Properties

Label 403.2.k.e.66.15
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 66.15
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.767174 + 2.36112i) q^{2} +(0.517972 - 1.59415i) q^{3} +(-3.36829 + 2.44720i) q^{4} +3.20234 q^{5} +4.16136 q^{6} +(-2.60176 + 1.89029i) q^{7} +(-4.34523 - 3.15699i) q^{8} +(0.154019 + 0.111901i) q^{9} +O(q^{10})\) \(q+(0.767174 + 2.36112i) q^{2} +(0.517972 - 1.59415i) q^{3} +(-3.36829 + 2.44720i) q^{4} +3.20234 q^{5} +4.16136 q^{6} +(-2.60176 + 1.89029i) q^{7} +(-4.34523 - 3.15699i) q^{8} +(0.154019 + 0.111901i) q^{9} +(2.45675 + 7.56111i) q^{10} +(0.903159 - 0.656183i) q^{11} +(2.15654 + 6.63715i) q^{12} +(0.309017 - 0.951057i) q^{13} +(-6.45920 - 4.69289i) q^{14} +(1.65872 - 5.10503i) q^{15} +(1.54734 - 4.76223i) q^{16} +(4.43884 + 3.22501i) q^{17} +(-0.146053 + 0.449505i) q^{18} +(1.47675 + 4.54497i) q^{19} +(-10.7864 + 7.83679i) q^{20} +(1.66578 + 5.12673i) q^{21} +(2.24221 + 1.62906i) q^{22} +(-4.73426 - 3.43964i) q^{23} +(-7.28344 + 5.29173i) q^{24} +5.25501 q^{25} +2.48263 q^{26} +(4.32637 - 3.14329i) q^{27} +(4.13756 - 12.7341i) q^{28} +(-2.63854 - 8.12060i) q^{29} +13.3261 q^{30} +(-5.20534 + 1.97596i) q^{31} +1.68928 q^{32} +(-0.578246 - 1.77966i) q^{33} +(-4.20926 + 12.9548i) q^{34} +(-8.33174 + 6.05336i) q^{35} -0.792627 q^{36} +4.97054 q^{37} +(-9.59828 + 6.97356i) q^{38} +(-1.35607 - 0.985241i) q^{39} +(-13.9149 - 10.1098i) q^{40} +(-1.25751 - 3.87020i) q^{41} +(-10.8269 + 7.86618i) q^{42} +(-2.09100 - 6.43544i) q^{43} +(-1.43628 + 4.42043i) q^{44} +(0.493222 + 0.358347i) q^{45} +(4.48940 - 13.8170i) q^{46} +(-0.568737 + 1.75039i) q^{47} +(-6.79025 - 4.93341i) q^{48} +(1.03285 - 3.17878i) q^{49} +(4.03151 + 12.4077i) q^{50} +(7.44036 - 5.40574i) q^{51} +(1.28657 + 3.95966i) q^{52} +(-6.66369 - 4.84145i) q^{53} +(10.7408 + 7.80362i) q^{54} +(2.89223 - 2.10132i) q^{55} +17.2729 q^{56} +8.01030 q^{57} +(17.1495 - 12.4598i) q^{58} +(3.79171 - 11.6697i) q^{59} +(6.90599 + 21.2545i) q^{60} +3.54653 q^{61} +(-8.65887 - 10.7745i) q^{62} -0.612248 q^{63} +(-1.79871 - 5.53587i) q^{64} +(0.989579 - 3.04561i) q^{65} +(3.75837 - 2.73061i) q^{66} -1.79487 q^{67} -22.8436 q^{68} +(-7.93554 + 5.76551i) q^{69} +(-20.6846 - 15.0282i) q^{70} +(1.28754 + 0.935454i) q^{71} +(-0.315976 - 0.972474i) q^{72} +(-0.0280883 + 0.0204074i) q^{73} +(3.81326 + 11.7360i) q^{74} +(2.72195 - 8.37730i) q^{75} +(-16.0966 - 11.6949i) q^{76} +(-1.10943 + 3.41447i) q^{77} +(1.28593 - 3.95769i) q^{78} +(-4.78075 - 3.47342i) q^{79} +(4.95513 - 15.2503i) q^{80} +(-2.59346 - 7.98186i) q^{81} +(8.17328 - 5.93824i) q^{82} +(3.45291 + 10.6270i) q^{83} +(-18.1570 - 13.1918i) q^{84} +(14.2147 + 10.3276i) q^{85} +(13.5907 - 9.87421i) q^{86} -14.3122 q^{87} -5.99599 q^{88} +(10.7589 - 7.81676i) q^{89} +(-0.467712 + 1.43947i) q^{90} +(0.993785 + 3.05856i) q^{91} +24.3639 q^{92} +(0.453754 + 9.32161i) q^{93} -4.56920 q^{94} +(4.72906 + 14.5546i) q^{95} +(0.875002 - 2.69298i) q^{96} +(-12.7754 + 9.28188i) q^{97} +8.29786 q^{98} +0.212532 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.767174 + 2.36112i 0.542474 + 1.66956i 0.726922 + 0.686720i \(0.240950\pi\)
−0.184448 + 0.982842i \(0.559050\pi\)
\(3\) 0.517972 1.59415i 0.299051 0.920385i −0.682779 0.730625i \(-0.739229\pi\)
0.981830 0.189760i \(-0.0607711\pi\)
\(4\) −3.36829 + 2.44720i −1.68414 + 1.22360i
\(5\) 3.20234 1.43213 0.716066 0.698033i \(-0.245941\pi\)
0.716066 + 0.698033i \(0.245941\pi\)
\(6\) 4.16136 1.69887
\(7\) −2.60176 + 1.89029i −0.983374 + 0.714463i −0.958460 0.285227i \(-0.907931\pi\)
−0.0249138 + 0.999690i \(0.507931\pi\)
\(8\) −4.34523 3.15699i −1.53627 1.11617i
\(9\) 0.154019 + 0.111901i 0.0513397 + 0.0373005i
\(10\) 2.45675 + 7.56111i 0.776894 + 2.39103i
\(11\) 0.903159 0.656183i 0.272313 0.197847i −0.443245 0.896401i \(-0.646173\pi\)
0.715557 + 0.698554i \(0.246173\pi\)
\(12\) 2.15654 + 6.63715i 0.622540 + 1.91598i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) −6.45920 4.69289i −1.72630 1.25423i
\(15\) 1.65872 5.10503i 0.428281 1.31811i
\(16\) 1.54734 4.76223i 0.386836 1.19056i
\(17\) 4.43884 + 3.22501i 1.07658 + 0.782180i 0.977083 0.212858i \(-0.0682773\pi\)
0.0994950 + 0.995038i \(0.468277\pi\)
\(18\) −0.146053 + 0.449505i −0.0344250 + 0.105949i
\(19\) 1.47675 + 4.54497i 0.338790 + 1.04269i 0.964825 + 0.262893i \(0.0846765\pi\)
−0.626035 + 0.779795i \(0.715323\pi\)
\(20\) −10.7864 + 7.83679i −2.41192 + 1.75236i
\(21\) 1.66578 + 5.12673i 0.363502 + 1.11874i
\(22\) 2.24221 + 1.62906i 0.478040 + 0.347316i
\(23\) −4.73426 3.43964i −0.987162 0.717216i −0.0278646 0.999612i \(-0.508871\pi\)
−0.959298 + 0.282396i \(0.908871\pi\)
\(24\) −7.28344 + 5.29173i −1.48673 + 1.08017i
\(25\) 5.25501 1.05100
\(26\) 2.48263 0.486883
\(27\) 4.32637 3.14329i 0.832610 0.604927i
\(28\) 4.13756 12.7341i 0.781925 2.40652i
\(29\) −2.63854 8.12060i −0.489965 1.50796i −0.824659 0.565630i \(-0.808633\pi\)
0.334694 0.942327i \(-0.391367\pi\)
\(30\) 13.3261 2.43300
\(31\) −5.20534 + 1.97596i −0.934907 + 0.354892i
\(32\) 1.68928 0.298626
\(33\) −0.578246 1.77966i −0.100660 0.309799i
\(34\) −4.20926 + 12.9548i −0.721883 + 2.22173i
\(35\) −8.33174 + 6.05336i −1.40832 + 1.02321i
\(36\) −0.792627 −0.132104
\(37\) 4.97054 0.817151 0.408576 0.912725i \(-0.366026\pi\)
0.408576 + 0.912725i \(0.366026\pi\)
\(38\) −9.59828 + 6.97356i −1.55705 + 1.13126i
\(39\) −1.35607 0.985241i −0.217145 0.157765i
\(40\) −13.9149 10.1098i −2.20014 1.59850i
\(41\) −1.25751 3.87020i −0.196389 0.604424i −0.999958 0.00921169i \(-0.997068\pi\)
0.803568 0.595213i \(-0.202932\pi\)
\(42\) −10.8269 + 7.86618i −1.67062 + 1.21378i
\(43\) −2.09100 6.43544i −0.318875 0.981396i −0.974130 0.225988i \(-0.927439\pi\)
0.655255 0.755408i \(-0.272561\pi\)
