Properties

Label 483.2.r.a.34.20
Level $483$
Weight $2$
Character 483.34
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 34.20
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.227214 - 0.146021i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.800526 + 1.75291i) q^{4} +(1.03996 - 0.305361i) q^{5} +(0.245682 - 0.112199i) q^{6} +(-1.80110 + 1.93805i) q^{7} +(0.150947 + 1.04986i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(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} +(-1.80110 + 1.93805i) 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} +(-0.126238 + 0.703351i) 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} +(-2.05858 + 1.66200i) 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} +(-1.95540 - 4.70862i) 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} +(-1.28128 + 2.56549i) 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} +(-0.225050 + 0.678226i) 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} +(-0.512079 - 6.98124i) 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} +(-2.30655 - 1.59836i) 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} +(-2.27415 + 1.35212i) 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} +(2.95065 + 11.5168i) 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} +(-1.26539 - 4.93898i) 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} +(-1.13576 - 1.51146i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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 −0.457838 0.889036i \(-0.651376\pi\)
0.618502 + 0.785783i \(0.287740\pi\)
\(3\) 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 \(-0.512987\pi\)
0.505876 + 0.862606i \(0.331169\pi\)
\(6\) 0.245682 0.112199i 0.100299 0.0458051i
\(7\) −1.80110 + 1.93805i −0.680752 + 0.732514i
\(8\) 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 −0.252575 0.967577i \(-0.581277\pi\)
0.985063 0.172196i \(-0.0550862\pi\)
\(12\) −1.04184 + 1.62114i −0.300754 + 0.467983i
\(13\) 2.38102 + 2.06316i 0.660375 + 0.572218i 0.919241 0.393695i \(-0.128803\pi\)
−0.258866 + 0.965913i \(0.583349\pi\)
\(14\) −0.126238 + 0.703351i −0.0337385 + 0.187978i
\(15\) 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 0.965290 + 0.261182i \(0.0841122\pi\)
−0.434742 + 0.900555i \(0.643161\pi\)
\(18\) 0.259149 0.0760930i 0.0610820 0.0179353i
\(19\) −2.28938 + 5.01305i −0.525221 + 1.15007i 0.442204 + 0.896914i \(0.354197\pi\)
−0.967425 + 0.253158i \(0.918531\pi\)
\(20\) −0.297249 + 2.06741i −0.0664669 + 0.462287i
\(21\) −2.05858 + 1.66200i −0.449219 + 0.362678i
\(22\) 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
\(28\) −1.95540 4.70862i −0.369535 0.889846i
\(29\) −0.778025 1.70364i −0.144476 0.316358i 0.823535 0.567265i \(-0.191998\pi\)
−0.968011 + 0.250907i \(0.919271\pi\)
\(30\) 0.221239 0.191705i 0.0403926 0.0350004i
\(31\) 6.66165 0.957801i 1.19647 0.172026i 0.484853 0.874596i \(-0.338873\pi\)
0.711615 + 0.702569i \(0.247964\pi\)
\(32\) −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
\(35\) −1.28128 + 2.56549i −0.216575 + 0.433647i
\(36\) −1.26195 + 1.45637i −0.210325 + 0.242728i
\(37\) 2.08577 7.10348i 0.342899 1.16781i −0.589921 0.807461i \(-0.700841\pi\)
0.932819 0.360344i \(-0.117341\pi\)
\(38\) 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 −0.726983 0.686655i \(-0.759078\pi\)
0.240343 0.970688i \(-0.422740\pi\)
\(42\) −0.225050 + 0.678226i −0.0347260 + 0.104653i
\(43\) −1.39400 0.200427i −0.212583 0.0305649i 0.0352003 0.999380i \(-0.488793\pi\)
−0.247784 + 0.968815i \(0.579702\pi\)
\(44\) 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
\(49\) −0.512079 6.98124i −0.0731541 0.997321i
\(50\) −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 −0.745376 0.666645i \(-0.767730\pi\)
