094\pi\)
\(12\) −2.00447 3.47185i −0.578641 1.00224i
\(13\) −1.73717 3.15947i −0.481804 0.876279i
\(14\) 0.562115 + 2.08663i 0.150232 + 0.557676i
\(15\) −6.68907 6.68907i −1.72711 1.72711i
\(16\) 0.221107 + 0.382969i 0.0552768 + 0.0957423i
\(17\) −0.606654 + 1.05076i −0.147135 + 0.254846i −0.930168 0.367135i \(-0.880339\pi\)
0.783032 + 0.621981i \(0.213672\pi\)
\(18\) −4.77064 + 1.27829i −1.12445 + 0.301296i
\(19\) −1.72169 0.461325i −0.394982 0.105835i 0.0558606 0.998439i \(-0.482210\pi\)
−0.450843 + 0.892603i \(0.648876\pi\)
\(20\) 2.96417 + 2.96417i 0.662808 + 0.662808i
\(21\) −7.95784 + 0.0106837i −1.73654 + 0.00233137i
\(22\) 0.415370 0.0885572
\(23\) −4.51168 + 2.60482i −0.940750 + 0.543142i −0.890195 0.455579i \(-0.849432\pi\)
−0.0505543 + 0.998721i \(0.516099\pi\)
\(24\) 7.90891 2.11919i 1.61440 0.432577i
\(25\) 4.23629 + 2.44583i 0.847259 + 0.489165i
\(26\) 2.85993 0.702638i 0.560878 0.137799i
\(27\) 9.16401i 1.76361i
\(28\) 3.52640 0.00473432i 0.666427 0.000894702i
\(29\) 1.64443 0.305362 0.152681 0.988276i \(-0.451209\pi\)
0.152681 + 0.988276i \(0.451209\pi\)
\(30\) 6.69147 3.86332i 1.22169 0.705343i
\(31\) −0.976210 3.64327i −0.175333 0.654350i −0.996495 0.0836552i \(-0.973341\pi\)
0.821162 0.570695i \(-0.193326\pi\)
\(32\) −5.60785 + 1.50262i −0.991338 + 0.265628i
\(33\) −0.395884 + 1.47746i −0.0689146 + 0.257193i
\(34\) −0.700755 0.700755i −0.120178 0.120178i
\(35\) 8.03472 2.16446i 1.35811 0.365861i
\(36\) 8.05946i 1.34324i
\(37\) −2.66889 0.715128i −0.438764 0.117566i 0.0326734 0.999466i \(-0.489598\pi\)
−0.471437 + 0.881900i \(0.656265\pi\)
\(38\) 0.727931 1.26081i 0.118086 0.204531i
\(39\) −0.226498 + 10.8424i −0.0362687 + 1.73617i
\(40\) −7.41466 + 4.28086i −1.17236 + 0.676863i
\(41\) −5.55629 + 5.55629i −0.867747 + 0.867747i −0.992223 0.124476i \(-0.960275\pi\)
0.124476 + 0.992223i \(0.460275\pi\)
\(42\) 1.67386 6.28066i 0.258283 0.969127i
\(43\) 7.46499i 1.13840i −0.822199 0.569200i \(-0.807253\pi\)
0.822199 0.569200i \(-0.192747\pi\)
\(44\) 0.175430 0.654714i 0.0264471 0.0987019i
\(45\) 4.92214 + 18.3697i 0.733749 + 2.73839i
\(46\) −1.10132 4.11018i −0.162381 0.606013i
\(47\) −1.26875 + 4.73504i −0.185066 + 0.690677i 0.809550 + 0.587051i \(0.199711\pi\)
−0.994616 + 0.103626i \(0.966956\pi\)
\(48\) 1.33009i 0.191981i
\(49\) 3.48371 6.07155i 0.497673 0.867365i
\(50\) −2.82521 + 2.82521i −0.399545 + 0.399545i
\(51\) 3.16045 1.82468i 0.442551 0.255507i
\(52\) 0.100369 4.80463i 0.0139187 0.666282i
\(53\) 4.30982 7.46483i 0.591999 1.02537i −0.401964 0.915656i \(-0.631672\pi\)
0.993963 0.109717i \(-0.0349945\pi\)
\(54\) 7.23002 + 1.93728i 0.983881 + 0.263630i
\(55\) 1.59941i 0.215664i
\(56\) −1.85477 + 6.95945i −0.247854 + 0.929996i
\(57\) 3.79090 + 3.79090i 0.502117 + 0.502117i
\(58\) −0.347632 + 1.29738i −0.0456464 + 0.170355i
\(59\) −2.41901 + 0.648171i −0.314928 + 0.0843847i −0.412821 0.910812i \(-0.635456\pi\)
0.0978928 + 0.995197i \(0.468790\pi\)
\(60\) −3.26333 12.1789i −0.421293 1.57229i
\(61\) −9.09759 + 5.25249i −1.16483 + 0.672513i −0.952456 0.304676i \(-0.901452\pi\)
−0.212371 + 0.977189i \(0.568118\pi\)
\(62\) 3.08076 0.391256
\(63\) 13.8656 + 7.98051i 1.74690 + 1.00545i
\(64\) 3.85758i 0.482198i
\(65\) −2.70555 11.0123i −0.335582 1.36591i
\(66\) −1.08196 0.624671i −0.133180 0.0768917i
\(67\) 7.15134 1.91620i 0.873675 0.234101i 0.205999 0.978552i \(-0.433956\pi\)
0.667676 + 0.744452i \(0.267289\pi\)
\(68\) −1.40051 + 0.808582i −0.169836 + 0.0980550i
\(69\) 15.6695 1.88638
\(70\) 0.00912470 + 6.79662i 0.00109061 + 0.812351i
\(71\) 0.840390 + 0.840390i 0.0997360 + 0.0997360i 0.755214 0.655478i \(-0.227533\pi\)
−0.655478 + 0.755214i \(0.727533\pi\)
\(72\) −15.8999 4.26035i −1.87382 0.502088i
\(73\) 2.36118 0.632677i 0.276355 0.0740492i −0.117979 0.993016i \(-0.537642\pi\)
0.394335 + 0.918967i \(0.370975\pi\)
\(74\) 1.12841 1.95447i 0.131175 0.227202i
\(75\) −7.35651 12.7419i −0.849457 1.47130i
\(76\) −1.67988 1.67988i −0.192695 0.192695i
\(77\) −0.952667 0.950113i −0.108567 0.108275i
\(78\) −8.50628 2.47078i −0.963146 0.279760i
\(79\) 6.20571 + 10.7486i 0.698197 + 1.20931i 0.969091 + 0.246704i \(0.0793474\pi\)
−0.270894 + 0.962609i \(0.587319\pi\)
\(80\) 0.359968 + 1.34342i 0.0402456 + 0.150199i
\(81\) −4.71154 + 8.16062i −0.523504 + 0.906736i
\(82\) −3.20908 5.55828i −0.354383 0.613809i
\(83\) −7.31472 + 7.31472i −0.802894 + 0.802894i −0.983547 0.180653i \(-0.942179\pi\)
0.180653 + 0.983547i \(0.442179\pi\)
\(84\) −9.19275 5.29099i −1.00301 0.577295i
\(85\) −2.69830 + 2.69830i −0.292672 + 0.292672i
\(86\) 5.88956 + 1.57810i 0.635088 + 0.170171i
\(87\) −4.28343 2.47304i −0.459232 0.265137i
\(88\) 1.19890 + 0.692184i 0.127803 + 0.0737870i
\(89\) 2.52599 9.42713i 0.267755 0.999273i −0.692788 0.721141i \(-0.743618\pi\)
0.960543 0.278132i \(-0.0897154\pi\)
\(90\) −15.5334 −1.63737
\(91\) −8.16656 4.93024i −0.856088 0.516830i
\(92\) −6.94369 −0.723930
\(93\) −2.93623 + 10.9582i −0.304473 + 1.13631i
\(94\) −3.46753 2.00198i −0.357649 0.206489i
\(95\) −4.85484 2.80295i −0.498097 0.287576i
\(96\) 16.8672 + 4.51956i 1.72150 + 0.461275i
\(97\) −2.93184 + 2.93184i −0.297683 + 0.297683i −0.840106 0.542423i \(-0.817507\pi\)
0.542423 + 0.840106i \(0.317507\pi\)
\(98\) 4.05374 + 4.03203i 0.409490 + 0.407297i
\(99\) 2.17437 2.17437i 0.218532 0.218532i
\(100\) 3.25993 + 5.64637i 0.325993 + 0.564637i
\(101\) 7.72587 13.3816i 0.768753 1.33152i −0.169487 0.985532i \(-0.554211\pi\)
0.938240 0.345986i \(-0.112456\pi\)