\(44\) −1.43628 + 4.42043i −0.216528 + 0.666405i
\(45\) 0.493222 + 0.358347i 0.0735253 + 0.0534192i
\(46\) 4.48940 13.8170i 0.661926 2.03720i
\(47\) −0.568737 + 1.75039i −0.0829588 + 0.255321i −0.983929 0.178560i \(-0.942856\pi\)
0.900970 + 0.433881i \(0.142856\pi\)
\(48\) −6.79025 4.93341i −0.980089 0.712076i
\(49\) 1.03285 3.17878i 0.147550 0.454112i
\(50\) 4.03151 + 12.4077i 0.570141 + 1.75471i
\(51\) 7.44036 5.40574i 1.04186 0.756955i
\(52\) 1.28657 + 3.95966i 0.178415 + 0.549106i
\(53\) −6.66369 4.84145i −0.915328 0.665025i 0.0270288 0.999635i \(-0.491395\pi\)
−0.942357 + 0.334610i \(0.891395\pi\)
\(54\) 10.7408 + 7.80362i 1.46163 + 1.06194i
\(55\) 2.89223 2.10132i 0.389988 0.283343i
\(56\) 17.2729 2.30819
\(57\) 8.01030 1.06099
\(58\) 17.1495 12.4598i 2.25184 1.63605i
\(59\) 3.79171 11.6697i 0.493639 1.51926i −0.325428 0.945567i \(-0.605508\pi\)
0.819067 0.573698i \(-0.194492\pi\)
\(60\) 6.90599 + 21.2545i 0.891560 + 2.74394i
\(61\) 3.54653 0.454086 0.227043 0.973885i \(-0.427094\pi\)
0.227043 + 0.973885i \(0.427094\pi\)
\(62\) −8.65887 10.7745i −1.09968 1.36837i
\(63\) −0.612248 −0.0771360
\(64\) −1.79871 5.53587i −0.224839 0.691983i
\(65\) 0.989579 3.04561i 0.122742 0.377762i
\(66\) 3.75837 2.73061i 0.462623 0.336115i
\(67\) −1.79487 −0.219279 −0.109639 0.993971i \(-0.534970\pi\)
−0.109639 + 0.993971i \(0.534970\pi\)
\(68\) −22.8436 −2.77019
\(69\) −7.93554 + 5.76551i −0.955327 + 0.694086i
\(70\) −20.6846 15.0282i −2.47228 1.79622i
\(71\) 1.28754 + 0.935454i 0.152803 + 0.111018i 0.661560 0.749892i \(-0.269895\pi\)
−0.508757 + 0.860910i \(0.669895\pi\)
\(72\) −0.315976 0.972474i −0.0372381 0.114607i
\(73\) −0.0280883 + 0.0204074i −0.00328749 + 0.00238850i −0.589428 0.807821i \(-0.700647\pi\)
0.586140 + 0.810210i \(0.300647\pi\)
\(74\) 3.81326 + 11.7360i 0.443283 + 1.36428i
\(75\) 2.72195 8.37730i 0.314304 0.967327i
\(76\) −16.0966 11.6949i −1.84641 1.34149i
\(77\) −1.10943 + 3.41447i −0.126431 + 0.389115i
\(78\) 1.28593 3.95769i 0.145603 0.448120i
\(79\) −4.78075 3.47342i −0.537877 0.390790i 0.285419 0.958403i \(-0.407867\pi\)
−0.823296 + 0.567612i \(0.807867\pi\)
\(80\) 4.95513 15.2503i 0.554000 1.70504i
\(81\) −2.59346 7.98186i −0.288163 0.886873i
\(82\) 8.17328 5.93824i 0.902588 0.655769i
\(83\) 3.45291 + 10.6270i 0.379006 + 1.16646i 0.940736 + 0.339139i \(0.110136\pi\)
−0.561730 + 0.827320i \(0.689864\pi\)
\(84\) −18.1570 13.1918i −1.98109 1.43934i
\(85\) 14.2147 + 10.3276i 1.54180 + 1.12018i
\(86\) 13.5907 9.87421i 1.46552 1.06476i
\(87\) −14.3122 −1.53443
\(88\) −5.99599 −0.639175
\(89\) 10.7589 7.81676i 1.14044 0.828575i 0.153256 0.988186i \(-0.451024\pi\)
0.987180 + 0.159611i \(0.0510240\pi\)
\(90\) −0.467712 + 1.43947i −0.0493012 + 0.151734i
\(91\) 0.993785 + 3.05856i 0.104177 + 0.320624i
\(92\) 24.3639 2.54011
\(93\) 0.453754 + 9.32161i 0.0470521 + 0.966606i
\(94\) −4.56920 −0.471277
\(95\) 4.72906 + 14.5546i 0.485192 + 1.49327i
\(96\) 0.875002 2.69298i 0.0893045 0.274851i
\(97\) −12.7754 + 9.28188i −1.29715 + 0.942432i −0.999923 0.0123763i \(-0.996060\pi\)
−0.297223 + 0.954808i \(0.596060\pi\)
\(98\) 8.29786 0.838210
\(99\) 0.212532 0.0213602
\(100\) −17.7004 + 12.8601i −1.77004 + 1.28601i
\(101\) 12.9038 + 9.37514i 1.28397 + 0.932862i 0.999665 0.0258711i \(-0.00823595\pi\)
0.284309 + 0.958733i \(0.408236\pi\)
\(102\) 18.4716 + 13.4204i 1.82896 + 1.32882i
\(103\) −1.57598 4.85038i −0.155286 0.477922i 0.842904 0.538065i \(-0.180844\pi\)
−0.998190 + 0.0601429i \(0.980844\pi\)
\(104\) −4.34523 + 3.15699i −0.426085 + 0.309569i
\(105\) 5.33439 + 16.4176i 0.520583 + 1.60219i
\(106\) 6.31903 19.4480i 0.613759 1.88896i
\(107\) −0.784092 0.569676i −0.0758011 0.0550727i 0.549239 0.835665i \(-0.314918\pi\)
−0.625040 + 0.780592i \(0.714918\pi\)
\(108\) −6.88018 + 21.1750i −0.662046 + 2.03757i
\(109\) 1.12311 3.45659i 0.107575 0.331081i −0.882751 0.469841i \(-0.844311\pi\)
0.990326 + 0.138759i \(0.0443114\pi\)
\(110\) 7.18031 + 5.21680i 0.684616 + 0.497403i
\(111\) 2.57460 7.92380i 0.244370 0.752094i
\(112\) 4.97619 + 15.3151i 0.470206 + 1.44714i
\(113\) −9.11121 + 6.61968i −0.857111 + 0.622727i −0.927097 0.374821i \(-0.877704\pi\)
0.0699867 + 0.997548i \(0.477704\pi\)
\(114\) 6.14529 + 18.9133i 0.575559 + 1.77139i
\(115\) −15.1607 11.0149i −1.41375 1.02715i
\(116\) 28.7601 + 20.8955i 2.67031 + 1.94010i
\(117\) 0.154019 0.111901i 0.0142391 0.0103453i
\(118\) 30.4624 2.80429
\(119\) −17.6450 −1.61752
\(120\) −23.3241 + 16.9459i −2.12919 + 1.54694i
\(121\) −3.01407 + 9.27635i −0.274006 + 0.843304i
\(122\) 2.72080 + 8.37377i 0.246330 + 0.758125i
\(123\) −6.82105 −0.615034
\(124\) 12.6975 19.3941i 1.14027 1.74164i
\(125\) 0.816635 0.0730420
\(126\) −0.469700 1.44559i −0.0418442 0.128783i
\(127\) −1.64307 + 5.05686i −0.145799 + 0.448723i −0.997113 0.0759334i \(-0.975806\pi\)
0.851314 + 0.524657i \(0.175806\pi\)
\(128\) 14.4242 10.4798i 1.27493 0.926294i
\(129\) −11.3422 −0.998622
\(130\) 7.95022 0.697281
\(131\) 6.99729 5.08383i 0.611356 0.444176i −0.238536 0.971134i \(-0.576667\pi\)
0.849891 + 0.526958i \(0.176667\pi\)
\(132\) 6.30289 + 4.57932i 0.548596 + 0.398578i
\(133\) −12.4335 9.03344i −1.07812 0.783299i
\(134\) −1.37698 4.23791i −0.118953 0.366100i
\(135\) 13.8545 10.0659i 1.19241 0.866335i
\(136\) −9.10646 28.0268i −0.780872 2.40328i
\(137\) 0.231413 0.712216i 0.0197709 0.0608487i −0.940684 0.339283i \(-0.889816\pi\)
0.960455 + 0.278434i \(0.0898155\pi\)
\(138\) −19.7010 14.3136i −1.67706 1.21845i
\(139\) −5.93538 + 18.2672i −0.503432 + 1.54940i 0.299959 + 0.953952i \(0.403027\pi\)
−0.803391 + 0.595452i \(0.796973\pi\)
\(140\) 13.2499 40.7789i 1.11982 3.44645i
\(141\) 2.49581 + 1.81331i 0.210185 + 0.152708i
\(142\) −1.22095 + 3.75769i −0.102460 + 0.315339i