0.553781 + 0.832662i \(0.313184\pi\)
\(54\) 0.267340 0.0384377i 0.0363804 0.00523071i
\(55\) 1.37215 4.67312i 0.185021 0.630123i
\(56\) −2.30655 1.59836i −0.308226 0.213590i
\(57\) −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 0.992676 + 0.120808i \(0.0385486\pi\)
0.260851 + 0.965379i \(0.415997\pi\)
\(60\) −0.588447 + 2.00407i −0.0759682 + 0.258724i
\(61\) −1.66120 11.5539i −0.212695 1.47932i −0.764106 0.645090i \(-0.776820\pi\)
0.551412 0.834233i \(-0.314089\pi\)
\(62\) 1.37376 1.19037i 0.174468 0.151177i
\(63\) −2.27415 + 1.35212i −0.286517 + 0.170351i
\(64\) 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 −0.993831 0.110907i \(-0.964625\pi\)
0.311968 0.950093i \(-0.399012\pi\)
\(68\) −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 0.0785010 0.996914i \(-0.474987\pi\)
0.939435 + 0.342726i \(0.111350\pi\)
\(72\) −0.150947 + 1.04986i −0.0177893 + 0.123727i
\(73\) 12.5808 + 5.74545i 1.47247 + 0.672454i 0.980204 0.197992i \(-0.0634420\pi\)
0.492265 + 0.870446i \(0.336169\pi\)
\(74\) −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
\(77\) 2.95065 + 11.5168i 0.336258 + 1.31246i
\(78\) 0.816458 + 0.239734i 0.0924456 + 0.0271445i
\(79\) −6.67014 5.77971i −0.750450 0.650268i 0.193221 0.981155i \(-0.438107\pi\)
−0.943670 + 0.330887i \(0.892652\pi\)
\(80\) −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 \(-0.396420\pi\)
−0.243325 + 0.969945i \(0.578238\pi\)
\(84\) −1.26539 4.93898i −0.138065 0.538887i
\(85\) 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 −0.688747 0.725002i \(-0.741839\pi\)
0.865104 0.501592i \(-0.167252\pi\)
\(90\) 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 \(-0.457439\pi\)
0.647963 + 0.761672i \(0.275621\pi\)
\(98\) −1.13576 1.51146i −0.114729 0.152680i
\(99\) 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 −0.708058 0.706154i \(-0.750429\pi\)
0.977432 0.211250i \(-0.0677533\pi\)
\(102\) 1.07486 + 0.931371i 0.106427 + 0.0922195i
\(103\) −8.38523 5.38886i −0.826221 0.530980i 0.0578537 0.998325i \(-0.481574\pi\)
−0.884075 + 0.467345i \(0.845211\pi\)
\(104\) −1.80662 + 2.81116i −0.177154 + 0.275657i
\(105\) −1.63334 + 2.35703i −0.159398 + 0.230023i
\(106\) −0.140439 + 0.478292i −0.0136407 + 0.0464558i
\(107\) −5.56322 + 0.799870i −0.537816 + 0.0773263i −0.405870 0.913931i \(-0.633032\pi\)
−0.131946 + 0.991257i \(0.542123\pi\)
\(108\) −1.45637 + 1.26195i −0.140139 + 0.121431i
\(109\) −2.82030 + 1.28799i −0.270135 + 0.123367i −0.545878 0.837865i \(-0.683804\pi\)
0.275742 + 0.961232i \(0.411076\pi\)
\(110\) −0.370603 1.26216i −0.0353356 0.120342i
\(111\) 3.07547 6.73434i 0.291911 0.639196i
\(112\) 9.43335 + 0.328320i 0.891368 + 0.0310233i
\(113\) 4.77648 + 7.43234i 0.449333 + 0.699176i 0.989843 0.142161i \(-0.0454052\pi\)
−0.540510 + 0.841337i \(0.681769\pi\)
\(114\) 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
\(119\) −13.2231 4.38771i −1.21216 0.402221i
\(120\) 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
\(126\) −0.319281 + 0.639295i −0.0284438 + 0.0569529i
\(127\) −7.42569 4.77220i −0.658924 0.423465i 0.167994 0.985788i \(-0.446271\pi\)
−0.826917 + 0.562323i \(0.809908\pi\)
\(128\) 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 −0.324439 + 0.945907i \(0.605175\pi\)
−0.982451 + 0.186520i \(0.940279\pi\)
\(132\) 3.59719 + 7.87675i 0.313095 + 0.685583i
\(133\) −5.59214 13.4659i −0.484900 1.16765i
\(134\) −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 \(0.0382805\pi\)
−0.992777 + 0.119972i \(0.961719\pi\)
\(138\) 0.469063 + 1.20739i 0.0399293 + 0.102780i
\(139\) 11.5201i 0.977123i 0.872529 + 0.488562i \(0.162478\pi\)
−0.872529 + 0.488562i \(0.837522\pi\)
\(140\) −3.47137 4.29970i −0.293385 0.363391i
