Properties

Label 483.2.y.b.4.5
Level $483$
Weight $2$
Character 483.4
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.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.848286 + 1.19125i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.0453539 - 0.131042i) q^{4} +(0.176217 - 3.69925i) q^{5} +(0.957681 + 1.10522i) q^{6} +(2.34512 + 1.22490i) q^{7} +(-2.61178 - 0.766889i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.848286 + 1.19125i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.0453539 - 0.131042i) q^{4} +(0.176217 - 3.69925i) q^{5} +(0.957681 + 1.10522i) q^{6} +(2.34512 + 1.22490i) q^{7} +(-2.61178 - 0.766889i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(4.25725 + 3.34794i) q^{10} +(-1.14806 - 1.61223i) q^{11} +(-0.138040 + 0.0131812i) q^{12} +(0.129879 - 0.903329i) q^{13} +(-3.44850 + 1.75456i) q^{14} +(-3.55343 - 1.04338i) q^{15} +(3.34710 - 2.63219i) q^{16} +(1.50193 - 0.289473i) q^{17} +(1.29985 - 0.670119i) q^{18} +(-5.84599 - 1.12672i) q^{19} +(-0.492748 + 0.144684i) q^{20} +(1.74326 - 1.99024i) q^{21} +2.89446 q^{22} +(1.78912 - 4.44961i) q^{23} +(-1.36102 + 2.35736i) q^{24} +(-8.67605 - 0.828462i) q^{25} +(0.965917 + 0.921000i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.0541527 - 0.362863i) q^{28} +(-2.17063 - 2.50504i) q^{29} +(4.25725 - 3.34794i) q^{30} +(4.19590 - 4.00078i) q^{31} +(0.0372587 + 0.782156i) q^{32} +(-1.83745 + 0.735604i) q^{33} +(-0.929229 + 2.03473i) q^{34} +(4.94448 - 8.45936i) q^{35} +(-0.0197345 + 0.137257i) q^{36} +(-6.38468 - 3.29153i) q^{37} +(6.30128 - 6.00826i) q^{38} +(-0.847246 - 0.339186i) q^{39} +(-3.29716 + 9.52651i) q^{40} +(6.91484 + 4.44390i) q^{41} +(0.892089 + 3.76495i) q^{42} +(9.71480 - 2.85252i) q^{43} +(-0.159200 + 0.223565i) q^{44} +(-1.85172 + 3.20728i) q^{45} +(3.78292 + 5.90584i) q^{46} +(1.60608 + 2.78181i) q^{47} +(-1.76888 - 3.87331i) q^{48} +(3.99922 + 5.74511i) q^{49} +(8.34668 - 9.63258i) q^{50} +(0.0727798 - 1.52784i) q^{51} +(-0.124264 + 0.0239500i) q^{52} +(-3.97402 - 1.59096i) q^{53} +(-0.344778 - 1.42120i) q^{54} +(-6.16635 + 3.96287i) q^{55} +(-5.18559 - 4.99764i) q^{56} +(-2.47321 + 5.41557i) q^{57} +(4.82544 - 0.460774i) q^{58} +(4.83369 + 3.80125i) q^{59} +(0.0244357 + 0.512968i) q^{60} +(0.553295 + 2.28071i) q^{61} +(1.20661 + 8.39218i) q^{62} +(-1.52315 - 2.16334i) q^{63} +(6.20095 + 3.98511i) q^{64} +(-3.31876 - 0.639638i) q^{65} +(0.682394 - 2.81287i) q^{66} +(4.15384 + 0.396643i) q^{67} +(-0.106051 - 0.183686i) q^{68} +(-3.90238 - 2.78773i) q^{69} +(5.88288 + 13.0661i) q^{70} +(-3.06316 - 6.70738i) q^{71} +(1.97004 + 1.87843i) q^{72} +(0.549944 + 1.58896i) q^{73} +(9.33708 - 4.81360i) q^{74} +(-2.85057 + 8.23617i) q^{75} +(0.117491 + 0.817169i) q^{76} +(-0.717525 - 5.18715i) q^{77} +(1.12276 - 0.721556i) q^{78} +(8.73479 - 3.49688i) q^{79} +(-9.14731 - 12.8456i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-11.1596 + 4.46761i) q^{82} +(-9.01855 + 5.79587i) q^{83} +(-0.339867 - 0.138174i) q^{84} +(-0.806167 - 5.60702i) q^{85} +(-4.84286 + 13.9925i) q^{86} +(-2.94617 + 1.51886i) q^{87} +(1.76209 + 5.09123i) q^{88} +(-5.68596 - 5.42156i) q^{89} +(-2.24988 - 4.92656i) q^{90} +(1.41107 - 1.95933i) q^{91} +(-0.664227 - 0.0326420i) q^{92} +(-2.89879 - 5.02084i) q^{93} +(-4.67625 - 0.446528i) q^{94} +(-5.19820 + 21.4273i) q^{95} +(0.768892 + 0.148192i) q^{96} +(7.61606 + 4.89455i) q^{97} +(-10.2363 - 0.109419i) q^{98} +(0.281673 + 1.95908i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.848286 + 1.19125i −0.599829 + 0.842342i −0.997158 0.0753343i \(-0.975998\pi\)
0.397330 + 0.917676i \(0.369937\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −0.0453539 0.131042i −0.0226770 0.0655208i
\(5\) 0.176217 3.69925i 0.0788067 1.65436i −0.520519 0.853850i \(-0.674261\pi\)
0.599325 0.800505i \(-0.295436\pi\)
\(6\) 0.957681 + 1.10522i 0.390971 + 0.451205i
\(7\) 2.34512 + 1.22490i 0.886374 + 0.462970i
\(8\) −2.61178 0.766889i −0.923405 0.271136i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 4.25725 + 3.34794i 1.34626 + 1.05871i
\(11\) −1.14806 1.61223i −0.346154 0.486105i 0.604393 0.796686i \(-0.293416\pi\)
−0.950547 + 0.310581i \(0.899476\pi\)
\(12\) −0.138040 + 0.0131812i −0.0398488 + 0.00380510i
\(13\) 0.129879 0.903329i 0.0360220 0.250538i −0.963852 0.266440i \(-0.914153\pi\)
0.999874 + 0.0159013i \(0.00506175\pi\)
\(14\) −3.44850 + 1.75456i −0.921652 + 0.468927i
\(15\) −3.55343 1.04338i −0.917492 0.269400i
\(16\) 3.34710 2.63219i 0.836775 0.658047i
\(17\) 1.50193 0.289473i 0.364271 0.0702074i −0.00383169 0.999993i \(-0.501220\pi\)
0.368103 + 0.929785i \(0.380008\pi\)
\(18\) 1.29985 0.670119i 0.306377 0.157949i
\(19\) −5.84599 1.12672i −1.34116 0.258488i −0.532335 0.846534i \(-0.678685\pi\)
−0.808828 + 0.588046i \(0.799897\pi\)
\(20\) −0.492748 + 0.144684i −0.110182 + 0.0323523i
\(21\) 1.74326 1.99024i 0.380411 0.434305i
\(22\) 2.89446 0.617100
\(23\) 1.78912 4.44961i 0.373058 0.927808i
\(24\) −1.36102 + 2.35736i −0.277818 + 0.481194i
\(25\) −8.67605 0.828462i −1.73521 0.165692i
\(26\) 0.965917 + 0.921000i 0.189432 + 0.180623i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 0.0541527 0.362863i 0.0102339 0.0685746i
\(29\) −2.17063 2.50504i −0.403075 0.465174i 0.517532 0.855664i \(-0.326851\pi\)
−0.920607 + 0.390490i \(0.872306\pi\)
\(30\) 4.25725 3.34794i 0.777265 0.611248i
\(31\) 4.19590 4.00078i 0.753606 0.718562i −0.212371 0.977189i \(-0.568119\pi\)
0.965977 + 0.258627i \(0.0832701\pi\)
\(32\) 0.0372587 + 0.782156i 0.00658647 + 0.138267i
\(33\) −1.83745 + 0.735604i −0.319859 + 0.128052i
\(34\) −0.929229 + 2.03473i −0.159361 + 0.348953i
\(35\) 4.94448 8.45936i 0.835770 1.42989i
\(36\) −0.0197345 + 0.137257i −0.00328909 + 0.0228761i
\(37\) −6.38468 3.29153i −1.04964 0.541125i −0.154997 0.987915i \(-0.549537\pi\)
−0.894639 + 0.446790i \(0.852567\pi\)
\(38\) 6.30128 6.00826i 1.02220 0.974669i
\(39\) −0.847246 0.339186i −0.135668 0.0543132i
\(40\) −3.29716 + 9.52651i −0.521326 + 1.50627i
\(41\) 6.91484 + 4.44390i 1.07992 + 0.694020i 0.954538 0.298089i \(-0.0963491\pi\)
0.125378 + 0.992109i \(0.459985\pi\)
\(42\) 0.892089 + 3.76495i 0.137652 + 0.580945i
\(43\) 9.71480 2.85252i 1.48149 0.435006i 0.561677 0.827356i \(-0.310156\pi\)
0.919816 + 0.392351i \(0.128338\pi\)