\(143\) −0.344976 1.06173i −0.0288483 0.0887861i
\(144\) 0.771221 0.560325i 0.0642685 0.0466938i
\(145\) −8.44952 26.0050i −0.701695 2.15959i
\(146\) −0.0697328 0.0506639i −0.00577113 0.00419297i
\(147\) −4.53248 3.29304i −0.373833 0.271605i
\(148\) −16.7422 + 12.1639i −1.37620 + 0.999868i
\(149\) 14.8102 1.21330 0.606649 0.794970i \(-0.292513\pi\)
0.606649 + 0.794970i \(0.292513\pi\)
\(150\) 21.8680 1.78551
\(151\) −2.84968 + 2.07041i −0.231904 + 0.168488i −0.697669 0.716421i \(-0.745779\pi\)
0.465765 + 0.884908i \(0.345779\pi\)
\(152\) 7.93162 24.4110i 0.643339 1.97999i
\(153\) 0.322784 + 0.993427i 0.0260955 + 0.0803138i
\(154\) −8.91308 −0.718236
\(155\) −16.6693 + 6.32769i −1.33891 + 0.508252i
\(156\) 6.97872 0.558744
\(157\) −5.28045 16.2515i −0.421425 1.29701i −0.906376 0.422473i \(-0.861162\pi\)
0.484950 0.874542i \(-0.338838\pi\)
\(158\) 4.53349 13.9526i 0.360665 1.11001i
\(159\) −11.1696 + 8.11521i −0.885809 + 0.643578i
\(160\) 5.40967 0.427672
\(161\) 18.8194 1.48317
\(162\) 16.8565 12.2469i 1.32437 0.962211i
\(163\) 20.1157 + 14.6149i 1.57558 + 1.14473i 0.921551 + 0.388257i \(0.126923\pi\)
0.654030 + 0.756469i \(0.273077\pi\)
\(164\) 13.7068 + 9.95859i 1.07032 + 0.777635i
\(165\) −1.85174 5.69908i −0.144158 0.443673i
\(166\) −22.4425 + 16.3054i −1.74188 + 1.26555i
\(167\) −3.80885 11.7224i −0.294737 0.907109i −0.983310 0.181941i \(-0.941762\pi\)
0.688572 0.725168i \(-0.258238\pi\)
\(168\) 8.94687 27.5356i 0.690266 2.12442i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −13.4795 + 41.4857i −1.03383 + 3.18181i
\(171\) −0.281141 + 0.865263i −0.0214994 + 0.0661683i
\(172\) 22.7919 + 16.5593i 1.73787 + 1.26264i
\(173\) 7.63956 23.5121i 0.580825 1.78759i −0.0346024 0.999401i \(-0.511016\pi\)
0.615427 0.788194i \(-0.288984\pi\)
\(174\) −10.9799 33.7927i −0.832386 2.56182i
\(175\) −13.6723 + 9.93350i −1.03353 + 0.750902i
\(176\) −1.72740 5.31639i −0.130208 0.400738i
\(177\) −16.6393 12.0891i −1.25069 0.908676i
\(178\) 26.7102 + 19.4061i 2.00201 + 1.45455i
\(179\) −17.0777 + 12.4077i −1.27645 + 0.927395i −0.999440 0.0334715i \(-0.989344\pi\)
−0.277011 + 0.960867i \(0.589344\pi\)
\(180\) −2.53826 −0.189191
\(181\) −7.66785 −0.569947 −0.284973 0.958535i \(-0.591985\pi\)
−0.284973 + 0.958535i \(0.591985\pi\)
\(182\) −6.45920 + 4.69289i −0.478788 + 0.347860i
\(183\) 1.83700 5.65371i 0.135795 0.417934i
\(184\) 9.71252 + 29.8921i 0.716017 + 2.20367i
\(185\) 15.9174 1.17027
\(186\) −21.6613 + 8.22266i −1.58828 + 0.602915i
\(187\) 6.12518 0.447917
\(188\) −2.36790 7.28764i −0.172697 0.531506i
\(189\) −5.31445 + 16.3562i −0.386570 + 1.18974i
\(190\) −30.7370 + 22.3317i −2.22990 + 1.62012i
\(191\) −25.3126 −1.83156 −0.915779 0.401682i \(-0.868426\pi\)
−0.915779 + 0.401682i \(0.868426\pi\)
\(192\) −9.75671 −0.704130
\(193\) −11.6461 + 8.46138i −0.838304 + 0.609063i −0.921896 0.387437i \(-0.873361\pi\)
0.0835926 + 0.996500i \(0.473361\pi\)
\(194\) −31.7166 23.0434i −2.27712 1.65442i
\(195\) −4.34260 3.15508i −0.310980 0.225940i
\(196\) 4.30020 + 13.2347i 0.307157 + 0.945332i
\(197\) −0.391505 + 0.284445i −0.0278936 + 0.0202659i −0.601645 0.798764i \(-0.705488\pi\)
0.573751 + 0.819030i \(0.305488\pi\)
\(198\) 0.163049 + 0.501812i 0.0115874 + 0.0356622i
\(199\) 5.48135 16.8699i 0.388563 1.19587i −0.545300 0.838241i \(-0.683584\pi\)
0.933863 0.357632i \(-0.116416\pi\)
\(200\) −22.8342 16.5900i −1.61462 1.17309i
\(201\) −0.929695 + 2.86131i −0.0655756 + 0.201821i
\(202\) −12.2364 + 37.6597i −0.860949 + 2.64973i
\(203\) 22.2152 + 16.1403i 1.55920 + 1.13282i
\(204\) −11.8323 + 36.4162i −0.828429 + 2.54964i
\(205\) −4.02697 12.3937i −0.281256 0.865616i
\(206\) 10.2433 7.44216i 0.713681 0.518520i
\(207\) −0.344266 1.05954i −0.0239282 0.0736433i
\(208\) −4.05100 2.94322i −0.280886 0.204076i
\(209\) 4.31607 + 3.13581i 0.298549 + 0.216908i
\(210\) −34.6714 + 25.1902i −2.39255 + 1.73829i
\(211\) 13.0304 0.897050 0.448525 0.893770i \(-0.351950\pi\)
0.448525 + 0.893770i \(0.351950\pi\)
\(212\) 34.2932 2.35527
\(213\) 2.15817 1.56800i 0.147875 0.107438i
\(214\) 0.743538 2.28838i 0.0508272 0.156430i
\(215\) −6.69611 20.6085i −0.456671 1.40549i
\(216\) −28.7224 −1.95431
\(217\) 9.80794 14.9806i 0.665806 1.01695i
\(218\) 9.02304 0.611118
\(219\) 0.0179835 + 0.0553476i 0.00121521 + 0.00374004i
\(220\) −4.59948 + 14.1557i −0.310097 + 0.954379i
\(221\) 4.43884 3.22501i 0.298589 0.216938i
\(222\) 20.6842 1.38823
\(223\) −11.5636 −0.774356 −0.387178 0.922005i \(-0.626550\pi\)
−0.387178 + 0.922005i \(0.626550\pi\)
\(224\) −4.39512 + 3.19324i −0.293661 + 0.213357i
\(225\) 0.809372 + 0.588043i 0.0539582 + 0.0392029i
\(226\) −22.6197 16.4342i −1.50464 1.09319i
\(227\) −0.499447 1.53714i −0.0331495 0.102024i 0.933113 0.359584i \(-0.117081\pi\)
−0.966262 + 0.257560i \(0.917081\pi\)
\(228\) −26.9810 + 19.6028i −1.78686 + 1.29823i
\(229\) −0.900770 2.77229i −0.0595246 0.183198i 0.916873 0.399179i \(-0.130705\pi\)
−0.976397 + 0.215982i \(0.930705\pi\)
\(230\) 14.3766 44.2467i 0.947966 2.91754i
\(231\) 4.86853 + 3.53720i 0.320326 + 0.232730i
\(232\) −14.1716 + 43.6157i −0.930411 + 2.86351i
\(233\) −8.31984 + 25.6058i −0.545051 + 1.67749i 0.175819 + 0.984422i \(0.443743\pi\)
−0.720870 + 0.693071i \(0.756257\pi\)
\(234\) 0.382372 + 0.277810i 0.0249964 + 0.0181610i
\(235\) −1.82129 + 5.60536i −0.118808 + 0.365653i
\(236\) 15.7865 + 48.5860i 1.02762 + 3.16268i
\(237\) −8.01346 + 5.82212i −0.520530 + 0.378187i
\(238\) −13.5368 41.6620i −0.877461 2.70055i
\(239\) 12.5521 + 9.11960i 0.811925 + 0.589898i 0.914388 0.404839i \(-0.132672\pi\)
−0.102463 + 0.994737i \(0.532672\pi\)
\(240\) −21.7447 15.7985i −1.40362 1.01979i
\(241\) −3.48538 + 2.53228i −0.224513 + 0.163118i −0.694356 0.719632i \(-0.744311\pi\)
0.469843 + 0.882750i \(0.344311\pi\)