\(102\) 0.771479 + 2.87920i 0.0763878 + 0.285083i
\(103\) 8.75030 + 15.1560i 0.862192 + 1.49336i 0.869808 + 0.493390i \(0.164242\pi\)
−0.00761617 + 0.999971i \(0.502424\pi\)
\(104\) 9.42561 + 2.73781i 0.924257 + 0.268464i
\(105\) −24.1841 6.44532i −2.36012 0.628999i
\(106\) 4.97833 + 4.97833i 0.483538 + 0.483538i
\(107\) −1.06208 1.83958i −0.102675 0.177839i 0.810111 0.586277i \(-0.199407\pi\)
−0.912786 + 0.408438i \(0.866074\pi\)
\(108\) 6.10715 10.5779i 0.587661 1.01786i
\(109\) −10.3442 + 2.77172i −0.990796 + 0.265483i −0.717585 0.696471i \(-0.754752\pi\)
−0.273211 + 0.961954i \(0.588086\pi\)
\(110\) 1.26187 + 0.338116i 0.120314 + 0.0322381i
\(111\) 5.87651 + 5.87651i 0.557773 + 0.557773i
\(112\) 1.01403 + 0.583634i 0.0958164 + 0.0551482i
\(113\) 5.21100 0.490210 0.245105 0.969497i \(-0.421178\pi\)
0.245105 + 0.969497i \(0.421178\pi\)
\(114\) −3.79226 + 2.18946i −0.355177 + 0.205062i
\(115\) −15.8265 + 4.24070i −1.47583 + 0.395448i
\(116\) 1.89814 + 1.09589i 0.176238 + 0.101751i
\(117\) 11.2929 18.6492i 1.04403 1.72412i
\(118\) 2.04552i 0.188305i
\(119\) 0.00430968 + 3.21011i 0.000395068 + 0.294270i
\(120\) 25.7518 2.35081
\(121\) 9.30231 5.37069i 0.845665 0.488245i
\(122\) −2.22076 8.28799i −0.201058 0.750359i
\(123\) 22.8292 6.11706i 2.05844 0.551557i
\(124\) 1.30115 4.85595i 0.116846 0.436077i
\(125\) −0.240960 0.240960i −0.0215521 0.0215521i
\(126\) −9.22748 + 9.25229i −0.822050 + 0.824260i
\(127\) 11.4359i 1.01477i 0.861720 + 0.507384i \(0.169387\pi\)
−0.861720 + 0.507384i \(0.830613\pi\)
\(128\) −8.17223 2.18974i −0.722330 0.193548i
\(129\) −11.2265 + 19.4449i −0.988441 + 1.71203i
\(130\) 9.26022 + 0.193447i 0.812175 + 0.0169664i
\(131\) 6.07972 3.51013i 0.531188 0.306681i −0.210312 0.977634i \(-0.567448\pi\)
0.741500 + 0.670953i \(0.234115\pi\)
\(132\) −1.44158 + 1.44158i −0.125474 + 0.125474i
\(133\) −4.55351 + 1.22666i −0.394840 + 0.106365i
\(134\) 6.04719i 0.522398i
\(135\) 7.45961 27.8397i 0.642021 2.39606i
\(136\) −0.854858 3.19037i −0.0733034 0.273572i
\(137\) 1.60979 + 6.00784i 0.137534 + 0.513284i 0.999975 + 0.00712570i \(0.00226820\pi\)
−0.862441 + 0.506158i \(0.831065\pi\)
\(138\) −3.31253 + 12.3625i −0.281981 + 1.05237i
\(139\) 1.91666i 0.162569i −0.996691 0.0812847i \(-0.974098\pi\)
0.996691 0.0812847i \(-0.0259023\pi\)
\(140\) 10.7168 + 2.85615i 0.905737 + 0.241389i
\(141\) 10.4259 10.4259i 0.878015 0.878015i
\(142\) −0.840691 + 0.485373i −0.0705493 + 0.0407316i
\(143\) −1.32332 + 1.26917i −0.110662 + 0.106133i
\(144\) −1.33698 + 2.31572i −0.111415 + 0.192977i
\(145\) 4.99565 + 1.33858i 0.414866 + 0.111163i
\(146\) 1.99662i 0.165242i
\(147\) −18.2054 + 10.5762i −1.50156 + 0.872307i
\(148\) −2.60409 2.60409i −0.214055 0.214055i
\(149\) 0.289039 1.07871i 0.0236790 0.0883711i −0.953075 0.302734i \(-0.902101\pi\)
0.976754 + 0.214363i \(0.0687674\pi\)
\(150\) 11.6080 3.11034i 0.947786 0.253958i
\(151\) −3.41102 12.7301i −0.277585 1.03596i −0.954089 0.299522i \(-0.903173\pi\)
0.676505 0.736438i \(-0.263494\pi\)
\(152\) 4.20211 2.42609i 0.340836 0.196782i
\(153\) −7.33659 −0.593128
\(154\) 0.950993 0.550760i 0.0766332 0.0443815i
\(155\) 11.8626i 0.952831i
\(156\) −7.48709 + 12.3642i −0.599447 + 0.989932i
\(157\) 12.0413 + 6.95203i 0.960998 + 0.554833i 0.896480 0.443084i \(-0.146116\pi\)
0.0645182 + 0.997917i \(0.479449\pi\)
\(158\) −9.79209 + 2.62378i −0.779017 + 0.208737i
\(159\) −22.4526 + 12.9630i −1.78061 + 1.02803i
\(160\) −18.2594 −1.44353
\(161\) −6.87567 + 11.9460i −0.541879 + 0.941478i
\(162\) −5.44236 5.44236i −0.427592 0.427592i
\(163\) 7.90791 + 2.11892i 0.619396 + 0.165967i 0.554853 0.831948i \(-0.312774\pi\)
0.0645426 + 0.997915i \(0.479441\pi\)
\(164\) −10.1164 + 2.71069i −0.789959 + 0.211669i
\(165\) −2.40534 + 4.16617i −0.187255 + 0.324336i
\(166\) −4.22467 7.31734i −0.327898 0.567936i
\(167\) 1.97146 + 1.97146i 0.152556 + 0.152556i 0.779259 0.626702i \(-0.215596\pi\)
−0.626702 + 0.779259i \(0.715596\pi\)
\(168\) 15.2976 15.3387i 1.18024 1.18341i
\(169\) −6.96450 + 10.9771i −0.535731 + 0.844389i
\(170\) −1.55842 2.69927i −0.119526 0.207024i
\(171\) −2.78952 10.4106i −0.213320 0.796121i
\(172\) 4.97487 8.61674i 0.379331 0.657020i
\(173\) 0.901884 + 1.56211i 0.0685690 + 0.118765i 0.898272 0.439441i \(-0.144823\pi\)
−0.829703 + 0.558206i \(0.811490\pi\)
\(174\) 2.85664 2.85664i 0.216561 0.216561i
\(175\) 12.9421 0.0173752i 0.978329 0.00131344i
\(176\) 0.159017 0.159017i 0.0119863 0.0119863i
\(177\) 7.27586 + 1.94956i 0.546887 + 0.146538i
\(178\) 6.90361 + 3.98580i 0.517447 + 0.298748i
\(179\) 14.8199 + 8.55629i 1.10769 + 0.639527i 0.938231 0.346010i \(-0.112464\pi\)
0.169462 + 0.985537i \(0.445797\pi\)
\(180\) −6.56050 + 24.4841i −0.488991 + 1.82494i
\(181\) 23.4682 1.74438 0.872190 0.489168i \(-0.162699\pi\)
0.872190 + 0.489168i \(0.162699\pi\)
\(182\) 5.61617 5.40082i 0.416298 0.400335i
\(183\) 31.5967 2.33570
\(184\) 3.67054 13.6986i 0.270596 1.00988i
\(185\) −7.52580 4.34502i −0.553308 0.319452i
\(186\) −8.02480 4.63312i −0.588407 0.339717i
\(187\) 0.595991 + 0.159695i 0.0435832 + 0.0116781i
\(188\) −4.62006 + 4.62006i −0.336953 + 0.336953i
\(189\) −12.1510 20.9811i −0.883857 1.52615i
\(190\) 3.23772 3.23772i 0.234889 0.234889i
\(191\) −12.6234 21.8644i −0.913400 1.58206i −0.809227 0.587496i \(-0.800114\pi\)
−0.104173 0.994559i \(-0.533220\pi\)
\(192\) −5.80139 + 10.0483i −0.418679 + 0.725174i
\(193\) 1.38209 + 5.15802i 0.0994848 + 0.371282i 0.997661 0.0683529i \(-0.0217744\pi\)
−0.898176 + 0.439635i \(0.855108\pi\)
