Properties

Label 770.2.n.k.141.2
Level $770$
Weight $2$
Character 770.141
Analytic conductor $6.148$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} - 8420 x^{7} + 13485 x^{6} - 14630 x^{5} + 11615 x^{4} - 5200 x^{3} + 1425 x^{2} - 225 x + 25\)
Coefficient ring: \(\Z[a_1, \ldots, a_{11}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 141.2
Root \(0.988623 + 0.718277i\) of defining polynomial
Character \(\chi\) \(=\) 770.141
Dual form 770.2.n.k.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} -1.00000 q^{10} +(0.912280 - 3.18869i) q^{11} +1.22201 q^{12} +(1.07481 - 3.30793i) q^{13} +(0.809017 - 0.587785i) q^{14} +(0.988623 + 0.718277i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.0426835 - 0.131366i) q^{17} +(1.21895 + 0.885617i) q^{18} +(-0.416899 + 0.302895i) q^{19} +(-0.309017 + 0.951057i) q^{20} -1.22201 q^{21} +(-2.75071 - 1.85299i) q^{22} +1.51048 q^{23} +(0.377620 - 1.16220i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(-2.81389 - 2.04441i) q^{26} +(-1.70182 - 5.23767i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(-7.47582 - 5.43150i) q^{29} +(0.988623 - 0.718277i) q^{30} +(3.17133 - 9.76035i) q^{31} +1.00000 q^{32} +(1.38846 + 3.80768i) q^{33} -0.138127 q^{34} +(0.309017 - 0.951057i) q^{35} +(1.21895 - 0.885617i) q^{36} +(-1.34992 - 0.980774i) q^{37} +(0.159241 + 0.490094i) q^{38} +(1.31343 + 4.04231i) q^{39} +(0.809017 + 0.587785i) q^{40} +(9.85932 - 7.16322i) q^{41} +(-0.377620 + 1.16220i) q^{42} -10.6660 q^{43} +(-2.61232 + 2.04348i) q^{44} +1.50670 q^{45} +(0.466765 - 1.43655i) q^{46} +(1.46183 - 1.06208i) q^{47} +(-0.988623 - 0.718277i) q^{48} +(0.309017 + 0.951057i) q^{49} +(0.309017 + 0.951057i) q^{50} +(0.136555 + 0.0992131i) q^{51} +(-2.81389 + 2.04441i) q^{52} +(0.429858 - 1.32297i) q^{53} -5.50722 q^{54} +(-3.31453 + 0.117729i) q^{55} -1.00000 q^{56} +(0.194594 - 0.598898i) q^{57} +(-7.47582 + 5.43150i) q^{58} +(-7.52800 - 5.46941i) q^{59} +(-0.377620 - 1.16220i) q^{60} +(4.17847 + 12.8600i) q^{61} +(-8.30265 - 6.03223i) q^{62} +(-1.21895 + 0.885617i) q^{63} +(0.309017 - 0.951057i) q^{64} -3.47816 q^{65} +(4.05038 - 0.143866i) q^{66} -1.84979 q^{67} +(-0.0426835 + 0.131366i) q^{68} +(-1.49330 + 1.08494i) q^{69} +(-0.809017 - 0.587785i) q^{70} +(-1.97528 - 6.07928i) q^{71} +(-0.465597 - 1.43296i) q^{72} +(8.95170 + 6.50379i) q^{73} +(-1.34992 + 0.980774i) q^{74} +(0.377620 - 1.16220i) q^{75} +0.515316 q^{76} +(2.61232 - 2.04348i) q^{77} +4.25033 q^{78} +(3.08608 - 9.49797i) q^{79} +(0.809017 - 0.587785i) q^{80} +(1.78772 + 1.29885i) q^{81} +(-3.76593 - 11.5903i) q^{82} +(0.681184 + 2.09647i) q^{83} +(0.988623 + 0.718277i) q^{84} +(-0.111747 + 0.0811888i) q^{85} +(-3.29598 + 10.1440i) q^{86} +11.2921 q^{87} +(1.13621 + 3.11593i) q^{88} +1.74164 q^{89} +(0.465597 - 1.43296i) q^{90} +(2.81389 - 2.04441i) q^{91} +(-1.22201 - 0.887839i) q^{92} +(3.87538 + 11.9272i) q^{93} +(-0.558370 - 1.71848i) q^{94} +(0.416899 + 0.302895i) q^{95} +(-0.988623 + 0.718277i) q^{96} +(-1.36299 + 4.19486i) q^{97} +1.00000 q^{98} +(4.14451 + 2.79190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 4q^{2} - 5q^{3} - 4q^{4} + 4q^{5} + 5q^{6} + 4q^{7} - 4q^{8} + q^{9} + O(q^{10}) \) \( 16q - 4q^{2} - 5q^{3} - 4q^{4} + 4q^{5} + 5q^{6} + 4q^{7} - 4q^{8} + q^{9} - 16q^{10} - 2q^{11} + 8q^{13} + 4q^{14} + 5q^{15} - 4q^{16} - 13q^{17} - 9q^{18} + 15q^{19} + 4q^{20} - 2q^{22} + 20q^{23} + 5q^{24} - 4q^{25} - 7q^{26} + 10q^{27} + 4q^{28} - 14q^{29} + 5q^{30} - 6q^{31} + 16q^{32} - 25q^{33} + 12q^{34} - 4q^{35} - 9q^{36} + 28q^{37} - 20q^{38} + 15q^{39} + 4q^{40} + 2q^{41} - 5q^{42} - 10q^{43} + 3q^{44} - 16q^{45} - 10q^{46} - 10q^{47} - 5q^{48} - 4q^{49} - 4q^{50} - 42q^{51} - 7q^{52} - 2q^{53} - 3q^{55} - 16q^{56} + 21q^{57} - 14q^{58} + 7q^{59} - 5q^{60} + 4q^{61} + 14q^{62} + 9q^{63} - 4q^{64} + 2q^{65} - 10q^{66} + 66q^{67} - 13q^{68} - 64q^{69} - 4q^{70} + 2q^{71} + q^{72} + 12q^{73} + 28q^{74} + 5q^{75} + 10q^{76} - 3q^{77} + 70q^{78} + 2q^{79} + 4q^{80} - 30q^{81} - 13q^{82} - 5q^{83} + 5q^{84} - 7q^{85} + 5q^{86} - 24q^{87} - 2q^{88} + 2q^{89} - q^{90} + 7q^{91} - 38q^{93} + 25q^{94} - 15q^{95} - 5q^{96} + 22q^{97} + 16q^{98} - 18q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) −0.988623 + 0.718277i −0.570782 + 0.414697i −0.835389 0.549659i \(-0.814758\pi\)