\(242\) −24.2149 −1.55659
\(243\) 1.97541 0.126723
\(244\) −11.9457 + 8.67908i −0.764747 + 0.555621i
\(245\) 3.30754 10.1796i 0.211311 0.650348i
\(246\) −5.23293 16.1053i −0.333640 1.02684i
\(247\) 4.77886 0.304072
\(248\) 28.8565 + 7.84726i 1.83239 + 0.498301i
\(249\) 18.7295 1.18693
\(250\) 0.626501 + 1.92817i 0.0396234 + 0.121948i
\(251\) −7.67182 + 23.6114i −0.484241 + 1.49034i 0.348836 + 0.937184i \(0.386577\pi\)
−0.833077 + 0.553157i \(0.813423\pi\)
\(252\) 2.06223 1.49830i 0.129908 0.0943837i
\(253\) −6.53283 −0.410715
\(254\) −13.2004 −0.828264
\(255\) 23.8266 17.3110i 1.49208 1.08406i
\(256\) 26.3918 + 19.1748i 1.64949 + 1.19842i
\(257\) −1.76666 1.28355i −0.110201 0.0800657i 0.531320 0.847171i \(-0.321696\pi\)
−0.641521 + 0.767106i \(0.721696\pi\)
\(258\) −8.70141 26.7802i −0.541726 1.66726i
\(259\) −12.9322 + 9.39576i −0.803565 + 0.583824i
\(260\) 4.12005 + 12.6802i 0.255514 + 0.786392i
\(261\) 0.502321 1.54598i 0.0310929 0.0956940i
\(262\) 17.3716 + 12.6212i 1.07322 + 0.779743i
\(263\) −0.594280 + 1.82900i −0.0366449 + 0.112781i −0.967706 0.252083i \(-0.918885\pi\)
0.931061 + 0.364864i \(0.118885\pi\)
\(264\) −3.10576 + 9.55854i −0.191146 + 0.588287i
\(265\) −21.3394 15.5040i −1.31087 0.952403i
\(266\) 11.7904 36.2871i 0.722915 2.22491i
\(267\) −6.88834 21.2001i −0.421560 1.29743i
\(268\) 6.04565 4.39243i 0.369297 0.268310i
\(269\) 7.67560 + 23.6231i 0.467990 + 1.44032i 0.855183 + 0.518326i \(0.173445\pi\)
−0.387193 + 0.921999i \(0.626555\pi\)
\(270\) 34.3956 + 24.9899i 2.09325 + 1.52084i
\(271\) 0.0533848 + 0.0387863i 0.00324289 + 0.00235610i 0.589406 0.807837i \(-0.299362\pi\)
−0.586163 + 0.810193i \(0.699362\pi\)
\(272\) 22.2267 16.1486i 1.34769 0.979154i
\(273\) 5.39056 0.326252
\(274\) 1.85916 0.112316
\(275\) 4.74611 3.44825i 0.286201 0.207937i
\(276\) 12.6198 38.8398i 0.759623 2.33788i
\(277\) −0.0798580 0.245778i −0.00479820 0.0147674i 0.948629 0.316391i \(-0.102471\pi\)
−0.953427 + 0.301624i \(0.902471\pi\)
\(278\) −47.6845 −2.85993
\(279\) −1.02283 0.278151i −0.0612355 0.0166524i
\(280\) 55.3137 3.30563
\(281\) −0.560185 1.72407i −0.0334178 0.102850i 0.932956 0.359990i \(-0.117220\pi\)
−0.966374 + 0.257140i \(0.917220\pi\)
\(282\) −2.36672 + 7.28401i −0.140936 + 0.433757i
\(283\) −2.40054 + 1.74409i −0.142697 + 0.103675i −0.656843 0.754027i \(-0.728109\pi\)
0.514146 + 0.857702i \(0.328109\pi\)
\(284\) −6.62606 −0.393184
\(285\) 25.6517 1.51948
\(286\) 2.24221 1.62906i 0.132584 0.0963282i
\(287\) 10.5875 + 7.69230i 0.624963 + 0.454062i
\(288\) 0.260182 + 0.189033i 0.0153314 + 0.0111389i
\(289\) 4.04937 + 12.4627i 0.238198 + 0.733099i
\(290\) 54.9185 39.9006i 3.22493 2.34305i
\(291\) 8.17944 + 25.1737i 0.479487 + 1.47571i
\(292\) 0.0446686 0.137476i 0.00261403 0.00804516i
\(293\) 6.16974 + 4.48258i 0.360440 + 0.261875i 0.753236 0.657751i \(-0.228492\pi\)
−0.392796 + 0.919626i \(0.628492\pi\)
\(294\) 4.29806 13.2281i 0.250668 0.771476i
\(295\) 12.1424 37.3704i 0.706956 2.17579i
\(296\) −21.5981 15.6919i −1.25536 0.912076i
\(297\) 1.84482 5.67778i 0.107048 0.329458i
\(298\) 11.3620 + 34.9686i 0.658182 + 2.02568i
\(299\) −4.73426 + 3.43964i −0.273790 + 0.198920i
\(300\) 11.3327 + 34.8783i 0.654291 + 2.01370i
\(301\) 17.6052 + 12.7909i 1.01474 + 0.737255i
\(302\) −7.07469 5.14006i −0.407103 0.295777i
\(303\) 21.6292 15.7145i 1.24257 0.902777i
\(304\) 23.9292 1.37244
\(305\) 11.3572 0.650312
\(306\) −2.09797 + 1.52426i −0.119933 + 0.0871362i
\(307\) −1.61851 + 4.98127i −0.0923735 + 0.284296i −0.986560 0.163398i \(-0.947755\pi\)
0.894187 + 0.447694i \(0.147755\pi\)
\(308\) −4.61903 14.2159i −0.263193 0.810026i
\(309\) −8.54856 −0.486311
\(310\) −27.7287 34.5038i −1.57488 1.95968i
\(311\) 30.8613 1.74998 0.874991 0.484138i \(-0.160867\pi\)
0.874991 + 0.484138i \(0.160867\pi\)
\(312\) 2.78203 + 8.56219i 0.157501 + 0.484739i
\(313\) 0.895131 2.75493i 0.0505958 0.155718i −0.922566 0.385839i \(-0.873912\pi\)
0.973162 + 0.230121i \(0.0739121\pi\)
\(314\) 34.3208 24.9355i 1.93683 1.40719i
\(315\) −1.96063 −0.110469
\(316\) 24.6031 1.38403
\(317\) −14.6373 + 10.6346i −0.822113 + 0.597300i −0.917317 0.398158i \(-0.869650\pi\)
0.0952040 + 0.995458i \(0.469650\pi\)
\(318\) −27.7300 20.1470i −1.55502 1.12979i
\(319\) −7.71162 5.60282i −0.431768 0.313698i
\(320\) −5.76010 17.7278i −0.321999 0.991012i
\(321\) −1.31429 + 0.954887i −0.0733565 + 0.0532966i
\(322\) 14.4377 + 44.4347i 0.804583 + 2.47625i
\(323\) −8.10250 + 24.9369i −0.450835 + 1.38753i
\(324\) 28.2688 + 20.5385i 1.57049 + 1.14103i
\(325\) 1.62389 4.99781i 0.0900771 0.277229i
\(326\) −19.0753 + 58.7076i −1.05648 + 3.25151i
\(327\) −4.92860 3.58084i −0.272552 0.198021i
\(328\) −6.75406 + 20.7869i −0.372930 + 1.14776i
\(329\) −1.82903 5.62918i −0.100838 0.310347i
\(330\) 12.0356 8.74437i 0.662537 0.481362i
\(331\) −2.79188 8.59253i −0.153456 0.472288i 0.844545 0.535484i \(-0.179871\pi\)
−0.998001 + 0.0631959i \(0.979871\pi\)
\(332\) −37.6367 27.3447i −2.06558 1.50073i
\(333\) 0.765558 + 0.556210i 0.0419523 + 0.0304801i
\(334\) 24.7560 17.9863i 1.35459 0.984165i
\(335\) −5.74781 −0.314036
\(336\) 26.9922 1.47255
\(337\) −9.51826 + 6.91542i −0.518492 + 0.376707i −0.816036 0.578002i \(-0.803833\pi\)
0.297543 + 0.954708i \(0.403833\pi\)
\(338\) 0.767174 2.36112i 0.0417287 0.128428i
\(339\) 5.83344 + 17.9535i 0.316829 + 0.975099i
\(340\) −73.1530 −3.96728
\(341\) −3.40466 + 5.20026i −0.184373 + 0.281610i
\(342\) −2.25867 −0.122135
\(343\) −3.63490 11.1871i −0.196266 0.604045i
\(344\) −11.2308 + 34.5647i −0.605522 + 1.86361i
\(345\) −25.4123 + 18.4631i −1.36815 + 0.994022i
\(346\) 61.3758 3.29958
\(347\) 15.7148 0.843616 0.421808 0.906685i \(-0.361396\pi\)
0.421808 + 0.906685i \(0.361396\pi\)
\(348\) 48.2075 35.0248i 2.58419 1.87753i