\(194\) −1.69330 2.93289i −0.121572 0.210569i
\(195\) −9.51389 + 32.7540i −0.681304 + 2.34556i
\(196\) 8.06745 4.68667i 0.576247 0.334762i
\(197\) −10.7141 10.7141i −0.763345 0.763345i 0.213580 0.976926i \(-0.431487\pi\)
−0.976926 + 0.213580i \(0.931487\pi\)
\(198\) 1.25582 + 2.17515i 0.0892474 + 0.154581i
\(199\) −3.59015 + 6.21832i −0.254499 + 0.440805i −0.964759 0.263134i \(-0.915244\pi\)
0.710260 + 0.703939i \(0.248577\pi\)
\(200\) −12.8625 + 3.44650i −0.909517 + 0.243704i
\(201\) −21.5097 5.76350i −1.51718 0.406526i
\(202\) 8.92426 + 8.92426i 0.627909 + 0.627909i
\(203\) 3.76493 2.18043i 0.264246 0.153036i
\(204\) 4.86408 0.340554
\(205\) −21.4025 + 12.3568i −1.49482 + 0.863033i
\(206\) −13.8072 + 3.69964i −0.961995 + 0.257766i
\(207\) −27.2810 15.7507i −1.89616 1.09475i
\(208\) 0.825879 1.36386i 0.0572644 0.0945669i
\(209\) 0.906432i 0.0626992i
\(210\) 10.1976 17.7177i 0.703702 1.22264i
\(211\) −2.72556 −0.187636 −0.0938178 0.995589i \(-0.529907\pi\)
−0.0938178 + 0.995589i \(0.529907\pi\)
\(212\) 9.94953 5.74437i 0.683337 0.394525i
\(213\) −0.925207 3.45292i −0.0633941 0.236590i
\(214\) 1.67587 0.449049i 0.114560 0.0306964i
\(215\) 6.07659 22.6781i 0.414420 1.54664i
\(216\) 17.6399 + 17.6399i 1.20025 + 1.20025i
\(217\) −7.06584 7.04689i −0.479660 0.478374i
\(218\) 8.74709i 0.592428i
\(219\) −7.10192 1.90296i −0.479904 0.128590i
\(220\) 1.06589 1.84618i 0.0718623 0.124469i
\(221\) 4.37369 + 0.0913669i 0.294206 + 0.00614601i
\(222\) −5.87861 + 3.39402i −0.394547 + 0.227792i
\(223\) −15.3311 + 15.3311i −1.02665 + 1.02665i −0.0270132 + 0.999635i \(0.508600\pi\)
−0.999635 + 0.0270132i \(0.991400\pi\)
\(224\) −10.8468 + 10.8760i −0.724735 + 0.726683i
\(225\) 29.5787i 1.97191i
\(226\) −1.10161 + 4.11126i −0.0732779 + 0.273477i
\(227\) −4.68443 17.4825i −0.310916 1.16036i −0.927732 0.373248i \(-0.878244\pi\)
0.616815 0.787108i \(-0.288423\pi\)
\(228\) 1.84942 + 6.90214i 0.122481 + 0.457105i
\(229\) 1.11881 4.17546i 0.0739331 0.275922i −0.919056 0.394126i \(-0.871047\pi\)
0.992989 + 0.118205i \(0.0377138\pi\)
\(230\) 13.3829i 0.882445i
\(231\) 1.05266 + 3.90758i 0.0692598 + 0.257100i
\(232\) −3.16538 + 3.16538i −0.207817 + 0.207817i
\(233\) 8.56327 4.94400i 0.560998 0.323892i −0.192548 0.981288i \(-0.561675\pi\)
0.753546 + 0.657395i \(0.228342\pi\)
\(234\) 12.3261 + 12.8521i 0.805784 + 0.840168i
\(235\) −7.70876 + 13.3520i −0.502864 + 0.870986i
\(236\) −3.22419 0.863919i −0.209877 0.0562363i
\(237\) 37.3309i 2.42490i
\(238\) −2.53355 0.675219i −0.164226 0.0437679i
\(239\) −8.13735 8.13735i −0.526361 0.526361i 0.393124 0.919485i \(-0.371394\pi\)
−0.919485 + 0.393124i \(0.871394\pi\)
\(240\) 1.08271 4.04071i 0.0698883 0.260827i
\(241\) 14.0777 3.77210i 0.906822 0.242982i 0.224878 0.974387i \(-0.427802\pi\)
0.681944 + 0.731405i \(0.261135\pi\)
\(242\) 2.27074 + 8.47450i 0.145968 + 0.544762i
\(243\) 0.736584 0.425267i 0.0472519 0.0272809i
\(244\) −14.0016 −0.896362
\(245\) 15.5256 15.6092i 0.991894 0.997235i
\(246\) 19.3044i 1.23080i
\(247\) 1.53332 + 6.24101i 0.0975626 + 0.397106i
\(248\) 8.89210 + 5.13386i 0.564649 + 0.326000i
\(249\) 30.0540 8.05296i 1.90460 0.510335i
\(250\) 0.241046 0.139168i 0.0152451 0.00880177i
\(251\) 2.29786 0.145040 0.0725198 0.997367i \(-0.476896\pi\)
0.0725198 + 0.997367i \(0.476896\pi\)
\(252\) 10.6865 + 18.4522i 0.673183 + 1.16238i
\(253\) 1.87334 + 1.87334i 0.117776 + 0.117776i
\(254\) −9.02241 2.41755i −0.566116 0.151690i
\(255\) 11.0865 2.97063i 0.694266 0.186028i
\(256\) 7.31281 12.6662i 0.457051 0.791635i
\(257\) 9.02516 + 15.6320i 0.562974 + 0.975100i 0.997235 + 0.0743128i \(0.0236763\pi\)
−0.434261 + 0.900787i \(0.642990\pi\)
\(258\) −12.9679 12.9679i −0.807348 0.807348i
\(259\) −7.05869 + 1.90153i −0.438605 + 0.118155i
\(260\) 4.21594 14.5144i 0.261462 0.900148i
\(261\) 4.97173 + 8.61128i 0.307742 + 0.533025i
\(262\) 1.48409 + 5.53869i 0.0916872 + 0.342181i
\(263\) −3.98168 + 6.89647i −0.245521 + 0.425255i −0.962278 0.272068i \(-0.912292\pi\)
0.716757 + 0.697323i \(0.245626\pi\)
\(264\) −2.08194 3.60603i −0.128135 0.221936i
\(265\) 19.1694 19.1694i 1.17757 1.17757i
\(266\) −0.00517124 3.85185i −0.000317069 0.236172i
\(267\) −20.7571 + 20.7571i −1.27032 + 1.27032i
\(268\) 9.53170 + 2.55401i 0.582241 + 0.156011i
\(269\) 6.97055 + 4.02445i 0.425002 + 0.245375i 0.697215 0.716862i \(-0.254422\pi\)
−0.272213 + 0.962237i \(0.587756\pi\)
\(270\) 20.3873 + 11.7706i 1.24073 + 0.716338i
\(271\) 5.74808 21.4521i 0.349171 1.30312i −0.538492 0.842631i \(-0.681006\pi\)
0.887663 0.460494i \(-0.152328\pi\)
\(272\) −0.536543 −0.0325327
\(273\) 13.8579 + 25.1240i 0.838716 + 1.52057i
\(274\) −5.08024 −0.306909
\(275\) 0.643838 2.40284i 0.0388249 0.144897i
\(276\) 18.0870 + 10.4426i 1.08871 + 0.628568i
\(277\) −1.27323 0.735098i −0.0765008 0.0441678i 0.461262 0.887264i \(-0.347397\pi\)
−0.537762 + 0.843096i \(0.680730\pi\)
\(278\) 1.51217 + 0.405184i 0.0906938 + 0.0243013i
\(279\) 16.1271 16.1271i 0.965502 0.965502i
\(280\) −11.2997 + 19.6325i −0.675289 + 1.17327i
\(281\) −13.2274 + 13.2274i −0.789081 + 0.789081i −0.981343 0.192263i \(-0.938417\pi\)
0.192263 + 0.981343i \(0.438417\pi\)
\(282\) 6.02153 + 10.4296i 0.358577 + 0.621073i
\(283\) 2.39327 4.14527i 0.142265 0.246411i −0.786084 0.618120i \(-0.787895\pi\)
0.928349 + 0.371709i \(0.121228\pi\)
\(284\) 0.409992 + 1.53011i 0.0243285 + 0.0907954i
\(285\) 8.43066 + 14.6023i 0.499389 + 0.864967i
\(286\) −0.721567 1.31235i −0.0426671 0.0776008i
\(287\) −5.35381 + 20.0885i −0.316026 + 1.18579i