0.264607 + 0.964356i \(0.414758\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.309017 0.951057i −0.138197 0.425325i
\(6\) 0.377620 + 1.16220i 0.154163 + 0.474465i
\(7\) 0.809017 + 0.587785i 0.305780 + 0.222162i
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) −0.465597 + 1.43296i −0.155199 + 0.477653i
\(10\) −1.00000 −0.316228
\(11\) 0.912280 3.18869i 0.275063 0.961426i
\(12\) 1.22201 0.352763
\(13\) 1.07481 3.30793i 0.298099 0.917454i −0.684064 0.729422i \(-0.739789\pi\)
0.982163 0.188032i \(-0.0602109\pi\)
\(14\) 0.809017 0.587785i 0.216219 0.157092i
\(15\) 0.988623 + 0.718277i 0.255261 + 0.185458i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −0.0426835 0.131366i −0.0103523 0.0318610i 0.945747 0.324904i \(-0.105332\pi\)
−0.956099 + 0.293043i \(0.905332\pi\)
\(18\) 1.21895 + 0.885617i 0.287309 + 0.208742i
\(19\) −0.416899 + 0.302895i −0.0956432 + 0.0694889i −0.634579 0.772858i \(-0.718827\pi\)
0.538936 + 0.842347i \(0.318827\pi\)
\(20\) −0.309017 + 0.951057i −0.0690983 + 0.212663i
\(21\) −1.22201 −0.266663
\(22\) −2.75071 1.85299i −0.586454 0.395059i
\(23\) 1.51048 0.314957 0.157479 0.987522i \(-0.449663\pi\)
0.157479 + 0.987522i \(0.449663\pi\)
\(24\) 0.377620 1.16220i 0.0770815 0.237232i
\(25\) −0.809017 + 0.587785i −0.161803 + 0.117557i
\(26\) −2.81389 2.04441i −0.551850 0.400942i
\(27\) −1.70182 5.23767i −0.327516 1.00799i
\(28\) −0.309017 0.951057i −0.0583987 0.179733i
\(29\) −7.47582 5.43150i −1.38823 1.00860i −0.996057 0.0887108i \(-0.971725\pi\)
−0.392168 0.919894i \(-0.628275\pi\)
\(30\) 0.988623 0.718277i 0.180497 0.131139i
\(31\) 3.17133 9.76035i 0.569588 1.75301i −0.0843223 0.996439i \(-0.526873\pi\)
0.653910 0.756572i \(-0.273127\pi\)
\(32\) 1.00000 0.176777
\(33\) 1.38846 + 3.80768i 0.241700 + 0.662833i
\(34\) −0.138127 −0.0236885
\(35\) 0.309017 0.951057i 0.0522334 0.160758i
\(36\) 1.21895 0.885617i 0.203158 0.147603i
\(37\) −1.34992 0.980774i −0.221925 0.161238i 0.471268 0.881990i \(-0.343797\pi\)
−0.693193 + 0.720752i \(0.743797\pi\)
\(38\) 0.159241 + 0.490094i 0.0258324 + 0.0795038i
\(39\) 1.31343 + 4.04231i 0.210316 + 0.647287i
\(40\) 0.809017 + 0.587785i 0.127917 + 0.0929370i
\(41\) 9.85932 7.16322i 1.53977 1.11871i 0.589286 0.807925i \(-0.299409\pi\)
0.950481 0.310782i \(-0.100591\pi\)
\(42\) −0.377620 + 1.16220i −0.0582681 + 0.179331i
\(43\) −10.6660 −1.62655 −0.813277 0.581877i \(-0.802318\pi\)
−0.813277 + 0.581877i \(0.802318\pi\)
\(44\) −2.61232 + 2.04348i −0.393821 + 0.308066i
\(45\) 1.50670 0.224606
\(46\) 0.466765 1.43655i 0.0688207 0.211808i
\(47\) 1.46183 1.06208i 0.213230 0.154921i −0.476044 0.879421i \(-0.657930\pi\)
0.689274 + 0.724501i \(0.257930\pi\)
\(48\) −0.988623 0.718277i −0.142695 0.103674i
\(49\) 0.309017 + 0.951057i 0.0441453 + 0.135865i
\(50\) 0.309017 + 0.951057i 0.0437016 + 0.134500i
\(51\) 0.136555 + 0.0992131i 0.0191215 + 0.0138926i
\(52\) −2.81389 + 2.04441i −0.390217 + 0.283509i
\(53\) 0.429858 1.32297i 0.0590455 0.181723i −0.917183 0.398465i \(-0.869543\pi\)
0.976229 + 0.216742i \(0.0695430\pi\)
\(54\) −5.50722 −0.749437
\(55\) −3.31453 + 0.117729i −0.446932 + 0.0158746i
\(56\) −1.00000 −0.133631
\(57\) 0.194594 0.598898i 0.0257746 0.0793260i
\(58\) −7.47582 + 5.43150i −0.981623 + 0.713191i
\(59\) −7.52800 5.46941i −0.980062 0.712057i −0.0223394 0.999750i \(-0.507111\pi\)
−0.957722 + 0.287694i \(0.907111\pi\)
\(60\) −0.377620 1.16220i −0.0487506 0.150039i
\(61\) 4.17847 + 12.8600i 0.534999 + 1.64656i 0.743652 + 0.668567i \(0.233092\pi\)
−0.208653 + 0.977990i \(0.566908\pi\)
\(62\) −8.30265 6.03223i −1.05444 0.766094i
\(63\) −1.21895 + 0.885617i −0.153573 + 0.111577i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −3.47816 −0.431413
\(66\) 4.05038 0.143866i 0.498567 0.0177086i
\(67\) −1.84979 −0.225988 −0.112994 0.993596i \(-0.536044\pi\)
−0.112994 + 0.993596i \(0.536044\pi\)
\(68\) −0.0426835 + 0.131366i −0.00517613 + 0.0159305i
\(69\) −1.49330 + 1.08494i −0.179772 + 0.130612i
\(70\) −0.809017 0.587785i −0.0966960 0.0702538i
\(71\) −1.97528 6.07928i −0.234422 0.721478i −0.997198 0.0748139i \(-0.976164\pi\)