\(141\) −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
\(147\) 0.486668 6.98306i 0.0401397 0.575953i
\(148\) 10.7820 + 9.34269i 0.886278 + 0.767964i
\(149\) −6.27446 + 9.76325i −0.514024 + 0.799836i −0.997129 0.0757260i \(-0.975873\pi\)
0.483105 + 0.875562i \(0.339509\pi\)
\(150\) −0.558565 + 0.869144i −0.0456066 + 0.0709653i
\(151\) −5.69807 + 6.57593i −0.463703 + 0.535141i −0.938649 0.344873i \(-0.887922\pi\)
0.474947 + 0.880015i \(0.342467\pi\)
\(152\) −5.60857 1.64683i −0.454915 0.133575i
\(153\) 0.749405 + 5.21223i 0.0605858 + 0.421384i
\(154\) 2.35213 + 2.18591i 0.189540 + 0.176146i
\(155\) 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 −0.342171 0.939638i \(-0.611162\pi\)
0.934205 0.356736i \(-0.116111\pi\)
\(158\) −2.35951 0.339246i −0.187712 0.0269890i
\(159\) −1.55264 + 0.997820i −0.123132 + 0.0791323i
\(160\) −3.34362 −0.264336
\(161\) −8.77959 9.16072i −0.691928 0.721966i
\(162\) 0.270089 0.0212202
\(163\) −19.1315 + 12.2951i −1.49849 + 0.963024i −0.503404 + 0.864051i \(0.667919\pi\)
−0.995090 + 0.0989727i \(0.968444\pi\)
\(164\) 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 \(-0.529630\pi\)
0.691607 + 0.722274i \(0.256903\pi\)
\(168\) −2.05560 1.91035i −0.158593 0.147386i
\(169\) −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 \(-0.697624\pi\)
0.981538 + 0.191270i \(0.0612605\pi\)
\(174\) −0.382294 0.331259i −0.0289816 0.0251127i
\(175\) 1.78788 9.96143i 0.135151 0.753013i
\(176\) −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 0.659996 0.751269i \(-0.270558\pi\)
0.961391 + 0.275187i \(0.0887399\pi\)
\(180\) −0.867666 + 1.89992i −0.0646720 + 0.141612i
\(181\) −1.43926 + 10.0103i −0.106979 + 0.744058i 0.863757 + 0.503909i \(0.168105\pi\)
−0.970736 + 0.240149i \(0.922804\pi\)
\(182\) −1.75170 + 1.41424i −0.129845 + 0.104830i
\(183\) 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
\(189\) −2.44343 + 1.01471i −0.177734 + 0.0738092i
\(190\) 0.670198 + 1.46753i 0.0486212 + 0.106466i
\(191\) 14.4740 12.5418i 1.04730 0.907495i 0.0514701 0.998675i \(-0.483609\pi\)
0.995834 + 0.0911800i \(0.0290639\pi\)
\(192\) 6.23792 0.896878i 0.450183 0.0647266i
\(193\) 4.26226 + 1.25151i 0.306804 + 0.0900857i 0.431510 0.902108i \(-0.357981\pi\)
−0.124707 + 0.992194i \(0.539799\pi\)
\(194\) 1.41841 1.63694i 0.101836 0.117525i
\(195\) 2.87269 + 1.84616i 0.205717 + 0.132206i
\(196\) 12.6474 + 4.69104i 0.903387 + 0.335074i
\(197\) −1.25209 + 1.44499i −0.0892079 + 0.102951i −0.798598 0.601864i \(-0.794425\pi\)
0.709391 + 0.704816i \(0.248970\pi\)
\(198\) 0.341926 1.16449i 0.0242996 0.0827570i
\(199\) −1.29091 8.97847i −0.0915102 0.636467i −0.983024 0.183475i \(-0.941265\pi\)
0.891514 0.452993i \(-0.149644\pi\)
\(200\) −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
\(203\) 4.70304 + 1.56057i 0.330089 + 0.109531i
\(204\) −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
\(210\) −0.0269402 + 0.774053i −0.00185905 + 0.0534147i
\(211\) −7.86869 + 17.2300i −0.541703 + 1.18616i 0.418847 + 0.908057i \(0.362434\pi\)
−0.960550 + 0.278108i \(0.910293\pi\)
\(212\) −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
\(217\) −10.1420 + 14.6357i −0.688486 + 0.993537i
\(218\) −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 \(-0.997735\pi\)
−0.135269 + 0.990809i \(0.543190\pi\)
\(224\) 7.01552 4.17113i 0.468744 0.278695i
\(225\) −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 0.875322 + 0.483541i \(0.160649\pi\)
−0.976094 + 0.217347i \(0.930260\pi\)
\(228\) −5.74167 8.93422i −0.380252 0.591683i
\(229\) −3.49933 −0.231242 −0.115621 0.993293i \(-0.536886\pi\)
−0.115621 + 0.993293i \(0.536886\pi\)
\(230\) 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 −0.845917 0.533315i \(-0.820946\pi\)
