Properties

Label 483.2.r.a.412.19
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.19
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.227214 + 0.146021i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.800526 - 1.75291i) q^{4} +(-1.03996 - 0.305361i) q^{5} +(-0.245682 - 0.112199i) q^{6} +(-2.17465 - 1.50695i) q^{7} +(0.150947 - 1.04986i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.227214 + 0.146021i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.800526 - 1.75291i) q^{4} +(-1.03996 - 0.305361i) q^{5} +(-0.245682 - 0.112199i) q^{6} +(-2.17465 - 1.50695i) q^{7} +(0.150947 - 1.04986i) q^{8} +(0.959493 - 0.281733i) q^{9} +(-0.191705 - 0.221239i) q^{10} +(2.42939 + 3.78020i) q^{11} +(1.04184 + 1.62114i) q^{12} +(-2.38102 + 2.06316i) q^{13} +(-0.274062 - 0.659945i) q^{14} +(1.07284 + 0.154251i) q^{15} +(-2.33630 + 2.69624i) q^{16} +(-2.18750 + 4.78996i) q^{17} +(0.259149 + 0.0760930i) q^{18} +(2.28938 + 5.01305i) q^{19} +(0.297249 + 2.06741i) q^{20} +(2.36697 + 1.18213i) q^{21} +1.21366i q^{22} +(-0.277290 - 4.78781i) q^{23} +1.06065i q^{24} +(-3.21799 - 2.06807i) q^{25} +(-0.842265 + 0.121099i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(-0.900689 + 5.01831i) q^{28} +(-0.778025 + 1.70364i) q^{29} +(0.221239 + 0.191705i) q^{30} +(-6.66165 - 0.957801i) q^{31} +(-2.95993 + 0.869114i) q^{32} +(-2.94264 - 3.39599i) q^{33} +(-1.19647 + 0.768923i) q^{34} +(1.80139 + 2.23123i) q^{35} +(-1.26195 - 1.45637i) q^{36} +(2.08577 + 7.10348i) q^{37} +(-0.211833 + 1.47333i) q^{38} +(2.06316 - 2.38102i) q^{39} +(-0.477566 + 1.04572i) q^{40} +(3.11602 - 10.6122i) q^{41} +(0.365193 + 0.614225i) q^{42} +(-1.39400 + 0.200427i) q^{43} +(4.68155 - 7.28464i) q^{44} -1.08387 q^{45} +(0.636118 - 1.12835i) q^{46} +1.11953i q^{47} +(1.92881 - 3.00128i) q^{48} +(2.45818 + 6.55419i) q^{49} +(-0.429187 - 0.939789i) q^{50} +(1.48355 - 5.05252i) q^{51} +(5.52260 + 2.52209i) q^{52} +(-1.39483 - 1.20863i) q^{53} +(-0.267340 - 0.0384377i) q^{54} +(-1.37215 - 4.67312i) q^{55} +(-1.91035 + 2.05560i) q^{56} +(-2.97951 - 4.63621i) q^{57} +(-0.425546 + 0.273482i) q^{58} +(-9.62852 + 8.34316i) q^{59} +(-0.588447 - 2.00407i) q^{60} +(1.66120 - 11.5539i) q^{61} +(-1.37376 - 1.19037i) q^{62} +(-2.51112 - 0.833243i) q^{63} +(6.04679 + 1.77550i) q^{64} +(3.10618 - 1.41855i) q^{65} +(-0.172721 - 1.20130i) q^{66} +(-5.58129 + 8.68465i) q^{67} +10.1475 q^{68} +(0.955844 + 4.69961i) q^{69} +(0.0834932 + 0.770008i) q^{70} +(8.57728 + 5.51229i) q^{71} +(-0.150947 - 1.04986i) q^{72} +(-12.5808 + 5.74545i) q^{73} +(-0.563345 + 1.91858i) q^{74} +(3.47955 + 1.58906i) q^{75} +(6.95470 - 8.02616i) q^{76} +(0.413528 - 11.8816i) q^{77} +(0.816458 - 0.239734i) q^{78} +(-6.67014 + 5.77971i) q^{79} +(3.25300 - 2.09058i) q^{80} +(0.841254 - 0.540641i) q^{81} +(2.25761 - 1.95623i) q^{82} +(-0.695752 + 0.204291i) q^{83} +(0.177341 - 5.09541i) q^{84} +(3.73760 - 4.31342i) q^{85} +(-0.346003 - 0.158014i) q^{86} +(0.527653 - 1.79702i) q^{87} +(4.33539 - 1.97990i) q^{88} +(-1.66375 - 11.5717i) q^{89} +(-0.246270 - 0.158268i) q^{90} +(8.28696 - 0.898568i) q^{91} +(-8.17061 + 4.31883i) q^{92} +6.73016 q^{93} +(-0.163475 + 0.254371i) q^{94} +(-0.850087 - 5.91249i) q^{95} +(2.80611 - 1.28151i) q^{96} +(-7.69464 - 2.25935i) q^{97} +(-0.398519 + 1.84815i) q^{98} +(3.39599 + 2.94264i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.227214 + 0.146021i 0.160664 + 0.103253i 0.618502 0.785783i \(-0.287740\pi\)
−0.457838 + 0.889036i \(0.651376\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) −0.800526 1.75291i −0.400263 0.876454i
\(5\) −1.03996 0.305361i −0.465086 0.136562i 0.0407898 0.999168i \(-0.487013\pi\)
−0.505876 + 0.862606i \(0.668831\pi\)
\(6\) −0.245682 0.112199i −0.100299 0.0458051i
\(7\) −2.17465 1.50695i −0.821939 0.569575i
\(8\) 0.150947 1.04986i 0.0533678 0.371181i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) −0.191705 0.221239i −0.0606224 0.0699620i
\(11\) 2.42939 + 3.78020i 0.732488 + 1.13977i 0.985063 + 0.172196i \(0.0550862\pi\)
−0.252575 + 0.967577i \(0.581277\pi\)
\(12\) 1.04184 + 1.62114i 0.300754 + 0.467983i
\(13\) −2.38102 + 2.06316i −0.660375 + 0.572218i −0.919241 0.393695i \(-0.871197\pi\)
0.258866 + 0.965913i \(0.416651\pi\)
\(14\) −0.274062 0.659945i −0.0732462 0.176378i
\(15\) 1.07284 + 0.154251i 0.277005 + 0.0398274i
\(16\) −2.33630 + 2.69624i −0.584075 + 0.674059i
\(17\) −2.18750 + 4.78996i −0.530547 + 1.16174i 0.434742 + 0.900555i \(0.356839\pi\)
−0.965290 + 0.261182i \(0.915888\pi\)
\(18\) 0.259149 + 0.0760930i 0.0610820 + 0.0179353i
\(19\) 2.28938 + 5.01305i 0.525221 + 1.15007i 0.967425 + 0.253158i \(0.0814693\pi\)
−0.442204 + 0.896914i \(0.645803\pi\)
\(20\) 0.297249 + 2.06741i 0.0664669 + 0.462287i
\(21\) 2.36697 + 1.18213i 0.516516 + 0.257962i
\(22\) 1.21366i 0.258752i
\(23\) −0.277290 4.78781i −0.0578190 0.998327i
\(24\) 1.06065i 0.216505i
\(25\) −3.21799 2.06807i −0.643597 0.413615i
\(26\) −0.842265 + 0.121099i −0.165182 + 0.0237495i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) −0.900689 + 5.01831i −0.170214 + 0.948372i
\(29\) −0.778025 + 1.70364i −0.144476 + 0.316358i −0.968011 0.250907i \(-0.919271\pi\)
0.823535 + 0.567265i \(0.191998\pi\)
\(30\) 0.221239 + 0.191705i 0.0403926 + 0.0350004i
\(31\) −6.66165 0.957801i −1.19647 0.172026i −0.484853 0.874596i \(-0.661127\pi\)
−0.711615 + 0.702569i \(0.752036\pi\)
\(32\) −2.95993 + 0.869114i −0.523247 + 0.153639i
\(33\) −2.94264 3.39599i −0.512248 0.591165i
\(34\) −1.19647 + 0.768923i −0.205192 + 0.131869i
\(35\) 1.80139 + 2.23123i 0.304491 + 0.377147i
\(36\) −1.26195 1.45637i −0.210325 0.242728i
\(37\) 2.08577 + 7.10348i 0.342899 + 1.16781i 0.932819 + 0.360344i \(0.117341\pi\)
−0.589921 + 0.807461i \(0.700841\pi\)
\(38\) −0.211833 + 1.47333i −0.0343639 + 0.239006i
\(39\) 2.06316 2.38102i 0.330370 0.381268i
\(40\) −0.477566 + 1.04572i −0.0755098 + 0.165343i
\(41\) 3.11602 10.6122i 0.486640 1.65734i −0.240343 0.970688i \(-0.577260\pi\)
0.726983 0.686655i \(-0.240922\pi\)
\(42\) 0.365193 + 0.614225i 0.0563504 + 0.0947770i
\(43\) −1.39400 + 0.200427i −0.212583 + 0.0305649i −0.247784 0.968815i \(-0.579702\pi\)
0.0352003 + 0.999380i \(0.488793\pi\)