0.762775 0.646664i \(-0.223836\pi\)
\(72\) −0.465597 1.43296i −0.0548711 0.168876i
\(73\) 8.95170 + 6.50379i 1.04772 + 0.761211i 0.971777 0.235901i \(-0.0758042\pi\)
0.0759402 + 0.997112i \(0.475804\pi\)
\(74\) −1.34992 + 0.980774i −0.156925 + 0.114013i
\(75\) 0.377620 1.16220i 0.0436039 0.134199i
\(76\) 0.515316 0.0591108
\(77\) 2.61232 2.04348i 0.297701 0.232876i
\(78\) 4.25033 0.481256
\(79\) 3.08608 9.49797i 0.347211 1.06861i −0.613179 0.789944i \(-0.710109\pi\)
0.960390 0.278661i \(-0.0898906\pi\)
\(80\) 0.809017 0.587785i 0.0904508 0.0657164i
\(81\) 1.78772 + 1.29885i 0.198635 + 0.144317i
\(82\) −3.76593 11.5903i −0.415877 1.27994i
\(83\) 0.681184 + 2.09647i 0.0747696 + 0.230117i 0.981456 0.191689i \(-0.0613964\pi\)
−0.906686 + 0.421806i \(0.861396\pi\)
\(84\) 0.988623 + 0.718277i 0.107868 + 0.0783704i
\(85\) −0.111747 + 0.0811888i −0.0121206 + 0.00880616i
\(86\) −3.29598 + 10.1440i −0.355415 + 1.09385i
\(87\) 11.2921 1.21064
\(88\) 1.13621 + 3.11593i 0.121121 + 0.332159i
\(89\) 1.74164 0.184614 0.0923069 0.995731i \(-0.470576\pi\)
0.0923069 + 0.995731i \(0.470576\pi\)
\(90\) 0.465597 1.43296i 0.0490782 0.151047i
\(91\) 2.81389 2.04441i 0.294976 0.214313i
\(92\) −1.22201 0.887839i −0.127403 0.0925636i
\(93\) 3.87538 + 11.9272i 0.401859 + 1.23679i
\(94\) −0.558370 1.71848i −0.0575914 0.177248i
\(95\) 0.416899 + 0.302895i 0.0427730 + 0.0310764i
\(96\) −0.988623 + 0.718277i −0.100901 + 0.0733088i
\(97\) −1.36299 + 4.19486i −0.138391 + 0.425924i −0.996102 0.0882084i \(-0.971886\pi\)
0.857711 + 0.514132i \(0.171886\pi\)
\(98\) 1.00000 0.101015
\(99\) 4.14451 + 2.79190i 0.416539 + 0.280597i
\(100\) 1.00000 0.100000
\(101\) 3.88783 11.9655i 0.386853 1.19061i −0.548274 0.836299i \(-0.684715\pi\)
0.935127 0.354313i \(-0.115285\pi\)
\(102\) 0.136555 0.0992131i 0.0135210 0.00982356i
\(103\) 2.41468 + 1.75437i 0.237925 + 0.172863i 0.700358 0.713791i \(-0.253024\pi\)
−0.462433 + 0.886654i \(0.653024\pi\)
\(104\) 1.07481 + 3.30793i 0.105394 + 0.324369i
\(105\) 0.377620 + 1.16220i 0.0368520 + 0.113419i
\(106\) −1.12538 0.817638i −0.109307 0.0794160i
\(107\) −10.7419 + 7.80442i −1.03845 + 0.754481i −0.969983 0.243172i \(-0.921812\pi\)
−0.0684712 + 0.997653i \(0.521812\pi\)
\(108\) −1.70182 + 5.23767i −0.163758 + 0.503995i
\(109\) 0.502741 0.0481539 0.0240769 0.999710i \(-0.492335\pi\)
0.0240769 + 0.999710i \(0.492335\pi\)
\(110\) −0.912280 + 3.18869i −0.0869825 + 0.304030i
\(111\) 2.03903 0.193536
\(112\) −0.309017 + 0.951057i −0.0291994 + 0.0898664i
\(113\) 7.20993 5.23832i 0.678253 0.492780i −0.194525 0.980898i \(-0.562316\pi\)
0.872778 + 0.488118i \(0.162316\pi\)
\(114\) −0.509453 0.370139i −0.0477147 0.0346667i
\(115\) −0.466765 1.43655i −0.0435260 0.133959i
\(116\) 2.85551 + 8.78835i 0.265127 + 0.815978i
\(117\) 4.23970 + 3.08032i 0.391960 + 0.284776i
\(118\) −7.52800 + 5.46941i −0.693008 + 0.503500i
\(119\) 0.0426835 0.131366i 0.00391279 0.0120423i
\(120\) −1.22201 −0.111553
\(121\) −9.33549 5.81796i −0.848681 0.528905i
\(122\) 13.5218 1.22421
\(123\) −4.60198 + 14.1634i −0.414947 + 1.27707i
\(124\) −8.30265 + 6.03223i −0.745600 + 0.541710i
\(125\) 0.809017 + 0.587785i 0.0723607 + 0.0525731i
\(126\) 0.465597 + 1.43296i 0.0414786 + 0.127658i
\(127\) 3.91610 + 12.0525i 0.347497 + 1.06949i 0.960233 + 0.279199i \(0.0900689\pi\)
−0.612736 + 0.790288i \(0.709931\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) 10.5447 7.66116i 0.928407 0.674527i
\(130\) −1.07481 + 3.30793i −0.0942672 + 0.290125i
\(131\) 15.1497 1.32364 0.661818 0.749664i \(-0.269785\pi\)
0.661818 + 0.749664i \(0.269785\pi\)
\(132\) 1.11481 3.89660i 0.0970319 0.339155i
\(133\) −0.515316 −0.0446835
\(134\) −0.571617 + 1.75925i −0.0493802 + 0.151976i
\(135\) −4.45543 + 3.23706i −0.383462 + 0.278602i
\(136\) 0.111747 + 0.0811888i 0.00958220 + 0.00696188i
\(137\) 6.76301 + 20.8144i 0.577803 + 1.77829i 0.626431 + 0.779477i \(0.284515\pi\)
−0.0486282 + 0.998817i \(0.515485\pi\)
\(138\) 0.570389 + 1.75548i 0.0485547 + 0.149436i
\(139\) −2.00127 1.45400i −0.169745 0.123327i 0.499669 0.866216i \(-0.333455\pi\)
−0.669414 + 0.742889i \(0.733455\pi\)
\(140\) −0.809017 + 0.587785i −0.0683744 + 0.0496769i
\(141\) −0.682331 + 2.10000i −0.0574626 + 0.176852i