0.961904 0.273389i \(-0.0881447\pi\)
\(234\) 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
\(238\) −3.64517 + 0.933907i −0.236281 + 0.0605362i
\(239\) −10.9628 3.21897i −0.709124 0.208218i −0.0927711 0.995687i \(-0.529572\pi\)
−0.616353 + 0.787470i \(0.711391\pi\)
\(240\) −2.92237 2.53225i −0.188638 0.163456i
\(241\) 15.9870 + 10.2742i 1.02981 + 0.661821i 0.942447 0.334355i \(-0.108518\pi\)
0.0873668 + 0.996176i \(0.472155\pi\)
\(242\) −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
\(245\) −2.66435 7.10388i −0.170219 0.453850i
\(246\) −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 \(-0.787965\pi\)
0.235495 + 0.971875i \(0.424329\pi\)
\(252\) −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 \(-0.0363213\pi\)
0.564553 + 0.825397i \(0.309049\pi\)
\(258\) −0.364969 + 0.107165i −0.0227220 + 0.00667177i
\(259\) 10.0102 + 16.8364i 0.622005 + 1.04616i
\(260\) −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 0.497232 0.867618i \(-0.334350\pi\)
−0.788023 + 0.615645i \(0.788895\pi\)
\(264\) 4.00949 + 2.57674i 0.246767 + 0.158587i
\(265\) −1.08151 + 1.68286i −0.0664364 + 0.103377i
\(266\) −3.23692 2.24307i −0.198469 0.137532i
\(267\) 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 \(-0.855672\pi\)
0.305650 + 0.952144i \(0.401126\pi\)
\(270\) 0.266287 0.121609i 0.0162057 0.00740090i
\(271\) 0.363936 + 1.23945i 0.0221076 + 0.0752915i 0.969808 0.243870i \(-0.0784170\pi\)
−0.947700 + 0.319161i \(0.896599\pi\)
\(272\) 7.80421 17.0888i 0.473199 1.03616i
\(273\) −8.33049 0.289935i −0.504184 0.0175477i
\(274\) 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
\(280\) −2.88681 0.957905i −0.172520 0.0572458i
\(281\) −6.69105 22.7876i −0.399155 1.35940i −0.876805 0.480846i \(-0.840329\pi\)
0.477650 0.878550i \(-0.341489\pi\)
\(282\) 0.125610 + 0.275047i 0.00747995 + 0.0163788i
\(283\) 6.30384 + 7.27502i 0.374724 + 0.432455i 0.911519 0.411258i \(-0.134911\pi\)
−0.536795 + 0.843713i \(0.680365\pi\)
\(284\) 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
\(287\) 26.1792 + 13.0746i 1.54531 + 0.771769i
\(288\) −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 \(-0.156497\pi\)
−0.934071 + 0.357089i \(0.883769\pi\)
\(294\) −0.909098 1.65771i −0.0530197 0.0966797i
\(295\) 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
\(301\) 2.89917 2.34066i 0.167106 0.134913i
\(302\) −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 \(-0.387563\pi\)
0.596256 + 0.802794i \(0.296654\pi\)
\(308\) −22.5499 4.04728i −1.28490 0.230615i
\(309\) −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 \(-0.972782\pi\)
0.491584 + 0.870830i \(0.336418\pi\)
\(312\) −2.18830 + 2.52544i −0.123888 + 0.142975i
\(313\) −32.5568 9.55955i −1.84022 0.540338i −0.840224 0.542240i \(-0.817576\pi\)
−0.999998 + 0.00190234i \(0.999394\pi\)
\(314\) −0.686392 4.77396i −0.0387353 0.269410i
\(315\) −1.95216 + 2.10059i −0.109992 + 0.118355i
\(316\) 15.4709 7.06533i 0.870307 0.397456i
\(317\) 3.56166 1.04580i 0.200043 0.0587378i −0.180176 0.983634i \(-0.557667\pi\)
0.380219 + 0.924897i \(0.375849\pi\)
\(318\) −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
\(322\) −3.33250 0.799434i −0.185713 0.0445507i
\(323\) −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
\(329\) −2.16970 2.01638i −0.119619 0.111166i
\(330\) −0.187207 1.30205i −0.0103054 0.0716757i
\(331\) −4.66719 1.37041i −0.256532 0.0753246i 0.150938 0.988543i \(-0.451771\pi\)
−0.407470 + 0.913219i \(0.633589\pi\)
\(332\) −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
\(336\) 9.29061 + 1.66748i 0.506844 + 0.0909687i
\(337\) −1.60868 + 0.231293i −0.0876302 + 0.0125993i −0.185990 0.982552i \(-0.559549\pi\)
0.0983602 + 0.995151i \(0.468640\pi\)