\(44\) 4.68155 7.28464i 0.705771 1.09820i
\(45\) −1.08387 −0.161574
\(46\) 0.636118 1.12835i 0.0937905 0.166365i
\(47\) 1.11953i 0.163300i 0.996661 + 0.0816498i \(0.0260189\pi\)
−0.996661 + 0.0816498i \(0.973981\pi\)
\(48\) 1.92881 3.00128i 0.278399 0.433198i
\(49\) 2.45818 + 6.55419i 0.351169 + 0.936312i
\(50\) −0.429187 0.939789i −0.0606963 0.132906i
\(51\) 1.48355 5.05252i 0.207739 0.707495i
\(52\) 5.52260 + 2.52209i 0.765847 + 0.349750i
\(53\) −1.39483 1.20863i −0.191595 0.166018i 0.553781 0.832662i \(-0.313184\pi\)
−0.745376 + 0.666645i \(0.767730\pi\)
\(54\) −0.267340 0.0384377i −0.0363804 0.00523071i
\(55\) −1.37215 4.67312i −0.185021 0.630123i
\(56\) −1.91035 + 2.05560i −0.255281 + 0.274691i
\(57\) −2.97951 4.63621i −0.394646 0.614081i
\(58\) −0.425546 + 0.273482i −0.0558769 + 0.0359099i
\(59\) −9.62852 + 8.34316i −1.25353 + 1.08619i −0.260851 + 0.965379i \(0.584003\pi\)
−0.992676 + 0.120808i \(0.961451\pi\)
\(60\) −0.588447 2.00407i −0.0759682 0.258724i
\(61\) 1.66120 11.5539i 0.212695 1.47932i −0.551412 0.834233i \(-0.685911\pi\)
0.764106 0.645090i \(-0.223180\pi\)
\(62\) −1.37376 1.19037i −0.174468 0.151177i
\(63\) −2.51112 0.833243i −0.316371 0.104979i
\(64\) 6.04679 + 1.77550i 0.755849 + 0.221937i
\(65\) 3.10618 1.41855i 0.385275 0.175949i
\(66\) −0.172721 1.20130i −0.0212605 0.147870i
\(67\) −5.58129 + 8.68465i −0.681863 + 1.06100i 0.311968 + 0.950093i \(0.399012\pi\)
−0.993831 + 0.110907i \(0.964625\pi\)
\(68\) 10.1475 1.23057
\(69\) 0.955844 + 4.69961i 0.115070 + 0.565767i
\(70\) 0.0834932 + 0.770008i 0.00997934 + 0.0920336i
\(71\) 8.57728 + 5.51229i 1.01794 + 0.654188i 0.939435 0.342726i \(-0.111350\pi\)
0.0785010 + 0.996914i \(0.474987\pi\)
\(72\) −0.150947 1.04986i −0.0177893 0.123727i
\(73\) −12.5808 + 5.74545i −1.47247 + 0.672454i −0.980204 0.197992i \(-0.936558\pi\)
−0.492265 + 0.870446i \(0.663831\pi\)
\(74\) −0.563345 + 1.91858i −0.0654875 + 0.223030i
\(75\) 3.47955 + 1.58906i 0.401784 + 0.183488i
\(76\) 6.95470 8.02616i 0.797759 0.920663i
\(77\) 0.413528 11.8816i 0.0471259 1.35403i
\(78\) 0.816458 0.239734i 0.0924456 0.0271445i
\(79\) −6.67014 + 5.77971i −0.750450 + 0.650268i −0.943670 0.330887i \(-0.892652\pi\)
0.193221 + 0.981155i \(0.438107\pi\)
\(80\) 3.25300 2.09058i 0.363696 0.233733i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 2.25761 1.95623i 0.249311 0.216029i
\(83\) −0.695752 + 0.204291i −0.0763688 + 0.0224239i −0.319694 0.947521i \(-0.603580\pi\)
0.243325 + 0.969945i \(0.421762\pi\)
\(84\) 0.177341 5.09541i 0.0193495 0.555955i
\(85\) 3.73760 4.31342i 0.405399 0.467856i
\(86\) −0.346003 0.158014i −0.0373104 0.0170391i
\(87\) 0.527653 1.79702i 0.0565704 0.192661i
\(88\) 4.33539 1.97990i 0.462154 0.211059i
\(89\) −1.66375 11.5717i −0.176358 1.22659i −0.865104 0.501592i \(-0.832748\pi\)
0.688747 0.725002i \(-0.258161\pi\)
\(90\) −0.246270 0.158268i −0.0259591 0.0166829i
\(91\) 8.28696 0.898568i 0.868709 0.0941955i
\(92\) −8.17061 + 4.31883i −0.851845 + 0.450269i
\(93\) 6.73016 0.697885
\(94\) −0.163475 + 0.254371i −0.0168611 + 0.0262364i
\(95\) −0.850087 5.91249i −0.0872171 0.606608i
\(96\) 2.80611 1.28151i 0.286398 0.130794i
\(97\) −7.69464 2.25935i −0.781272 0.229402i −0.133310 0.991074i \(-0.542561\pi\)
−0.647963 + 0.761672i \(0.724379\pi\)
\(98\) −0.398519 + 1.84815i −0.0402565 + 0.186691i
\(99\) 3.39599 + 2.94264i 0.341309 + 0.295746i
\(100\) −1.04906 + 7.29638i −0.104906 + 0.729638i
\(101\) −2.70718 9.21979i −0.269374 0.917404i −0.977432 0.211250i \(-0.932247\pi\)
0.708058 0.706154i \(-0.249571\pi\)
\(102\) 1.07486 0.931371i 0.106427 0.0922195i
\(103\) 8.38523 5.38886i 0.826221 0.530980i −0.0578537 0.998325i \(-0.518426\pi\)
0.884075 + 0.467345i \(0.154789\pi\)
\(104\) 1.80662 + 2.81116i 0.177154 + 0.275657i
\(105\) −2.10059 1.95216i −0.204997 0.190511i
\(106\) −0.140439 0.478292i −0.0136407 0.0464558i
\(107\) −5.56322 0.799870i −0.537816 0.0773263i −0.131946 0.991257i \(-0.542123\pi\)
−0.405870 + 0.913931i \(0.633032\pi\)
\(108\) 1.45637 + 1.26195i 0.140139 + 0.121431i
\(109\) −2.82030 1.28799i −0.270135 0.123367i 0.275742 0.961232i \(-0.411076\pi\)
−0.545878 + 0.837865i \(0.683804\pi\)
\(110\) 0.370603 1.26216i 0.0353356 0.120342i
\(111\) −3.07547 6.73434i −0.291911 0.639196i
\(112\) 9.14374 2.34266i 0.864002 0.221361i
\(113\) 4.77648 7.43234i 0.449333 0.699176i −0.540510 0.841337i \(-0.681769\pi\)
0.989843 + 0.142161i \(0.0454052\pi\)
\(114\) 1.48848i 0.139409i
\(115\) −1.17364 + 5.06383i −0.109442 + 0.472204i
\(116\) 3.60915 0.335101
\(117\) −1.70331 + 2.65040i −0.157471 + 0.245029i
\(118\) −3.40601 + 0.489711i −0.313549 + 0.0450815i
\(119\) 11.9753 7.12001i 1.09777 0.652691i
\(120\) 0.323883 1.10304i 0.0295663 0.100694i
\(121\) −3.81843 + 8.36119i −0.347130 + 0.760108i
\(122\) 2.06456 2.38263i 0.186917 0.215713i
\(123\) −1.57403 + 10.9476i −0.141925 + 0.987113i
\(124\) 3.65389 + 12.4440i 0.328129 + 1.11751i
\(125\) 6.26400 + 7.22904i 0.560269 + 0.646585i
\(126\) −0.448889 0.556001i −0.0399902 0.0495325i
\(127\) −7.42569 + 4.77220i −0.658924 + 0.423465i −0.826917 0.562323i \(-0.809908\pi\)
0.167994 + 0.985788i \(0.446271\pi\)
\(128\) 5.15500 + 5.94919i 0.455642 + 0.525839i
\(129\) 1.35129 0.396774i 0.118974 0.0349340i
\(130\) 0.912905 + 0.131256i 0.0800671 + 0.0115119i
\(131\) 14.9580 + 12.9612i 1.30689 + 1.13243i 0.982451 + 0.186520i \(0.0597209\pi\)
0.324439 + 0.945907i \(0.394825\pi\)
\(132\) −3.59719 + 7.87675i −0.313095 + 0.685583i
\(133\) 2.57583 14.3516i 0.223353 1.24444i
\(134\) −2.53629 + 1.15828i −0.219102 + 0.100061i
\(135\) 1.07284 0.154251i 0.0923351 0.0132758i
\(136\) 4.69859 + 3.01960i 0.402901 + 0.258929i
\(137\) 2.80847i 0.239944i −0.992777 0.119972i \(-0.961719\pi\)
0.992777 0.119972i \(-0.0382805\pi\)
\(138\) −0.469063 + 1.20739i −0.0399293 + 0.102780i
\(139\) 11.5201i 0.977123i 0.872529 + 0.488562i \(0.162478\pi\)
−0.872529 + 0.488562i \(0.837522\pi\)
\(140\) 2.46908 4.94383i 0.208676 0.417830i
\(141\) −0.159325 1.10813i −0.0134176 0.0933214i
\(142\) 1.14396 + 2.50493i 0.0959994 + 0.210209i
\(143\) −13.5836 3.98850i −1.13592 0.333535i
\(144\) −1.48205 + 3.24523i −0.123504 + 0.270436i
\(145\) 1.32934 1.53415i 0.110396 0.127404i