\(349\) 18.1255 + 13.1689i 0.970235 + 0.704917i 0.955505 0.294974i \(-0.0953111\pi\)
0.0147302 + 0.999892i \(0.495311\pi\)
\(350\) −33.9432 24.6612i −1.81434 1.31820i
\(351\) −1.65253 5.08595i −0.0882053 0.271468i
\(352\) 1.52569 1.10848i 0.0813196 0.0590822i
\(353\) 1.06285 + 3.27111i 0.0565697 + 0.174104i 0.975349 0.220668i \(-0.0708237\pi\)
−0.918779 + 0.394772i \(0.870824\pi\)
\(354\) 15.7787 48.5618i 0.838627 2.58103i
\(355\) 4.12315 + 2.99565i 0.218834 + 0.158992i
\(356\) −17.1097 + 52.6582i −0.906812 + 2.79088i
\(357\) −9.13963 + 28.1289i −0.483721 + 1.48874i
\(358\) −42.3976 30.8037i −2.24079 1.62803i
\(359\) −5.34600 + 16.4533i −0.282151 + 0.868372i 0.705087 + 0.709121i \(0.250908\pi\)
−0.987238 + 0.159251i \(0.949092\pi\)
\(360\) −1.01186 3.11420i −0.0533299 0.164133i
\(361\) −3.10463 + 2.25564i −0.163401 + 0.118718i
\(362\) −5.88257 18.1047i −0.309181 0.951561i
\(363\) 13.2267 + 9.60978i 0.694223 + 0.504382i
\(364\) −10.8323 7.87010i −0.567765 0.412505i
\(365\) −0.0899485 + 0.0653514i −0.00470812 + 0.00342065i
\(366\) 14.7584 0.771433
\(367\) −14.7513 −0.770010 −0.385005 0.922915i \(-0.625800\pi\)
−0.385005 + 0.922915i \(0.625800\pi\)
\(368\) −23.7059 + 17.2234i −1.23576 + 0.897830i
\(369\) 0.239402 0.736802i 0.0124627 0.0383564i
\(370\) 12.2114 + 37.5828i 0.634840 + 1.95384i
\(371\) 26.4891 1.37525
\(372\) −24.3403 30.2874i −1.26198 1.57033i
\(373\) −10.5984 −0.548763 −0.274382 0.961621i \(-0.588473\pi\)
−0.274382 + 0.961621i \(0.588473\pi\)
\(374\) 4.69908 + 14.4623i 0.242983 + 0.747826i
\(375\) 0.422994 1.30184i 0.0218433 0.0672268i
\(376\) 7.99727 5.81035i 0.412427 0.299646i
\(377\) −8.53850 −0.439755
\(378\) −42.6960 −2.19605
\(379\) 20.5184 14.9075i 1.05396 0.765747i 0.0809986 0.996714i \(-0.474189\pi\)
0.972961 + 0.230967i \(0.0741891\pi\)
\(380\) −51.5468 37.4510i −2.64430 1.92119i
\(381\) 7.21034 + 5.23862i 0.369397 + 0.268383i
\(382\) −19.4192 59.7661i −0.993572 3.05790i
\(383\) −19.8588 + 14.4283i −1.01474 + 0.737250i −0.965198 0.261522i \(-0.915776\pi\)
−0.0495404 + 0.998772i \(0.515776\pi\)
\(384\) −9.23509 28.4227i −0.471276 1.45044i
\(385\) −3.55277 + 10.9343i −0.181066 + 0.557263i
\(386\) −28.9129 21.0064i −1.47163 1.06920i
\(387\) 0.398081 1.22517i 0.0202356 0.0622788i
\(388\) 20.3166 62.5281i 1.03142 3.17438i
\(389\) 8.15741 + 5.92670i 0.413597 + 0.300496i 0.775056 0.631892i \(-0.217721\pi\)
−0.361459 + 0.932388i \(0.617721\pi\)
\(390\) 4.11799 12.6739i 0.208523 0.641767i
\(391\) −9.92178 30.5361i −0.501766 1.54428i
\(392\) −14.5234 + 10.5518i −0.733540 + 0.532948i
\(393\) −4.48000 13.7880i −0.225986 0.695514i
\(394\) −0.971960 0.706170i −0.0489666 0.0355763i
\(395\) −15.3096 11.1231i −0.770310 0.559663i
\(396\) −0.715868 + 0.520108i −0.0359737 + 0.0261364i
\(397\) 4.20130 0.210857 0.105429 0.994427i \(-0.466379\pi\)
0.105429 + 0.994427i \(0.466379\pi\)
\(398\) 44.0369 2.20737
\(399\) −20.8409 + 15.1418i −1.04335 + 0.758038i
\(400\) 8.13131 25.0256i 0.406565 1.25128i
\(401\) 4.91880 + 15.1385i 0.245633 + 0.755980i 0.995532 + 0.0944278i \(0.0301022\pi\)
−0.749899 + 0.661553i \(0.769898\pi\)
\(402\) −7.46912 −0.372526
\(403\) 0.270705 + 5.56118i 0.0134848 + 0.277022i
\(404\) −66.4065 −3.30385
\(405\) −8.30516 25.5607i −0.412687 1.27012i
\(406\) −21.0662 + 64.8350i −1.04550 + 3.21771i
\(407\) 4.48918 3.26158i 0.222521 0.161671i
\(408\) −49.3959 −2.44546
\(409\) 12.5214 0.619144 0.309572 0.950876i \(-0.399814\pi\)
0.309572 + 0.950876i \(0.399814\pi\)
\(410\) 26.1737 19.0163i 1.29263 0.939147i
\(411\) −1.01552 0.737816i −0.0500917 0.0363938i
\(412\) 17.1782 + 12.4807i 0.846310 + 0.614880i
\(413\) 12.1940 + 37.5292i 0.600026 + 1.84669i
\(414\) 2.23759 1.62571i 0.109972 0.0798991i
\(415\) 11.0574 + 34.0312i 0.542786 + 1.67052i
\(416\) 0.522018 1.60660i 0.0255940 0.0787703i
\(417\) 26.0464 + 18.9238i 1.27550 + 0.926703i
\(418\) −4.09284 + 12.5965i −0.200187 + 0.616113i
\(419\) 7.46274 22.9680i 0.364579 1.12206i −0.585666 0.810553i \(-0.699167\pi\)
0.950244 0.311505i \(-0.100833\pi\)
\(420\) −58.1449 42.2447i −2.83718 2.06133i
\(421\) −2.43546 + 7.49559i −0.118697 + 0.365313i −0.992700 0.120608i \(-0.961516\pi\)
0.874003 + 0.485921i \(0.161516\pi\)
\(422\) 9.99658 + 30.7663i 0.486626 + 1.49768i
\(423\) −0.283468 + 0.205951i −0.0137827 + 0.0100137i
\(424\) 13.6708 + 42.0744i 0.663913 + 2.04331i
\(425\) 23.3262 + 16.9475i 1.13149 + 0.822073i
\(426\) 5.35793 + 3.89276i 0.259592 + 0.188605i
\(427\) −9.22722 + 6.70397i −0.446537 + 0.324428i
\(428\) 4.03516 0.195047
\(429\) −1.87124 −0.0903445
\(430\) 43.5220 31.6206i 2.09882 1.52488i
\(431\) 1.15927 3.56788i 0.0558403 0.171859i −0.919246 0.393682i \(-0.871201\pi\)
0.975087 + 0.221824i \(0.0712010\pi\)
\(432\) −8.27471 25.4669i −0.398117 1.22528i
\(433\) −39.0709 −1.87763 −0.938813 0.344427i \(-0.888073\pi\)
−0.938813 + 0.344427i \(0.888073\pi\)
\(434\) 42.8953 + 11.6650i 2.05904 + 0.559937i
\(435\) −45.8325 −2.19750
\(436\) 4.67601 + 14.3913i 0.223940 + 0.689218i
\(437\) 8.64175 26.5966i 0.413391 1.27229i
\(438\) −0.116886 + 0.0849224i −0.00558501 + 0.00405775i
\(439\) 35.7959 1.70845 0.854223 0.519907i \(-0.174033\pi\)
0.854223 + 0.519907i \(0.174033\pi\)
\(440\) −19.2012 −0.915383
\(441\) 0.514789 0.374016i 0.0245138 0.0178103i
\(442\) 11.0200 + 8.00649i 0.524168 + 0.380830i
\(443\) −13.2172 9.60283i −0.627966 0.456244i 0.227729 0.973725i \(-0.426870\pi\)
−0.855695 + 0.517480i \(0.826870\pi\)
\(444\) 10.7192 + 32.9902i 0.508709 + 1.56565i
\(445\) 34.4536 25.0320i 1.63326 1.18663i
\(446\) −8.87129 27.3030i −0.420068 1.29284i
\(447\) 7.67126 23.6097i 0.362838 1.11670i
\(448\) 15.1442 + 11.0029i 0.715497 + 0.519839i
\(449\) 7.22326 22.2309i 0.340887 1.04914i −0.622862 0.782332i \(-0.714030\pi\)
0.963749 0.266810i \(-0.0859697\pi\)