\(338\) −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
\(343\) 14.4523 + 11.5815i 0.780351 + 0.625341i
\(344\) 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 0.0407812 0.999168i \(-0.487015\pi\)
0.925816 + 0.377974i \(0.123379\pi\)
\(348\) 3.57241 + 0.513636i 0.191502 + 0.0275338i
\(349\) −23.7180 10.8316i −1.26959 0.579804i −0.337262 0.941411i \(-0.609501\pi\)
−0.932331 + 0.361607i \(0.882228\pi\)
\(350\) −1.04835 2.52444i −0.0560366 0.134937i
\(351\) 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 \(-0.430327\pi\)
0.483355 + 0.875424i \(0.339418\pi\)
\(354\) 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
\(357\) −12.4641 6.22489i −0.659669 0.329456i
\(358\) 3.99878 4.61484i 0.211342 0.243902i
\(359\) 4.06200 13.8339i 0.214384 0.730125i −0.780139 0.625606i \(-0.784852\pi\)
0.994523 0.104518i \(-0.0333301\pi\)
\(360\) 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
\(364\) 5.05882 15.2456i 0.265154 0.799087i
\(365\) 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 \(-0.549266\pi\)
−0.154157 + 0.988046i \(0.549266\pi\)
\(368\) 13.5569 10.4381i 0.706702 0.544125i
\(369\) 11.0602i 0.575770i
\(370\) −1.17172 1.82323i −0.0609147 0.0947851i
\(371\) 0.169848 4.88011i 0.00881807 0.253363i
\(372\) −5.38767 + 11.7973i −0.279338 + 0.611664i
\(373\) 1.94395 + 6.62049i 0.100654 + 0.342796i 0.994387 0.105803i \(-0.0337413\pi\)
−0.893733 + 0.448599i \(0.851923\pi\)
\(374\) 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
\(378\) −0.407012 + 0.587349i −0.0209345 + 0.0302100i
\(379\) 2.26030 3.51710i 0.116104 0.180661i −0.778338 0.627846i \(-0.783937\pi\)
0.894442 + 0.447185i \(0.147573\pi\)
\(380\) −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 −0.495178 0.868792i \(-0.664897\pi\)
0.230353 0.973107i \(-0.426012\pi\)
\(384\) 5.94919 5.15500i 0.303593 0.263065i
\(385\) 6.58535 + 11.0760i 0.335621 + 0.564488i
\(386\) 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 0.826583 0.562814i \(-0.190281\pi\)
−0.855329 + 0.518085i \(0.826645\pi\)
\(390\) 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 \(-0.617549\pi\)
0.468426 + 0.883503i \(0.344821\pi\)
\(398\) −1.60436 1.85153i −0.0804194 0.0928089i
\(399\) −3.61881 14.1247i −0.181167 0.707121i
\(400\) 13.0942 + 3.84481i 0.654710 + 0.192240i
\(401\) 16.9334 + 14.6729i 0.845614 + 0.732728i 0.965596 0.260048i \(-0.0837383\pi\)
−0.119982 + 0.992776i \(0.538284\pi\)
\(402\) −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
\(406\) 1.29647 0.332161i 0.0643428 0.0164849i
\(407\) −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 \(-0.127272\pi\)
−0.985353 + 0.170526i \(0.945453\pi\)
\(410\) −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 \(-0.786938\pi\)
−0.324273 + 0.945964i \(0.605120\pi\)
\(420\) −2.82413 4.74996i −0.137803 0.231774i
\(421\) 0.466757 0.404448i 0.0227484 0.0197116i −0.643412 0.765520i \(-0.722482\pi\)
0.666161 + 0.745808i \(0.267936\pi\)
\(422\) 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
\(427\) 25.3840 + 17.5902i 1.22842 + 0.851250i
\(428\) 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 −0.168655 0.985675i \(-0.553942\pi\)
0.634478 + 0.772941i \(0.281215\pi\)
\(432\) −1.00512 3.42312i −0.0483588 0.164695i
\(433\) 7.20625 15.7795i 0.346310 0.758314i −0.653689 0.756764i \(-0.726779\pi\)
0.999999 0.00154997i \(-0.000493372\pi\)
\(434\) −0.167282 + 4.80639i −0.00802980 + 0.230714i
\(435\) −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 \(-0.0776603\pi\)
−0.622847 + 0.782344i \(0.714024\pi\)
\(440\) 5.11324 + 0.735172i 0.243764 + 0.0350480i
\(441\) 1.47551 6.84272i 0.0702623 0.325844i
\(442\) 1.26240 + 4.29932i 0.0600460 + 0.204498i
\(443\) −2.45335 5.37209i −0.116562 0.255236i 0.842354 0.538924i \(-0.181169\pi\)