\(146\) −3.69748 0.531618i −0.306006 0.0439970i
\(147\) −3.36592 6.13764i −0.277616 0.506224i
\(148\) 10.7820 9.34269i 0.886278 0.767964i
\(149\) −6.27446 9.76325i −0.514024 0.799836i 0.483105 0.875562i \(-0.339509\pi\)
−0.997129 + 0.0757260i \(0.975873\pi\)
\(150\) 0.558565 + 0.869144i 0.0456066 + 0.0709653i
\(151\) −5.69807 6.57593i −0.463703 0.535141i 0.474947 0.880015i \(-0.342467\pi\)
−0.938649 + 0.344873i \(0.887922\pi\)
\(152\) 5.60857 1.64683i 0.454915 0.133575i
\(153\) −0.749405 + 5.21223i −0.0605858 + 0.421384i
\(154\) 1.82892 2.63927i 0.147379 0.212679i
\(155\) 6.63541 + 3.03029i 0.532969 + 0.243399i
\(156\) −5.82532 1.71047i −0.466399 0.136947i
\(157\) −7.41817 16.2435i −0.592034 1.29637i −0.934205 0.356736i \(-0.883889\pi\)
0.342171 0.939638i \(-0.388838\pi\)
\(158\) −2.35951 + 0.339246i −0.187712 + 0.0269890i
\(159\) 1.55264 + 0.997820i 0.123132 + 0.0791323i
\(160\) 3.34362 0.264336
\(161\) −6.61200 + 10.8297i −0.521099 + 0.853497i
\(162\) 0.270089 0.0212202
\(163\) −19.1315 12.2951i −1.49849 0.963024i −0.995090 0.0989727i \(-0.968444\pi\)
−0.503404 0.864051i \(-0.667919\pi\)
\(164\) −21.0966 + 3.03324i −1.64737 + 0.236856i
\(165\) 2.02324 + 4.43027i 0.157509 + 0.344896i
\(166\) −0.187915 0.0551769i −0.0145851 0.00428256i
\(167\) −7.73632 3.53306i −0.598654 0.273396i 0.0929524 0.995671i \(-0.470370\pi\)
−0.691607 + 0.722274i \(0.743097\pi\)
\(168\) 1.59836 2.30655i 0.123316 0.177954i
\(169\) −0.437494 + 3.04284i −0.0336534 + 0.234064i
\(170\) 1.47908 0.434298i 0.113441 0.0333091i
\(171\) 3.60899 + 4.16499i 0.275986 + 0.318505i
\(172\) 1.46727 + 2.28311i 0.111878 + 0.174085i
\(173\) −5.25864 8.18260i −0.399807 0.622112i 0.581731 0.813382i \(-0.302376\pi\)
−0.981538 + 0.191270i \(0.938739\pi\)
\(174\) 0.382294 0.331259i 0.0289816 0.0251127i
\(175\) 3.88149 + 9.34669i 0.293413 + 0.706543i
\(176\) −15.8681 2.28149i −1.19610 0.171974i
\(177\) 8.34316 9.62852i 0.627110 0.723724i
\(178\) 1.31168 2.87218i 0.0983148 0.215279i
\(179\) 21.6927 + 6.36954i 1.62139 + 0.476082i 0.961391 0.275187i \(-0.0887399\pi\)
0.659996 + 0.751269i \(0.270558\pi\)
\(180\) 0.867666 + 1.89992i 0.0646720 + 0.141612i
\(181\) 1.43926 + 10.0103i 0.106979 + 0.744058i 0.970736 + 0.240149i \(0.0771962\pi\)
−0.863757 + 0.503909i \(0.831895\pi\)
\(182\) 2.01412 + 1.00591i 0.149297 + 0.0745627i
\(183\) 11.6727i 0.862871i
\(184\) −5.06838 0.431590i −0.373646 0.0318172i
\(185\) 8.02429i 0.589957i
\(186\) 1.52918 + 0.982747i 0.112125 + 0.0720585i
\(187\) −23.4213 + 3.36748i −1.71274 + 0.246254i
\(188\) 1.96242 0.896209i 0.143124 0.0653628i
\(189\) 2.60414 + 0.467392i 0.189423 + 0.0339978i
\(190\) 0.670198 1.46753i 0.0486212 0.106466i
\(191\) 14.4740 + 12.5418i 1.04730 + 0.907495i 0.995834 0.0911800i \(-0.0290639\pi\)
0.0514701 + 0.998675i \(0.483609\pi\)
\(192\) −6.23792 0.896878i −0.450183 0.0647266i
\(193\) 4.26226 1.25151i 0.306804 0.0900857i −0.124707 0.992194i \(-0.539799\pi\)
0.431510 + 0.902108i \(0.357981\pi\)
\(194\) −1.41841 1.63694i −0.101836 0.117525i
\(195\) −2.87269 + 1.84616i −0.205717 + 0.132206i
\(196\) 9.52105 9.55576i 0.680075 0.682554i
\(197\) −1.25209 1.44499i −0.0892079 0.102951i 0.709391 0.704816i \(-0.248970\pi\)
−0.798598 + 0.601864i \(0.794425\pi\)
\(198\) 0.341926 + 1.16449i 0.0242996 + 0.0827570i
\(199\) 1.29091 8.97847i 0.0915102 0.636467i −0.891514 0.452993i \(-0.850356\pi\)
0.983024 0.183475i \(-0.0587345\pi\)
\(200\) −2.65693 + 3.06626i −0.187873 + 0.216817i
\(201\) 4.28852 9.39055i 0.302489 0.662359i
\(202\) 0.731179 2.49017i 0.0514456 0.175208i
\(203\) 4.25924 2.53236i 0.298940 0.177737i
\(204\) −10.0442 + 1.44414i −0.703237 + 0.101110i
\(205\) −6.48109 + 10.0848i −0.452659 + 0.704351i
\(206\) 2.69213 0.187569
\(207\) −1.61494 4.51575i −0.112246 0.313866i
\(208\) 11.2399i 0.779350i
\(209\) −13.3885 + 20.8330i −0.926104 + 1.44105i
\(210\) −0.192227 0.750288i −0.0132649 0.0517748i
\(211\) −7.86869 17.2300i −0.541703 1.18616i −0.960550 0.278108i \(-0.910293\pi\)
0.418847 0.908057i \(-0.362434\pi\)
\(212\) −1.00201 + 3.41255i −0.0688186 + 0.234375i
\(213\) −9.27446 4.23550i −0.635476 0.290212i
\(214\) −1.14724 0.994089i −0.0784237 0.0679546i
\(215\) 1.51092 + 0.217237i 0.103044 + 0.0148154i
\(216\) 0.298821 + 1.01769i 0.0203322 + 0.0692451i
\(217\) 13.0434 + 12.1217i 0.885443 + 0.822874i
\(218\) −0.452736 0.704471i −0.0306632 0.0477128i
\(219\) 11.6351 7.47740i 0.786224 0.505276i
\(220\) −7.09310 + 6.14621i −0.478217 + 0.414377i
\(221\) −4.67399 15.9182i −0.314407 1.07077i
\(222\) 0.284569 1.97922i 0.0190990 0.132836i
\(223\) 16.9528 + 14.6897i 1.13524 + 0.983695i 0.999975 0.00711417i \(-0.00226453\pi\)
0.135269 + 0.990809i \(0.456810\pi\)
\(224\) 7.74652 + 2.57046i 0.517586 + 0.171746i
\(225\) −3.67028 1.07769i −0.244685 0.0718461i
\(226\) 2.17056 0.991262i 0.144384 0.0659378i
\(227\) 1.51829 + 10.5599i 0.100772 + 0.700888i 0.976094 + 0.217347i \(0.0697404\pi\)
−0.875322 + 0.483541i \(0.839351\pi\)
\(228\) −5.74167 + 8.93422i −0.380252 + 0.591683i
\(229\) 3.49933 0.231242 0.115621 0.993293i \(-0.463114\pi\)
0.115621 + 0.993293i \(0.463114\pi\)
\(230\) −1.00609 + 0.979194i −0.0663399 + 0.0645661i
\(231\) 1.28161 + 11.8195i 0.0843235 + 0.777665i
\(232\) 1.67114 + 1.07398i 0.109716 + 0.0705100i
\(233\) 1.77046 + 12.3138i 0.115986 + 0.806704i 0.961904 + 0.273389i \(0.0881447\pi\)
−0.845917 + 0.533315i \(0.820946\pi\)
\(234\) −0.774030 + 0.353487i −0.0505999 + 0.0231082i
\(235\) 0.341860 1.16427i 0.0223005 0.0759484i
\(236\) 22.3327 + 10.1990i 1.45373 + 0.663898i
\(237\) 5.77971 6.67014i 0.375433 0.433272i
\(238\) 3.76063 + 0.130885i 0.243765 + 0.00848403i
\(239\) −10.9628 + 3.21897i −0.709124 + 0.208218i −0.616353 0.787470i \(-0.711391\pi\)
−0.0927711 + 0.995687i \(0.529572\pi\)
\(240\) −2.92237 + 2.53225i −0.188638 + 0.163456i
\(241\) −15.9870 + 10.2742i −1.02981 + 0.661821i −0.942447 0.334355i \(-0.891482\pi\)
−0.0873668 + 0.996176i \(0.527845\pi\)
\(242\) −2.08851 + 1.34220i −0.134255 + 0.0862801i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) −21.5827 + 6.33726i −1.38169 + 0.405702i
\(245\) −0.555026 7.56676i −0.0354593 0.483422i
\(246\) −1.95623 + 2.25761i −0.124724 + 0.143940i