\(450\) −0.767511 + 2.36216i −0.0361808 + 0.111353i
\(451\) −3.67529 2.67025i −0.173063 0.125737i
\(452\) 14.4895 44.5940i 0.681527 2.09753i
\(453\) 1.82450 + 5.61524i 0.0857226 + 0.263827i
\(454\) 3.24621 2.35851i 0.152352 0.110690i
\(455\) 3.18244 + 9.79455i 0.149195 + 0.459176i
\(456\) −34.8065 25.2884i −1.62997 1.18424i
\(457\) 21.5200 + 15.6352i 1.00666 + 0.731382i 0.963506 0.267686i \(-0.0862590\pi\)
0.0431551 + 0.999068i \(0.486259\pi\)
\(458\) 5.85464 4.25365i 0.273570 0.198760i
\(459\) 29.3412 1.36953
\(460\) 78.0216 3.63777
\(461\) 1.79010 1.30059i 0.0833734 0.0605743i −0.545318 0.838229i \(-0.683591\pi\)
0.628691 + 0.777655i \(0.283591\pi\)
\(462\) −4.61673 + 14.2088i −0.214790 + 0.661054i
\(463\) −8.17468 25.1591i −0.379909 1.16924i −0.940106 0.340882i \(-0.889274\pi\)
0.560197 0.828360i \(-0.310726\pi\)
\(464\) −42.7549 −1.98485
\(465\) 1.45308 + 29.8510i 0.0673848 + 1.38431i
\(466\) −66.8411 −3.09636
\(467\) 4.46669 + 13.7471i 0.206694 + 0.636139i 0.999640 + 0.0268462i \(0.00854644\pi\)
−0.792946 + 0.609292i \(0.791454\pi\)
\(468\) −0.244935 + 0.753833i −0.0113221 + 0.0348459i
\(469\) 4.66984 3.39284i 0.215633 0.156667i
\(470\) −14.6322 −0.674931
\(471\) −28.6426 −1.31978
\(472\) −53.3170 + 38.7370i −2.45411 + 1.78302i
\(473\) −6.11134 4.44015i −0.281000 0.204158i
\(474\) −19.8944 14.4542i −0.913782 0.663901i
\(475\) 7.76034 + 23.8839i 0.356069 + 1.09587i
\(476\) 59.4335 43.1810i 2.72413 1.97920i
\(477\) −0.484570 1.49135i −0.0221869 0.0682844i
\(478\) −11.9028 + 36.6332i −0.544423 + 1.67556i
\(479\) −4.83452 3.51248i −0.220895 0.160489i 0.471835 0.881687i \(-0.343592\pi\)
−0.692729 + 0.721198i \(0.743592\pi\)
\(480\) 2.80206 8.62385i 0.127896 0.393623i
\(481\) 1.53598 4.72726i 0.0700347 0.215545i
\(482\) −8.65291 6.28670i −0.394129 0.286352i
\(483\) 9.74790 30.0010i 0.443545 1.36509i
\(484\) −12.5489 38.6214i −0.570403 1.75552i
\(485\) −40.9113 + 29.7238i −1.85768 + 1.34969i
\(486\) 1.51549 + 4.66419i 0.0687438 + 0.211572i
\(487\) −7.90774 5.74531i −0.358334 0.260345i 0.394023 0.919101i \(-0.371083\pi\)
−0.752357 + 0.658756i \(0.771083\pi\)
\(488\) −15.4105 11.1964i −0.697599 0.506835i
\(489\) 33.7177 24.4974i 1.52477 1.10781i
\(490\) 26.5726 1.20043
\(491\) −11.2906 −0.509537 −0.254769 0.967002i \(-0.581999\pi\)
−0.254769 + 0.967002i \(0.581999\pi\)
\(492\) 22.9753 16.6925i 1.03581 0.752557i
\(493\) 14.4769 44.5554i 0.652008 2.00667i
\(494\) 3.66622 + 11.2835i 0.164951 + 0.507667i
\(495\) 0.680599 0.0305907
\(496\) 1.35550 + 27.8465i 0.0608640 + 1.25035i
\(497\) −5.11816 −0.229581
\(498\) 14.3688 + 44.2226i 0.643881 + 1.98166i
\(499\) 6.26012 19.2667i 0.280242 0.862495i −0.707543 0.706670i \(-0.750197\pi\)
0.987785 0.155825i \(-0.0498035\pi\)
\(500\) −2.75066 + 1.99847i −0.123013 + 0.0893744i
\(501\) −20.6602 −0.923031
\(502\) −61.6350 −2.75091
\(503\) 13.8933 10.0941i 0.619472 0.450073i −0.233265 0.972413i \(-0.574941\pi\)
0.852737 + 0.522340i \(0.174941\pi\)
\(504\) 2.66035 + 1.93286i 0.118502 + 0.0860965i
\(505\) 41.3223 + 30.0224i 1.83882 + 1.33598i
\(506\) −5.01182 15.4248i −0.222802 0.685715i
\(507\) −1.35607 + 0.985241i −0.0602251 + 0.0437561i
\(508\) −6.84082 21.0539i −0.303512 0.934115i
\(509\) 2.04959 6.30799i 0.0908464 0.279597i −0.895303 0.445459i \(-0.853041\pi\)
0.986149 + 0.165862i \(0.0530407\pi\)
\(510\) 59.1525 + 42.9768i 2.61932 + 1.90305i
\(511\) 0.0345033 0.106190i 0.00152634 0.00469758i
\(512\) −14.0076 + 43.1111i −0.619056 + 1.90526i
\(513\) 20.6751 + 15.0214i 0.912829 + 0.663209i
\(514\) 1.67528 5.15599i 0.0738935 0.227421i
\(515\) −5.04684 15.5326i −0.222390 0.684447i
\(516\) 38.2037 27.7566i 1.68182 1.22192i
\(517\) 0.634918 + 1.95408i 0.0279237 + 0.0859402i
\(518\) −32.1057 23.3262i −1.41064 1.02489i
\(519\) −33.5249 24.3573i −1.47158 1.06917i
\(520\) −13.9149 + 10.1098i −0.610209 + 0.443343i
\(521\) −41.4508 −1.81599 −0.907995 0.418981i \(-0.862388\pi\)
−0.907995 + 0.418981i \(0.862388\pi\)
\(522\) 4.03562 0.176634
\(523\) 18.8897 13.7241i 0.825987 0.600115i −0.0924342 0.995719i \(-0.529465\pi\)
0.918421 + 0.395604i \(0.129465\pi\)
\(524\) −11.1277 + 34.2476i −0.486116 + 1.49611i
\(525\) 8.75367 + 26.9410i 0.382041 + 1.17580i
\(526\) −4.77441 −0.208174
\(527\) −29.4782 8.01633i −1.28409 0.349197i
\(528\) −9.36989 −0.407772
\(529\) 3.47472 + 10.6941i 0.151075 + 0.464960i
\(530\) 20.2357 62.2792i 0.878984 2.70523i
\(531\) 1.88985 1.37306i 0.0820126 0.0595856i
\(532\) 63.9862 2.77415
\(533\) −4.06937 −0.176264
\(534\) 44.7715 32.5284i 1.93745 1.40764i
\(535\) −2.51093 1.82430i −0.108557 0.0788714i
\(536\) 7.79914 + 5.66640i 0.336871 + 0.244751i
\(537\) 10.9340 + 33.6514i 0.471837 + 1.45216i
\(538\) −49.8884 + 36.2460i −2.15084 + 1.56268i
\(539\) −1.15304 3.54868i −0.0496648 0.152853i
\(540\) −22.0327 + 67.8097i −0.948137 + 2.91807i
\(541\) 6.18280 + 4.49207i 0.265819 + 0.193129i 0.712709 0.701460i \(-0.247468\pi\)
−0.446889 + 0.894589i \(0.647468\pi\)
\(542\) −0.0506237 + 0.155804i −0.00217447 + 0.00669234i
\(543\) −3.97173 + 12.2237i −0.170443 + 0.524570i
\(544\) 7.49847 + 5.44796i 0.321494 + 0.233579i
\(545\) 3.59660 11.0692i 0.154061 0.474152i
\(546\) 4.13550 + 12.7278i 0.176983 + 0.544697i
\(547\) 24.5292 17.8215i 1.04879 0.761993i 0.0768103 0.997046i \(-0.475526\pi\)
0.971983 + 0.235053i \(0.0755264\pi\)
\(548\) 0.963473 + 2.96526i 0.0411575 + 0.126670i
\(549\) 0.546233 + 0.396862i 0.0233127 + 0.0169376i
\(550\) 11.7828 + 8.56072i 0.502421 + 0.365030i
\(551\) 33.0114 23.9842i 1.40633 1.02176i
\(552\) 52.6834 2.24235
\(553\) 19.0042 0.808139
\(554\) 0.519045 0.377108i 0.0220521 0.0160218i
\(555\) 8.24475 25.3747i 0.349970 1.07710i
\(556\) −24.7115 76.0543i −1.04800 3.22542i
\(557\) 41.5489 1.76048 0.880242 0.474525i \(-0.157380\pi\)