\(288\) −24.8234 24.8234i −1.46273 1.46273i
\(289\) 7.76394 + 13.4475i 0.456702 + 0.791032i
\(290\) −2.11217 + 3.65838i −0.124031 + 0.214828i
\(291\) 12.0461 3.22773i 0.706153 0.189213i
\(292\) 3.14711 + 0.843267i 0.184171 + 0.0493484i
\(293\) −15.3136 15.3136i −0.894628 0.894628i 0.100326 0.994955i \(-0.468011\pi\)
−0.994955 + 0.100326i \(0.968011\pi\)
\(294\) −4.49552 16.5991i −0.262184 0.968079i
\(295\) −7.87640 −0.458582
\(296\) 6.51395 3.76083i 0.378616 0.218594i
\(297\) −4.50147 + 1.20617i −0.261202 + 0.0699888i
\(298\) 0.789951 + 0.456079i 0.0457607 + 0.0264199i
\(299\) 16.0674 + 9.72950i 0.929200 + 0.562672i
\(300\) 19.6103i 1.13220i
\(301\) −9.89820 17.0912i −0.570523 0.985118i
\(302\) 10.7646 0.619433
\(303\) −40.2489 + 23.2377i −2.31224 + 1.33497i
\(304\) −0.204004 0.761355i −0.0117005 0.0436667i
\(305\) −31.9134 + 8.55118i −1.82736 + 0.489639i
\(306\) 1.55096 5.78826i 0.0886624 0.330893i
\(307\) 9.36619 + 9.36619i 0.534556 + 0.534556i 0.921925 0.387369i \(-0.126616\pi\)
−0.387369 + 0.921925i \(0.626616\pi\)
\(308\) −0.466470 1.73159i −0.0265796 0.0986663i
\(309\) 52.6380i 2.99447i
\(310\) 9.35913 + 2.50777i 0.531563 + 0.142432i
\(311\) −2.71082 + 4.69528i −0.153716 + 0.266245i −0.932591 0.360935i \(-0.882458\pi\)
0.778874 + 0.627180i \(0.215791\pi\)
\(312\) −20.4346 21.3066i −1.15688 1.20625i
\(313\) −18.2670 + 10.5464i −1.03251 + 0.596120i −0.917703 0.397268i \(-0.869958\pi\)
−0.114807 + 0.993388i \(0.536625\pi\)
\(314\) −8.03039 + 8.03039i −0.453181 + 0.453181i
\(315\) 35.6266 + 35.5310i 2.00733 + 2.00195i
\(316\) 16.5426i 0.930596i
\(317\) −3.98815 + 14.8840i −0.223997 + 0.835968i 0.758807 + 0.651316i \(0.225783\pi\)
−0.982804 + 0.184652i \(0.940884\pi\)
\(318\) −5.48077 20.4545i −0.307347 1.14703i
\(319\) −0.216439 0.807761i −0.0121183 0.0452259i
\(320\) 3.14012 11.7191i 0.175538 0.655117i
\(321\) 6.38902i 0.356600i
\(322\) −7.97138 7.95001i −0.444228 0.443036i
\(323\) 1.52921 1.52921i 0.0850874 0.0850874i
\(324\) −10.8769 + 6.27980i −0.604274 + 0.348878i
\(325\) 0.368361 17.6333i 0.0204330 0.978117i
\(326\) −3.34348 + 5.79107i −0.185178 + 0.320738i
\(327\) 31.1131 + 8.33674i 1.72056 + 0.461023i
\(328\) 21.3908i 1.18111i
\(329\) 3.37361 + 12.5232i 0.185993 + 0.690428i
\(330\) −2.77844 2.77844i −0.152948 0.152948i
\(331\) −2.44797 + 9.13594i −0.134552 + 0.502156i 0.865447 + 0.501001i \(0.167035\pi\)
−0.999999 + 0.00115583i \(0.999632\pi\)
\(332\) −13.3180 + 3.56855i −0.730921 + 0.195850i
\(333\) −4.32421 16.1382i −0.236965 0.884367i
\(334\) −1.97217 + 1.13863i −0.107912 + 0.0623031i
\(335\) 23.2851 1.27220
\(336\) −1.76363 3.04525i −0.0962138 0.166132i
\(337\) 30.8890i 1.68263i −0.540545 0.841315i \(-0.681782\pi\)
0.540545 0.841315i \(-0.318218\pi\)
\(338\) −7.18813 7.81525i −0.390983 0.425094i
\(339\) −13.5737 7.83678i −0.737222 0.425636i
\(340\) −4.91284 + 1.31639i −0.266436 + 0.0713913i
\(341\) −1.66113 + 0.959052i −0.0899551 + 0.0519356i
\(342\) 8.80326 0.476026
\(343\) −0.0745920 18.5201i −0.00402759 0.999992i
\(344\) 14.3695 + 14.3695i 0.774750 + 0.774750i
\(345\) 47.6028 + 12.7551i 2.56285 + 0.686713i
\(346\) −1.42310 + 0.381318i −0.0765062 + 0.0204998i
\(347\) −5.48714 + 9.50400i −0.294565 + 0.510201i −0.974884 0.222715i \(-0.928508\pi\)
0.680319 + 0.732916i \(0.261841\pi\)
\(348\) −3.29620 5.70919i −0.176695 0.306045i
\(349\) −14.1593 14.1593i −0.757930 0.757930i 0.218015 0.975945i \(-0.430042\pi\)
−0.975945 + 0.218015i \(0.930042\pi\)
\(350\) −2.72226 + 10.2144i −0.145511 + 0.545984i
\(351\) −28.9534 + 15.9194i −1.54542 + 0.849716i
\(352\) 1.47621 + 2.55687i 0.0786822 + 0.136282i
\(353\) 4.93709 + 18.4255i 0.262775 + 0.980688i 0.963598 + 0.267354i \(0.0861493\pi\)
−0.700824 + 0.713334i \(0.747184\pi\)
\(354\) −3.07624 + 5.32820i −0.163500 + 0.283191i
\(355\) 1.86896 + 3.23714i 0.0991942 + 0.171809i
\(356\) 9.19822 9.19822i 0.487504 0.487504i
\(357\) 4.81643 8.36823i 0.254913 0.442894i
\(358\) −9.88349 + 9.88349i −0.522359 + 0.522359i
\(359\) 27.0728 + 7.25413i 1.42885 + 0.382858i 0.888613 0.458657i \(-0.151669\pi\)
0.540233 + 0.841515i \(0.318336\pi\)
\(360\) −44.8347 25.8853i −2.36300 1.36428i
\(361\) −13.7031 7.91149i −0.721216 0.416394i
\(362\) −4.96120 + 18.5154i −0.260755 + 0.973150i
\(363\) −32.3078 −1.69572
\(364\) −6.14091 11.1333i −0.321871 0.583545i
\(365\) 7.68812 0.402414
\(366\) −6.67957 + 24.9285i −0.349147 + 1.30303i
\(367\) 14.4837 + 8.36218i 0.756044 + 0.436502i 0.827874 0.560915i \(-0.189550\pi\)
−0.0718297 + 0.997417i \(0.522884\pi\)
\(368\) −1.99513 1.15189i −0.104003 0.0600463i
\(369\) −45.8951 12.2976i −2.38921 0.640186i
\(370\) 5.01900 5.01900i 0.260925 0.260925i
\(371\) −0.0306170 22.8054i −0.00158956 1.18400i
\(372\) −10.6921 + 10.6921i −0.554358 + 0.554358i
\(373\) −8.19490 14.1940i −0.424316 0.734937i 0.572040 0.820226i \(-0.306152\pi\)
−0.996356 + 0.0852887i \(0.972819\pi\)
\(374\) −0.251986 + 0.436452i −0.0130299 + 0.0225684i
\(375\) 0.265279 + 0.990035i 0.0136990 + 0.0511252i
\(376\) −6.67231 11.5568i −0.344098 0.595996i
\(377\) −2.85664 5.19551i −0.147125 0.267582i
\(378\) 19.1219 5.15123i 0.983526 0.264951i
\(379\) 2.80924 + 2.80924i 0.144301 + 0.144301i 0.775567 0.631266i \(-0.217464\pi\)
−0.631266 + 0.775567i \(0.717464\pi\)
\(380\) −3.73592 6.47081i −0.191649 0.331945i
\(381\) 17.1983 29.7883i 0.881095 1.52610i
\(382\) 19.9187 5.33721i 1.01913 0.273075i
\(383\) 37.4573 + 10.0367i 1.91398 + 0.512849i 0.992114 + 0.125342i \(0.0400028\pi\)
0.921867 + 0.387508i \(0.126664\pi\)