\(247\) −15.7938 7.21278i −1.00493 0.458938i
\(248\) −2.01111 + 6.84922i −0.127706 + 0.434926i
\(249\) 0.659597 0.301228i 0.0418003 0.0190895i
\(250\) 0.367672 + 2.55721i 0.0232536 + 0.161732i
\(251\) 8.72513 + 5.60730i 0.550725 + 0.353930i 0.786221 0.617946i \(-0.212035\pi\)
−0.235495 + 0.971875i \(0.575671\pi\)
\(252\) 0.549617 + 5.06879i 0.0346226 + 0.319304i
\(253\) 17.4252 12.6797i 1.09551 0.797163i
\(254\) −2.38406 −0.149589
\(255\) −3.08569 + 4.80143i −0.193233 + 0.300677i
\(256\) −1.49118 10.3714i −0.0931986 0.648210i
\(257\) −24.9774 + 11.4068i −1.55805 + 0.711538i −0.993497 0.113859i \(-0.963679\pi\)
−0.564553 + 0.825397i \(0.690951\pi\)
\(258\) 0.364969 + 0.107165i 0.0227220 + 0.00667177i
\(259\) 6.16881 18.5907i 0.383311 1.15517i
\(260\) −4.97316 4.30927i −0.308422 0.267249i
\(261\) −0.266540 + 1.85382i −0.0164984 + 0.114749i
\(262\) 1.50606 + 5.12916i 0.0930445 + 0.316880i
\(263\) −4.71585 + 4.08631i −0.290792 + 0.251972i −0.788023 0.615645i \(-0.788895\pi\)
0.497232 + 0.867618i \(0.334350\pi\)
\(264\) −4.00949 + 2.57674i −0.246767 + 0.158587i
\(265\) 1.08151 + 1.68286i 0.0664364 + 0.103377i
\(266\) 2.68091 2.88475i 0.164377 0.176876i
\(267\) 3.29364 + 11.2171i 0.201567 + 0.686476i
\(268\) 19.6914 + 2.83119i 1.20284 + 0.172942i
\(269\) 9.73091 + 8.43188i 0.593304 + 0.514101i 0.898954 0.438043i \(-0.144328\pi\)
−0.305650 + 0.952144i \(0.598874\pi\)
\(270\) 0.266287 + 0.121609i 0.0162057 + 0.00740090i
\(271\) −0.363936 + 1.23945i −0.0221076 + 0.0752915i −0.969808 0.243870i \(-0.921583\pi\)
0.947700 + 0.319161i \(0.103401\pi\)
\(272\) −7.80421 17.0888i −0.473199 1.03616i
\(273\) −8.07473 + 2.06878i −0.488705 + 0.125208i
\(274\) 0.410097 0.638124i 0.0247749 0.0385505i
\(275\) 17.1888i 1.03652i
\(276\) 7.47281 5.43767i 0.449810 0.327309i
\(277\) 12.3157 0.739977 0.369988 0.929036i \(-0.379362\pi\)
0.369988 + 0.929036i \(0.379362\pi\)
\(278\) −1.68218 + 2.61753i −0.100891 + 0.156989i
\(279\) −6.66165 + 0.957801i −0.398823 + 0.0573421i
\(280\) 2.61439 1.55441i 0.156240 0.0928937i
\(281\) −6.69105 + 22.7876i −0.399155 + 1.35940i 0.477650 + 0.878550i \(0.341489\pi\)
−0.876805 + 0.480846i \(0.840329\pi\)
\(282\) 0.125610 0.275047i 0.00747995 0.0163788i
\(283\) −6.30384 + 7.27502i −0.374724 + 0.432455i −0.911519 0.411258i \(-0.865089\pi\)
0.536795 + 0.843713i \(0.319635\pi\)
\(284\) 2.79619 19.4479i 0.165923 1.15402i
\(285\) 1.68287 + 5.73132i 0.0996845 + 0.339494i
\(286\) −2.50397 2.88973i −0.148063 0.170873i
\(287\) −22.7683 + 18.3820i −1.34397 + 1.08506i
\(288\) −2.59517 + 1.66782i −0.152922 + 0.0982771i
\(289\) −7.02595 8.10838i −0.413291 0.476963i
\(290\) 0.526063 0.154466i 0.0308915 0.00907056i
\(291\) 7.93786 + 1.14129i 0.465326 + 0.0669037i
\(292\) 20.1425 + 17.4536i 1.17875 + 1.02139i
\(293\) 0.898909 1.96834i 0.0525148 0.114991i −0.881556 0.472080i \(-0.843503\pi\)
0.934071 + 0.357089i \(0.116231\pi\)
\(294\) 0.131444 1.88605i 0.00766596 0.109997i
\(295\) 12.5610 5.73642i 0.731330 0.333987i
\(296\) 7.77250 1.11752i 0.451767 0.0649543i
\(297\) −3.78020 2.42939i −0.219349 0.140967i
\(298\) 3.13455i 0.181579i
\(299\) 10.5383 + 10.8278i 0.609443 + 0.626185i
\(300\) 7.37141i 0.425589i
\(301\) 3.33350 + 1.66484i 0.192140 + 0.0959597i
\(302\) −0.334454 2.32618i −0.0192457 0.133857i
\(303\) 3.99173 + 8.74068i 0.229319 + 0.502139i
\(304\) −18.8651 5.53928i −1.08199 0.317700i
\(305\) −5.25570 + 11.5084i −0.300940 + 0.658968i
\(306\) −0.931371 + 1.07486i −0.0532430 + 0.0614457i
\(307\) −16.5084 2.37356i −0.942187 0.135466i −0.345931 0.938260i \(-0.612437\pi\)
−0.596256 + 0.802794i \(0.703346\pi\)
\(308\) −21.1583 + 8.78664i −1.20561 + 0.500665i
\(309\) −7.53297 + 6.52735i −0.428536 + 0.371328i
\(310\) 1.06517 + 1.65744i 0.0604975 + 0.0941360i
\(311\) 8.90159 + 13.8511i 0.504763 + 0.785426i 0.996346 0.0854041i \(-0.0272181\pi\)
−0.491584 + 0.870830i \(0.663582\pi\)
\(312\) −2.18830 2.52544i −0.123888 0.142975i
\(313\) 32.5568 9.55955i 1.84022 0.540338i 0.840224 0.542240i \(-0.182424\pi\)
0.999998 + 0.00190234i \(0.000605534\pi\)
\(314\) 0.686392 4.77396i 0.0387353 0.269410i
\(315\) 2.35703 + 1.63334i 0.132804 + 0.0920283i
\(316\) 15.4709 + 7.06533i 0.870307 + 0.397456i
\(317\) 3.56166 + 1.04580i 0.200043 + 0.0587378i 0.380219 0.924897i \(-0.375849\pi\)
−0.180176 + 0.983634i \(0.557667\pi\)
\(318\) 0.207078 + 0.453437i 0.0116123 + 0.0254275i
\(319\) −8.33022 + 1.19770i −0.466403 + 0.0670586i
\(320\) −5.74628 3.69291i −0.321227 0.206440i
\(321\) 5.62042 0.313701
\(322\) −3.08370 + 1.49515i −0.171848 + 0.0833216i
\(323\) −29.0204 −1.61474
\(324\) −1.62114 1.04184i −0.0900633 0.0578802i
\(325\) 11.9288 1.71511i 0.661693 0.0951371i
\(326\) −2.55159 5.58721i −0.141320 0.309447i
\(327\) 2.97489 + 0.873506i 0.164512 + 0.0483050i
\(328\) −10.6709 4.87325i −0.589204 0.269080i
\(329\) 1.68707 2.43457i 0.0930113 0.134222i
\(330\) −0.187207 + 1.30205i −0.0103054 + 0.0716757i
\(331\) −4.66719 + 1.37041i −0.256532 + 0.0753246i −0.407470 0.913219i \(-0.633589\pi\)
0.150938 + 0.988543i \(0.451771\pi\)
\(332\) 0.915072 + 1.05605i 0.0502211 + 0.0579582i
\(333\) 4.00256 + 6.22811i 0.219339 + 0.341298i
\(334\) −1.24190 1.93243i −0.0679535 0.105738i
\(335\) 8.45630 7.32742i 0.462017 0.400340i
\(336\) −8.71727 + 3.62011i −0.475566 + 0.197493i
\(337\) −1.60868 0.231293i −0.0876302 0.0125993i 0.0983602 0.995151i \(-0.468640\pi\)
−0.185990 + 0.982552i \(0.559549\pi\)
\(338\) −0.543724 + 0.627491i −0.0295747 + 0.0341310i
\(339\) −3.67013 + 8.03645i −0.199334 + 0.436480i
\(340\) −10.5531 3.09866i −0.572320 0.168048i
\(341\) −12.5631 27.5093i −0.680328 1.48971i
\(342\) 0.211833 + 1.47333i 0.0114546 + 0.0796687i
\(343\) 4.53118 17.9574i 0.244661 0.969609i
\(344\) 1.49376i 0.0805381i
\(345\) 0.441036 5.17931i 0.0237446 0.278845i
\(346\) 2.62707i 0.141232i
\(347\) 18.0057 + 11.5716i 0.966598 + 0.621195i 0.925816 0.377974i \(-0.123379\pi\)
0.0407812 + 0.999168i \(0.487015\pi\)
\(348\) −3.57241 + 0.513636i −0.191502 + 0.0275338i
\(349\) 23.7180 10.8316i 1.26959 0.579804i 0.337262 0.941411i \(-0.390499\pi\)
0.932331 + 0.361607i \(0.117772\pi\)
\(350\) −0.482888 + 2.69048i −0.0258115 + 0.143812i
\(351\) 1.30878 2.86583i 0.0698575 0.152967i