\(44\) −0.159200 + 0.223565i −0.0240003 + 0.0337037i
\(45\) −1.85172 + 3.20728i −0.276039 + 0.478113i
\(46\) 3.78292 + 5.90584i 0.557761 + 0.870768i
\(47\) 1.60608 + 2.78181i 0.234271 + 0.405769i 0.959061 0.283201i \(-0.0913964\pi\)
−0.724790 + 0.688970i \(0.758063\pi\)
\(48\) −1.76888 3.87331i −0.255316 0.559064i
\(49\) 3.99922 + 5.74511i 0.571317 + 0.820729i
\(50\) 8.34668 9.63258i 1.18040 1.36225i
\(51\) 0.0727798 1.52784i 0.0101912 0.213940i
\(52\) −0.124264 + 0.0239500i −0.0172323 + 0.00332126i
\(53\) −3.97402 1.59096i −0.545873 0.218535i 0.0823010 0.996608i \(-0.473773\pi\)
−0.628174 + 0.778073i \(0.716197\pi\)
\(54\) −0.344778 1.42120i −0.0469184 0.193400i
\(55\) −6.16635 + 3.96287i −0.831470 + 0.534354i
\(56\) −5.18559 4.99764i −0.692954 0.667837i
\(57\) −2.47321 + 5.41557i −0.327584 + 0.717310i
\(58\) 4.82544 0.460774i 0.633612 0.0605026i
\(59\) 4.83369 + 3.80125i 0.629292 + 0.494881i 0.881121 0.472891i \(-0.156790\pi\)
−0.251829 + 0.967772i \(0.581032\pi\)
\(60\) 0.0244357 + 0.512968i 0.00315463 + 0.0662239i
\(61\) 0.553295 + 2.28071i 0.0708422 + 0.292015i 0.996202 0.0870752i \(-0.0277520\pi\)
−0.925360 + 0.379091i \(0.876237\pi\)
\(62\) 1.20661 + 8.39218i 0.153240 + 1.06581i
\(63\) −1.52315 2.16334i −0.191898 0.272555i
\(64\) 6.20095 + 3.98511i 0.775118 + 0.498138i
\(65\) −3.31876 0.639638i −0.411641 0.0793373i
\(66\) 0.682394 2.81287i 0.0839969 0.346240i
\(67\) 4.15384 + 0.396643i 0.507472 + 0.0484577i 0.345652 0.938363i \(-0.387658\pi\)
0.161820 + 0.986820i \(0.448264\pi\)
\(68\) −0.106051 0.183686i −0.0128606 0.0222752i
\(69\) −3.90238 2.78773i −0.469792 0.335603i
\(70\) 5.88288 + 13.0661i 0.703139 + 1.56169i
\(71\) −3.06316 6.70738i −0.363530 0.796020i −0.999701 0.0244714i \(-0.992210\pi\)
0.636170 0.771549i \(-0.280518\pi\)
\(72\) 1.97004 + 1.87843i 0.232171 + 0.221375i
\(73\) 0.549944 + 1.58896i 0.0643660 + 0.185973i 0.972598 0.232494i \(-0.0746886\pi\)
−0.908232 + 0.418467i \(0.862567\pi\)
\(74\) 9.33708 4.81360i 1.08541 0.559570i
\(75\) −2.85057 + 8.23617i −0.329155 + 0.951031i
\(76\) 0.117491 + 0.817169i 0.0134772 + 0.0937357i
\(77\) −0.717525 5.18715i −0.0817695 0.591130i
\(78\) 1.12276 0.721556i 0.127128 0.0817001i
\(79\) 8.73479 3.49688i 0.982741 0.393430i 0.176035 0.984384i \(-0.443673\pi\)
0.806705 + 0.590954i \(0.201248\pi\)
\(80\) −9.14731 12.8456i −1.02270 1.43618i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −11.1596 + 4.46761i −1.23237 + 0.493365i
\(83\) −9.01855 + 5.79587i −0.989914 + 0.636179i −0.932120 0.362149i \(-0.882043\pi\)
−0.0577942 + 0.998329i \(0.518407\pi\)
\(84\) −0.339867 0.138174i −0.0370826 0.0150761i
\(85\) −0.806167 5.60702i −0.0874411 0.608166i
\(86\) −4.84286 + 13.9925i −0.522219 + 1.50885i
\(87\) −2.94617 + 1.51886i −0.315863 + 0.162838i
\(88\) 1.76209 + 5.09123i 0.187840 + 0.542727i
\(89\) −5.68596 5.42156i −0.602711 0.574684i 0.326055 0.945351i \(-0.394281\pi\)
−0.928766 + 0.370667i \(0.879129\pi\)
\(90\) −2.24988 4.92656i −0.237159 0.519305i
\(91\) 1.41107 1.95933i 0.147921 0.205394i
\(92\) −0.664227 0.0326420i −0.0692505 0.00340316i
\(93\) −2.89879 5.02084i −0.300590 0.520637i
\(94\) −4.67625 0.446528i −0.482318 0.0460558i
\(95\) −5.19820 + 21.4273i −0.533324 + 2.19839i
\(96\) 0.768892 + 0.148192i 0.0784747 + 0.0151248i
\(97\) 7.61606 + 4.89455i 0.773294 + 0.496966i 0.866802 0.498653i \(-0.166172\pi\)
−0.0935078 + 0.995619i \(0.529808\pi\)
\(98\) −10.2363 0.109419i −1.03403 0.0110530i
\(99\) 0.281673 + 1.95908i 0.0283092 + 0.196895i
\(100\) 0.284930 + 1.17450i 0.0284930 + 0.117450i
\(101\) 0.697584 + 14.6441i 0.0694122 + 1.45714i 0.718022 + 0.696020i \(0.245048\pi\)
−0.648610 + 0.761121i \(0.724649\pi\)
\(102\) 1.75830 + 1.38274i 0.174097 + 0.136912i
\(103\) −9.74779 + 0.930801i −0.960478 + 0.0917145i −0.563502 0.826115i \(-0.690546\pi\)
−0.396976 + 0.917829i \(0.629940\pi\)
\(104\) −1.03197 + 2.25970i −0.101193 + 0.221582i
\(105\) −7.05520 6.79947i −0.688517 0.663561i
\(106\) 5.26633 3.38446i 0.511511 0.328728i
\(107\) −2.08495 8.59430i −0.201560 0.830842i −0.979326 0.202288i \(-0.935162\pi\)
0.777766 0.628554i \(-0.216353\pi\)
\(108\) 0.128735 + 0.0515377i 0.0123875 + 0.00495922i
\(109\) −2.98049 + 0.574443i −0.285479 + 0.0550217i −0.329981 0.943988i \(-0.607042\pi\)
0.0445013 + 0.999009i \(0.485830\pi\)
\(110\) 0.510052 10.7073i 0.0486316 1.02090i
\(111\) −4.70400 + 5.42870i −0.446484 + 0.515270i
\(112\) 11.0735 2.07293i 1.04635 0.195874i
\(113\) 1.91796 + 4.19975i 0.180427 + 0.395079i 0.978137 0.207962i \(-0.0666829\pi\)
−0.797710 + 0.603041i \(0.793956\pi\)
\(114\) −4.35331 7.54016i −0.407725 0.706201i
\(115\) −16.1450 7.40251i −1.50553 0.690288i
\(116\) −0.229817 + 0.398056i −0.0213380 + 0.0369585i
\(117\) −0.529371 + 0.743397i −0.0489403 + 0.0687271i
\(118\) −8.62860 + 2.53358i −0.794327 + 0.233235i
\(119\) 3.87678 + 1.16087i 0.355384 + 0.106417i
\(120\) 8.48064 + 5.45017i 0.774173 + 0.497531i
\(121\) 2.31651 6.69313i 0.210592 0.608466i
\(122\) −3.18625 1.27558i −0.288470 0.115486i
\(123\) 5.94887 5.67223i 0.536391 0.511448i
\(124\) −0.714569 0.368386i −0.0641702 0.0330820i
\(125\) −1.95828 + 13.6202i −0.175154 + 1.21822i
\(126\) 3.86914 + 0.0206786i 0.344690 + 0.00184220i
\(127\) −7.84443 + 17.1769i −0.696081 + 1.52420i 0.148579 + 0.988900i \(0.452530\pi\)
−0.844660 + 0.535303i \(0.820197\pi\)
\(128\) −11.4613 + 4.58843i −1.01305 + 0.405564i
\(129\) −0.481763 10.1135i −0.0424169 0.890441i
\(130\) 3.57722 3.41088i 0.313743 0.299154i
\(131\) 8.51886 6.69931i 0.744296 0.585321i −0.172343 0.985037i \(-0.555134\pi\)
0.916639 + 0.399716i \(0.130891\pi\)
\(132\) 0.179730 + 0.207420i 0.0156435 + 0.0180536i
\(133\) −12.3295 9.80309i −1.06910 0.850035i
\(134\) −3.99614 + 4.61180i −0.345214 + 0.398399i
\(135\) 2.68031 + 2.55567i 0.230684 + 0.219957i
\(136\) −4.14470 0.395771i −0.355405 0.0339371i
\(137\) −6.42065 + 11.1209i −0.548554 + 0.950123i 0.449820 + 0.893119i \(0.351488\pi\)
−0.998374 + 0.0570036i \(0.981845\pi\)
\(138\) 6.63122 2.28393i 0.564487 0.194421i
\(139\) 19.7303 1.67350 0.836752 0.547582i \(-0.184451\pi\)
0.836752 + 0.547582i \(0.184451\pi\)
\(140\) −1.33278 0.264267i −0.112640 0.0223347i
\(141\) 3.08204 0.904970i 0.259555 0.0762122i
\(142\) 10.5886 + 2.04079i 0.888577 + 0.171259i
\(143\) −1.60548 + 0.827684i −0.134257 + 0.0692144i