\(142\) −6.39213 −0.536416
\(143\) −9.56743 6.44500i −0.800069 0.538958i
\(144\) −1.50670 −0.125559
\(145\) −2.85551 + 8.78835i −0.237137 + 0.729833i
\(146\) 8.95170 6.50379i 0.740848 0.538258i
\(147\) −0.988623 0.718277i −0.0815403 0.0592425i
\(148\) 0.515623 + 1.58693i 0.0423840 + 0.130444i
\(149\) 5.28536 + 16.2667i 0.432993 + 1.33262i 0.895129 + 0.445807i \(0.147083\pi\)
−0.462136 + 0.886809i \(0.652917\pi\)
\(150\) −0.988623 0.718277i −0.0807208 0.0586471i
\(151\) −2.59914 + 1.88839i −0.211515 + 0.153675i −0.688499 0.725237i \(-0.741730\pi\)
0.476984 + 0.878912i \(0.341730\pi\)
\(152\) 0.159241 0.490094i 0.0129162 0.0397519i
\(153\) 0.208116 0.0168252
\(154\) −1.13621 3.11593i −0.0915588 0.251089i
\(155\) −10.2626 −0.824315
\(156\) 1.31343 4.04231i 0.105158 0.323644i
\(157\) −2.22337 + 1.61537i −0.177444 + 0.128921i −0.672962 0.739677i \(-0.734978\pi\)
0.495518 + 0.868598i \(0.334978\pi\)
\(158\) −8.07946 5.87007i −0.642767 0.466998i
\(159\) 0.525288 + 1.61667i 0.0416581 + 0.128210i
\(160\) −0.309017 0.951057i −0.0244299 0.0751876i
\(161\) 1.22201 + 0.887839i 0.0963075 + 0.0699715i
\(162\) 1.78772 1.29885i 0.140456 0.102048i
\(163\) −3.86892 + 11.9073i −0.303037 + 0.932653i 0.677365 + 0.735647i \(0.263122\pi\)
−0.980402 + 0.197006i \(0.936878\pi\)
\(164\) −12.1868 −0.951628
\(165\) 3.19226 2.49714i 0.248517 0.194402i
\(166\) 2.20436 0.171091
\(167\) 5.26365 16.1998i 0.407313 1.25358i −0.511635 0.859203i \(-0.670960\pi\)
0.918948 0.394378i \(-0.129040\pi\)
\(168\) 0.988623 0.718277i 0.0762739 0.0554163i
\(169\) 0.730047 + 0.530410i 0.0561575 + 0.0408008i
\(170\) 0.0426835 + 0.131366i 0.00327367 + 0.0100753i
\(171\) −0.239929 0.738426i −0.0183478 0.0564689i
\(172\) 8.62900 + 6.26933i 0.657955 + 0.478032i
\(173\) −7.59346 + 5.51697i −0.577320 + 0.419448i −0.837757 0.546043i \(-0.816133\pi\)
0.260437 + 0.965491i \(0.416133\pi\)
\(174\) 3.48945 10.7394i 0.264534 0.814153i
\(175\) −1.00000 −0.0755929
\(176\) 3.31453 0.117729i 0.249842 0.00887417i
\(177\) 11.3709 0.854690
\(178\) 0.538197 1.65640i 0.0403396 0.124153i
\(179\) 8.99896 6.53813i 0.672614 0.488683i −0.198285 0.980144i \(-0.563537\pi\)
0.870899 + 0.491462i \(0.163537\pi\)
\(180\) −1.21895 0.885617i −0.0908550 0.0660100i
\(181\) 2.95929 + 9.10776i 0.219962 + 0.676974i 0.998764 + 0.0497041i \(0.0158278\pi\)
−0.778802 + 0.627270i \(0.784172\pi\)
\(182\) −1.07481 3.30793i −0.0796703 0.245200i
\(183\) −13.3680 9.71241i −0.988190 0.717962i
\(184\) −1.22201 + 0.887839i −0.0900874 + 0.0654524i
\(185\) −0.515623 + 1.58693i −0.0379094 + 0.116673i
\(186\) 12.5410 0.919551
\(187\) −0.457825 + 0.0162615i −0.0334795 + 0.00118916i
\(188\) −1.80692 −0.131783
\(189\) 1.70182 5.23767i 0.123789 0.380985i
\(190\) 0.416899 0.302895i 0.0302450 0.0219743i
\(191\) −7.92756 5.75971i −0.573618 0.416758i 0.262800 0.964850i \(-0.415354\pi\)
−0.836418 + 0.548093i \(0.815354\pi\)
\(192\) 0.377620 + 1.16220i 0.0272524 + 0.0838743i
\(193\) 4.46568 + 13.7439i 0.321446 + 0.989310i 0.973019 + 0.230724i \(0.0741095\pi\)
−0.651573 + 0.758586i \(0.725891\pi\)
\(194\) 3.56836 + 2.59257i 0.256193 + 0.186135i
\(195\) 3.43859 2.49828i 0.246243 0.178906i
\(196\) 0.309017 0.951057i 0.0220726 0.0679326i
\(197\) 22.6950 1.61695 0.808476 0.588530i \(-0.200293\pi\)
0.808476 + 0.588530i \(0.200293\pi\)
\(198\) 3.93598 3.07892i 0.279718 0.218809i
\(199\) 9.43893 0.669108 0.334554 0.942377i \(-0.391414\pi\)
0.334554 + 0.942377i \(0.391414\pi\)
\(200\) 0.309017 0.951057i 0.0218508 0.0672499i
\(201\) 1.82875 1.32866i 0.128990 0.0937166i
\(202\) −10.1785 7.39509i −0.716154 0.520316i
\(203\) −2.85551 8.78835i −0.200417 0.616822i
\(204\) −0.0521594 0.160530i −0.00365189 0.0112394i
\(205\) −9.85932 7.16322i −0.688605 0.500301i
\(206\) 2.41468 1.75437i 0.168239 0.122232i
\(207\) −0.703275 + 2.16446i −0.0488810 + 0.150440i
\(208\) 3.47816 0.241167
\(209\) 0.585509 + 1.60569i 0.0405005 + 0.111068i
\(210\) 1.22201 0.0843264
\(211\) 3.44553 10.6042i 0.237200 0.730026i −0.759622 0.650365i \(-0.774616\pi\)
0.996822 0.0796614i \(-0.0253839\pi\)
\(212\) −1.12538 + 0.817638i −0.0772915 + 0.0561556i
\(213\) 6.31941 + 4.59132i 0.432999 + 0.314592i
\(214\) 4.10302 + 12.6278i 0.280477 + 0.863219i