\(352\) −10.4762 9.07771i −0.558385 0.483844i
\(353\) −13.1611 1.89228i −0.700495 0.100716i −0.217140 0.976140i \(-0.569673\pi\)
−0.483355 + 0.875424i \(0.660582\pi\)
\(354\) 3.30165 0.969452i 0.175481 0.0515258i
\(355\) −7.23684 8.35175i −0.384091 0.443265i
\(356\) −18.9522 + 12.1798i −1.00446 + 0.645530i
\(357\) −10.8401 + 8.75181i −0.573720 + 0.463195i
\(358\) 3.99878 + 4.61484i 0.211342 + 0.243902i
\(359\) 4.06200 + 13.8339i 0.214384 + 0.730125i 0.994523 + 0.104518i \(0.0333301\pi\)
−0.780139 + 0.625606i \(0.784852\pi\)
\(360\) −0.163607 + 1.13791i −0.00862283 + 0.0599731i
\(361\) −7.44704 + 8.59434i −0.391950 + 0.452334i
\(362\) −1.13469 + 2.48463i −0.0596382 + 0.130589i
\(363\) 2.58964 8.81950i 0.135921 0.462904i
\(364\) −8.20903 13.8069i −0.430270 0.723681i
\(365\) 14.8380 2.13338i 0.776657 0.111666i
\(366\) −1.70446 + 2.65220i −0.0890937 + 0.138633i
\(367\) 5.90645 0.308314 0.154157 0.988046i \(-0.450734\pi\)
0.154157 + 0.988046i \(0.450734\pi\)
\(368\) 13.5569 + 10.4381i 0.706702 + 0.544125i
\(369\) 11.0602i 0.575770i
\(370\) 1.17172 1.82323i 0.0609147 0.0947851i
\(371\) 1.21192 + 4.73028i 0.0629197 + 0.245584i
\(372\) −5.38767 11.7973i −0.279338 0.611664i
\(373\) 1.94395 6.62049i 0.100654 0.342796i −0.893733 0.448599i \(-0.851923\pi\)
0.994387 + 0.105803i \(0.0337413\pi\)
\(374\) −5.81336 2.65487i −0.300602 0.137280i
\(375\) −7.22904 6.26400i −0.373306 0.323472i
\(376\) 1.17534 + 0.168989i 0.0606137 + 0.00871494i
\(377\) −1.66239 5.66158i −0.0856175 0.291586i
\(378\) 0.523447 + 0.486458i 0.0269232 + 0.0250207i
\(379\) 2.26030 + 3.51710i 0.116104 + 0.180661i 0.894442 0.447185i \(-0.147573\pi\)
−0.778338 + 0.627846i \(0.783937\pi\)
\(380\) −9.68353 + 6.22322i −0.496754 + 0.319245i
\(381\) 6.67096 5.78042i 0.341763 0.296140i
\(382\) 1.45732 + 4.96319i 0.0745632 + 0.253939i
\(383\) 5.18273 36.0467i 0.264825 1.84190i −0.230353 0.973107i \(-0.573988\pi\)
0.495178 0.868792i \(-0.335103\pi\)
\(384\) −5.94919 5.15500i −0.303593 0.263065i
\(385\) −4.05823 + 12.2301i −0.206826 + 0.623306i
\(386\) 1.15119 + 0.338020i 0.0585940 + 0.0172048i
\(387\) −1.28107 + 0.585044i −0.0651203 + 0.0297395i
\(388\) 2.19933 + 15.2967i 0.111654 + 0.776571i
\(389\) −0.566956 + 0.882200i −0.0287458 + 0.0447293i −0.855329 0.518085i \(-0.826645\pi\)
0.826583 + 0.562814i \(0.190281\pi\)
\(390\) −0.922293 −0.0467021
\(391\) 23.5400 + 9.14514i 1.19047 + 0.462489i
\(392\) 7.25203 1.59141i 0.366283 0.0803782i
\(393\) −16.6504 10.7005i −0.839900 0.539771i
\(394\) −0.0734928 0.511154i −0.00370252 0.0257516i
\(395\) 8.70161 3.97389i 0.437826 0.199948i
\(396\) 2.43960 8.30851i 0.122594 0.417518i
\(397\) −2.14138 0.977934i −0.107473 0.0490811i 0.360953 0.932584i \(-0.382451\pi\)
−0.468426 + 0.883503i \(0.655179\pi\)
\(398\) 1.60436 1.85153i 0.0804194 0.0928089i
\(399\) −0.507169 + 14.5721i −0.0253902 + 0.729518i
\(400\) 13.0942 3.84481i 0.654710 0.192240i
\(401\) 16.9334 14.6729i 0.845614 0.732728i −0.119982 0.992776i \(-0.538284\pi\)
0.965596 + 0.260048i \(0.0837383\pi\)
\(402\) 2.34563 1.50745i 0.116990 0.0751846i
\(403\) 17.8376 11.4635i 0.888554 0.571039i
\(404\) −13.9943 + 12.1261i −0.696242 + 0.603297i
\(405\) −1.03996 + 0.305361i −0.0516763 + 0.0151735i
\(406\) 1.33754 + 0.0465517i 0.0663808 + 0.00231032i
\(407\) −21.7854 + 25.1417i −1.07986 + 1.24623i
\(408\) −5.08050 2.32019i −0.251522 0.114866i
\(409\) 1.29893 4.42376i 0.0642281 0.218741i −0.921125 0.389267i \(-0.872728\pi\)
0.985353 + 0.170526i \(0.0545467\pi\)
\(410\) −2.94519 + 1.34502i −0.145452 + 0.0664259i
\(411\) 0.399688 + 2.77989i 0.0197151 + 0.137122i
\(412\) −16.1588 10.3846i −0.796086 0.511613i
\(413\) 33.5114 3.63369i 1.64899 0.178802i
\(414\) 0.292459 1.26185i 0.0143736 0.0620168i
\(415\) 0.785941 0.0385803
\(416\) 5.25452 8.17619i 0.257624 0.400871i
\(417\) −1.63948 11.4029i −0.0802858 0.558400i
\(418\) −6.08412 + 2.77852i −0.297584 + 0.135902i
\(419\) 22.6903 + 6.66248i 1.10849 + 0.325483i 0.784222 0.620480i \(-0.213062\pi\)
0.324273 + 0.945964i \(0.394880\pi\)
\(420\) −1.74037 + 5.24490i −0.0849214 + 0.255925i
\(421\) 0.466757 + 0.404448i 0.0227484 + 0.0197116i 0.666161 0.745808i \(-0.267936\pi\)
−0.643412 + 0.765520i \(0.722482\pi\)
\(422\) 0.728078 5.06390i 0.0354423 0.246507i
\(423\) 0.315407 + 1.07418i 0.0153356 + 0.0522282i
\(424\) −1.47943 + 1.28194i −0.0718477 + 0.0622564i
\(425\) 16.9454 10.8901i 0.821970 0.528248i
\(426\) −1.48881 2.31663i −0.0721331 0.112241i
\(427\) −21.0237 + 22.6223i −1.01741 + 1.09477i
\(428\) 3.05140 + 10.3921i 0.147495 + 0.502322i
\(429\) 14.0129 + 2.01476i 0.676551 + 0.0972733i
\(430\) 0.311579 + 0.269985i 0.0150257 + 0.0130198i
\(431\) 9.67073 + 4.41648i 0.465823 + 0.212734i 0.634478 0.772941i \(-0.281215\pi\)
−0.168655 + 0.985675i \(0.553942\pi\)
\(432\) 1.00512 3.42312i 0.0483588 0.164695i
\(433\) −7.20625 15.7795i −0.346310 0.758314i −0.999999 0.00154997i \(-0.999507\pi\)
0.653689 0.756764i \(-0.273221\pi\)
\(434\) 1.19361 + 4.65882i 0.0572951 + 0.223631i
\(435\) −1.09748 + 1.70772i −0.0526202 + 0.0818787i
\(436\) 5.97479i 0.286140i
\(437\) 23.3667 12.3512i 1.11778 0.590838i
\(438\) 3.73550 0.178489
\(439\) −7.28174 + 11.3306i −0.347538 + 0.540780i −0.970385 0.241564i \(-0.922340\pi\)
0.622847 + 0.782344i \(0.285976\pi\)
\(440\) −5.11324 + 0.735172i −0.243764 + 0.0350480i
\(441\) 4.20513 + 5.59615i 0.200244 + 0.266483i
\(442\) 1.26240 4.29932i 0.0600460 0.204498i
\(443\) −2.45335 + 5.37209i −0.116562 + 0.255236i −0.958916 0.283689i \(-0.908442\pi\)
0.842354 + 0.538924i \(0.181169\pi\)
\(444\) −9.34269 + 10.7820i −0.443384 + 0.511693i
\(445\) −1.80329 + 12.5422i −0.0854843 + 0.594556i
\(446\) 1.70690 + 5.81317i 0.0808241 + 0.275262i
\(447\) 7.60005 + 8.77092i 0.359470 + 0.414850i
\(448\) −10.4740 12.9733i −0.494852 0.612931i
\(449\) 8.93655 5.74317i 0.421742 0.271037i −0.312510 0.949915i \(-0.601170\pi\)
0.734252 + 0.678877i \(0.237533\pi\)
\(450\) −0.676572 0.780805i −0.0318939 0.0368075i
\(451\) 47.6861 14.0019i 2.24545 0.659324i
\(452\) −16.8519 2.42294i −0.792647 0.113965i
\(453\) 6.57593 + 5.69807i 0.308964 + 0.267719i
\(454\) −1.19700 + 2.62106i −0.0561780 + 0.123013i
\(455\) −8.89253 1.59604i −0.416888 0.0748234i