\(384\) 17.9940 + 17.9940i 0.918255 + 0.918255i
\(385\) −2.12074 3.66186i −0.108083 0.186626i
\(386\) −4.36163 −0.222001
\(387\) 39.0915 22.5695i 1.98713 1.14727i
\(388\) −5.33804 + 1.43032i −0.270998 + 0.0726137i
\(389\) 4.22632 + 2.44006i 0.214283 + 0.123716i 0.603300 0.797514i \(-0.293852\pi\)
−0.389017 + 0.921230i \(0.627185\pi\)
\(390\) −23.8303 14.4303i −1.20669 0.730705i
\(391\) 6.32089i 0.319661i
\(392\) 4.98138 + 18.3931i 0.251598 + 0.928990i
\(393\) −21.1154 −1.06513
\(394\) 10.7179 6.18798i 0.539960 0.311746i
\(395\) 10.1030 + 37.7051i 0.508339 + 1.89715i
\(396\) 3.95890 1.06079i 0.198942 0.0533065i
\(397\) −8.19329 + 30.5778i −0.411210 + 1.53466i 0.381099 + 0.924534i \(0.375546\pi\)
−0.792308 + 0.610121i \(0.791121\pi\)
\(398\) −4.14703 4.14703i −0.207872 0.207872i
\(399\) 13.7058 + 3.65275i 0.686150 + 0.182866i
\(400\) 2.16316i 0.108158i
\(401\) −9.34436 2.50381i −0.466635 0.125035i 0.0178375 0.999841i \(-0.494322\pi\)
−0.484473 + 0.874806i \(0.660989\pi\)
\(402\) 9.09432 15.7518i 0.453583 0.785630i
\(403\) −9.81495 + 9.41327i −0.488918 + 0.468908i
\(404\) 17.8357 10.2975i 0.887361 0.512318i
\(405\) −20.9562 + 20.9562i −1.04132 + 1.04132i
\(406\) 0.924356 + 3.43131i 0.0458750 + 0.170293i
\(407\) 1.40512i 0.0696491i
\(408\) −2.57123 + 9.59595i −0.127295 + 0.475070i
\(409\) 3.09562 + 11.5530i 0.153068 + 0.571259i 0.999263 + 0.0383851i \(0.0122214\pi\)
−0.846195 + 0.532874i \(0.821112\pi\)
\(410\) −5.22445 19.4979i −0.258017 0.962933i
\(411\) 4.84191 18.0703i 0.238834 0.891341i
\(412\) 23.3258i 1.14918i
\(413\) −4.67890 + 4.69148i −0.230234 + 0.230853i
\(414\) 18.1939 18.1939i 0.894180 0.894180i
\(415\) −28.1759 + 16.2674i −1.38310 + 0.798533i
\(416\) 14.4893 + 15.1075i 0.710394 + 0.740708i
\(417\) −2.88246 + 4.99256i −0.141155 + 0.244487i
\(418\) −0.715137 0.191620i −0.0349785 0.00937246i
\(419\) 18.5355i 0.905516i 0.891633 + 0.452758i \(0.149560\pi\)
−0.891633 + 0.452758i \(0.850440\pi\)
\(420\) −23.6200 23.5567i −1.15254 1.14945i
\(421\) 19.2884 + 19.2884i 0.940060 + 0.940060i 0.998302 0.0582422i \(-0.0185496\pi\)
−0.0582422 + 0.998302i \(0.518550\pi\)
\(422\) 0.576186 2.15036i 0.0280483 0.104678i
\(423\) −28.6317 + 7.67184i −1.39212 + 0.373017i
\(424\) 6.07312 + 22.6652i 0.294937 + 1.10072i
\(425\) −5.13993 + 2.96754i −0.249323 + 0.143947i
\(426\) 2.91980 0.141465
\(427\) −13.8645 + 24.0886i −0.670948 + 1.16573i
\(428\) 2.83120i 0.136851i
\(429\) 5.35570 1.31581i 0.258576 0.0635279i
\(430\) 16.6075 + 9.58834i 0.800884 + 0.462391i
\(431\) 8.84924 2.37115i 0.426253 0.114214i −0.0393138 0.999227i \(-0.512517\pi\)
0.465567 + 0.885013i \(0.345851\pi\)
\(432\) 3.50953 2.02623i 0.168852 0.0974870i
\(433\) 23.6700 1.13751 0.568755 0.822507i \(-0.307425\pi\)
0.568755 + 0.822507i \(0.307425\pi\)
\(434\) 7.05342 4.08493i 0.338575 0.196083i
\(435\) −10.9997 10.9997i −0.527394 0.527394i
\(436\) −13.7873 3.69431i −0.660294 0.176925i
\(437\) 8.96936 2.40333i 0.429063 0.114967i
\(438\) 3.00270 5.20083i 0.143475 0.248505i
\(439\) −5.64906 9.78446i −0.269615 0.466987i 0.699148 0.714977i \(-0.253563\pi\)
−0.968762 + 0.247991i \(0.920230\pi\)
\(440\) 3.07872 + 3.07872i 0.146772 + 0.146772i
\(441\) 42.3272 0.113652i 2.01558 0.00541198i
\(442\) −0.996685 + 3.43134i −0.0474075 + 0.163212i
\(443\) −19.5144 33.7999i −0.927157 1.60588i −0.788054 0.615606i \(-0.788911\pi\)
−0.139103 0.990278i \(-0.544422\pi\)
\(444\) 2.86691 + 10.6994i 0.136057 + 0.507773i
\(445\) 15.3476 26.5828i 0.727545 1.26015i
\(446\) −8.85460 15.3366i −0.419278 0.726210i
\(447\) −2.37515 + 2.37515i −0.112341 + 0.112341i
\(448\) −5.11497 8.83198i −0.241659 0.417272i
\(449\) −8.82288 + 8.82288i −0.416378 + 0.416378i −0.883953 0.467576i \(-0.845128\pi\)
0.467576 + 0.883953i \(0.345128\pi\)
\(450\) −23.3363 6.25295i −1.10008 0.294767i
\(451\) 3.46063 + 1.99800i 0.162955 + 0.0940820i
\(452\) 6.01499 + 3.47276i 0.282921 + 0.163345i
\(453\) −10.2596 + 38.2894i −0.482038 + 1.79899i
\(454\) 14.7833 0.693813
\(455\) −20.7962 21.6254i −0.974941 1.01381i
\(456\) −14.5943 −0.683441
\(457\) 5.91700 22.0825i 0.276786 1.03298i −0.677850 0.735200i \(-0.737088\pi\)
0.954635 0.297777i \(-0.0962453\pi\)
\(458\) 3.05774 + 1.76539i 0.142879 + 0.0824912i
\(459\) 9.62914 + 5.55938i 0.449450 + 0.259490i
\(460\) −21.0945 5.65224i −0.983534 0.263537i
\(461\) −7.67189 + 7.67189i −0.357316 + 0.357316i −0.862823 0.505507i \(-0.831306\pi\)
0.505507 + 0.862823i \(0.331306\pi\)
\(462\) −3.30545 + 0.00443768i −0.153783 + 0.000206459i
\(463\) 14.0571 14.0571i 0.653289 0.653289i −0.300495 0.953783i \(-0.597152\pi\)
0.953783 + 0.300495i \(0.0971518\pi\)
\(464\) 0.363594 + 0.629764i 0.0168794 + 0.0292361i
\(465\) −17.8401 + 30.9000i −0.827317 + 1.43295i
\(466\) 2.09033 + 7.80122i 0.0968327 + 0.361385i
\(467\) 4.96276 + 8.59575i 0.229649 + 0.397764i 0.957704 0.287755i \(-0.0929088\pi\)
−0.728055 + 0.685519i \(0.759576\pi\)
\(468\) 25.4636 14.0006i 1.17706 0.647180i
\(469\) 13.8323 13.8695i 0.638715 0.640433i
\(470\) −8.90450 8.90450i −0.410734 0.410734i
\(471\) −20.9102 36.2176i −0.963492 1.66882i
\(472\) 3.40871 5.90406i 0.156899 0.271756i
\(473\) −3.66689 + 0.982540i −0.168604 + 0.0451772i
\(474\) 29.4525 + 7.89177i 1.35280 + 0.362481i
\(475\) −6.16525 6.16525i −0.282881 0.282881i
\(476\) −2.13433 + 3.70826i −0.0978269 + 0.169968i
\(477\) 52.1209 2.38645
\(478\) 8.14026 4.69978i 0.372327 0.214963i
\(479\) 20.3767 5.45991i 0.931034 0.249470i 0.238738 0.971084i \(-0.423266\pi\)
0.692295 + 0.721614i \(0.256600\pi\)
\(480\) 47.5625 + 27.4602i 2.17092 + 1.25338i