−0.958916 + 0.283689i \(0.908442\pi\)
\(444\) 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
\(448\) −7.44987 + 14.9168i −0.351973 + 0.704754i
\(449\) 8.93655 + 5.74317i 0.421742 + 0.271037i 0.734252 0.678877i \(-0.237533\pi\)
−0.312510 + 0.949915i \(0.601170\pi\)
\(450\) −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
\(455\) −8.34376 + 3.46500i −0.391161 + 0.162441i
\(456\) −5.31712 2.42825i −0.248997 0.113713i
\(457\) −32.2218 4.63280i −1.50727 0.216713i −0.661374 0.750057i \(-0.730026\pi\)
−0.845899 + 0.533344i \(0.820935\pi\)
\(458\) −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 \(0.970049\pi\)
\(462\) 2.01710 + 2.49841i 0.0938438 + 0.116236i
\(463\) −4.02965 + 28.0268i −0.187274 + 1.30252i 0.651755 + 0.758430i \(0.274033\pi\)
−0.839028 + 0.544088i \(0.816876\pi\)
\(464\) −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 \(-0.199240\pi\)
−0.695223 + 0.718795i \(0.744694\pi\)
\(468\) −6.00945 + 0.864028i −0.277787 + 0.0399397i
\(469\) 26.8837 + 4.82511i 1.24138 + 0.222803i
\(470\) 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
\(476\) 18.2767 19.6664i 0.837711 0.901408i
\(477\) −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 \(-0.936952\pi\)
0.790773 + 0.612110i \(0.209679\pi\)
\(480\) −3.30958 0.475846i −0.151061 0.0217193i
\(481\) 19.6219 12.6102i 0.894681 0.574977i
\(482\) 5.13272 0.233789
\(483\) −7.38652 10.3169i −0.336098 0.469437i
\(484\) 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 −0.629516 0.776987i \(-0.716747\pi\)
0.999453 0.0330617i \(-0.0105258\pi\)
\(488\) 11.8792 3.48805i 0.537746 0.157897i
\(489\) −20.6865 + 9.44722i −0.935477 + 0.427218i
\(490\) −1.64269 1.22505i −0.0742093 0.0553420i
\(491\) 4.89665 + 34.0570i 0.220983 + 1.53697i 0.734333 + 0.678790i \(0.237495\pi\)
−0.513350 + 0.858180i \(0.671596\pi\)
\(492\) 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
\(497\) −4.76546 + 26.5514i −0.213760 + 1.19099i
\(498\) 0.193855 0.0278722i 0.00868686 0.00124898i
\(499\) 8.97398 + 10.3565i 0.401731 + 0.463622i 0.920185 0.391483i \(-0.128038\pi\)
−0.518455 + 0.855105i \(0.673492\pi\)
\(500\) −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 0.698302 + 0.715804i \(0.253939\pi\)
−0.871681 + 0.490074i \(0.836970\pi\)
\(504\) −1.76281 2.18344i −0.0785218 0.0972583i
\(505\) 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 \(-0.439492\pi\)
−0.0953620 + 0.995443i \(0.530401\pi\)
\(510\) 1.40222 + 0.640373i 0.0620914 + 0.0283562i
\(511\) −33.7942 + 14.0341i −1.49497 + 0.620830i
\(512\) 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
\(518\) 4.73294 + 2.36376i 0.207953 + 0.103857i
\(519\) 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 −0.657968 0.753046i \(-0.728584\pi\)
0.419158 0.907913i \(-0.362325\pi\)
\(522\) −0.331259 0.382294i −0.0144988 0.0167325i
\(523\) −6.97867 15.2812i −0.305156 0.668199i 0.693476 0.720479i \(-0.256078\pi\)
−0.998632 + 0.0522808i \(0.983351\pi\)
\(524\) −10.7455 36.5959i −0.469420 1.59870i
\(525\) 3.18734 9.60559i 0.139107 0.419222i
\(526\) −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
\(532\) 28.0812 + 0.977342i 1.21747 + 0.0423731i
\(533\) 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
\(539\) −27.6345 15.0244i −1.19030 0.647146i
\(540\) −1.12922 + 1.75710i −0.0485940 + 0.0756137i
\(541\) −38.3527 24.6478i −1.64891 1.05969i −0.931955 0.362574i \(-0.881898\pi\)
−0.716957 0.697117i \(-0.754466\pi\)
\(542\) 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
\(546\) −1.93514 + 1.15055i −0.0828162 + 0.0492391i
\(547\) 11.3960 3.34618i 0.487260 0.143072i −0.0288693 0.999583i \(-0.509191\pi\)
0.516129 + 0.856511i \(0.327372\pi\)