\(456\) −5.31712 + 2.42825i −0.248997 + 0.113713i
\(457\) −32.2218 + 4.63280i −1.50727 + 0.216713i −0.845899 0.533344i \(-0.820935\pi\)
−0.661374 + 0.750057i \(0.730026\pi\)
\(458\) 0.795095 + 0.510976i 0.0371523 + 0.0238764i
\(459\) 5.26583i 0.245788i
\(460\) 9.81595 1.99644i 0.457671 0.0930847i
\(461\) 4.03455i 0.187908i 0.995577 + 0.0939540i \(0.0299507\pi\)
−0.995577 + 0.0939540i \(0.970049\pi\)
\(462\) −1.43470 + 2.87269i −0.0667483 + 0.133650i
\(463\) −4.02965 28.0268i −0.187274 1.30252i −0.839028 0.544088i \(-0.816876\pi\)
0.651755 0.758430i \(-0.274033\pi\)
\(464\) −2.77571 6.07795i −0.128859 0.282162i
\(465\) −6.99913 2.05513i −0.324577 0.0953043i
\(466\) −1.39581 + 3.05639i −0.0646594 + 0.141584i
\(467\) −2.48941 + 2.87293i −0.115196 + 0.132943i −0.810419 0.585851i \(-0.800760\pi\)
0.695223 + 0.718795i \(0.255306\pi\)
\(468\) 6.00945 + 0.864028i 0.277787 + 0.0399397i
\(469\) 25.2247 10.4753i 1.16477 0.483705i
\(470\) 0.247683 0.214619i 0.0114248 0.00989961i
\(471\) 9.65436 + 15.0225i 0.444849 + 0.692199i
\(472\) 7.30575 + 11.3680i 0.336274 + 0.523253i
\(473\) −4.14422 4.78269i −0.190552 0.219908i
\(474\) 2.28721 0.671586i 0.105055 0.0308470i
\(475\) 3.00016 20.8665i 0.137657 0.957422i
\(476\) −22.0673 15.2918i −1.01145 0.700900i
\(477\) −1.67884 0.766701i −0.0768688 0.0351048i
\(478\) −2.96093 0.869409i −0.135430 0.0397658i
\(479\) 4.15124 + 9.08995i 0.189675 + 0.415330i 0.980448 0.196780i \(-0.0630483\pi\)
−0.790773 + 0.612110i \(0.790321\pi\)
\(480\) −3.30958 + 0.475846i −0.151061 + 0.0217193i
\(481\) −19.6219 12.6102i −0.894681 0.574977i
\(482\) −5.13272 −0.233789
\(483\) 5.00348 11.6604i 0.227666 0.530567i
\(484\) 17.7131 0.805143
\(485\) 7.31224 + 4.69929i 0.332032 + 0.213384i
\(486\) −0.267340 + 0.0384377i −0.0121268 + 0.00174357i
\(487\) 8.16380 + 17.8762i 0.369937 + 0.810049i 0.999453 + 0.0330617i \(0.0105258\pi\)
−0.629516 + 0.776987i \(0.716747\pi\)
\(488\) −11.8792 3.48805i −0.537746 0.157897i
\(489\) 20.6865 + 9.44722i 0.935477 + 0.427218i
\(490\) 0.978798 1.80032i 0.0442176 0.0813300i
\(491\) 4.89665 34.0570i 0.220983 1.53697i −0.513350 0.858180i \(-0.671596\pi\)
0.734333 0.678790i \(-0.237495\pi\)
\(492\) 20.4502 6.00472i 0.921967 0.270714i
\(493\) −6.45843 7.45343i −0.290873 0.335685i
\(494\) −2.53534 3.94507i −0.114071 0.177497i
\(495\) −2.63314 4.09724i −0.118351 0.184157i
\(496\) 18.1461 15.7237i 0.814784 0.706014i
\(497\) −10.3458 24.9128i −0.464073 1.11749i
\(498\) 0.193855 + 0.0278722i 0.00868686 + 0.00124898i
\(499\) 8.97398 10.3565i 0.401731 0.463622i −0.518455 0.855105i \(-0.673492\pi\)
0.920185 + 0.391483i \(0.128038\pi\)
\(500\) 7.65735 16.7673i 0.342447 0.749854i
\(501\) 8.16038 + 2.39610i 0.364579 + 0.107050i
\(502\) 1.16368 + 2.54811i 0.0519377 + 0.113728i
\(503\) 3.88849 + 27.0450i 0.173379 + 1.20588i 0.871681 + 0.490074i \(0.163030\pi\)
−0.698302 + 0.715804i \(0.746061\pi\)
\(504\) −1.25383 + 2.51054i −0.0558502 + 0.111828i
\(505\) 10.4149i 0.463458i
\(506\) 5.81075 0.336534i 0.258319 0.0149608i
\(507\) 3.07413i 0.136527i
\(508\) 14.3097 + 9.19628i 0.634890 + 0.408019i
\(509\) −2.11143 + 0.303578i −0.0935875 + 0.0134558i −0.188949 0.981987i \(-0.560508\pi\)
0.0953620 + 0.995443i \(0.469599\pi\)
\(510\) −1.40222 + 0.640373i −0.0620914 + 0.0283562i
\(511\) 36.0169 + 6.46433i 1.59329 + 0.285965i
\(512\) 7.71584 16.8953i 0.340995 0.746675i
\(513\) −4.16499 3.60899i −0.183889 0.159341i
\(514\) −7.34085 1.05546i −0.323791 0.0465541i
\(515\) −10.3659 + 3.04370i −0.456776 + 0.134122i
\(516\) −1.77725 2.05106i −0.0782391 0.0902928i
\(517\) −4.23203 + 2.71976i −0.186124 + 0.119615i
\(518\) 4.11628 3.32329i 0.180859 0.146017i
\(519\) 6.36962 + 7.35093i 0.279595 + 0.322670i
\(520\) −1.02040 3.47518i −0.0447477 0.152397i
\(521\) 5.45094 37.9121i 0.238810 1.66096i −0.419158 0.907913i \(-0.637675\pi\)
0.657968 0.753046i \(-0.271416\pi\)
\(522\) −0.331259 + 0.382294i −0.0144988 + 0.0167325i
\(523\) 6.97867 15.2812i 0.305156 0.668199i −0.693476 0.720479i \(-0.743922\pi\)
0.998632 + 0.0522808i \(0.0166491\pi\)
\(524\) 10.7455 36.5959i 0.469420 1.59870i
\(525\) −5.17216 8.69916i −0.225731 0.379662i
\(526\) −1.66819 + 0.239850i −0.0727367 + 0.0104580i
\(527\) 19.1602 29.8139i 0.834632 1.29871i
\(528\) 16.0313 0.697671
\(529\) −22.8462 + 2.65522i −0.993314 + 0.115444i
\(530\) 0.540291i 0.0234688i
\(531\) −6.88796 + 10.7179i −0.298912 + 0.465116i
\(532\) −27.2191 + 6.97364i −1.18010 + 0.302346i
\(533\) 14.4754 + 31.6966i 0.626997 + 1.37293i
\(534\) −0.889577 + 3.02962i −0.0384958 + 0.131105i
\(535\) 5.54130 + 2.53063i 0.239571 + 0.109409i
\(536\) 8.27518 + 7.17049i 0.357433 + 0.309718i
\(537\) −22.3783 3.21752i −0.965697 0.138846i
\(538\) 0.979761 + 3.33676i 0.0422405 + 0.143858i
\(539\) −18.8043 + 25.2151i −0.809957 + 1.08609i
\(540\) −1.12922 1.75710i −0.0485940 0.0756137i
\(541\) −38.3527 + 24.6478i −1.64891 + 1.05969i −0.716957 + 0.697117i \(0.754466\pi\)
−0.931955 + 0.362574i \(0.881898\pi\)
\(542\) −0.263678 + 0.228478i −0.0113259 + 0.00981398i
\(543\) −2.84922 9.70355i −0.122272 0.416419i
\(544\) 2.31183 16.0791i 0.0991190 0.689388i
\(545\) 2.53971 + 2.20067i 0.108789 + 0.0942663i
\(546\) −2.13677 0.709028i −0.0914455 0.0303436i
\(547\) 11.3960 + 3.34618i 0.487260 + 0.143072i 0.516129 0.856511i \(-0.327372\pi\)
−0.0288693 + 0.999583i \(0.509191\pi\)
\(548\) −4.92300 + 2.24826i −0.210300 + 0.0960408i
\(549\) −1.66120 11.5539i −0.0708982 0.493108i
\(550\) 2.50993 3.90553i 0.107024 0.166532i
\(551\) −10.3216 −0.439716
\(552\) 5.07821 0.294109i 0.216143 0.0125181i
\(553\) 23.2150 2.51723i 0.987201 0.107044i
\(554\) 2.79829 + 1.79835i 0.118888 + 0.0764046i
\(555\) 1.14198 + 7.94261i 0.0484741 + 0.337145i
\(556\) 20.1937 9.22215i 0.856403 0.391106i
\(557\) 1.50719 5.13302i 0.0638617 0.217493i −0.921380 0.388664i \(-0.872937\pi\)
0.985241 + 0.171171i \(0.0547550\pi\)
\(558\) −1.65348 0.755118i −0.0699973 0.0319667i
\(559\) 2.90563 3.35327i 0.122895 0.141828i
\(560\) −10.2245 0.355855i −0.432065 0.0150376i
\(561\) 22.7037 6.66640i 0.958550 0.281456i
\(562\) −4.84778 + 4.20063i −0.204491 + 0.177193i
\(563\) −11.6071 + 7.45945i −0.489182 + 0.314378i −0.761876 0.647722i \(-0.775722\pi\)