0.880242 + 0.474525i \(0.157380\pi\)
\(558\) −0.127946 2.62842i −0.00541637 0.111270i
\(559\) −6.76663 −0.286198
\(560\) 15.9355 + 49.0443i 0.673396 + 2.07250i
\(561\) 3.17267 9.76448i 0.133950 0.412257i
\(562\) 3.64098 2.64533i 0.153585 0.111586i
\(563\) −37.9883 −1.60101 −0.800507 0.599323i \(-0.795437\pi\)
−0.800507 + 0.599323i \(0.795437\pi\)
\(564\) −12.8441 −0.540835
\(565\) −29.1772 + 21.1985i −1.22750 + 0.891828i
\(566\) −5.95963 4.32993i −0.250502 0.182000i
\(567\) 21.8356 + 15.8645i 0.917009 + 0.666246i
\(568\) −2.64144 8.12952i −0.110832 0.341107i
\(569\) 35.0631 25.4748i 1.46992 1.06796i 0.489285 0.872124i \(-0.337258\pi\)
0.980637 0.195837i \(-0.0627423\pi\)
\(570\) 19.6793 + 60.5667i 0.824276 + 2.53686i
\(571\) 2.06095 6.34295i 0.0862481 0.265444i −0.898626 0.438715i \(-0.855434\pi\)
0.984874 + 0.173271i \(0.0554336\pi\)
\(572\) 3.76024 + 2.73197i 0.157224 + 0.114230i
\(573\) −13.1112 + 40.3522i −0.547730 + 1.68574i
\(574\) −10.0399 + 30.8998i −0.419059 + 1.28973i
\(575\) −24.8786 18.0754i −1.03751 0.753795i
\(576\) 0.342436 1.05391i 0.0142681 0.0439128i
\(577\) 3.03924 + 9.35383i 0.126525 + 0.389405i 0.994176 0.107770i \(-0.0343709\pi\)
−0.867651 + 0.497175i \(0.834371\pi\)
\(578\) −26.3193 + 19.1221i −1.09474 + 0.795373i
\(579\) 7.45639 + 22.9484i 0.309877 + 0.953703i
\(580\) 92.0999 + 66.9145i 3.82424 + 2.77847i
\(581\) −29.0717 21.1218i −1.20610 0.876280i
\(582\) −53.1631 + 38.6252i −2.20368 + 1.60107i
\(583\) −9.19525 −0.380828
\(584\) 0.186476 0.00771644
\(585\) 0.493222 0.358347i 0.0203922 0.0148158i
\(586\) −5.85063 + 18.0064i −0.241687 + 0.743837i
\(587\) −8.57639 26.3954i −0.353986 1.08946i −0.956595 0.291420i \(-0.905872\pi\)
0.602610 0.798036i \(-0.294128\pi\)
\(588\) 23.3255 0.961926
\(589\) −16.6676 20.7401i −0.686778 0.854582i
\(590\) 97.5512 4.01612
\(591\) 0.250660 + 0.771453i 0.0103108 + 0.0317333i
\(592\) 7.69113 23.6709i 0.316103 0.972866i
\(593\) −20.6943 + 15.0353i −0.849813 + 0.617426i −0.925095 0.379737i \(-0.876015\pi\)
0.0752812 + 0.997162i \(0.476015\pi\)
\(594\) 14.8212 0.608122
\(595\) −56.5055 −2.31650
\(596\) −49.8850 + 36.2436i −2.04337 + 1.48459i
\(597\) −24.0540 17.4762i −0.984464 0.715255i
\(598\) −11.7534 8.53935i −0.480633 0.349200i
\(599\) 9.11487 + 28.0527i 0.372424 + 1.14620i 0.945200 + 0.326491i \(0.105866\pi\)
−0.572777 + 0.819711i \(0.694134\pi\)
\(600\) −38.2745 + 27.8081i −1.56255 + 1.13526i
\(601\) 13.6109 + 41.8899i 0.555199 + 1.70873i 0.695418 + 0.718606i \(0.255219\pi\)
−0.140219 + 0.990121i \(0.544781\pi\)
\(602\) −16.6946 + 51.3807i −0.680421 + 2.09412i
\(603\) −0.276445 0.200849i −0.0112577 0.00817921i
\(604\) 4.53182 13.9475i 0.184397 0.567516i
\(605\) −9.65208 + 29.7061i −0.392413 + 1.20772i
\(606\) 53.6973 + 39.0133i 2.18130 + 1.58481i
\(607\) 1.83432 5.64544i 0.0744526 0.229141i −0.906904 0.421337i \(-0.861561\pi\)
0.981357 + 0.192196i \(0.0615609\pi\)
\(608\) 2.49465 + 7.67774i 0.101171 + 0.311374i
\(609\) 37.2369 27.0542i 1.50891 1.09629i
\(610\) 8.71295 + 26.8157i 0.352777 + 1.08574i
\(611\) 1.48897 + 1.08180i 0.0602374 + 0.0437650i
\(612\) −3.51835 2.55623i −0.142221 0.103329i
\(613\) −23.4056 + 17.0052i −0.945344 + 0.686833i −0.949701 0.313158i \(-0.898613\pi\)
0.00435671 + 0.999991i \(0.498613\pi\)
\(614\) −13.0031 −0.524761
\(615\) −21.8434 −0.880810
\(616\) 15.6002 11.3342i 0.628548 0.456667i
\(617\) 5.37106 16.5304i 0.216231 0.665490i −0.782833 0.622232i \(-0.786226\pi\)
0.999064 0.0432581i \(-0.0137738\pi\)
\(618\) −6.55823 20.1842i −0.263811 0.811926i
\(619\) −22.6748 −0.911379 −0.455689 0.890139i \(-0.650607\pi\)
−0.455689 + 0.890139i \(0.650607\pi\)
\(620\) 40.6619 62.1067i 1.63302 2.49426i
\(621\) −31.2940 −1.25578
\(622\) 23.6760 + 72.8671i 0.949320 + 2.92171i
\(623\) −13.2160 + 40.6747i −0.529489 + 1.62960i
\(624\) −6.79025 + 4.93341i −0.271828 + 0.197494i
\(625\) −23.6599 −0.946396
\(626\) 7.19144 0.287428
\(627\) 7.23457 5.25622i 0.288921 0.209913i
\(628\) 57.5569 + 41.8175i 2.29677 + 1.66870i
\(629\) 22.0634 + 16.0300i 0.879727 + 0.639159i
\(630\) −1.50414 4.62927i −0.0599265 0.184435i
\(631\) 21.4204 15.5629i 0.852734 0.619547i −0.0731645 0.997320i \(-0.523310\pi\)
0.925898 + 0.377772i \(0.123310\pi\)
\(632\) 9.80789 + 30.1856i 0.390137 + 1.20072i
\(633\) 6.74938 20.7725i 0.268264 0.825631i
\(634\) −36.3390 26.4018i −1.44320 1.04855i
\(635\) −5.26168 + 16.1938i −0.208804 + 0.642631i
\(636\) 17.7629 54.6687i 0.704346 2.16776i
\(637\) −2.70403 1.96460i −0.107138 0.0778401i
\(638\) 7.31277 22.5064i 0.289515 0.891037i
\(639\) 0.0936275 + 0.288156i 0.00370384 + 0.0113993i
\(640\) 46.1914 33.5600i 1.82587 1.32657i
\(641\) 4.19111 + 12.8989i 0.165539 + 0.509476i 0.999076 0.0429877i \(-0.0136876\pi\)
−0.833537 + 0.552464i \(0.813688\pi\)
\(642\) −3.26289 2.37063i −0.128776 0.0935612i
\(643\) 14.3310 + 10.4121i 0.565158 + 0.410611i 0.833343 0.552756i \(-0.186424\pi\)
−0.268185 + 0.963367i \(0.586424\pi\)
\(644\) −63.3890 + 46.0548i −2.49788 + 1.81481i
\(645\) −36.3215 −1.43016
\(646\) −65.0951 −2.56113
\(647\) −20.7044 + 15.0426i −0.813974 + 0.591387i −0.914980 0.403499i \(-0.867794\pi\)
0.101006 + 0.994886i \(0.467794\pi\)
\(648\) −13.9295 + 42.8705i −0.547202 + 1.68411i
\(649\) −4.23294 13.0276i −0.166157 0.511380i
\(650\) 13.0462 0.511715
\(651\) −18.8011 23.3949i −0.736874 0.916918i
\(652\) −103.521 −4.05419
\(653\) −2.73407 8.41460i −0.106992 0.329289i 0.883200 0.468996i \(-0.155384\pi\)
−0.990193 + 0.139707i \(0.955384\pi\)
\(654\) 4.67368 14.3841i 0.182756 0.562464i
\(655\) 22.4077 16.2802i 0.875542 0.636119i
\(656\) −20.3766 −0.795573
\(657\) −0.00660976 −0.000257871
\(658\) 11.8880 8.63712i 0.463442 0.336710i
\(659\) −2.90638 2.11161i −0.113216 0.0822566i 0.529736 0.848162i \(-0.322291\pi\)