\(144\) −4.18116 + 0.805852i −0.348430 + 0.0671543i
\(145\) −9.64927 + 7.58827i −0.801328 + 0.630171i
\(146\) −2.35936 0.692770i −0.195262 0.0573340i
\(147\) 6.52601 2.53203i 0.538256 0.208838i
\(148\) −0.141757 + 0.985942i −0.0116524 + 0.0810440i
\(149\) −7.04909 + 0.673107i −0.577484 + 0.0551431i −0.379712 0.925105i \(-0.623977\pi\)
−0.197773 + 0.980248i \(0.563371\pi\)
\(150\) −7.39325 10.3824i −0.603656 0.847717i
\(151\) −6.28776 4.94475i −0.511690 0.402398i 0.328654 0.944450i \(-0.393405\pi\)
−0.840345 + 0.542053i \(0.817647\pi\)
\(152\) 14.4044 + 7.42599i 1.16835 + 0.602327i
\(153\) −1.46761 0.430929i −0.118649 0.0348386i
\(154\) 6.78786 + 3.54543i 0.546981 + 0.285699i
\(155\) −14.0605 16.2267i −1.12937 1.30336i
\(156\) −0.00602154 + 0.126408i −0.000482109 + 0.0101207i
\(157\) −0.327351 0.945820i −0.0261255 0.0754846i 0.931184 0.364549i \(-0.118777\pi\)
−0.957310 + 0.289065i \(0.906656\pi\)
\(158\) −3.24394 + 13.3717i −0.258074 + 1.06379i
\(159\) −2.48302 + 3.48691i −0.196916 + 0.276530i
\(160\) 2.89996 0.229262
\(161\) 9.64606 8.24339i 0.760216 0.649670i
\(162\) −1.46242 −0.114898
\(163\) −12.0134 + 16.8704i −0.940958 + 1.32139i 0.00598196 + 0.999982i \(0.498096\pi\)
−0.946940 + 0.321409i \(0.895844\pi\)
\(164\) 0.268720 1.10768i 0.0209835 0.0864952i
\(165\) 2.39739 + 6.92681i 0.186637 + 0.539252i
\(166\) 0.745973 15.6599i 0.0578988 1.21544i
\(167\) 14.7768 + 17.0534i 1.14347 + 1.31963i 0.940246 + 0.340496i \(0.110595\pi\)
0.203219 + 0.979133i \(0.434860\pi\)
\(168\) −6.07931 + 3.86118i −0.469029 + 0.297897i
\(169\) 11.6743 + 3.42788i 0.898021 + 0.263683i
\(170\) 7.36322 + 3.79601i 0.564734 + 0.291140i
\(171\) 4.67983 + 3.68026i 0.357876 + 0.281437i
\(172\) −0.814403 1.14367i −0.0620976 0.0872039i
\(173\) 9.44161 0.901565i 0.717833 0.0685447i 0.270254 0.962789i \(-0.412892\pi\)
0.447579 + 0.894244i \(0.352286\pi\)
\(174\) 0.689856 4.79805i 0.0522978 0.363739i
\(175\) −19.3316 12.5702i −1.46133 0.950216i
\(176\) −8.08637 2.37437i −0.609533 0.178975i
\(177\) 4.83369 3.80125i 0.363322 0.285720i
\(178\) 11.2818 2.17438i 0.845603 0.162977i
\(179\) −11.7911 + 6.07875i −0.881310 + 0.454347i −0.838604 0.544741i \(-0.816628\pi\)
−0.0427056 + 0.999088i \(0.513598\pi\)
\(180\) 0.504269 + 0.0971900i 0.0375860 + 0.00724411i
\(181\) 3.64929 1.07153i 0.271250 0.0796461i −0.143279 0.989682i \(-0.545765\pi\)
0.414529 + 0.910036i \(0.363946\pi\)
\(182\) 1.13706 + 3.34302i 0.0842844 + 0.247801i
\(183\) 2.34687 0.173485
\(184\) −8.08516 + 10.2494i −0.596046 + 0.755593i
\(185\) −13.3013 + 23.0385i −0.977931 + 1.69383i
\(186\) 8.44009 + 0.805930i 0.618857 + 0.0590937i
\(187\) −2.19100 2.08912i −0.160222 0.152771i
\(188\) 0.291691 0.336629i 0.0212737 0.0245512i
\(189\) −2.46145 + 0.970185i −0.179044 + 0.0705706i
\(190\) −21.1157 24.3688i −1.53189 1.76790i
\(191\) 3.58240 2.81723i 0.259213 0.203848i −0.480092 0.877218i \(-0.659397\pi\)
0.739305 + 0.673371i \(0.235154\pi\)
\(192\) 5.33470 5.08663i 0.384999 0.367096i
\(193\) 0.613549 + 12.8800i 0.0441642 + 0.927121i 0.906869 + 0.421413i \(0.138466\pi\)
−0.862705 + 0.505708i \(0.831231\pi\)
\(194\) −12.2912 + 4.92067i −0.882459 + 0.353283i
\(195\) −1.40403 + 3.07440i −0.100545 + 0.220163i
\(196\) 0.571467 0.784627i 0.0408191 0.0560448i
\(197\) −3.36593 + 23.4106i −0.239813 + 1.66793i 0.413241 + 0.910622i \(0.364397\pi\)
−0.653053 + 0.757312i \(0.726512\pi\)
\(198\) −2.57269 1.32632i −0.182833 0.0942572i
\(199\) 12.9191 12.3184i 0.915813 0.873226i −0.0764884 0.997070i \(-0.524371\pi\)
0.992302 + 0.123844i \(0.0395223\pi\)
\(200\) 22.0246 + 8.81733i 1.55738 + 0.623480i
\(201\) 1.36477 3.94324i 0.0962632 0.278134i
\(202\) −18.0365 11.5914i −1.26905 0.815566i
\(203\) −2.02196 8.53344i −0.141914 0.598930i
\(204\) −0.203511 + 0.0597562i −0.0142486 + 0.00418377i
\(205\) 17.6576 24.7966i 1.23326 1.73187i
\(206\) 7.16009 12.4016i 0.498867 0.864064i
\(207\) −3.62917 + 3.13515i −0.252244 + 0.217908i
\(208\) −1.94301 3.36540i −0.134724 0.233348i
\(209\) 4.89503 + 10.7186i 0.338597 + 0.741423i
\(210\) 14.0847 2.63661i 0.971937 0.181944i
\(211\) 16.0351 18.5055i 1.10390 1.27397i 0.145249 0.989395i \(-0.453602\pi\)
0.958653 0.284576i \(-0.0918528\pi\)
\(212\) −0.0282441 + 0.592917i −0.00193981 + 0.0407217i
\(213\) −7.24048 + 1.39549i −0.496110 + 0.0956173i
\(214\) 12.0066 + 4.80672i 0.820754 + 0.328580i
\(215\) −8.84028 36.4401i −0.602902 2.48520i
\(216\) 2.28993 1.47165i 0.155810 0.100133i
\(217\) 14.7405 4.24276i 1.00065 0.288017i
\(218\) 1.84400 4.03781i 0.124892 0.273475i
\(219\) 1.67382 0.159831i 0.113106 0.0108004i
\(220\) 0.798969 + 0.628316i 0.0538665 + 0.0423611i
\(221\) −0.0664202 1.39433i −0.00446790 0.0937929i
\(222\) −2.47661 10.2087i −0.166219 0.685165i
\(223\) −3.16193 21.9917i −0.211739 1.47268i −0.767348 0.641231i \(-0.778424\pi\)
0.555609 0.831444i \(-0.312485\pi\)
\(224\) −0.870690 + 1.87989i −0.0581754 + 0.125606i
\(225\) 7.33196 + 4.71196i 0.488797 + 0.314131i
\(226\) −6.62994 1.27782i −0.441017 0.0849990i
\(227\) 5.86525 24.1769i 0.389291 1.60468i −0.353689 0.935363i \(-0.615073\pi\)
0.742979 0.669315i \(-0.233412\pi\)
\(228\) 0.821834 + 0.0784756i 0.0544273 + 0.00519717i
\(229\) 10.6540 + 18.4533i 0.704036 + 1.21943i 0.967038 + 0.254631i \(0.0819539\pi\)
−0.263003 + 0.964795i \(0.584713\pi\)
\(230\) 22.5138 12.9533i 1.48452 0.854112i
\(231\) −5.21009 0.525617i −0.342799 0.0345831i
\(232\) 3.74813 + 8.20725i 0.246076 + 0.538832i
\(233\) 5.34796 + 5.09927i 0.350357 + 0.334064i 0.844737 0.535181i \(-0.179757\pi\)
−0.494381 + 0.869246i \(0.664605\pi\)
\(234\) −0.436515 1.26123i −0.0285359 0.0824490i
\(235\) 10.5736 5.45109i 0.689748 0.355590i
\(236\) 0.278895 0.805815i 0.0181545 0.0524541i
\(237\) −1.33901 9.31299i −0.0869778 0.604944i
\(238\) −4.67150 + 3.63347i −0.302809 + 0.235523i
\(239\) 19.7392 12.6856i 1.27683 0.820566i 0.286332 0.958130i \(-0.407564\pi\)
0.990493 + 0.137565i \(0.0439275\pi\)
\(240\) −14.6401 + 5.86100i −0.945012 + 0.378326i
\(241\) 10.1526 + 14.2574i 0.653988 + 0.918398i 0.999802 0.0199053i \(-0.00633647\pi\)
−0.345814 + 0.938303i \(0.612397\pi\)
\(242\) 6.00813 + 8.43724i 0.386217 + 0.542366i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 0.273774 0.175944i 0.0175266 0.0112637i
\(245\) 21.9573 13.7817i 1.40280 0.880483i