0.272694 + 0.962101i \(0.412085\pi\)
\(564\) −1.81491 + 1.16637i −0.0764213 + 0.0491130i
\(565\) −7.23692 + 6.27082i −0.304459 + 0.263816i
\(566\) −2.49463 + 0.732488i −0.104857 + 0.0307888i
\(567\) −2.64415 0.0920273i −0.111044 0.00386478i
\(568\) 7.08184 8.17288i 0.297147 0.342926i
\(569\) 21.2851 + 9.72056i 0.892316 + 0.407507i 0.808172 0.588946i \(-0.200457\pi\)
0.0841443 + 0.996454i \(0.473184\pi\)
\(570\) −0.454525 + 1.54797i −0.0190380 + 0.0648373i
\(571\) −43.2169 + 19.7365i −1.80857 + 0.825946i −0.859309 + 0.511457i \(0.829106\pi\)
−0.949261 + 0.314489i \(0.898167\pi\)
\(572\) 3.88254 + 27.0036i 0.162337 + 1.12908i
\(573\) −16.1116 10.3543i −0.673072 0.432557i
\(574\) −7.85744 + 0.851994i −0.327963 + 0.0355616i
\(575\) −9.00923 + 15.9806i −0.375711 + 0.666435i
\(576\) 6.30207 0.262586
\(577\) −7.29062 + 11.3444i −0.303513 + 0.472275i −0.959188 0.282768i \(-0.908747\pi\)
0.655676 + 0.755043i \(0.272384\pi\)
\(578\) −0.412395 2.86827i −0.0171534 0.119304i
\(579\) −4.04076 + 1.84535i −0.167928 + 0.0766903i
\(580\) −3.75339 1.10209i −0.155851 0.0457620i
\(581\) 1.82087 + 0.604205i 0.0755426 + 0.0250667i
\(582\) 1.63694 + 1.41841i 0.0678532 + 0.0587952i
\(583\) 1.18027 8.20896i 0.0488818 0.339981i
\(584\) 4.13288 + 14.0753i 0.171020 + 0.582440i
\(585\) 2.58071 2.23620i 0.106699 0.0924554i
\(586\) 0.491664 0.315973i 0.0203104 0.0130527i
\(587\) −0.327769 0.510018i −0.0135285 0.0210507i 0.834423 0.551124i \(-0.185801\pi\)
−0.847952 + 0.530073i \(0.822164\pi\)
\(588\) −8.06421 + 10.8135i −0.332562 + 0.445941i
\(589\) −10.4496 35.5880i −0.430567 1.46638i
\(590\) 3.69167 + 0.530782i 0.151984 + 0.0218520i
\(591\) 1.44499 + 1.25209i 0.0594390 + 0.0515042i
\(592\) −24.0257 10.9722i −0.987448 0.450953i
\(593\) −5.35710 + 18.2446i −0.219990 + 0.749217i 0.773348 + 0.633981i \(0.218580\pi\)
−0.993338 + 0.115235i \(0.963238\pi\)
\(594\) −0.504171 1.10398i −0.0206864 0.0452968i
\(595\) −14.6281 + 3.74777i −0.599692 + 0.153644i
\(596\) −12.0912 + 18.8143i −0.495275 + 0.770663i
\(597\) 9.07080i 0.371243i
\(598\) 0.813352 + 3.99902i 0.0332605 + 0.163532i
\(599\) −45.3081 −1.85124 −0.925620 0.378453i \(-0.876456\pi\)
−0.925620 + 0.378453i \(0.876456\pi\)
\(600\) 2.19351 3.41317i 0.0895498 0.139342i
\(601\) 5.12812 0.737313i 0.209181 0.0300756i −0.0369278 0.999318i \(-0.511757\pi\)
0.246108 + 0.969242i \(0.420848\pi\)
\(602\) 0.514314 + 0.865035i 0.0209619 + 0.0352562i
\(603\) −2.90846 + 9.90529i −0.118441 + 0.403375i
\(604\) −6.96554 + 15.2524i −0.283424 + 0.620611i
\(605\) 6.52421 7.52934i 0.265247 0.306111i
\(606\) −0.369349 + 2.56888i −0.0150038 + 0.104354i
\(607\) 3.79079 + 12.9103i 0.153864 + 0.524011i 0.999959 0.00901974i \(-0.00287111\pi\)
−0.846096 + 0.533031i \(0.821053\pi\)
\(608\) −11.1333 12.8485i −0.451516 0.521077i
\(609\) −3.85549 + 3.11274i −0.156232 + 0.126135i
\(610\) −2.87463 + 1.84742i −0.116391 + 0.0747997i
\(611\) −2.30976 2.66561i −0.0934429 0.107839i
\(612\) 9.73647 2.85889i 0.393574 0.115564i
\(613\) 7.30054 + 1.04966i 0.294866 + 0.0423953i 0.288160 0.957582i \(-0.406956\pi\)
0.00670569 + 0.999978i \(0.497865\pi\)
\(614\) −3.40435 2.94989i −0.137389 0.119048i
\(615\) 4.97991 10.9045i 0.200809 0.439711i
\(616\) −12.4116 2.22763i −0.500076 0.0897539i
\(617\) 33.3461 15.2286i 1.34246 0.613082i 0.390871 0.920446i \(-0.372174\pi\)
0.951592 + 0.307363i \(0.0994467\pi\)
\(618\) −2.66473 + 0.383130i −0.107191 + 0.0154117i
\(619\) 11.1866 + 7.18916i 0.449626 + 0.288957i 0.745791 0.666180i \(-0.232072\pi\)
−0.296166 + 0.955137i \(0.595708\pi\)
\(620\) 14.0571i 0.564546i
\(621\) 2.24116 + 4.23995i 0.0899346 + 0.170143i
\(622\) 4.44699i 0.178308i
\(623\) −13.8199 + 27.6715i −0.553682 + 1.10863i
\(624\) 1.59961 + 11.1255i 0.0640357 + 0.445378i
\(625\) 3.63841 + 7.96701i 0.145537 + 0.318681i
\(626\) 8.79326 + 2.58193i 0.351449 + 0.103195i
\(627\) 10.2874 22.5263i 0.410840 0.899614i
\(628\) −22.5350 + 26.0067i −0.899243 + 1.03778i
\(629\) −38.5881 5.54812i −1.53861 0.221218i
\(630\) 0.297047 + 0.715295i 0.0118347 + 0.0284980i
\(631\) 5.37572 4.65809i 0.214004 0.185435i −0.541262 0.840854i \(-0.682053\pi\)
0.755266 + 0.655419i \(0.227508\pi\)
\(632\) 5.06104 + 7.87514i 0.201318 + 0.313256i
\(633\) 10.2407 + 15.9348i 0.407031 + 0.633353i
\(634\) 0.656549 + 0.757698i 0.0260749 + 0.0300920i
\(635\) 9.17971 2.69541i 0.364286 0.106964i
\(636\) 0.506159 3.52041i 0.0200705 0.139594i
\(637\) −19.3753 10.5340i −0.767678 0.417372i
\(638\) −2.06763 0.944255i −0.0818582 0.0373834i
\(639\) 9.78283 + 2.87250i 0.387003 + 0.113634i
\(640\) −3.54437 7.76108i −0.140103 0.306784i
\(641\) 25.9394 3.72952i 1.02454 0.147307i 0.390499 0.920603i \(-0.372302\pi\)
0.634045 + 0.773296i \(0.281393\pi\)
\(642\) 1.27704 + 0.820702i 0.0504006 + 0.0323905i
\(643\) 18.8578 0.743678 0.371839 0.928297i \(-0.378727\pi\)
0.371839 + 0.928297i \(0.378727\pi\)
\(644\) 24.2765 + 2.92080i 0.956627 + 0.115096i
\(645\) −1.52645 −0.0601040
\(646\) −6.59382 4.23759i −0.259430 0.166726i
\(647\) −13.4429 + 1.93280i −0.528496 + 0.0759863i −0.401398 0.915904i \(-0.631475\pi\)
−0.127098 + 0.991890i \(0.540566\pi\)
\(648\) −0.440612 0.964806i −0.0173089 0.0379011i
\(649\) −54.9302 16.1290i −2.15620 0.633117i
\(650\) 2.96084 + 1.35217i 0.116134 + 0.0530365i
\(651\) −14.6357 10.1420i −0.573619 0.397498i
\(652\) −6.23685 + 43.3783i −0.244254 + 1.69882i
\(653\) −17.4593 + 5.12651i −0.683235 + 0.200616i −0.604888 0.796310i \(-0.706782\pi\)
−0.0783464 + 0.996926i \(0.524964\pi\)
\(654\) 0.548385 + 0.632870i 0.0214435 + 0.0247472i
\(655\) −11.5980 18.0468i −0.453171 0.705147i
\(656\) 21.3330 + 33.1948i 0.832913 + 1.29604i
\(657\) −10.4525 + 9.05713i −0.407790 + 0.353352i
\(658\) 0.738825 0.306819i 0.0288024 0.0119611i
\(659\) 7.42513 + 1.06757i 0.289242 + 0.0415867i 0.285409 0.958406i \(-0.407871\pi\)
0.00383348 + 0.999993i \(0.498780\pi\)
\(660\) 6.14621 7.09310i 0.239241 0.276099i
\(661\) 7.89523 17.2882i 0.307089 0.672431i −0.691671 0.722213i \(-0.743125\pi\)
0.998760 + 0.0497815i \(0.0158525\pi\)
\(662\) −1.26056 0.370133i −0.0489930 0.0143856i
\(663\) 6.89181 + 15.0909i 0.267656 + 0.586084i
\(664\) 0.109455 + 0.761279i 0.00424769 + 0.0295434i