\(215\) 3.29598 + 10.1440i 0.224784 + 0.691815i
\(216\) 4.45543 + 3.23706i 0.303154 + 0.220254i
\(217\) 8.30265 6.03223i 0.563621 0.409494i
\(218\) 0.155356 0.478135i 0.0105220 0.0323834i
\(219\) −13.5214 −0.913690
\(220\) 2.75071 + 1.85299i 0.185453 + 0.124929i
\(221\) −0.480427 −0.0323170
\(222\) 0.630095 1.93923i 0.0422892 0.130153i
\(223\) 3.21827 2.33821i 0.215511 0.156578i −0.474792 0.880098i \(-0.657477\pi\)
0.690304 + 0.723520i \(0.257477\pi\)
\(224\) 0.809017 + 0.587785i 0.0540547 + 0.0392731i
\(225\) −0.465597 1.43296i −0.0310398 0.0955306i
\(226\) −2.75395 8.47578i −0.183190 0.563800i
\(227\) −17.5838 12.7754i −1.16708 0.847930i −0.176419 0.984315i \(-0.556452\pi\)
−0.990656 + 0.136385i \(0.956452\pi\)
\(228\) −0.509453 + 0.370139i −0.0337394 + 0.0245131i
\(229\) 0.508698 1.56561i 0.0336157 0.103458i −0.932841 0.360289i \(-0.882678\pi\)
0.966457 + 0.256830i \(0.0826782\pi\)
\(230\) −1.51048 −0.0995982
\(231\) −1.11481 + 3.89660i −0.0733492 + 0.256377i
\(232\) 9.24062 0.606677
\(233\) −0.345016 + 1.06185i −0.0226028 + 0.0695642i −0.961722 0.274028i \(-0.911644\pi\)
0.939119 + 0.343592i \(0.111644\pi\)
\(234\) 4.23970 3.08032i 0.277158 0.201367i
\(235\) −1.46183 1.06208i −0.0953593 0.0692826i
\(236\) 2.87544 + 8.84969i 0.187175 + 0.576066i
\(237\) 3.77120 + 11.6066i 0.244966 + 0.753928i
\(238\) −0.111747 0.0811888i −0.00724347 0.00526269i
\(239\) −14.0055 + 10.1756i −0.905941 + 0.658205i −0.939985 0.341215i \(-0.889161\pi\)
0.0340437 + 0.999420i \(0.489161\pi\)
\(240\) −0.377620 + 1.16220i −0.0243753 + 0.0750195i
\(241\) −23.7524 −1.53003 −0.765015 0.644013i \(-0.777268\pi\)
−0.765015 + 0.644013i \(0.777268\pi\)
\(242\) −8.41803 + 7.08073i −0.541132 + 0.455167i
\(243\) 13.8213 0.886639
\(244\) 4.17847 12.8600i 0.267499 0.823278i
\(245\) 0.809017 0.587785i 0.0516862 0.0375522i
\(246\) 12.0481 + 8.75349i 0.768162 + 0.558102i
\(247\) 0.553867 + 1.70463i 0.0352417 + 0.108463i
\(248\) 3.17133 + 9.76035i 0.201380 + 0.619783i
\(249\) −2.17928 1.58334i −0.138106 0.100340i
\(250\) 0.809017 0.587785i 0.0511667 0.0371748i
\(251\) 3.74700 11.5321i 0.236508 0.727898i −0.760409 0.649444i \(-0.775002\pi\)
0.996918 0.0784540i \(-0.0249984\pi\)
\(252\) 1.50670 0.0949133
\(253\) 1.37798 4.81646i 0.0866331 0.302808i
\(254\) 12.6728 0.795159
\(255\) 0.0521594 0.160530i 0.00326635 0.0100528i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 23.1455 + 16.8162i 1.44378 + 1.04897i 0.987236 + 0.159264i \(0.0509122\pi\)
0.456542 + 0.889702i \(0.349088\pi\)
\(258\) −4.02771 12.3960i −0.250754 0.771742i
\(259\) −0.515623 1.58693i −0.0320393 0.0986068i
\(260\) 2.81389 + 2.04441i 0.174510 + 0.126789i
\(261\) 11.2638 8.18366i 0.697214 0.506556i
\(262\) 4.68152 14.4082i 0.289225 0.890144i
\(263\) −30.4738 −1.87910 −0.939549 0.342415i \(-0.888755\pi\)
−0.939549 + 0.342415i \(0.888755\pi\)
\(264\) −3.36139 2.26436i −0.206879 0.139362i
\(265\) −1.39105 −0.0854514
\(266\) −0.159241 + 0.490094i −0.00976371 + 0.0300496i
\(267\) −1.72183 + 1.25098i −0.105374 + 0.0765589i
\(268\) 1.49651 + 1.08728i 0.0914140 + 0.0664162i
\(269\) −9.59452 29.5289i −0.584988 1.80041i −0.599317 0.800512i \(-0.704561\pi\)
0.0143286 0.999897i \(-0.495439\pi\)
\(270\) 1.70182 + 5.23767i 0.103570 + 0.318755i
\(271\) −6.88439 5.00180i −0.418197 0.303838i 0.358715 0.933447i \(-0.383215\pi\)
−0.776912 + 0.629609i \(0.783215\pi\)
\(272\) 0.111747 0.0811888i 0.00677564 0.00492279i
\(273\) −1.31343 + 4.04231i −0.0794921 + 0.244652i
\(274\) 21.8856 1.32215
\(275\) 1.13621 + 3.11593i 0.0685163 + 0.187898i
\(276\) 1.84582 0.111105
\(277\) −4.52383 + 13.9229i −0.271811 + 0.836548i 0.718235 + 0.695801i \(0.244950\pi\)
−0.990046 + 0.140747i \(0.955050\pi\)
\(278\) −2.00127 + 1.45400i −0.120028 + 0.0872054i
\(279\) 12.5096 + 9.08877i 0.748932 + 0.544131i
\(280\) 0.309017 + 0.951057i 0.0184673 + 0.0568365i
\(281\) −2.75597 8.48200i −0.164407 0.505994i 0.834585 0.550880i \(-0.185708\pi\)
−0.998992 + 0.0448856i \(0.985708\pi\)
\(282\) 1.78637 + 1.29787i 0.106376 + 0.0772870i
\(283\) −15.9508 + 11.5889i −0.948176 + 0.688890i −0.950375 0.311107i \(-0.899300\pi\)
0.00219879 + 0.999998i \(0.499300\pi\)
\(284\) −1.97528 + 6.07928i −0.117211 + 0.360739i