\(246\) 1.71071 + 11.8983i 0.109071 + 0.758606i
\(247\) −1.77707 + 5.13452i −0.113073 + 0.326702i
\(248\) −14.0269 + 7.23139i −0.890712 + 0.459194i
\(249\) 3.50629 + 10.1308i 0.222202 + 0.642011i
\(250\) −14.5638 13.8866i −0.921098 0.878265i
\(251\) −1.85570 4.06341i −0.117131 0.256480i 0.841982 0.539506i \(-0.181389\pi\)
−0.959112 + 0.283026i \(0.908662\pi\)
\(252\) −0.214406 + 0.297711i −0.0135063 + 0.0187540i
\(253\) −9.22782 + 2.22396i −0.580148 + 0.139819i
\(254\) −13.8077 23.9156i −0.866371 1.50060i
\(255\) −5.63902 0.538462i −0.353129 0.0337198i
\(256\) 0.780929 3.21903i 0.0488081 0.201190i
\(257\) −12.0887 2.32990i −0.754070 0.145335i −0.202291 0.979326i \(-0.564839\pi\)
−0.551779 + 0.833991i \(0.686051\pi\)
\(258\) 12.4563 + 8.00521i 0.775498 + 0.498382i
\(259\) −10.9411 15.5397i −0.679845 0.965589i
\(260\) 0.0666994 + 0.463905i 0.00413652 + 0.0287702i
\(261\) 0.781456 + 3.22121i 0.0483709 + 0.199388i
\(262\) 0.754125 + 15.8310i 0.0465900 + 0.978044i
\(263\) −7.11656 5.59653i −0.438826 0.345097i 0.374176 0.927358i \(-0.377926\pi\)
−0.813002 + 0.582261i \(0.802168\pi\)
\(264\) 5.36315 0.512118i 0.330079 0.0315187i
\(265\) −6.58563 + 14.4205i −0.404552 + 0.885846i
\(266\) 22.1368 6.37165i 1.35730 0.390671i
\(267\) −6.60925 + 4.24751i −0.404479 + 0.259943i
\(268\) −0.136416 0.562314i −0.00833293 0.0343488i
\(269\) 19.6316 + 7.85932i 1.19696 + 0.479191i 0.882606 0.470114i \(-0.155787\pi\)
0.314356 + 0.949305i \(0.398212\pi\)
\(270\) −5.31811 + 1.02498i −0.323650 + 0.0623785i
\(271\) −0.606223 + 12.7262i −0.0368254 + 0.773060i 0.902636 + 0.430405i \(0.141629\pi\)
−0.939461 + 0.342655i \(0.888674\pi\)
\(272\) 4.26515 4.92225i 0.258613 0.298455i
\(273\) −1.57143 1.83323i −0.0951070 0.110952i
\(274\) −7.80123 17.0823i −0.471290 1.03198i
\(275\) 8.62498 + 14.9389i 0.520106 + 0.900850i
\(276\) −0.188319 + 0.637808i −0.0113355 + 0.0383915i
\(277\) 11.5071 19.9309i 0.691396 1.19753i −0.279984 0.960005i \(-0.590329\pi\)
0.971381 0.237529i \(-0.0763374\pi\)
\(278\) −16.7370 + 23.5038i −1.00382 + 1.40966i
\(279\) −5.56273 + 1.63336i −0.333032 + 0.0977870i
\(280\) −19.4013 + 18.3021i −1.15945 + 1.09376i
\(281\) 27.9589 + 17.9681i 1.66789 + 1.07189i 0.905057 + 0.425290i \(0.139828\pi\)
0.762831 + 0.646597i \(0.223809\pi\)
\(282\) −1.53641 + 4.43916i −0.0914918 + 0.264348i
\(283\) 19.4258 + 7.77690i 1.15474 + 0.462289i 0.868413 0.495842i \(-0.165141\pi\)
0.286329 + 0.958131i \(0.407565\pi\)
\(284\) −0.740019 + 0.705607i −0.0439121 + 0.0418701i
\(285\) 19.5977 + 10.1033i 1.16087 + 0.598470i
\(286\) 0.375929 2.61465i 0.0222292 0.154607i
\(287\) 10.7728 + 18.8915i 0.635899 + 1.11513i
\(288\) 0.325288 0.712281i 0.0191678 0.0419715i
\(289\) −13.6103 + 5.44873i −0.800604 + 0.320513i
\(290\) −0.854193 17.9317i −0.0501599 1.05299i
\(291\) 6.55213 6.24745i 0.384093 0.366232i
\(292\) 0.183277 0.144131i 0.0107255 0.00843462i
\(293\) −17.2615 19.9208i −1.00842 1.16378i −0.986456 0.164025i \(-0.947552\pi\)
−0.0219686 0.999759i \(-0.506993\pi\)
\(294\) −2.51964 + 9.92200i −0.146949 + 0.578663i
\(295\) 14.9136 17.2112i 0.868302 1.00207i
\(296\) 14.1512 + 13.4931i 0.822520 + 0.784272i
\(297\) 1.97026 + 0.188137i 0.114326 + 0.0109168i
\(298\) 5.17781 8.96823i 0.299942 0.519516i
\(299\) −3.78709 2.19408i −0.219013 0.126887i
\(300\) 1.20856 0.0697765
\(301\) 26.2765 + 5.21018i 1.51455 + 0.300310i
\(302\) 11.2242 3.29574i 0.645883 0.189648i
\(303\) 14.3958 + 2.77455i 0.827014 + 0.159394i
\(304\) −22.5329 + 11.6165i −1.29235 + 0.666252i
\(305\) 8.53443 1.64488i 0.488680 0.0941854i
\(306\) 1.75830 1.38274i 0.100515 0.0790460i
\(307\) −26.4930 7.77904i −1.51203 0.443973i −0.582537 0.812804i \(-0.697940\pi\)
−0.929497 + 0.368831i \(0.879758\pi\)
\(308\) −0.647189 + 0.329283i −0.0368770 + 0.0187626i
\(309\) −1.39356 + 9.69246i −0.0792771 + 0.551385i
\(310\) 31.2574 2.98472i 1.77530 0.169521i
\(311\) −2.65019 3.72168i −0.150279 0.211037i 0.732573 0.680688i \(-0.238319\pi\)
−0.882852 + 0.469651i \(0.844380\pi\)
\(312\) 1.95270 + 1.53562i 0.110550 + 0.0869376i
\(313\) 5.38134 + 2.77427i 0.304171 + 0.156811i 0.603554 0.797322i \(-0.293751\pi\)
−0.299383 + 0.954133i \(0.596781\pi\)
\(314\) 1.40440 + 0.412368i 0.0792547 + 0.0232713i
\(315\) −8.27113 + 5.25328i −0.466025 + 0.295989i
\(316\) −0.854394 0.986023i −0.0480634 0.0554681i
\(317\) 0.207648 4.35907i 0.0116627 0.244830i −0.985506 0.169638i \(-0.945740\pi\)
0.997169 0.0751915i \(-0.0239568\pi\)
\(318\) −2.04748 5.91580i −0.114817 0.331741i
\(319\) −1.54668 + 6.37549i −0.0865973 + 0.356959i
\(320\) 15.8346 22.2366i 0.885182 1.24306i
\(321\) −8.84358 −0.493601
\(322\) 1.63733 + 18.4836i 0.0912447 + 1.03005i
\(323\) −9.10641 −0.506694
\(324\) 0.0804354 0.112956i 0.00446863 0.00627532i
\(325\) −1.87521 + 7.72973i −0.104018 + 0.428768i
\(326\) −9.90611 28.6218i −0.548649 1.58522i
\(327\) −0.144428 + 3.03191i −0.00798686 + 0.167665i
\(328\) −14.6521 16.9094i −0.809027 0.933666i
\(329\) 0.359004 + 8.49099i 0.0197925 + 0.468123i
\(330\) −10.2852 3.02002i −0.566184 0.166247i
\(331\) −22.0624 11.3739i −1.21266 0.625168i −0.271272 0.962503i \(-0.587444\pi\)
−0.941385 + 0.337335i \(0.890475\pi\)
\(332\) 1.16853 + 0.918939i 0.0641312 + 0.0504333i
\(333\) 4.16667 + 5.85126i 0.228332 + 0.320647i
\(334\) −32.8498 + 3.13678i −1.79746 + 0.171637i
\(335\) 2.19926 15.2962i 0.120158 0.835720i
\(336\) 0.596187 11.2501i 0.0325246 0.613744i
\(337\) −6.18420 1.81584i −0.336875 0.0989153i 0.108920 0.994051i \(-0.465261\pi\)
−0.445795 + 0.895135i \(0.647079\pi\)
\(338\) −13.9866 + 10.9992i −0.760770 + 0.598276i
\(339\) 4.53354 0.873768i 0.246228 0.0474566i
\(340\) −0.698189 + 0.359941i −0.0378646 + 0.0195206i
\(341\) −11.2673 2.17160i −0.610160 0.117599i
\(342\) −8.35395 + 2.45294i −0.451730 + 0.132640i
\(343\) 2.34146 + 18.3717i 0.126427 + 0.991976i
\(344\) −27.5605 −1.48596
\(345\) −11.0002 + 13.9446i −0.592229 + 0.750755i
\(346\) −6.93520 + 12.0121i −0.372839 + 0.645775i
\(347\) −29.8319 2.84860i −1.60146 0.152921i −0.744255 0.667896i \(-0.767195\pi\)
−0.857205 + 0.514975i \(0.827801\pi\)
\(348\) 0.332653 + 0.317184i 0.0178321 + 0.0170029i
\(349\) −2.79348 + 3.22384i −0.149531 + 0.172568i −0.825574 0.564295i \(-0.809148\pi\)
0.676042 + 0.736863i \(0.263694\pi\)
\(350\) 31.3730 12.3657i 1.67696 0.660976i