\(548\) −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 0.985241 0.171171i \(-0.0547550\pi\)
−0.921380 + 0.388664i \(0.872937\pi\)
\(558\) 1.65348 0.755118i 0.0699973 0.0319667i
\(559\) −2.90563 3.35327i −0.122895 0.141828i
\(560\) 9.91061 2.53914i 0.418800 0.107298i
\(561\) 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 \(-0.224278\pi\)
−0.272694 + 0.962101i \(0.587915\pi\)
\(564\) −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
\(567\) −2.56297 + 0.656644i −0.107635 + 0.0275764i
\(568\) 7.08184 + 8.17288i 0.297147 + 0.342926i
\(569\) 21.2851 9.72056i 0.892316 0.407507i 0.0841443 0.996454i \(-0.473184\pi\)
0.808172 + 0.588946i \(0.200457\pi\)
\(570\) 0.454525 + 1.54797i 0.0190380 + 0.0648373i
\(571\) −43.2169 19.7365i −1.80857 0.825946i −0.949261 0.314489i \(-0.898167\pi\)
−0.859309 0.511457i \(-0.829106\pi\)
\(572\) −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 \(-0.0912525\pi\)
−0.655676 + 0.755043i \(0.727616\pi\)
\(578\) −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
\(581\) −1.64905 + 0.980454i −0.0684140 + 0.0406761i
\(582\) 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 \(-0.814199\pi\)
0.847952 + 0.530073i \(0.177836\pi\)
\(588\) 11.8511 + 6.44321i 0.488730 + 0.265713i
\(589\) −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 0.993338 + 0.115235i \(0.0367622\pi\)
−0.773348 + 0.633981i \(0.781420\pi\)
\(594\) 0.504171 1.10398i 0.0206864 0.0452968i
\(595\) −15.0914 0.525243i −0.618687 0.0215329i
\(596\) −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 \(-0.488243\pi\)
−0.246108 + 0.969242i \(0.579152\pi\)
\(602\) 0.316946 0.955170i 0.0129178 0.0389298i
\(603\) −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 \(-0.997129\pi\)
0.846096 + 0.533031i \(0.178947\pi\)
\(608\) 11.1333 12.8485i 0.451516 0.521077i
\(609\) 4.43308 + 2.21400i 0.179637 + 0.0897157i
\(610\) −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 0.00670569 0.999978i \(-0.497865\pi\)
0.288160 + 0.957582i \(0.406956\pi\)
\(614\) 3.40435 2.94989i 0.137389 0.119048i
\(615\) −4.97991 10.9045i −0.200809 0.439711i
\(616\) −11.6456 + 4.83619i −0.469215 + 0.194856i
\(617\) 33.3461 + 15.2286i 1.34246 + 0.613082i 0.951592 0.307363i \(-0.0994467\pi\)
0.390871 + 0.920446i \(0.372174\pi\)
\(618\) −2.66473 0.383130i −0.107191 0.0154117i
\(619\) −11.1866 + 7.18916i −0.449626 + 0.288957i −0.745791 0.666180i \(-0.767928\pi\)
0.296166 + 0.955137i \(0.404292\pi\)
\(620\) 14.0571i 0.564546i
\(621\) −2.24116 + 4.23995i −0.0899346 + 0.170143i
\(622\) 4.44699i 0.178308i
\(623\) 19.4299 + 24.0662i 0.778442 + 0.964191i
\(624\) 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
\(630\) −0.136825 + 0.762340i −0.00545125 + 0.0303724i
\(631\) 5.37572 + 4.65809i 0.214004 + 0.185435i 0.755266 0.655419i \(-0.227508\pi\)
−0.541262 + 0.840854i \(0.682053\pi\)
\(632\) 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
\(637\) 13.1842 17.6790i 0.522376 0.700466i
\(638\) −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 0.634045 0.773296i \(-0.281393\pi\)
0.390499 + 0.920603i \(0.372302\pi\)
\(642\) −1.27704 + 0.820702i −0.0504006 + 0.0323905i
\(643\) −18.8578 −0.743678 −0.371839 0.928297i \(-0.621273\pi\)
−0.371839 + 0.928297i \(0.621273\pi\)
\(644\) 23.0862 8.05641i 0.909723 0.317467i
\(645\) −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 \(-0.368525\pi\)
0.127098 + 0.991890i \(0.459434\pi\)
\(648\) −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
\(651\) −12.1217 + 13.0434i −0.475086 + 0.511211i
\(652\) −6.23685 43.3783i −0.244254 1.69882i
\(653\) −17.4593 5.12651i −0.683235 0.200616i −0.0783464 0.996926i \(-0.524964\pi\)
−0.604888 + 0.796310i \(0.706782\pi\)
\(654\) −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