\(285\) −0.629719 −0.0373013
\(286\) −9.08606 + 7.10755i −0.537270 + 0.420278i
\(287\) 12.1868 0.719363
\(288\) −0.465597 + 1.43296i −0.0274355 + 0.0844379i
\(289\) 13.7379 9.98113i 0.808109 0.587126i
\(290\) 7.47582 + 5.43150i 0.438995 + 0.318949i
\(291\) −1.66559 5.12614i −0.0976383 0.300500i
\(292\) −3.41925 10.5234i −0.200096 0.615833i
\(293\) −5.60545 4.07260i −0.327474 0.237924i 0.411884 0.911236i \(-0.364871\pi\)
−0.739358 + 0.673313i \(0.764871\pi\)
\(294\) −0.988623 + 0.718277i −0.0576577 + 0.0418908i
\(295\) −2.87544 + 8.84969i −0.167415 + 0.515249i
\(296\) 1.66859 0.0969850
\(297\) −18.2539 + 0.648360i −1.05920 + 0.0376217i
\(298\) 17.1038 0.990795
\(299\) 1.62348 4.99657i 0.0938884 0.288959i
\(300\) −0.988623 + 0.718277i −0.0570782 + 0.0414697i
\(301\) −8.62900 6.26933i −0.497367 0.361358i
\(302\) 0.992784 + 3.05548i 0.0571283 + 0.175823i
\(303\) 4.75095 + 14.6219i 0.272935 + 0.840007i
\(304\) −0.416899 0.302895i −0.0239108 0.0173722i
\(305\) 10.9394 7.94793i 0.626387 0.455097i
\(306\) 0.0643113 0.197930i 0.00367643 0.0113149i
\(307\) −20.6340 −1.17764 −0.588821 0.808263i \(-0.700408\pi\)
−0.588821 + 0.808263i \(0.700408\pi\)
\(308\) −3.31453 + 0.117729i −0.188863 + 0.00670824i
\(309\) −3.64733 −0.207489
\(310\) −3.17133 + 9.76035i −0.180119 + 0.554351i
\(311\) 16.3712 11.8944i 0.928327 0.674469i −0.0172555 0.999851i \(-0.505493\pi\)
0.945583 + 0.325382i \(0.105493\pi\)
\(312\) −3.43859 2.49828i −0.194672 0.141437i
\(313\) −1.36210 4.19211i −0.0769903 0.236952i 0.905153 0.425086i \(-0.139756\pi\)
−0.982143 + 0.188134i \(0.939756\pi\)
\(314\) 0.849253 + 2.61373i 0.0479261 + 0.147501i
\(315\) 1.21895 + 0.885617i 0.0686799 + 0.0498989i
\(316\) −8.07946 + 5.87007i −0.454505 + 0.330217i
\(317\) 8.03387 24.7257i 0.451227 1.38873i −0.424281 0.905531i \(-0.639473\pi\)
0.875508 0.483204i \(-0.160527\pi\)
\(318\) 1.69987 0.0953239
\(319\) −24.1394 + 18.8830i −1.35155 + 1.05725i
\(320\) −1.00000 −0.0559017
\(321\) 5.01392 15.4313i 0.279850 0.861289i
\(322\) 1.22201 0.887839i 0.0680997 0.0494773i
\(323\) 0.0575848 + 0.0418378i 0.00320411 + 0.00232792i
\(324\) −0.682848 2.10159i −0.0379360 0.116755i
\(325\) 1.07481 + 3.30793i 0.0596198 + 0.183491i
\(326\) 10.1290 + 7.35913i 0.560992 + 0.407584i
\(327\) −0.497022 + 0.361107i −0.0274854 + 0.0199693i
\(328\) −3.76593 + 11.5903i −0.207938 + 0.639969i
\(329\) 1.80692 0.0996188
\(330\) −1.38846 3.80768i −0.0764322 0.209606i
\(331\) −19.8219 −1.08951 −0.544755 0.838595i \(-0.683377\pi\)
−0.544755 + 0.838595i \(0.683377\pi\)
\(332\) 0.681184 2.09647i 0.0373848 0.115059i
\(333\) 2.03393 1.47773i 0.111459 0.0809793i
\(334\) −13.7804 10.0121i −0.754030 0.547835i
\(335\) 0.571617 + 1.75925i 0.0312308 + 0.0961184i
\(336\) −0.377620 1.16220i −0.0206009 0.0634030i
\(337\) −24.5812 17.8593i −1.33902 0.972856i −0.999479 0.0322645i \(-0.989728\pi\)
−0.339541 0.940591i \(-0.610272\pi\)
\(338\) 0.730047 0.530410i 0.0397093 0.0288505i
\(339\) −3.36534 + 10.3574i −0.182780 + 0.562539i
\(340\) 0.138127 0.00749096
\(341\) −28.2296 19.0166i −1.52872 1.02980i
\(342\) −0.776427 −0.0419844
\(343\) −0.309017 + 0.951057i −0.0166853 + 0.0513522i
\(344\) 8.62900 6.26933i 0.465244 0.338020i
\(345\) 1.49330 + 1.08494i 0.0803964 + 0.0584114i
\(346\) 2.90044 + 8.92665i 0.155929 + 0.479900i
\(347\) −5.14650 15.8393i −0.276279 0.850299i −0.988878 0.148727i \(-0.952482\pi\)
0.712599 0.701571i \(-0.247518\pi\)
\(348\) −9.13549 6.63733i −0.489714 0.355798i
\(349\) 1.37845 1.00151i 0.0737869 0.0536094i −0.550280 0.834980i \(-0.685479\pi\)
0.624067 + 0.781371i \(0.285479\pi\)
\(350\) −0.309017 + 0.951057i −0.0165177 + 0.0508361i
\(351\) −19.1550 −1.02242
\(352\) 0.912280 3.18869i 0.0486247 0.169958i
\(353\) 10.7417 0.571724 0.285862 0.958271i \(-0.407720\pi\)
0.285862 + 0.958271i \(0.407720\pi\)
\(354\) 3.51380 10.8144i 0.186757 0.574777i
\(355\) −5.17134 + 3.75720i −0.274466 + 0.199412i
\(356\) −1.40902 1.02371i −0.0746779 0.0542567i
\(357\) 0.0521594 + 0.160530i 0.00276057 + 0.00849616i
\(358\) −3.43730 10.5789i −0.181667 0.559113i
\(359\) 13.1711 + 9.56937i 0.695145 + 0.505052i 0.878347 0.478023i \(-0.158646\pi\)
−0.183203 + 0.983075i \(0.558646\pi\)