−0.642953 + 0.765906i \(0.722291\pi\)
\(660\) 20.1840 + 14.6645i 0.785662 + 0.570817i
\(661\) −12.4090 38.1910i −0.482655 1.48546i −0.835349 0.549720i \(-0.814735\pi\)
0.352695 0.935738i \(-0.385265\pi\)
\(662\) 18.1461 13.1839i 0.705269 0.512408i
\(663\) −2.84196 8.74667i −0.110373 0.339692i
\(664\) 18.5455 57.0773i 0.719707 2.21503i
\(665\) −39.8162 28.9282i −1.54401 1.12179i
\(666\) −0.725962 + 2.23428i −0.0281305 + 0.0865767i
\(667\) −15.4404 + 47.5207i −0.597855 + 1.84001i
\(668\) 41.5165 + 30.1635i 1.60632 + 1.16706i
\(669\) −5.98962 + 18.4342i −0.231572 + 0.712706i
\(670\) −4.40957 13.5713i −0.170356 0.524303i
\(671\) 3.20308 2.32717i 0.123653 0.0898395i
\(672\) 2.81397 + 8.66050i 0.108551 + 0.334086i
\(673\) −7.05297 5.12429i −0.271872 0.197527i 0.443492 0.896278i \(-0.353739\pi\)
−0.715365 + 0.698751i \(0.753739\pi\)
\(674\) −23.6303 17.1684i −0.910204 0.661302i
\(675\) 22.7351 16.5180i 0.875075 0.635780i
\(676\) 4.16343 0.160132
\(677\) −34.7717 −1.33639 −0.668193 0.743988i \(-0.732932\pi\)
−0.668193 + 0.743988i \(0.732932\pi\)
\(678\) −37.9150 + 27.5469i −1.45612 + 1.05793i
\(679\) 15.6931 48.2985i 0.602247 1.85353i
\(680\) −29.1620 89.7515i −1.11831 3.44181i
\(681\) −2.70914 −0.103814
\(682\) −14.8904 4.04931i −0.570183 0.155056i
\(683\) 48.5265 1.85681 0.928407 0.371565i \(-0.121179\pi\)
0.928407 + 0.371565i \(0.121179\pi\)
\(684\) −1.17051 3.60246i −0.0447556 0.137744i
\(685\) 0.741064 2.28076i 0.0283146 0.0871434i
\(686\) 23.6254 17.1648i 0.902021 0.655357i
\(687\) −4.88602 −0.186413
\(688\) −33.8826 −1.29176
\(689\) −6.66369 + 4.84145i −0.253866 + 0.184445i
\(690\) −63.0893 45.8371i −2.40177 1.74499i
\(691\) 9.57048 + 6.95336i 0.364078 + 0.264518i 0.754751 0.656011i \(-0.227758\pi\)
−0.390673 + 0.920530i \(0.627758\pi\)
\(692\) 31.8068 + 97.8912i 1.20911 + 3.72127i
\(693\) −0.552957 + 0.401747i −0.0210051 + 0.0152611i
\(694\) 12.0560 + 37.1046i 0.457640 + 1.40847i
\(695\) −19.0071 + 58.4979i −0.720981 + 2.21895i
\(696\) 62.1897 + 45.1834i 2.35729 + 1.71267i
\(697\) 6.89957 21.2347i 0.261340 0.804322i
\(698\) −17.1880 + 52.8993i −0.650576 + 2.00227i
\(699\) 36.5102 + 26.5262i 1.38094 + 1.00331i
\(700\) 21.7429 66.9178i 0.821805 2.52925i
\(701\) 12.7155 + 39.1343i 0.480258 + 1.47808i 0.838733 + 0.544543i \(0.183297\pi\)
−0.358475 + 0.933539i \(0.616703\pi\)
\(702\) 10.7408 7.80362i 0.405384 0.294529i
\(703\) 7.34024 + 22.5909i 0.276842 + 0.852033i
\(704\) −5.25707 3.81948i −0.198133 0.143952i
\(705\) 7.99243 + 5.80684i 0.301012 + 0.218698i
\(706\) −6.90809 + 5.01902i −0.259990 + 0.188893i
\(707\) −51.2943 −1.92912
\(708\) 85.6305 3.21819
\(709\) −2.83965 + 2.06313i −0.106645 + 0.0774824i −0.639830 0.768517i \(-0.720995\pi\)
0.533184 + 0.845999i \(0.320995\pi\)
\(710\) −3.90990 + 12.0334i −0.146736 + 0.451607i
\(711\) −0.347647 1.06995i −0.0130378 0.0401261i
\(712\) −71.4271 −2.67684
\(713\) 31.4401 + 8.54984i 1.17744 + 0.320194i
\(714\) −73.4273 −2.74795
\(715\) −1.10473 3.40002i −0.0413146 0.127153i
\(716\) 27.1586 83.5854i 1.01496 3.12373i
\(717\) 21.0397 15.2862i 0.785740 0.570874i
\(718\) −42.9495 −1.60286
\(719\) 28.5711 1.06552 0.532761 0.846266i \(-0.321155\pi\)
0.532761 + 0.846266i \(0.321155\pi\)
\(720\) 2.46972 1.79435i 0.0920409 0.0668716i
\(721\) 13.2690 + 9.64046i 0.494162 + 0.359029i
\(722\) −7.70763 5.59992i −0.286848 0.208408i
\(723\) 2.23151 + 6.86789i 0.0829908 + 0.255420i
\(724\) 25.8275 18.7648i 0.959872 0.697388i
\(725\) −13.8656 42.6738i −0.514954 1.58487i
\(726\) −12.5426 + 38.6022i −0.465500 + 1.43266i
\(727\) 5.73775 + 4.16872i 0.212802 + 0.154609i 0.689080 0.724685i \(-0.258015\pi\)
−0.476279 + 0.879294i \(0.658015\pi\)
\(728\) 5.33761 16.4275i 0.197825 0.608843i
\(729\) 8.80360 27.0947i 0.326059 1.00351i
\(730\) −0.223309 0.162243i −0.00826502 0.00600489i
\(731\) 11.4727 35.3094i 0.424334 1.30597i
\(732\) 7.64823 + 23.5388i 0.282687 + 0.870021i
\(733\) −14.6578 + 10.6495i −0.541398 + 0.393349i −0.824604 0.565711i \(-0.808602\pi\)
0.283206 + 0.959059i \(0.408602\pi\)
\(734\) −11.3168 34.8295i −0.417710 1.28558i
\(735\) −14.5146 10.5455i −0.535378 0.388975i
\(736\) −7.99752 5.81054i −0.294792 0.214179i
\(737\) −1.62106 + 1.17777i −0.0597124 + 0.0433836i
\(738\) 1.92334 0.0707991
\(739\) −14.8662 −0.546861 −0.273430 0.961892i \(-0.588158\pi\)
−0.273430 + 0.961892i \(0.588158\pi\)
\(740\) −53.6143 + 38.9531i −1.97090 + 1.43194i
\(741\) 2.47532 7.61824i 0.0909331 0.279863i
\(742\) 20.3217 + 62.5439i 0.746034 + 2.29606i
\(743\) 11.8867 0.436082 0.218041 0.975940i \(-0.430033\pi\)
0.218041 + 0.975940i \(0.430033\pi\)
\(744\) 27.4566 41.9370i 1.00661 1.53749i
\(745\) 47.4273 1.73760
\(746\) −8.13080 25.0240i −0.297690 0.916195i
\(747\) −0.657358 + 2.02314i −0.0240515 + 0.0740228i
\(748\) −20.6314 + 14.9896i −0.754357 + 0.548073i
\(749\) 3.11688 0.113888
\(750\) 3.39831 0.124089
\(751\) −23.8434 + 17.3232i −0.870057 + 0.632133i −0.930602 0.366032i \(-0.880716\pi\)
0.0605454 + 0.998165i \(0.480716\pi\)
\(752\) 7.45575 + 5.41692i 0.271883 + 0.197535i
\(753\) 33.6665 + 24.4601i 1.22687 + 0.891377i
\(754\) −6.55051 20.1604i −0.238556 0.734199i
\(755\) −9.12566 + 6.63018i −0.332117 + 0.241297i
\(756\) −22.1264 68.0980i −0.804728 2.47670i
\(757\) −8.85248 + 27.2451i −0.321749 + 0.990241i 0.651138 + 0.758959i \(0.274292\pi\)
−0.972887 + 0.231282i \(0.925708\pi\)
\(758\) 50.9396 + 37.0097i 1.85021 + 1.34425i
\(759\) −3.38382 + 10.4143i −0.122825 + 0.378016i
\(760\) 25.3998 78.1725i 0.921347 2.83561i
\(761\) −7.96008 5.78334i −0.288553 0.209646i 0.434087 0.900871i \(-0.357071\pi\)
−0.722639 + 0.691225i \(0.757071\pi\)
\(762\) −6.83742 + 21.0434i −0.247693 + 0.762322i
\(763\) 3.61189 + 11.1162i 0.130759 + 0.402435i
\(764\) 85.2602 61.9452i 3.08461 2.24110i