\(351\) 0.597638 + 0.689711i 0.0318996 + 0.0368140i
\(352\) 1.21824 0.958034i 0.0649324 0.0510634i
\(353\) −12.6168 + 12.0301i −0.671522 + 0.640295i −0.947083 0.320988i \(-0.895985\pi\)
0.275561 + 0.961284i \(0.411136\pi\)
\(354\) 0.427898 + 8.98268i 0.0227425 + 0.477424i
\(355\) −25.3521 + 10.1494i −1.34555 + 0.538676i
\(356\) −0.452568 + 0.990986i −0.0239861 + 0.0525222i
\(357\) 2.04213 3.49382i 0.108081 0.184912i
\(358\) 2.76093 19.2027i 0.145920 1.01489i
\(359\) −0.952018 0.490799i −0.0502456 0.0259034i 0.432921 0.901432i \(-0.357483\pi\)
−0.483166 + 0.875529i \(0.660513\pi\)
\(360\) 7.29593 6.95665i 0.384529 0.366648i
\(361\) 15.2671 + 6.11204i 0.803534 + 0.321686i
\(362\) −1.81918 + 5.25618i −0.0956141 + 0.276259i
\(363\) −5.95832 3.82918i −0.312731 0.200980i
\(364\) −0.320751 0.0960461i −0.0168119 0.00503418i
\(365\) 5.97486 1.75438i 0.312739 0.0918284i
\(366\) −1.99082 + 2.79571i −0.104062 + 0.146134i
\(367\) 1.26627 2.19324i 0.0660985 0.114486i −0.831082 0.556150i \(-0.812278\pi\)
0.897181 + 0.441664i \(0.145612\pi\)
\(368\) −5.72384 19.6026i −0.298376 1.02186i
\(369\) −4.10984 7.11846i −0.213950 0.370572i
\(370\) −16.1614 35.3884i −0.840189 1.83976i
\(371\) −7.37079 8.59878i −0.382672 0.446426i
\(372\) −0.526468 + 0.607576i −0.0272961 + 0.0315014i
\(373\) 1.42231 29.8580i 0.0736444 1.54599i −0.595805 0.803129i \(-0.703167\pi\)
0.669450 0.742857i \(-0.266530\pi\)
\(374\) 4.34726 0.837866i 0.224791 0.0433250i
\(375\) 12.7745 + 5.11415i 0.659674 + 0.264094i
\(376\) −2.06139 8.49718i −0.106308 0.438208i
\(377\) −2.54479 + 1.63544i −0.131064 + 0.0842294i
\(378\) 0.932280 3.75520i 0.0479513 0.193147i
\(379\) 4.56310 9.99179i 0.234390 0.513244i −0.755488 0.655163i \(-0.772600\pi\)
0.989878 + 0.141919i \(0.0453273\pi\)
\(380\) 3.04362 0.290630i 0.156134 0.0149090i
\(381\) 14.8433 + 11.6729i 0.760446 + 0.598022i
\(382\) 0.317129 + 6.65736i 0.0162257 + 0.340620i
\(383\) 8.86755 + 36.5525i 0.453110 + 1.86775i 0.495439 + 0.868643i \(0.335007\pi\)
−0.0423287 + 0.999104i \(0.513478\pi\)
\(384\) 1.75697 + 12.2200i 0.0896602 + 0.623601i
\(385\) −19.3150 + 1.74024i −0.984383 + 0.0886909i
\(386\) −15.8637 10.1950i −0.807444 0.518912i
\(387\) −9.94196 1.91616i −0.505378 0.0974036i
\(388\) 0.295971 1.22001i 0.0150256 0.0619365i
\(389\) −5.03417 0.480705i −0.255242 0.0243727i −0.0333495 0.999444i \(-0.510617\pi\)
−0.221893 + 0.975071i \(0.571224\pi\)
\(390\) −2.47137 4.28053i −0.125142 0.216753i
\(391\) 1.39909 7.20089i 0.0707550 0.364165i
\(392\) −6.03924 18.0719i −0.305028 0.912771i
\(393\) −4.50207 9.85815i −0.227099 0.497278i
\(394\) −25.0326 23.8685i −1.26112 1.20248i
\(395\) −11.3966 32.9284i −0.573427 1.65681i
\(396\) 0.243946 0.125763i 0.0122587 0.00631982i
\(397\) 10.1043 29.1944i 0.507120 1.46523i −0.343352 0.939207i \(-0.611562\pi\)
0.850472 0.526020i \(-0.176316\pi\)
\(398\) 3.71515 + 25.8394i 0.186224 + 1.29521i
\(399\) −12.4335 + 9.67074i −0.622455 + 0.484143i
\(400\) −31.2203 + 20.0640i −1.56101 + 1.00320i
\(401\) −11.1070 + 4.44659i −0.554659 + 0.222052i −0.632021 0.774951i \(-0.717774\pi\)
0.0773623 + 0.997003i \(0.475350\pi\)
\(402\) 3.53967 + 4.97077i 0.176543 + 0.247920i
\(403\) −3.06906 4.30990i −0.152881 0.214691i
\(404\) 1.88734 0.755579i 0.0938989 0.0375915i
\(405\) 3.11554 2.00223i 0.154812 0.0994918i
\(406\) 11.8807 + 4.83013i 0.589628 + 0.239715i
\(407\) 2.02331 + 14.0725i 0.100292 + 0.697546i
\(408\) −1.36177 + 3.93456i −0.0674175 + 0.194790i
\(409\) −9.92237 + 5.11534i −0.490630 + 0.252937i −0.685743 0.727843i \(-0.740523\pi\)
0.195114 + 0.980781i \(0.437492\pi\)
\(410\) 14.5603 + 42.0693i 0.719083 + 2.07765i
\(411\) 9.29369 + 8.86152i 0.458424 + 0.437106i
\(412\) 0.564074 + 1.23515i 0.0277899 + 0.0608514i
\(413\) 6.67943 + 14.8352i 0.328673 + 0.729993i
\(414\) −0.656180 6.98275i −0.0322495 0.343183i
\(415\) 19.8512 + 34.3832i 0.974455 + 1.68781i
\(416\) 0.711383 + 0.0679289i 0.0348784 + 0.00333049i
\(417\) 4.65160 19.1742i 0.227790 0.938963i
\(418\) −16.9210 3.26125i −0.827631 0.159513i
\(419\) −7.06149 4.53814i −0.344976 0.221703i 0.356666 0.934232i \(-0.383913\pi\)
−0.701643 + 0.712529i \(0.747550\pi\)
\(420\) −0.571032 + 1.23291i −0.0278635 + 0.0601597i
\(421\) −5.55432 38.6312i −0.270701 1.88277i −0.441198 0.897410i \(-0.645446\pi\)
0.170497 0.985358i \(-0.445463\pi\)
\(422\) 8.44234 + 34.7998i 0.410967 + 1.69403i
\(423\) −0.152841 3.20852i −0.00743137 0.156004i
\(424\) 9.15918 + 7.20286i 0.444809 + 0.349802i
\(425\) −13.2706 + 1.26719i −0.643719 + 0.0614677i
\(426\) 4.47962 9.80900i 0.217038 0.475248i
\(427\) −1.49611 + 6.02629i −0.0724018 + 0.291633i
\(428\) −1.03165 + 0.663000i −0.0498666 + 0.0320473i
\(429\) 0.425846 + 1.75536i 0.0205600 + 0.0847496i
\(430\) 50.9084 + 20.3807i 2.45502 + 0.982843i
\(431\) 12.5782 2.42424i 0.605868 0.116772i 0.122914 0.992417i \(-0.460776\pi\)
0.482954 + 0.875646i \(0.339564\pi\)
\(432\) −0.202609 + 4.25328i −0.00974803 + 0.204636i
\(433\) −11.1652 + 12.8853i −0.536563 + 0.619227i −0.957699 0.287770i \(-0.907086\pi\)
0.421136 + 0.906997i \(0.361631\pi\)
\(434\) −7.44996 + 21.1587i −0.357609 + 1.01565i
\(435\) 5.09947 + 11.1663i 0.244501 + 0.535382i
\(436\) 0.210453 + 0.364515i 0.0100789 + 0.0174571i
\(437\) −15.4727 + 23.9966i −0.740158 + 1.14791i
\(438\) −1.22948 + 2.12952i −0.0587469 + 0.101753i
\(439\) −11.5586 + 16.2318i −0.551662 + 0.774701i −0.992416 0.122927i \(-0.960772\pi\)
0.440754 + 0.897628i \(0.354711\pi\)
\(440\) 19.1443 5.62126i 0.912667 0.267983i
\(441\) −0.922088 6.93900i −0.0439089 0.330429i
\(442\) 1.71734 + 1.10367i 0.0816856 + 0.0524962i
\(443\) −9.52742 + 27.5277i −0.452661 + 1.30788i 0.455864 + 0.890049i \(0.349330\pi\)
−0.908525 + 0.417830i \(0.862791\pi\)
\(444\) 0.924730 + 0.370206i 0.0438857 + 0.0175692i
\(445\) −21.0577 + 20.0784i −0.998229 + 0.951809i
\(446\) 28.8799 + 14.8886i 1.36750 + 0.704997i
\(447\) −1.00775 + 7.00908i −0.0476651 + 0.331518i
\(448\) 9.66062 + 16.9411i 0.456421 + 0.800393i
\(449\) −2.01931 + 4.42168i −0.0952973 + 0.208672i −0.951277 0.308337i \(-0.900227\pi\)
0.855980 + 0.517009i \(0.172955\pi\)
\(450\) −11.8327 + 4.73711i −0.557800 + 0.223310i
\(451\) −0.774092 16.2502i −0.0364505 0.765191i
\(452\) 0.463354 0.441808i 0.0217944 0.0207809i
\(453\) −6.28776 + 4.94475i −0.295425 + 0.232324i