\(481\) 2.37689 + 9.67459i 0.108377 + 0.441123i
\(482\) 11.9041i 0.542217i
\(483\) 35.8754 20.7769i 1.63239 0.945383i
\(484\) 14.3167 0.650760
\(485\) −11.2933 + 6.52018i −0.512801 + 0.296066i
\(486\) 0.179803 + 0.671035i 0.00815605 + 0.0304388i
\(487\) −42.3475 + 11.3470i −1.91895 + 0.514181i −0.929610 + 0.368544i \(0.879856\pi\)
−0.989338 + 0.145637i \(0.953477\pi\)
\(488\) 7.40147 27.6227i 0.335049 1.25042i
\(489\) −17.4120 17.4120i −0.787400 0.787400i
\(490\) 9.03287 + 15.5488i 0.408064 + 0.702424i
\(491\) 37.1276i 1.67554i 0.546021 + 0.837772i \(0.316142\pi\)
−0.546021 + 0.837772i \(0.683858\pi\)
\(492\) 30.4280 + 8.15316i 1.37180 + 0.367573i
\(493\) −0.997597 + 1.72789i −0.0449295 + 0.0778202i
\(494\) −5.24804 0.109632i −0.236121 0.00493259i
\(495\) 8.37555 4.83562i 0.376453 0.217345i
\(496\) 1.17941 1.17941i 0.0529571 0.0529571i
\(497\) 3.03840 + 0.809766i 0.136291 + 0.0363230i
\(498\) 25.4138i 1.13882i
\(499\) −1.38618 + 5.17328i −0.0620538 + 0.231588i −0.989987 0.141159i \(-0.954917\pi\)
0.927933 + 0.372747i \(0.121584\pi\)
\(500\) −0.117555 0.438720i −0.00525720 0.0196201i
\(501\) −2.17043 8.10016i −0.0969677 0.361888i
\(502\) −0.485769 + 1.81292i −0.0216809 + 0.0809144i
\(503\) 27.7355i 1.23666i −0.785917 0.618332i \(-0.787809\pi\)
0.785917 0.618332i \(-0.212191\pi\)
\(504\) −42.0519 + 11.3283i −1.87314 + 0.504603i
\(505\) 34.3634 34.3634i 1.52915 1.52915i
\(506\) −1.87401 + 1.08196i −0.0833101 + 0.0480991i
\(507\) 34.6496 18.1194i 1.53884 0.804709i
\(508\) −7.62117 + 13.2003i −0.338135 + 0.585667i
\(509\) −29.2382 7.83435i −1.29596 0.347252i −0.456039 0.889960i \(-0.650732\pi\)
−0.839921 + 0.542708i \(0.817399\pi\)
\(510\) 9.37480i 0.415123i
\(511\) 4.56705 4.57933i 0.202034 0.202578i
\(512\) −3.51784 3.51784i −0.155468 0.155468i
\(513\) −4.22758 + 15.7776i −0.186652 + 0.696596i
\(514\) −14.2409 + 3.81585i −0.628141 + 0.168310i
\(515\) 14.2457 + 53.1656i 0.627740 + 2.34276i
\(516\) −25.9173 + 14.9633i −1.14094 + 0.658725i
\(517\) 2.49290 0.109638
\(518\) −0.00801626 5.97099i −0.000352214 0.262350i
\(519\) 5.42535i 0.238146i
\(520\) 26.4058 + 15.9898i 1.15797 + 0.701201i
\(521\) −36.7196 21.2001i −1.60872 0.928792i −0.989658 0.143446i \(-0.954182\pi\)
−0.619057 0.785346i \(-0.712485\pi\)
\(522\) −7.84496 + 2.10205i −0.343365 + 0.0920043i
\(523\) −3.60227 + 2.07977i −0.157516 + 0.0909420i −0.576686 0.816966i \(-0.695654\pi\)
0.419170 + 0.907908i \(0.362321\pi\)
\(524\) 9.35699 0.408762
\(525\) −33.7379 19.4182i −1.47244 0.847481i
\(526\) −4.59929 4.59929i −0.200539 0.200539i
\(527\) 4.42040 + 1.18444i 0.192556 + 0.0515952i
\(528\) −0.653354 + 0.175066i −0.0284336 + 0.00761876i
\(529\) 2.07015 3.58560i 0.0900064 0.155896i
\(530\) 11.0714 + 19.1763i 0.480912 + 0.832964i
\(531\) −10.7078 10.7078i −0.464681 0.464681i
\(532\) −6.07354 1.61866i −0.263321 0.0701780i
\(533\) 27.2071 + 7.90273i 1.17847 + 0.342305i
\(534\) −11.9884 20.7646i −0.518790 0.898571i
\(535\) −1.72909 6.45306i −0.0747552 0.278990i
\(536\) −10.0772 + 17.4542i −0.435269 + 0.753908i
\(537\) −25.7355 44.5751i −1.11057 1.92356i
\(538\) −4.64870 + 4.64870i −0.200420 + 0.200420i
\(539\) −3.44094 0.912103i −0.148212 0.0392870i
\(540\) 27.1636 27.1636i 1.16894 1.16894i
\(541\) −40.4410 10.8361i −1.73869 0.465882i −0.756538 0.653950i \(-0.773111\pi\)
−0.982156 + 0.188068i \(0.939777\pi\)
\(542\) 15.7097 + 9.06999i 0.674789 + 0.389589i
\(543\) −61.1304 35.2937i −2.62336 1.51460i
\(544\) 1.82314 6.80405i 0.0781665 0.291721i
\(545\) −33.6812 −1.44275
\(546\) −22.7513 + 5.62203i −0.973667 + 0.240601i
\(547\) −13.4403 −0.574667 −0.287334 0.957831i \(-0.592769\pi\)
−0.287334 + 0.957831i \(0.592769\pi\)
\(548\) −2.14562 + 8.00758i −0.0916565 + 0.342067i
\(549\) −55.0110 31.7606i −2.34781 1.35551i
\(550\) 1.75963 + 1.01592i 0.0750308 + 0.0433191i
\(551\) −2.83118 0.758614i −0.120613 0.0323180i
\(552\) −30.1624 + 30.1624i −1.28380 + 1.28380i
\(553\) 28.4602 + 16.3806i 1.21025 + 0.696573i
\(554\) 0.849123 0.849123i 0.0360758 0.0360758i
\(555\) 13.0689 + 22.6360i 0.554743 + 0.960844i
\(556\) 1.27732 2.21238i 0.0541704 0.0938258i
\(557\) 5.40317 + 20.1649i 0.228940 + 0.854415i 0.980788 + 0.195078i \(0.0624961\pi\)
−0.751848 + 0.659337i \(0.770837\pi\)
\(558\) 9.31430 + 16.1328i 0.394306 + 0.682958i
\(559\) −23.5854 + 12.9679i −0.997556 + 0.548485i
\(560\) 2.60546 + 2.59847i 0.110101 + 0.109805i
\(561\) −1.31228 1.31228i −0.0554047 0.0554047i
\(562\) −7.63958 13.2321i −0.322256 0.558164i
\(563\) 13.5788 23.5192i 0.572278 0.991215i −0.424053 0.905637i \(-0.639393\pi\)
0.996331 0.0855779i \(-0.0272737\pi\)
\(564\) 18.9825 5.08635i 0.799308 0.214174i
\(565\) 15.8307 + 4.24181i 0.666001 + 0.178454i
\(566\) 2.76450 + 2.76450i 0.116201 + 0.116201i
\(567\) 0.0334708 + 24.9311i 0.00140564 + 1.04701i
\(568\) −3.23536 −0.135753
\(569\) −10.6066 + 6.12370i −0.444650 + 0.256719i −0.705568 0.708642i \(-0.749308\pi\)
0.260918 + 0.965361i \(0.415975\pi\)
\(570\) −13.3029 + 3.56449i −0.557196 + 0.149300i
\(571\) −4.06355 2.34609i −0.170054 0.0981809i 0.412557 0.910932i \(-0.364636\pi\)
−0.582611 + 0.812751i \(0.697969\pi\)
\(572\) −2.37330 + 0.583082i −0.0992327 + 0.0243799i
\(573\) 75.9372i 3.17232i
\(574\) −14.7172 8.47066i −0.614285 0.353559i
\(575\) −25.4837 −1.06274
\(576\) 20.2008 11.6630i 0.841701 0.485956i
\(577\) −4.41741 16.4860i −0.183899 0.686321i −0.994864 0.101225i \(-0.967724\pi\)
0.810964 0.585095i \(-0.198943\pi\)
\(578\) −12.2508 + 3.28260i −0.509568 + 0.136538i