\(658\) −0.787418 0.141326i −0.0306968 0.00550947i
\(659\) 7.42513 1.06757i 0.289242 0.0415867i 0.00383348 0.999993i \(-0.498780\pi\)
0.285409 + 0.958406i \(0.407871\pi\)
\(660\) 6.14621 + 7.09310i 0.239241 + 0.276099i
\(661\) −7.89523 17.2882i −0.307089 0.672431i 0.691671 0.722213i \(-0.256875\pi\)
−0.998760 + 0.0497815i \(0.984148\pi\)
\(662\) −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
\(665\) −9.92760 12.2965i −0.384976 0.476837i
\(666\) 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
\(672\) 7.53772 3.13026i 0.290774 0.120753i
\(673\) −3.26764 7.15514i −0.125958 0.275810i 0.836138 0.548518i \(-0.184808\pi\)
−0.962097 + 0.272708i \(0.912081\pi\)
\(674\) −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 \(-0.755294\pi\)
0.790465 + 0.612508i \(0.209839\pi\)
\(678\) 2.00740 + 1.29008i 0.0770936 + 0.0495450i
\(679\) −9.48008 + 18.9819i −0.363812 + 0.728459i
\(680\) −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 0.835634 0.549287i \(-0.185100\pi\)
−0.662619 + 0.748957i \(0.730555\pi\)
\(684\) −4.41176 9.66041i −0.168688 0.369375i
\(685\) 0.857599 + 2.92072i 0.0327672 + 0.111595i
\(686\) 4.97491 + 0.521126i 0.189943 + 0.0198967i
\(687\) −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
\(693\) −0.413528 + 11.8816i −0.0157086 + 0.451344i
\(694\) 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
\(700\) 16.0302 + 11.1084i 0.605885 + 0.419857i
\(701\) −20.2576 + 31.5215i −0.765120 + 1.19055i 0.211877 + 0.977296i \(0.432042\pi\)
−0.976997 + 0.213253i \(0.931594\pi\)
\(702\) 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
\(707\) 12.9925 + 21.8524i 0.488634 + 0.821844i
\(708\) −23.5568 + 6.91691i −0.885320 + 0.259953i
\(709\) −36.7527 16.7844i −1.38027 0.630350i −0.419519 0.907746i \(-0.637801\pi\)
−0.960756 + 0.277396i \(0.910529\pi\)
\(710\) 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 \(-0.436073\pi\)
0.871195 + 0.490937i \(0.163345\pi\)
\(720\) −2.53225 2.92237i −0.0943712 0.108910i
\(721\) 25.5465 6.54512i 0.951402 0.243753i
\(722\) −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 \(-0.183165\pi\)
0.411562 + 0.911382i \(0.364984\pi\)
\(728\) −2.19426 8.56450i −0.0813247 0.317422i
\(729\) 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 0.747218 + 0.664579i \(0.231389\pi\)
−0.904184 + 0.427143i \(0.859520\pi\)
\(734\) −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 −0.799392 0.600809i \(-0.794845\pi\)
0.936279 0.351257i \(-0.114246\pi\)
\(740\) 14.0658 + 6.42365i 0.517070 + 0.236138i
\(741\) −16.6595 + 4.89168i −0.612003 + 0.179700i
\(742\) −0.674009 1.13363i −0.0247436 0.0416168i
\(743\) −7.25393 + 6.28557i −0.266121 + 0.230595i −0.777691 0.628646i \(-0.783609\pi\)
0.511570 + 0.859241i \(0.329064\pi\)
\(744\) 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
\(749\) 8.46972 12.2224i 0.309477 0.446598i
\(750\) −0.727859 + 2.47886i −0.0265777 + 0.0905152i
\(751\) −23.5208 + 3.38177i −0.858284 + 0.123403i −0.557386 0.830254i \(-0.688196\pi\)
−0.300898 + 0.953656i \(0.597287\pi\)
\(752\) 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
\(756\) 0.177341 5.09541i 0.00644984 0.185318i
\(757\) −5.87141 9.13609i −0.213400 0.332057i 0.718007 0.696036i \(-0.245054\pi\)
−0.931407 + 0.363979i \(0.881418\pi\)
\(758\) 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 \(-0.0137762\pi\)
−0.454382 + 0.890807i \(0.650140\pi\)
\(762\) −2.35980 0.339287i −0.0854864 0.0122911i
\(763\) 2.58345 7.78567i 0.0935273 0.281860i
\(764\) 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 \(-0.880245\pi\)
0.496030 + 0.868305i \(0.334791\pi\)
\(770\) 3.11362 + 1.55503i 0.112207 + 0.0560393i
\(771\) 23.0998 + 14.8454i 0.831921 + 0.534643i
\(772\) −5.60583 + 6.46947i −0.201758 + 0.232841i
\(773\)