\(454\) 23.8254 + 27.4959i 1.11818 + 1.29045i
\(455\) −6.99940 5.56519i −0.328137 0.260900i
\(456\) 10.6126 12.2476i 0.496982 0.573547i
\(457\) 14.3948 + 13.7254i 0.673358 + 0.642046i 0.947542 0.319631i \(-0.103559\pi\)
−0.274184 + 0.961677i \(0.588408\pi\)
\(458\) −31.0201 2.96206i −1.44947 0.138408i
\(459\) −0.764784 + 1.32465i −0.0356971 + 0.0618291i
\(460\) −0.237799 + 2.45139i −0.0110874 + 0.114297i
\(461\) 5.16085 0.240365 0.120182 0.992752i \(-0.461652\pi\)
0.120182 + 0.992752i \(0.461652\pi\)
\(462\) 5.04579 5.76065i 0.234751 0.268010i
\(463\) −8.28285 + 2.43206i −0.384937 + 0.113028i −0.468475 0.883477i \(-0.655196\pi\)
0.0835378 + 0.996505i \(0.473378\pi\)
\(464\) −13.8590 2.67111i −0.643389 0.124003i
\(465\) −19.0842 + 9.83858i −0.885008 + 0.456253i
\(466\) −10.6111 + 2.04513i −0.491550 + 0.0947386i
\(467\) 11.1971 8.80546i 0.518138 0.407468i −0.324552 0.945868i \(-0.605213\pi\)
0.842690 + 0.538400i \(0.180971\pi\)
\(468\) 0.121425 + 0.0356536i 0.00561287 + 0.00164809i
\(469\) 9.25542 + 6.01823i 0.427375 + 0.277896i
\(470\) −2.47585 + 17.2199i −0.114203 + 0.794297i
\(471\) −0.996335 + 0.0951384i −0.0459087 + 0.00438375i
\(472\) −9.70941 13.6350i −0.446912 0.627600i
\(473\) −15.7521 12.3876i −0.724283 0.569583i
\(474\) 12.2300 + 6.30499i 0.561741 + 0.289598i
\(475\) 49.7867 + 14.6187i 2.28437 + 0.670751i
\(476\) −0.0237054 0.560669i −0.00108654 0.0256982i
\(477\) 2.80323 + 3.23510i 0.128351 + 0.148125i
\(478\) −1.63274 + 34.2754i −0.0746798 + 1.56772i
\(479\) −9.54655 27.5829i −0.436193 1.26030i −0.922326 0.386412i \(-0.873714\pi\)
0.486133 0.873885i \(-0.338407\pi\)
\(480\) 0.683691 2.81821i 0.0312061 0.128633i
\(481\) −3.80258 + 5.33997i −0.173383 + 0.243482i
\(482\) −25.5964 −1.16589
\(483\) −5.73688 11.3176i −0.261037 0.514969i
\(484\) −0.982141 −0.0446428
\(485\) 19.4482 27.3112i 0.883099 1.24014i
\(486\) −0.344778 + 1.42120i −0.0156395 + 0.0644667i
\(487\) −11.2390 32.4730i −0.509288 1.47149i −0.847691 0.530490i \(-0.822008\pi\)
0.338403 0.941001i \(-0.390113\pi\)
\(488\) 0.303967 6.38105i 0.0137599 0.288856i
\(489\) 13.5626 + 15.6521i 0.613321 + 0.707811i
\(490\) −2.20859 + 37.8475i −0.0997739 + 1.70978i
\(491\) 37.2376 + 10.9339i 1.68051 + 0.493442i 0.976276 0.216528i \(-0.0694732\pi\)
0.704232 + 0.709970i \(0.251291\pi\)
\(492\) −1.01310 0.522291i −0.0456742 0.0235467i
\(493\) −3.98526 3.13405i −0.179487 0.141150i
\(494\) −4.60903 6.47248i −0.207370 0.291211i
\(495\) 7.29676 0.696756i 0.327965 0.0313169i
\(496\) 3.51328 24.4354i 0.157751 1.09718i
\(497\) 1.03241 19.4817i 0.0463100 0.873875i
\(498\) −15.0426 4.41691i −0.674076 0.197926i
\(499\) 4.13248 3.24981i 0.184995 0.145482i −0.521367 0.853333i \(-0.674578\pi\)
0.706362 + 0.707851i \(0.250335\pi\)
\(500\) 1.87362 0.361111i 0.0837909 0.0161494i
\(501\) 20.0564 10.3398i 0.896055 0.461949i
\(502\) 6.41470 + 1.23633i 0.286302 + 0.0551802i
\(503\) 33.3983 9.80664i 1.48916 0.437256i 0.566886 0.823796i \(-0.308148\pi\)
0.922273 + 0.386540i \(0.126330\pi\)
\(504\) 2.31909 + 6.81825i 0.103300 + 0.303709i
\(505\) 54.2951 2.41610
\(506\) 5.17853 12.8792i 0.230214 0.572550i
\(507\) 6.08356 10.5370i 0.270181 0.467966i
\(508\) 2.60666 + 0.248906i 0.115652 + 0.0110434i
\(509\) 10.7865 + 10.2849i 0.478105 + 0.455872i 0.890400 0.455178i \(-0.150424\pi\)
−0.412296 + 0.911050i \(0.635273\pi\)
\(510\) 5.42495 6.26072i 0.240221 0.277230i
\(511\) −0.656635 + 4.39993i −0.0290478 + 0.194642i
\(512\) −12.9972 14.9996i −0.574400 0.662893i
\(513\) 4.67983 3.68026i 0.206620 0.162487i
\(514\) 13.0301 12.4242i 0.574734 0.548008i
\(515\) 1.72554 + 36.2235i 0.0760364 + 1.59620i
\(516\) −1.30343 + 0.521816i −0.0573804 + 0.0229717i
\(517\) 2.64104 5.78306i 0.116153 0.254339i
\(518\) 27.7928 + 0.148539i 1.22115 + 0.00652641i
\(519\) 1.34979 9.38802i 0.0592494 0.412088i
\(520\) 8.17734 + 4.21571i 0.358600 + 0.184871i
\(521\) −17.6587 + 16.8376i −0.773644 + 0.737668i −0.970063 0.242852i \(-0.921917\pi\)
0.196420 + 0.980520i \(0.437069\pi\)
\(522\) −4.50016 1.80159i −0.196967 0.0788536i
\(523\) 10.5627 30.5189i 0.461874 1.33450i −0.438246 0.898855i \(-0.644400\pi\)
0.900120 0.435642i \(-0.143479\pi\)
\(524\) −1.26425 0.812485i −0.0552291 0.0354936i
\(525\) −16.7735 + 15.8232i −0.732053 + 0.690580i
\(526\) 12.7038 3.73016i 0.553910 0.162643i
\(527\) 5.14382 7.22348i 0.224068 0.314660i
\(528\) −4.21388 + 7.29865i −0.183385 + 0.317633i
\(529\) −16.5981 15.9218i −0.721656 0.692252i
\(530\) −11.5920 20.0779i −0.503523 0.872127i
\(531\) −2.55452 5.59361i −0.110857 0.242742i
\(532\) −0.725422 + 2.06028i −0.0314510 + 0.0893244i
\(533\) 4.91240 5.66921i 0.212780 0.245561i
\(534\) 0.546687 11.4764i 0.0236575 0.496631i
\(535\) −32.1599 + 6.19831i −1.39039 + 0.267976i
\(536\) −10.5447 4.22148i −0.455464 0.182340i
\(537\) 3.12753 + 12.8919i 0.134963 + 0.556325i
\(538\) −26.0156 + 16.7192i −1.12161 + 0.720818i
\(539\) 4.67107 13.0434i 0.201197 0.561819i
\(540\) 0.213336 0.467142i 0.00918054 0.0201026i
\(541\) 11.9718 1.14317i 0.514709 0.0491488i 0.165530 0.986205i \(-0.447066\pi\)
0.349179 + 0.937056i \(0.386460\pi\)
\(542\) −14.6458 11.5176i −0.629092 0.494723i
\(543\) −0.180971 3.79905i −0.00776620 0.163033i
\(544\) 0.282373 + 1.16396i 0.0121066 + 0.0499042i
\(545\) 1.59980 + 11.1268i 0.0685277 + 0.476621i
\(546\) 3.51685 0.316861i 0.150507 0.0135604i
\(547\) −16.5652 10.6458i −0.708276 0.455181i 0.136265 0.990672i \(-0.456490\pi\)
−0.844541 + 0.535491i \(0.820126\pi\)
\(548\) 1.74850 + 0.336996i 0.0746923 + 0.0143958i
\(549\) 0.553295 2.28071i 0.0236141 0.0973385i
\(550\) −25.1124 2.39795i −1.07080 0.102249i
\(551\) 9.86699 + 17.0901i 0.420348 + 0.728064i
\(552\) 8.05431 + 10.2736i 0.342814 + 0.437275i
\(553\) 24.7675 + 2.49866i 1.05322 + 0.106254i
\(554\) 13.9814 + 30.6150i 0.594013 + 1.30071i
\(555\) 19.2532 + 18.3579i 0.817253 + 0.779249i
\(556\) −0.894847 2.58549i −0.0379500 0.109649i
\(557\) 20.0281 10.3252i 0.848619 0.437494i 0.0216667 0.999765i \(-0.493103\pi\)
0.826953 + 0.562272i \(0.190072\pi\)
\(558\) 2.77304 8.01217i 0.117392 0.339182i
\(559\) −1.31502 9.14614i −0.0556193 0.386841i
\(560\) −5.71695 41.3291i −0.241585 1.74647i
\(561\) −2.54678 + 1.63671i −0.107525 + 0.0691021i
\(562\) −45.1217 + 18.0640i −1.90334 + 0.761984i