\(579\) 4.15702 15.5142i 0.172760 0.644749i
\(580\) 4.87435 + 4.87435i 0.202396 + 0.202396i
\(581\) −7.04816 + 26.4461i −0.292407 + 1.09717i
\(582\) 10.1862i 0.422231i
\(583\) −4.23407 1.13452i −0.175357 0.0469868i
\(584\) −3.32722 + 5.76292i −0.137682 + 0.238471i
\(585\) 49.4878 47.4625i 2.04607 1.96233i
\(586\) 15.3191 8.84446i 0.632824 0.365361i
\(587\) −6.21734 + 6.21734i −0.256617 + 0.256617i −0.823677 0.567060i \(-0.808081\pi\)
0.567060 + 0.823677i \(0.308081\pi\)
\(588\) −28.0625 + 0.0753499i −1.15728 + 0.00310738i
\(589\) 6.72291i 0.277013i
\(590\) 1.66508 6.21415i 0.0685501 0.255833i
\(591\) 11.7954 + 44.0210i 0.485197 + 1.81078i
\(592\) −0.316240 1.18022i −0.0129974 0.0485069i
\(593\) 10.0703 37.5829i 0.413538 1.54334i −0.374209 0.927344i \(-0.622086\pi\)
0.787747 0.615999i \(-0.211248\pi\)
\(594\) 3.80645i 0.156181i
\(595\) −2.59997 + 9.75560i −0.106589 + 0.399941i
\(596\) 1.05251 1.05251i 0.0431127 0.0431127i
\(597\) 18.7034 10.7984i 0.765478 0.441949i
\(598\) −11.0728 + 10.6197i −0.452801 + 0.434270i
\(599\) 17.4902 30.2939i 0.714629 1.23777i −0.248474 0.968639i \(-0.579929\pi\)
0.963103 0.269135i \(-0.0867377\pi\)
\(600\) 38.6876 + 10.3663i 1.57942 + 0.423203i
\(601\) 11.7882i 0.480852i −0.970667 0.240426i \(-0.922713\pi\)
0.970667 0.240426i \(-0.0772872\pi\)
\(602\) 15.5767 4.19618i 0.634859 0.171024i
\(603\) 31.6557 + 31.6557i 1.28912 + 1.28912i
\(604\) 4.54639 16.9674i 0.184990 0.690393i
\(605\) 32.6316 8.74361i 1.32666 0.355478i
\(606\) −9.82494 36.6672i −0.399111 1.48950i
\(607\) 16.5407 9.54978i 0.671366 0.387614i −0.125228 0.992128i \(-0.539966\pi\)
0.796594 + 0.604514i \(0.206633\pi\)
\(608\) 10.3482 0.419673
\(609\) −13.0861 + 0.0175685i −0.530274 + 0.000711912i
\(610\) 26.9861i 1.09263i
\(611\) 17.1643 4.21698i 0.694391 0.170601i
\(612\) −8.46853 4.88931i −0.342320 0.197638i
\(613\) 24.5517 6.57860i 0.991632 0.265707i 0.273696 0.961816i \(-0.411754\pi\)
0.717936 + 0.696109i \(0.245087\pi\)
\(614\) −9.36954 + 5.40951i −0.378124 + 0.218310i
\(615\) 74.3329 2.99739
\(616\) 3.66269 0.00491729i 0.147574 0.000198123i
\(617\) −10.4089 10.4089i −0.419046 0.419046i 0.465829 0.884875i \(-0.345756\pi\)
−0.884875 + 0.465829i \(0.845756\pi\)
\(618\) 41.5292 + 11.1277i 1.67055 + 0.447622i
\(619\) −30.7106 + 8.22887i −1.23436 + 0.330746i −0.816276 0.577661i \(-0.803965\pi\)
−0.418085 + 0.908408i \(0.637299\pi\)
\(620\) 7.90560 13.6929i 0.317496 0.549920i
\(621\) 23.8706 + 41.3451i 0.957893 + 1.65912i
\(622\) −3.13131 3.13131i −0.125554 0.125554i
\(623\) −6.71662 24.9328i −0.269096 0.998913i
\(624\) −4.20237 + 2.31058i −0.168229 + 0.0924973i
\(625\) −12.7650 22.1096i −0.510600 0.884385i
\(626\) −4.45905 16.6414i −0.178219 0.665124i
\(627\) 1.36318 2.36109i 0.0544400 0.0942929i
\(628\) 9.26606 + 16.0493i 0.369756 + 0.640436i
\(629\) 2.37052 2.37052i 0.0945188 0.0945188i
\(630\) −35.5639 + 20.5966i −1.41690 + 0.820587i
\(631\) 26.3103 26.3103i 1.04739 1.04739i 0.0485754 0.998820i \(-0.484532\pi\)
0.998820 0.0485754i \(-0.0154681\pi\)
\(632\) −32.6356 8.74469i −1.29817 0.347845i
\(633\) 7.09960 + 4.09896i 0.282184 + 0.162919i
\(634\) −10.8997 6.29297i −0.432884 0.249926i
\(635\) −9.30892 + 34.7414i −0.369413 + 1.37867i
\(636\) −34.5556 −1.37022
\(637\) −25.2347 0.459373i −0.999834 0.0182010i
\(638\) 0.683045 0.0270420
\(639\) −1.86001 + 6.94165i −0.0735809 + 0.274608i
\(640\) −23.0442 13.3046i −0.910903 0.525910i
\(641\) −20.0412 11.5708i −0.791579 0.457018i 0.0489393 0.998802i \(-0.484416\pi\)
−0.840518 + 0.541784i \(0.817749\pi\)
\(642\) −5.04067 1.35064i −0.198939 0.0533056i
\(643\) 11.9385 11.9385i 0.470808 0.470808i −0.431368 0.902176i \(-0.641969\pi\)
0.902176 + 0.431368i \(0.141969\pi\)
\(644\) −15.8976 + 9.20699i −0.626455 + 0.362806i
\(645\) −49.9339 + 49.9339i −1.96614 + 1.96614i
\(646\) 0.883205 + 1.52976i 0.0347492 + 0.0601874i
\(647\) 10.2367 17.7305i 0.402446 0.697056i −0.591575 0.806250i \(-0.701494\pi\)
0.994020 + 0.109194i \(0.0348269\pi\)
\(648\) −6.63919 24.7778i −0.260812 0.973364i
\(649\) 0.636779 + 1.10293i 0.0249958 + 0.0432939i
\(650\) 13.8340 + 4.01830i 0.542615 + 0.157611i
\(651\) 7.80745 + 28.9821i 0.305998 + 1.13590i
\(652\) 7.71589 + 7.71589i 0.302178 + 0.302178i
\(653\) 20.9319 + 36.2552i 0.819130 + 1.41878i 0.906324 + 0.422584i \(0.138877\pi\)
−0.0871932 + 0.996191i \(0.527790\pi\)
\(654\) −13.1547 + 22.7846i −0.514389 + 0.890947i
\(655\) 21.3271 5.71457i 0.833318 0.223287i
\(656\) −3.35642 0.899351i −0.131046 0.0351138i
\(657\) 10.4519 + 10.4519i 0.407766 + 0.407766i
\(658\) −10.5935 + 0.0142221i −0.412977 + 0.000554436i
\(659\) −36.8332 −1.43482 −0.717410 0.696651i \(-0.754672\pi\)
−0.717410 + 0.696651i \(0.754672\pi\)
\(660\) −5.55290 + 3.20597i −0.216146 + 0.124792i
\(661\) 7.01384 1.87935i 0.272807 0.0730983i −0.119822 0.992795i \(-0.538232\pi\)
0.392629 + 0.919697i \(0.371566\pi\)
\(662\) −6.69037 3.86268i −0.260028 0.150128i
\(663\) −11.2553 6.81555i −0.437118 0.264694i
\(664\) 28.1604i 1.09284i
\(665\) −14.8318 + 0.0199122i −0.575152 + 0.000772161i
\(666\) 13.6465 0.528790
\(667\) −7.41911 + 4.28343i −0.287269 + 0.165855i
\(668\) 0.961794 + 3.58947i 0.0372129 + 0.138881i
\(669\) 62.9912 16.8784i 2.43538 0.652558i
\(670\) −4.92248 + 18.3710i −0.190172 + 0.709732i
\(671\) 3.77751 + 3.77751i 0.145829 + 0.145829i
\(672\) 44.6104 12.0175i 1.72088 0.463586i
\(673\) 28.4985i 1.09854i 0.835646 + 0.549269i \(0.185094\pi\)
−0.835646 + 0.549269i \(0.814906\pi\)
\(674\) 24.3701 + 6.52995i 0.938701 + 0.251524i