\(665\) −7.06120 + 14.1386i −0.273822 + 0.548272i
\(666\) 1.99957i 0.0774818i
\(667\) 8.37243 + 3.25264i 0.324182 + 0.125943i
\(668\) 16.3894i 0.634123i
\(669\) −18.8708 12.1275i −0.729588 0.468878i
\(670\) 2.99135 0.430091i 0.115566 0.0166159i
\(671\) 47.7117 21.7892i 1.84189 0.841163i
\(672\) −8.03348 1.44185i −0.309898 0.0556207i
\(673\) −3.26764 + 7.15514i −0.125958 + 0.275810i −0.962097 0.272708i \(-0.912081\pi\)
0.836138 + 0.548518i \(0.184808\pi\)
\(674\) −0.331740 0.287454i −0.0127781 0.0110723i
\(675\) 3.78629 + 0.544387i 0.145734 + 0.0209535i
\(676\) 5.68404 1.66898i 0.218617 0.0641917i
\(677\) −1.86548 2.15288i −0.0716963 0.0827420i 0.718768 0.695250i \(-0.244706\pi\)
−0.790465 + 0.612508i \(0.790161\pi\)
\(678\) −2.00740 + 1.29008i −0.0770936 + 0.0495450i
\(679\) 13.3284 + 16.5088i 0.511497 + 0.633548i
\(680\) −3.96430 4.57505i −0.152024 0.175445i
\(681\) −3.00567 10.2364i −0.115178 0.392259i
\(682\) 1.16244 8.08495i 0.0445122 0.309589i
\(683\) 4.52163 5.21824i 0.173015 0.199670i −0.662619 0.748957i \(-0.730555\pi\)
0.835634 + 0.549287i \(0.185100\pi\)
\(684\) 4.41176 9.66041i 0.168688 0.369375i
\(685\) −0.857599 + 2.92072i −0.0327672 + 0.111595i
\(686\) 3.65171 3.41852i 0.139423 0.130520i
\(687\) −3.46371 + 0.498006i −0.132149 + 0.0190001i
\(688\) 2.71641 4.22682i 0.103562 0.161146i
\(689\) 5.81471 0.221523
\(690\) 0.856499 1.11241i 0.0326064 0.0423487i
\(691\) 1.87878i 0.0714722i 0.999361 + 0.0357361i \(0.0113776\pi\)
−0.999361 + 0.0357361i \(0.988622\pi\)
\(692\) −10.1337 + 15.7683i −0.385224 + 0.599421i
\(693\) −2.95065 11.5168i −0.112086 0.437487i
\(694\) 2.40145 + 5.25844i 0.0911577 + 0.199608i
\(695\) 3.51780 11.9805i 0.133438 0.454447i
\(696\) −1.80697 0.825217i −0.0684931 0.0312798i
\(697\) 44.0156 + 38.1398i 1.66721 + 1.44465i
\(698\) 6.97069 + 1.00223i 0.263845 + 0.0379351i
\(699\) −3.50487 11.9365i −0.132566 0.451480i
\(700\) 13.2766 14.2862i 0.501810 0.539966i
\(701\) −20.2576 31.5215i −0.765120 1.19055i −0.976997 0.213253i \(-0.931594\pi\)
0.211877 0.977296i \(-0.432042\pi\)
\(702\) 0.715845 0.460045i 0.0270178 0.0173633i
\(703\) −30.8350 + 26.7187i −1.16296 + 1.00771i
\(704\) 7.97826 + 27.1714i 0.300692 + 1.02406i
\(705\) −0.172687 + 1.20107i −0.00650379 + 0.0452348i
\(706\) −2.71407 2.35175i −0.102145 0.0885094i
\(707\) −8.00665 + 24.1294i −0.301121 + 0.907479i
\(708\) −23.5568 6.91691i −0.885320 0.259953i
\(709\) −36.7527 + 16.7844i −1.38027 + 0.630350i −0.960756 0.277396i \(-0.910529\pi\)
−0.419519 + 0.907746i \(0.637801\pi\)
\(710\) −0.424774 2.95437i −0.0159415 0.110875i
\(711\) −4.77162 + 7.42479i −0.178950 + 0.278451i
\(712\) −12.3998 −0.464701
\(713\) −2.73856 + 32.1603i −0.102560 + 1.20441i
\(714\) −3.74097 + 0.405640i −0.140002 + 0.0151807i
\(715\) 12.9085 + 8.29579i 0.482751 + 0.310245i
\(716\) −6.20033 43.1242i −0.231717 1.61163i
\(717\) 10.3931 4.74637i 0.388138 0.177256i
\(718\) −1.09710 + 3.73639i −0.0409435 + 0.139441i
\(719\) −28.7094 13.1112i −1.07068 0.488964i −0.199486 0.979901i \(-0.563927\pi\)
−0.871195 + 0.490937i \(0.836655\pi\)
\(720\) 2.53225 2.92237i 0.0943712 0.108910i
\(721\) −26.3557 0.917286i −0.981537 0.0341615i
\(722\) −2.94703 + 0.865325i −0.109677 + 0.0322041i
\(723\) 14.3621 12.4448i 0.534133 0.462829i
\(724\) 16.3949 10.5364i 0.609312 0.391581i
\(725\) 6.02693 3.87327i 0.223834 0.143850i
\(726\) 1.87624 1.62577i 0.0696337 0.0603379i
\(727\) −33.7177 + 9.90040i −1.25052 + 0.367186i −0.838958 0.544196i \(-0.816835\pi\)
−0.411562 + 0.911382i \(0.635016\pi\)
\(728\) 0.307521 8.83577i 0.0113975 0.327476i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) 3.68292 + 1.68193i 0.136311 + 0.0622511i
\(731\) 2.08934 7.11565i 0.0772772 0.263182i
\(732\) 20.4612 9.34430i 0.756267 0.345375i
\(733\) 4.24969 + 29.5572i 0.156966 + 1.09172i 0.904184 + 0.427143i \(0.140480\pi\)
−0.747218 + 0.664579i \(0.768611\pi\)
\(734\) 1.34202 + 0.862467i 0.0495350 + 0.0318342i
\(735\) 1.62624 + 7.41075i 0.0599847 + 0.273350i
\(736\) 4.98191 + 13.9306i 0.183636 + 0.513488i
\(737\) −46.3888 −1.70875
\(738\) 1.61502 2.51303i 0.0594498 0.0925058i
\(739\) 3.72120 + 25.8815i 0.136887 + 0.952067i 0.936279 + 0.351257i \(0.114246\pi\)
−0.799392 + 0.600809i \(0.794845\pi\)
\(740\) −14.0658 + 6.42365i −0.517070 + 0.236138i
\(741\) 16.6595 + 4.89168i 0.612003 + 0.179700i
\(742\) −0.415358 + 1.25175i −0.0152483 + 0.0459532i
\(743\) −7.25393 6.28557i −0.266121 0.230595i 0.511570 0.859241i \(-0.329064\pi\)
−0.777691 + 0.628646i \(0.783609\pi\)
\(744\) 1.01590 7.06572i 0.0372446 0.259042i
\(745\) 3.54390 + 12.0694i 0.129838 + 0.442189i
\(746\) 1.40843 1.22041i 0.0515661 0.0446823i
\(747\) −0.610014 + 0.392032i −0.0223192 + 0.0143437i
\(748\) 24.6522 + 38.3596i 0.901376 + 1.40257i
\(749\) 10.8927 + 10.1229i 0.398009 + 0.369884i
\(750\) −0.727859 2.47886i −0.0265777 0.0905152i
\(751\) −23.5208 3.38177i −0.858284 0.123403i −0.300898 0.953656i \(-0.597287\pi\)
−0.557386 + 0.830254i \(0.688196\pi\)
\(752\) −3.01850 2.61555i −0.110074 0.0953792i
\(753\) −9.43432 4.30851i −0.343806 0.157011i
\(754\) 0.448994 1.52913i 0.0163514 0.0556877i
\(755\) 3.91776 + 8.57870i 0.142582 + 0.312211i
\(756\) −1.26539 4.93898i −0.0460217 0.179629i
\(757\) −5.87141 + 9.13609i −0.213400 + 0.332057i −0.931407 0.363979i \(-0.881418\pi\)
0.718007 + 0.696036i \(0.245054\pi\)
\(758\) 1.12918i 0.0410138i
\(759\) −15.4434 + 15.0305i −0.560559 + 0.545571i
\(760\) −6.33559 −0.229816
\(761\) −15.0257 + 23.3805i −0.544682 + 0.847541i −0.999064 0.0432657i \(-0.986224\pi\)
0.454382 + 0.890807i \(0.349860\pi\)
\(762\) 2.35980 0.339287i 0.0854864 0.0122911i
\(763\) 4.19221 + 7.05097i 0.151768 + 0.255262i
\(764\) 10.3978 35.4117i 0.376180 1.28115i
\(765\) 2.37097 5.19169i 0.0857225 0.187706i
\(766\) 6.44117 7.43351i 0.232729 0.268584i
\(767\) 5.71237 39.7304i 0.206262 1.43458i
\(768\) 2.95200 + 10.0536i 0.106521 + 0.362778i
\(769\) 12.0360 + 13.8903i 0.434030 + 0.500897i 0.930060 0.367408i \(-0.119755\pi\)
−0.496030 + 0.868305i \(0.665209\pi\)
\(770\) −2.70795 + 2.18627i −0.0975876 + 0.0787876i
\(771\) 23.0998 14.8454i 0.831921 0.534643i
\(772\) −5.60583 6.46947i −0.201758 0.232841i
\(773\) 35.6254 10.4606i