\(563\) 19.6142 + 27.5443i 0.826641 + 1.16086i 0.984843 + 0.173448i \(0.0554910\pi\)
−0.158202 + 0.987407i \(0.550570\pi\)
\(564\) −0.258371 0.362832i −0.0108794 0.0152780i
\(565\) 15.8739 6.35495i 0.667820 0.267355i
\(566\) −25.7428 + 16.5439i −1.08205 + 0.695393i
\(567\) 0.362528 + 2.62080i 0.0152248 + 0.110063i
\(568\) 2.85649 + 19.8673i 0.119856 + 0.833615i
\(569\) 10.4467 30.1836i 0.437946 1.26536i −0.482982 0.875630i \(-0.660446\pi\)
0.920928 0.389733i \(-0.127433\pi\)
\(570\) −28.6601 + 14.7753i −1.20044 + 0.618869i
\(571\) −4.61853 13.3444i −0.193279 0.558444i 0.806168 0.591687i \(-0.201538\pi\)
−0.999447 + 0.0332427i \(0.989417\pi\)
\(572\) 0.181276 + 0.172846i 0.00757953 + 0.00722706i
\(573\) −1.89323 4.14561i −0.0790910 0.173185i
\(574\) −31.6430 3.19228i −1.32075 0.133243i
\(575\) −19.2088 + 37.1228i −0.801064 + 1.54813i
\(576\) −3.68554 6.38354i −0.153564 0.265981i
\(577\) 24.3889 + 2.32886i 1.01532 + 0.0969516i 0.589428 0.807821i \(-0.299353\pi\)
0.425895 + 0.904773i \(0.359959\pi\)
\(578\) 5.05459 20.8353i 0.210243 0.866635i
\(579\) 12.6616 + 2.44032i 0.526196 + 0.101416i
\(580\) 1.43201 + 0.920297i 0.0594610 + 0.0382132i
\(581\) −28.2490 + 2.54518i −1.17197 + 0.105592i
\(582\) 1.88419 + 13.1049i 0.0781024 + 0.543214i
\(583\) 1.99744 + 8.23354i 0.0827253 + 0.340998i
\(584\) −0.217780 4.57176i −0.00901179 0.189181i
\(585\) 2.65673 + 2.08927i 0.109842 + 0.0863809i
\(586\) 38.3733 3.66421i 1.58519 0.151367i
\(587\) 1.19638 2.61971i 0.0493800 0.108127i −0.883334 0.468744i \(-0.844707\pi\)
0.932714 + 0.360617i \(0.117434\pi\)
\(588\) −0.627781 0.740341i −0.0258892 0.0305312i
\(589\) −29.0370 + 18.6609i −1.19645 + 0.768910i
\(590\) 7.85186 + 32.3658i 0.323256 + 1.33248i
\(591\) 21.9571 + 8.79030i 0.903195 + 0.361585i
\(592\) −30.0341 + 5.78860i −1.23439 + 0.237910i
\(593\) 0.562785 11.8143i 0.0231108 0.485156i −0.957409 0.288735i \(-0.906765\pi\)
0.980520 0.196420i \(-0.0629317\pi\)
\(594\) −1.89547 + 2.18748i −0.0777719 + 0.0897535i
\(595\) 4.97750 14.1366i 0.204057 0.579545i
\(596\) 0.407909 + 0.893196i 0.0167086 + 0.0365867i
\(597\) −8.92533 15.4591i −0.365290 0.632700i
\(598\) 5.82624 2.65017i 0.238253 0.108374i
\(599\) 24.0819 41.7111i 0.983961 1.70427i 0.337495 0.941327i \(-0.390420\pi\)
0.646466 0.762943i \(-0.276246\pi\)
\(600\) 13.7613 19.3250i 0.561802 0.788941i
\(601\) 3.47908 1.02155i 0.141915 0.0416699i −0.210004 0.977701i \(-0.567348\pi\)
0.351918 + 0.936031i \(0.385529\pi\)
\(602\) −28.4966 + 26.8822i −1.16143 + 1.09564i
\(603\) −3.51033 2.25595i −0.142952 0.0918694i
\(604\) −0.362793 + 1.04822i −0.0147618 + 0.0426515i
\(605\) −24.3514 9.74881i −0.990023 0.396346i
\(606\) −15.5169 + 14.7953i −0.630331 + 0.601020i
\(607\) −14.9055 7.68430i −0.604994 0.311896i 0.128376 0.991726i \(-0.459024\pi\)
−0.733370 + 0.679829i \(0.762054\pi\)
\(608\) 0.663459 4.61446i 0.0269068 0.187141i
\(609\) −8.76959 0.0468690i −0.355362 0.00189923i
\(610\) −5.28018 + 11.5620i −0.213788 + 0.468131i
\(611\) 2.72149 1.08952i 0.110100 0.0440772i
\(612\) 0.0100922 + 0.211862i 0.000407955 + 0.00856402i
\(613\) 4.69560 4.47725i 0.189654 0.180834i −0.589303 0.807912i \(-0.700598\pi\)
0.778957 + 0.627078i \(0.215749\pi\)
\(614\) 31.7404 24.9609i 1.28094 1.00734i
\(615\) −19.9347 23.0059i −0.803846 0.927687i
\(616\) −2.10394 + 14.0980i −0.0847703 + 0.568023i
\(617\) −31.4611 + 36.3080i −1.26658 + 1.46171i −0.440907 + 0.897553i \(0.645343\pi\)
−0.825670 + 0.564154i \(0.809202\pi\)
\(618\) −10.3640 9.88206i −0.416901 0.397515i
\(619\) 3.56902 + 0.340800i 0.143451 + 0.0136979i 0.166534 0.986036i \(-0.446742\pi\)
−0.0230835 + 0.999734i \(0.507348\pi\)
\(620\) −1.48867 + 2.57845i −0.0597865 + 0.103553i
\(621\) 2.19117 + 4.26600i 0.0879285 + 0.171189i
\(622\) 6.68157 0.267907
\(623\) −6.69341 19.6790i −0.268166 0.788422i
\(624\) −3.72862 + 1.09482i −0.149264 + 0.0438279i
\(625\) 7.24922 + 1.39717i 0.289969 + 0.0558869i
\(626\) −7.86977 + 4.05715i −0.314539 + 0.162156i
\(627\) 11.5705 2.23004i 0.462083 0.0890591i
\(628\) −0.109095 + 0.0857932i −0.00435336 + 0.00342352i
\(629\) −10.5421 3.09545i −0.420343 0.123424i
\(630\) 0.758304 14.3093i 0.0302116 0.570095i
\(631\) 3.33783 23.2151i 0.132877 0.924180i −0.808901 0.587945i \(-0.799937\pi\)
0.941778 0.336235i \(-0.109154\pi\)
\(632\) −25.4951 + 2.43449i −1.01414 + 0.0968387i
\(633\) −14.2034 19.9459i −0.564536 0.792780i
\(634\) 5.01660 + 3.94509i 0.199234 + 0.156680i
\(635\) 62.1594 + 32.0454i 2.46672 + 1.27168i
\(636\) 0.569545 + 0.167233i 0.0225839 + 0.00663124i
\(637\) 5.70914 2.86644i 0.226204 0.113573i
\(638\) −6.28278 7.25072i −0.248738 0.287059i
\(639\) −0.350856 + 7.36538i −0.0138797 + 0.291370i
\(640\) 14.9541 + 43.2069i 0.591111 + 1.70790i
\(641\) 0.540475 2.22787i 0.0213475 0.0879956i −0.960141 0.279515i \(-0.909826\pi\)
0.981489 + 0.191519i \(0.0613415\pi\)
\(642\) 7.50189 10.5349i 0.296076 0.415780i
\(643\) −31.2564 −1.23263 −0.616315 0.787499i \(-0.711375\pi\)
−0.616315 + 0.787499i \(0.711375\pi\)
\(644\) −1.51771 0.890165i −0.0598063 0.0350774i
\(645\) −37.4971 −1.47645
\(646\) 7.72484 10.8480i 0.303930 0.426810i
\(647\) 5.13567 21.1695i 0.201904 0.832259i −0.777259 0.629181i \(-0.783390\pi\)
0.979163 0.203078i \(-0.0650945\pi\)
\(648\) −0.890294 2.57234i −0.0349741 0.101051i
\(649\) 0.579113 12.1571i 0.0227322 0.477207i
\(650\) −7.61733 8.79087i −0.298776 0.344806i
\(651\) −0.647961 15.3252i −0.0253956 0.600644i
\(652\) 2.75557 + 0.809110i 0.107917 + 0.0316872i
\(653\) −4.23767 2.18467i −0.165833 0.0854927i 0.373312 0.927706i \(-0.378222\pi\)
−0.539145 + 0.842213i \(0.681252\pi\)
\(654\) −3.48925 2.74397i −0.136440 0.107298i
\(655\) −23.2813 32.6939i −0.909674 1.27746i
\(656\) 34.8418 3.32699i 1.36034 0.129897i
\(657\) 0.239293 1.66432i 0.00933572 0.0649313i
\(658\) −10.4194 6.77512i −0.406192 0.264122i
\(659\) −0.771905 0.226652i −0.0300692 0.00882910i 0.266663 0.963790i \(-0.414079\pi\)
−0.296733 + 0.954961i \(0.595897\pi\)
\(660\) 0.798969 0.628316i 0.0310998 0.0244572i
\(661\) 13.4683 2.59580i 0.523857 0.100965i 0.0795344 0.996832i \(-0.474657\pi\)
0.444322 + 0.895867i \(0.353445\pi\)
\(662\) 32.2644 16.6335i 1.25399 0.646478i
\(663\) −1.37069 0.264178i −0.0532330 0.0102598i
\(664\) 27.9993 8.22133i 1.08658 0.319050i
\(665\) −38.4367 + 43.8823i −1.49051 + 1.70168i