\(675\) 22.4136 38.8214i 0.862699 1.49424i
\(676\) −15.3544 + 8.02933i −0.590556 + 0.308820i
\(677\) 13.1864 7.61318i 0.506795 0.292598i −0.224720 0.974423i \(-0.572147\pi\)
0.731515 + 0.681825i \(0.238814\pi\)
\(678\) 9.05238 9.05238i 0.347655 0.347655i
\(679\) −2.82500 + 10.5999i −0.108414 + 0.406788i
\(680\) 10.3880i 0.398362i
\(681\) −14.0897 + 52.5837i −0.539920 + 2.01501i
\(682\) −0.405488 1.51330i −0.0155270 0.0579474i
\(683\) −11.1843 41.7404i −0.427956 1.59715i −0.757382 0.652972i \(-0.773522\pi\)
0.329426 0.944182i \(-0.393145\pi\)
\(684\) 3.71803 13.8759i 0.142162 0.530557i
\(685\) 19.5618i 0.747418i
\(686\) 14.6274 + 3.85631i 0.558475 + 0.147235i
\(687\) −9.19373 + 9.19373i −0.350763 + 0.350763i
\(688\) 2.85886 1.65056i 0.108993 0.0629271i
\(689\) −31.0718 0.649093i −1.18374 0.0247285i
\(690\) −20.1265 + 34.8601i −0.766203 + 1.32710i
\(691\) 9.69593 + 2.59802i 0.368851 + 0.0988332i 0.438483 0.898739i \(-0.355516\pi\)
−0.0696323 + 0.997573i \(0.522183\pi\)
\(692\) 2.40416i 0.0913926i
\(693\) 2.09513 7.86134i 0.0795875 0.298628i
\(694\) −6.33827 6.33827i −0.240597 0.240597i
\(695\) 1.56019 5.82270i 0.0591813 0.220868i
\(696\) 13.0056 3.48484i 0.492977 0.132093i
\(697\) −2.46756 9.20905i −0.0934654 0.348818i
\(698\) 14.1644 8.17781i 0.536130 0.309535i
\(699\) −29.7410 −1.12491
\(700\) 14.9504 + 8.60490i 0.565074 + 0.325235i
\(701\) 24.4239i 0.922479i 0.887276 + 0.461239i \(0.152595\pi\)
−0.887276 + 0.461239i \(0.847405\pi\)
\(702\) −6.43898 26.2084i −0.243024 0.989172i
\(703\) 4.26509 + 2.46245i 0.160861 + 0.0928732i
\(704\) −1.89489 + 0.507735i −0.0714164 + 0.0191360i
\(705\) 40.1598 23.1863i 1.51251 0.873246i
\(706\) −15.5806 −0.586384
\(707\) −0.0548847 40.8814i −0.00206415 1.53750i
\(708\) 7.09918 + 7.09918i 0.266804 + 0.266804i
\(709\) −26.8785 7.20208i −1.00944 0.270480i −0.284047 0.958810i \(-0.591677\pi\)
−0.725397 + 0.688330i \(0.758344\pi\)
\(710\) −2.94906 + 0.790199i −0.110676 + 0.0296556i
\(711\) −37.5245 + 64.9943i −1.40728 + 2.43748i
\(712\) 13.2841 + 23.0087i 0.497843 + 0.862289i
\(713\) 13.8944 + 13.8944i 0.520349 + 0.520349i
\(714\) 5.58398 + 5.56901i 0.208975 + 0.208415i
\(715\) −5.05328 + 2.77844i −0.188982 + 0.103908i
\(716\) 11.4043 + 19.7528i 0.426199 + 0.738197i
\(717\) 8.95861 + 33.4340i 0.334565 + 1.24862i
\(718\) −11.4464 + 19.8258i −0.427176 + 0.739890i
\(719\) −6.94803 12.0343i −0.259118 0.448805i 0.706888 0.707325i \(-0.250098\pi\)
−0.966006 + 0.258520i \(0.916765\pi\)
\(720\) −5.94669 + 5.94669i −0.221620 + 0.221620i
\(721\) 40.1299 + 23.0972i 1.49452 + 0.860187i
\(722\) 9.13867 9.13867i 0.340106 0.340106i
\(723\) −42.3426 11.3457i −1.57474 0.421950i
\(724\) 27.0891 + 15.6399i 1.00676 + 0.581251i
\(725\) 6.96627 + 4.02198i 0.258721 + 0.149372i
\(726\) 6.82988 25.4895i 0.253481 0.946003i
\(727\) 14.0631 0.521572 0.260786 0.965397i \(-0.416018\pi\)
0.260786 + 0.965397i \(0.416018\pi\)
\(728\) 25.2102 6.22965i 0.934353 0.230886i
\(729\) 25.7110 0.952259
\(730\) −1.62527 + 6.06560i −0.0601540 + 0.224498i
\(731\) 7.84388 + 4.52866i 0.290116 + 0.167499i
\(732\) 36.4717 + 21.0569i 1.34803 + 0.778287i
\(733\) −21.8735 5.86099i −0.807917 0.216481i −0.168860 0.985640i \(-0.554009\pi\)
−0.639057 + 0.769159i \(0.720675\pi\)
\(734\) −9.65927 + 9.65927i −0.356530 + 0.356530i
\(735\) −63.9159 + 17.3103i −2.35757 + 0.638499i
\(736\) 21.3868 21.3868i 0.788327 0.788327i
\(737\) −1.88252 3.26061i −0.0693434 0.120106i
\(738\) 19.4045 33.6096i 0.714290 1.23719i
\(739\) 0.258550 + 0.964923i 0.00951093 + 0.0354953i 0.970518 0.241028i \(-0.0774845\pi\)
−0.961007 + 0.276523i \(0.910818\pi\)
\(740\) −5.79129 10.0308i −0.212892 0.368740i
\(741\) 5.39180 18.5626i 0.198073 0.681916i
\(742\) 17.9990 + 4.79692i 0.660763 + 0.176100i
\(743\) −7.54553 7.54553i −0.276819 0.276819i 0.555019 0.831838i \(-0.312711\pi\)
−0.831838 + 0.555019i \(0.812711\pi\)
\(744\) −15.4415 26.7455i −0.566114 0.980538i
\(745\) 1.75616 3.04176i 0.0643407 0.111441i
\(746\) 12.9309 3.46481i 0.473433 0.126856i
\(747\) −60.4198 16.1894i −2.21065 0.592341i
\(748\) 0.581519 + 0.581519i 0.0212625 + 0.0212625i
\(749\) −4.87084 2.80347i −0.177976 0.102436i
\(750\) −0.837176 −0.0305693
\(751\) 36.8341 21.2662i 1.34409 0.776013i 0.356689 0.934223i \(-0.383906\pi\)
0.987405 + 0.158210i \(0.0505723\pi\)
\(752\) −2.09390 + 0.561060i −0.0763568 + 0.0204598i
\(753\) −5.98551 3.45573i −0.218124 0.125934i
\(754\) 4.70293 1.15544i 0.171271 0.0420785i
\(755\) 41.4498i 1.50851i
\(756\) −0.0433853 32.3160i −0.00157791 1.17532i
\(757\) 44.6260 1.62196 0.810979 0.585075i \(-0.198935\pi\)
0.810979 + 0.585075i \(0.198935\pi\)
\(758\) −2.81025 + 1.62250i −0.102073 + 0.0589317i
\(759\) −2.06241 7.69702i −0.0748608 0.279384i
\(760\) 14.7406 3.94973i 0.534697 0.143272i
\(761\) −12.2522 + 45.7257i −0.444141 + 1.65756i 0.274054 + 0.961714i \(0.411635\pi\)
−0.718195 + 0.695842i \(0.755032\pi\)
\(762\) 19.8660 + 19.8660i 0.719669 + 0.719669i
\(763\) −20.0080 + 20.0618i −0.724338 + 0.726286i
\(764\) 33.6504i 1.21743i
\(765\) −22.2881 5.97207i −0.805827 0.215921i
\(766\) −15.8370 + 27.4305i −0.572214 + 0.991104i
\(767\) 6.25010 + 6.51680i 0.225678 + 0.235308i
\(768\) −38.0971 + 21.9954i −1.37471 + 0.793689i
\(769\) −17.0724 + 17.0724i −0.615648 + 0.615648i −0.944412 0.328764i \(-0.893368\pi\)
0.328764 + 0.944412i \(0.393368\pi\)
\(770\) 3.33738 0.899052i 0.120271 0.0323996i
\(771\) 54.2915i 1.95526i
\(772\) −1.84212 + 6.87490i −0.0662994 + 0.247433i
\(773\) −10.1986 38.0617i −0.366818 1.36898i −0.864939