\(360\) −1.21895 + 0.885617i −0.0642442 + 0.0466761i
\(361\) −5.78926 + 17.8175i −0.304698 + 0.937764i
\(362\) 9.57646 0.503328
\(363\) 13.4082 0.953696i 0.703747 0.0500561i
\(364\) −3.47816 −0.182305
\(365\) 3.41925 10.5234i 0.178971 0.550818i
\(366\) −13.3680 + 9.71241i −0.698756 + 0.507676i
\(367\) 17.0660 + 12.3992i 0.890838 + 0.647231i 0.936096 0.351744i \(-0.114411\pi\)
−0.0452587 + 0.998975i \(0.514411\pi\)
\(368\) 0.466765 + 1.43655i 0.0243318 + 0.0748855i
\(369\) 5.67413 + 17.4632i 0.295383 + 0.909096i
\(370\) 1.34992 + 0.980774i 0.0701790 + 0.0509880i
\(371\) 1.12538 0.817638i 0.0584269 0.0424496i
\(372\) 3.87538 11.9272i 0.200929 0.618397i
\(373\) −13.9335 −0.721449 −0.360725 0.932672i \(-0.617471\pi\)
−0.360725 + 0.932672i \(0.617471\pi\)
\(374\) −0.126010 + 0.440443i −0.00651583 + 0.0227748i
\(375\) −1.22201 −0.0631041
\(376\) −0.558370 + 1.71848i −0.0287957 + 0.0886241i
\(377\) −26.0021 + 18.8916i −1.33918 + 0.972969i
\(378\) −4.45543 3.23706i −0.229163 0.166496i
\(379\) 6.84321 + 21.0612i 0.351512 + 1.08184i 0.958004 + 0.286754i \(0.0925761\pi\)
−0.606492 + 0.795089i \(0.707424\pi\)
\(380\) −0.159241 0.490094i −0.00816891 0.0251413i
\(381\) −12.5286 9.10255i −0.641859 0.466338i
\(382\) −7.92756 + 5.75971i −0.405609 + 0.294692i
\(383\) −6.95815 + 21.4150i −0.355545 + 1.09425i 0.600148 + 0.799889i \(0.295108\pi\)
−0.955693 + 0.294366i \(0.904892\pi\)
\(384\) 1.22201 0.0623602
\(385\) −2.75071 1.85299i −0.140189 0.0944371i
\(386\) 14.4512 0.735548
\(387\) 4.96607 15.2840i 0.252439 0.776928i
\(388\) 3.56836 2.59257i 0.181156 0.131618i
\(389\) 16.8553 + 12.2461i 0.854598 + 0.620902i 0.926410 0.376516i \(-0.122878\pi\)
−0.0718120 + 0.997418i \(0.522878\pi\)
\(390\) −1.31343 4.04231i −0.0665079 0.204690i
\(391\) −0.0644726 0.198426i −0.00326052 0.0100348i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) −14.9774 + 10.8817i −0.755508 + 0.548909i
\(394\) 7.01314 21.5842i 0.353317 1.08740i
\(395\) −9.98676 −0.502488
\(396\) −1.71194 4.69478i −0.0860281 0.235921i
\(397\) 19.0865 0.957924 0.478962 0.877836i \(-0.341013\pi\)
0.478962 + 0.877836i \(0.341013\pi\)
\(398\) 2.91679 8.97696i 0.146205 0.449974i
\(399\) 0.509453 0.370139i 0.0255046 0.0185301i
\(400\) −0.809017 0.587785i −0.0404508 0.0293893i
\(401\) 9.32906 + 28.7119i 0.465871 + 1.43380i 0.857884 + 0.513843i \(0.171779\pi\)
−0.392013 + 0.919960i \(0.628221\pi\)
\(402\) −0.698519 2.14982i −0.0348389 0.107223i
\(403\) −28.8780 20.9811i −1.43851 1.04514i
\(404\) −10.1785 + 7.39509i −0.506397 + 0.367919i
\(405\) 0.682848 2.10159i 0.0339310 0.104429i
\(406\) −9.24062 −0.458604
\(407\) −4.35889 + 3.40973i −0.216062 + 0.169014i
\(408\) −0.168791 −0.00835642
\(409\) −9.10310 + 28.0165i −0.450119 + 1.38532i 0.426652 + 0.904416i \(0.359693\pi\)
−0.876771 + 0.480908i \(0.840307\pi\)
\(410\) −9.85932 + 7.16322i −0.486917 + 0.353766i
\(411\) −21.6366 15.7199i −1.06725 0.775405i
\(412\) −0.922325 2.83862i −0.0454397 0.139849i
\(413\) −2.87544 8.84969i −0.141491 0.435465i
\(414\) 1.84120 + 1.33771i 0.0904900 + 0.0657448i
\(415\) 1.78336 1.29569i 0.0875418 0.0636028i
\(416\) 1.07481 3.30793i 0.0526970 0.162185i
\(417\) 3.02287 0.148031
\(418\) 1.70803 0.0606677i 0.0835426 0.00296735i
\(419\) −20.4867 −1.00084 −0.500419 0.865783i \(-0.666821\pi\)
−0.500419 + 0.865783i \(0.666821\pi\)
\(420\) 0.377620 1.16220i 0.0184260 0.0567094i
\(421\) 2.11398 1.53590i 0.103029 0.0748550i −0.535078 0.844803i \(-0.679718\pi\)
0.638107 + 0.769948i \(0.279718\pi\)
\(422\) −9.02051 6.55378i −0.439111 0.319033i
\(423\) 0.841297 + 2.58925i 0.0409053 + 0.125893i
\(424\) 0.429858 + 1.32297i 0.0208757 + 0.0642489i
\(425\) 0.111747 + 0.0811888i 0.00542051 + 0.00393823i
\(426\) 6.31941 4.59132i 0.306176 0.222450i
\(427\) −4.17847 + 12.8600i −0.202211 + 0.622340i
\(428\) 13.2777 0.641800
\(429\) 14.0879 0.500388i 0.680169 0.0241590i
\(430\) 10.6660 0.514361
\(431\) −3.05245 + 9.39449i −0.147031 + 0.452516i −0.997267 0.0738866i \(-0.976460\pi\)
0.850235 + 0.526403i \(0.176460\pi\)
\(432\) 4.45543 3.23706i 0.214362 0.155743i
\(433\) −15.7968 11.4770i −0.759146 0.551552i 0.139502 0.990222i \(-0.455450\pi\)
−0.898648 + 0.438670i \(0.855450\pi\)
\(434\) −3.17133 9.76035i −0.152229 0.468512i