\(666\) −10.5048 −0.407055
\(667\) −15.0300 + 5.17663i −0.581962 + 0.200440i
\(668\) 1.56451 2.70981i 0.0605328 0.104846i
\(669\) −22.1173 2.11194i −0.855103 0.0816524i
\(670\) 16.3560 + 15.5954i 0.631888 + 0.602504i
\(671\) 3.04181 3.51044i 0.117428 0.135519i
\(672\) 1.62163 + 1.28935i 0.0625556 + 0.0497377i
\(673\) 16.8239 + 19.4158i 0.648514 + 0.748425i 0.980856 0.194734i \(-0.0623843\pi\)
−0.332342 + 0.943159i \(0.607839\pi\)
\(674\) 7.40909 5.82658i 0.285388 0.224431i
\(675\) 6.30772 6.01439i 0.242784 0.231494i
\(676\) −0.0802799 1.68528i −0.00308769 0.0648185i
\(677\) −9.18894 + 3.67870i −0.353160 + 0.141384i −0.541457 0.840728i \(-0.682127\pi\)
0.188298 + 0.982112i \(0.439703\pi\)
\(678\) −2.80486 + 6.14179i −0.107720 + 0.235874i
\(679\) 11.8653 + 20.8073i 0.455347 + 0.798510i
\(680\) −2.19442 + 15.2626i −0.0841523 + 0.585292i
\(681\) −22.1126 11.3998i −0.847357 0.436843i
\(682\) 12.1448 11.5801i 0.465050 0.443424i
\(683\) −19.3996 7.76644i −0.742307 0.297175i −0.0304851 0.999535i \(-0.509705\pi\)
−0.711821 + 0.702361i \(0.752129\pi\)
\(684\) 0.270018 0.780166i 0.0103244 0.0298304i
\(685\) 40.0076 + 25.7113i 1.52861 + 0.982379i
\(686\) −23.8715 12.7951i −0.911417 0.488521i
\(687\) 20.4449 6.00315i 0.780020 0.229035i
\(688\) 25.0080 35.1188i 0.953422 1.33889i
\(689\) −1.95330 + 3.38321i −0.0744147 + 0.128890i
\(690\) −7.28029 24.9330i −0.277156 0.949183i
\(691\) 8.46072 + 14.6544i 0.321861 + 0.557480i 0.980872 0.194654i \(-0.0623583\pi\)
−0.659011 + 0.752133i \(0.729025\pi\)
\(692\) −0.546357 1.19635i −0.0207694 0.0454786i
\(693\) −1.73913 + 4.93931i −0.0660639 + 0.187629i
\(694\) 28.6994 33.1209i 1.08941 1.25725i
\(695\) 3.47682 72.9874i 0.131883 2.76857i
\(696\) 8.85955 1.70754i 0.335821 0.0647241i
\(697\) 11.6720 + 4.67275i 0.442108 + 0.176993i
\(698\) −1.47074 6.06247i −0.0556683 0.229468i
\(699\) 6.21636 3.99501i 0.235124 0.151105i
\(700\) −0.770450 + 3.10335i −0.0291203 + 0.117296i
\(701\) −7.87619 + 17.2465i −0.297480 + 0.651389i −0.998065 0.0621791i \(-0.980195\pi\)
0.700585 + 0.713569i \(0.252922\pi\)
\(702\) −1.32859 + 0.126865i −0.0501443 + 0.00478820i
\(703\) 33.6162 + 26.4361i 1.26786 + 0.997055i
\(704\) −0.694174 14.5725i −0.0261627 0.549222i
\(705\) −2.80460 11.5607i −0.105627 0.435402i
\(706\) −3.62820 25.2347i −0.136549 0.949719i
\(707\) −16.3017 + 35.1967i −0.613088 + 1.32371i
\(708\) −0.717348 0.461012i −0.0269596 0.0173259i
\(709\) 8.76139 + 1.68862i 0.329041 + 0.0634174i 0.351096 0.936339i \(-0.385809\pi\)
−0.0220556 + 0.999757i \(0.507021\pi\)
\(710\) 9.41528 38.8103i 0.353349 1.45653i
\(711\) −9.36615 0.894359i −0.351258 0.0335411i
\(712\) 10.6928 + 18.5204i 0.400729 + 0.694083i
\(713\) −10.2950 25.8280i −0.385549 0.967267i
\(714\) 2.42970 + 5.39645i 0.0909293 + 0.201957i
\(715\) 2.77890 + 6.08494i 0.103925 + 0.227564i
\(716\) 1.33134 + 1.26943i 0.0497546 + 0.0474409i
\(717\) −7.67435 22.1736i −0.286604 0.828087i
\(718\) 1.39225 0.717754i 0.0519583 0.0267863i
\(719\) −3.29294 + 9.51434i −0.122806 + 0.354825i −0.989601 0.143840i \(-0.954055\pi\)
0.866795 + 0.498665i \(0.166176\pi\)
\(720\) 2.24426 + 15.6092i 0.0836386 + 0.581719i
\(721\) −23.9999 9.75726i −0.893803 0.363379i
\(722\) −20.2319 + 13.0022i −0.752952 + 0.483893i
\(723\) 16.2490 6.50514i 0.604309 0.241929i
\(724\) −0.305924 0.429611i −0.0113696 0.0159663i
\(725\) 16.7571 + 23.5321i 0.622345 + 0.873961i
\(726\) 9.61587 3.84962i 0.356879 0.142873i
\(727\) −23.4929 + 15.0980i −0.871305 + 0.559953i −0.898152 0.439686i \(-0.855090\pi\)
0.0268469 + 0.999640i \(0.491453\pi\)
\(728\) −5.18801 + 4.03521i −0.192280 + 0.149555i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −2.97849 + 8.60578i −0.110239 + 0.318514i
\(731\) 13.7652 7.09645i 0.509124 0.262472i
\(732\) −0.106440 0.307537i −0.00393412 0.0113669i
\(733\) −6.42340 6.12470i −0.237254 0.226221i 0.562119 0.827056i \(-0.309986\pi\)
−0.799373 + 0.600835i \(0.794835\pi\)
\(734\) 1.53854 + 3.36893i 0.0567885 + 0.124350i
\(735\) −8.21661 24.5875i −0.303074 0.906925i
\(736\) 3.54695 + 1.23359i 0.130742 + 0.0454706i
\(737\) −4.12939 7.15231i −0.152108 0.263459i
\(738\) 11.9662 + 1.14263i 0.440482 + 0.0420609i
\(739\) −3.28072 + 13.5233i −0.120683 + 0.497463i 0.879100 + 0.476637i \(0.158145\pi\)
−0.999783 + 0.0208252i \(0.993371\pi\)
\(740\) 3.62227 + 0.698135i 0.133157 + 0.0256640i
\(741\) 4.57082 + 2.93749i 0.167913 + 0.107911i
\(742\) 16.4958 1.48624i 0.605581 0.0545616i
\(743\) 2.30993 + 16.0659i 0.0847432 + 0.589402i 0.987304 + 0.158840i \(0.0507754\pi\)
−0.902561 + 0.430562i \(0.858315\pi\)
\(744\) 3.72057 + 15.3364i 0.136403 + 0.562260i
\(745\) 1.24782 + 26.1950i 0.0457166 + 0.959710i
\(746\) 34.3618 + 27.0224i 1.25807 + 0.989361i
\(747\) 10.6718 1.01904i 0.390462 0.0372846i
\(748\) −0.174391 + 0.381862i −0.00637635 + 0.0139623i
\(749\) 5.63771 22.7086i 0.205998 0.829753i
\(750\) −16.9287 + 10.8794i −0.618149 + 0.397260i
\(751\) −4.03914 16.6496i −0.147390 0.607551i −0.996808 0.0798305i \(-0.974562\pi\)
0.849418 0.527720i \(-0.176953\pi\)
\(752\) 12.6980 + 5.08349i 0.463047 + 0.185376i
\(753\) −4.38636 + 0.845402i −0.159848 + 0.0308082i
\(754\) 0.210494 4.41881i 0.00766573 0.160923i
\(755\) −19.3999 + 22.3886i −0.706034 + 0.814806i
\(756\) 0.238771 + 0.278551i 0.00868402 + 0.0101308i
\(757\) 14.1773 + 31.0441i 0.515284 + 1.12832i 0.971194 + 0.238289i \(0.0765866\pi\)
−0.455910 + 0.890026i \(0.650686\pi\)
\(758\) 8.03191 + 13.9117i 0.291732 + 0.505295i
\(759\) −0.0142703 + 9.49202i −0.000517980 + 0.344538i
\(760\) 30.0089 51.9769i 1.08854 1.88540i
\(761\) 6.67433 9.37278i 0.241944 0.339763i −0.675692 0.737184i \(-0.736155\pi\)
0.917637 + 0.397421i \(0.130095\pi\)
\(762\) −26.4968 + 7.78015i −0.959876 + 0.281845i
\(763\) −7.69327 2.30368i −0.278515 0.0833988i
\(764\) −0.531650 0.341671i −0.0192344 0.0123612i
\(765\) −1.85273 + 5.35312i −0.0669857 + 0.193543i
\(766\) −51.0654 20.4435i −1.84507 0.738654i
\(767\) 4.06158 3.87271i 0.146655 0.139835i
\(768\) −2.94418 1.51783i −0.106239 0.0547701i
\(769\) 0.545423 3.79350i 0.0196684 0.136797i −0.977621 0.210373i \(-0.932532\pi\)
0.997290 + 0.0735761i \(0.0234412\pi\)
\(770\) 14.3116 24.4852i 0.515753 0.882386i
\(771\) −5.11423 + 11.1986i −0.184184 + 0.403308i
\(772\) 1.65998 0.664558i 0.0597442 0.0239180i