\(435\) −3.48945 10.7394i −0.167306 0.514916i
\(436\) −0.406726 0.295504i −0.0194787 0.0141521i
\(437\) −0.629719 + 0.457517i −0.0301235 + 0.0218860i
\(438\) −4.17834 + 12.8596i −0.199649 + 0.614455i
\(439\) 3.38579 0.161595 0.0807974 0.996731i \(-0.474253\pi\)
0.0807974 + 0.996731i \(0.474253\pi\)
\(440\) 2.61232 2.04348i 0.124537 0.0974191i
\(441\) −1.50670 −0.0717477
\(442\) −0.148460 + 0.456913i −0.00706152 + 0.0217331i
\(443\) 15.6533 11.3728i 0.743710 0.540337i −0.150161 0.988662i \(-0.547979\pi\)
0.893871 + 0.448325i \(0.147979\pi\)
\(444\) −1.64961 1.19851i −0.0782870 0.0568788i
\(445\) −0.538197 1.65640i −0.0255130 0.0785210i
\(446\) −1.22927 3.78331i −0.0582076 0.179145i
\(447\) −16.9092 12.2852i −0.799777 0.581072i
\(448\) 0.809017 0.587785i 0.0382225 0.0277702i
\(449\) 10.2387 31.5114i 0.483194 1.48712i −0.351387 0.936230i \(-0.614290\pi\)
0.834580 0.550887i \(-0.185710\pi\)
\(450\) −1.50670 −0.0710266
\(451\) −13.8468 37.9732i −0.652021 1.78809i
\(452\) −8.91196 −0.419183
\(453\) 1.21319 3.73381i 0.0570005 0.175430i
\(454\) −17.5838 + 12.7754i −0.825247 + 0.599577i
\(455\) −2.81389 2.04441i −0.131917 0.0958435i
\(456\) 0.194594 + 0.598898i 0.00911269 + 0.0280460i
\(457\) −3.91974 12.0637i −0.183358 0.564317i 0.816559 0.577263i \(-0.195879\pi\)
−0.999916 + 0.0129459i \(0.995879\pi\)
\(458\) −1.33179 0.967601i −0.0622304 0.0452130i
\(459\) −0.615413 + 0.447124i −0.0287250 + 0.0208700i
\(460\) −0.466765 + 1.43655i −0.0217630 + 0.0669797i
\(461\) 19.4617 0.906421 0.453211 0.891403i \(-0.350279\pi\)
0.453211 + 0.891403i \(0.350279\pi\)
\(462\) 3.36139 + 2.26436i 0.156386 + 0.105348i
\(463\) 29.6401 1.37749 0.688746 0.725003i \(-0.258162\pi\)
0.688746 + 0.725003i \(0.258162\pi\)
\(464\) 2.85551 8.78835i 0.132564 0.407989i
\(465\) 10.1459 7.37142i 0.470504 0.341841i
\(466\) 0.903264 + 0.656260i 0.0418429 + 0.0304006i
\(467\) 8.28194 + 25.4892i 0.383242 + 1.17950i 0.937747 + 0.347318i \(0.112908\pi\)
−0.554505 + 0.832181i \(0.687092\pi\)
\(468\) −1.61942 4.98406i −0.0748577 0.230388i
\(469\) −1.49651 1.08728i −0.0691025 0.0502059i
\(470\) −1.46183 + 1.06208i −0.0674292 + 0.0489902i
\(471\) 1.03779 3.19399i 0.0478189 0.147172i
\(472\) 9.30512 0.428303
\(473\) −9.73041 + 34.0106i −0.447405 + 1.56381i
\(474\) 12.2039 0.560542
\(475\) 0.159241 0.490094i 0.00730649 0.0224871i
\(476\) −0.111747 + 0.0811888i −0.00512190 + 0.00372128i
\(477\) 1.69562 + 1.23194i 0.0776369 + 0.0564065i
\(478\) 5.34963 + 16.4645i 0.244686 + 0.753067i
\(479\) 4.12270 + 12.6884i 0.188371 + 0.579746i 0.999990 0.00444053i \(-0.00141347\pi\)
−0.811619 + 0.584187i \(0.801413\pi\)
\(480\) 0.988623 + 0.718277i 0.0451243 + 0.0327847i
\(481\) −4.69524 + 3.41129i −0.214084 + 0.155541i
\(482\) −7.33991 + 22.5899i −0.334324 + 1.02894i
\(483\) −1.84582 −0.0839876
\(484\) 4.13286 + 10.1941i 0.187857 + 0.463368i
\(485\) 4.41074 0.200281
\(486\) 4.27103 13.1449i 0.193738 0.596263i
\(487\) 10.8180 7.85972i 0.490209 0.356158i −0.315056 0.949073i \(-0.602023\pi\)
0.805265 + 0.592915i \(0.202023\pi\)
\(488\) −10.9394 7.94793i −0.495203 0.359786i
\(489\) −4.72784 14.5508i −0.213800 0.658010i
\(490\) −0.309017 0.951057i −0.0139600 0.0429644i
\(491\) −21.0112 15.2655i −0.948221 0.688923i 0.00216412 0.999998i \(-0.499311\pi\)
−0.950386 + 0.311074i \(0.899311\pi\)
\(492\) 12.0481 8.75349i 0.543172 0.394638i
\(493\) −0.394422 + 1.21391i −0.0177639 + 0.0546715i
\(494\) 1.79235 0.0806417
\(495\) 1.37454 4.80441i 0.0617808 0.215942i
\(496\) 10.2626 0.460806
\(497\) 1.97528 6.07928i 0.0886033 0.272693i
\(498\) −2.17928 + 1.58334i −0.0976558 + 0.0709511i
\(499\) 18.2729 + 13.2761i 0.818008 + 0.594318i 0.916141 0.400855i \(-0.131287\pi\)
−0.0981330 + 0.995173i \(0.531287\pi\)
\(500\) −0.309017 0.951057i −0.0138197 0.0425325i
\(501\) 6.43221 + 19.7963i 0.287370 + 0.884433i
\(502\) −9.80977 7.12721i −0.437831 0.318103i
\(503\) 23.2943 16.9243i 1.03864 0.754617i 0.0686215 0.997643i \(-0.478140\pi\)
0.970020 + 0.243026i \(0.0781399\pi\)
\(504\) 0.465597 1.43296i 0.0207393 0.0638291i
\(505\) −12.5813 −0.559859
\(506\) −4.15490 2.79891i −0.184708 0.124427i
\(507\) −1.10272 −0.0489737
\(508\) 3.91610 12.0525i 0.173749 0.534743i
\(509\) 19.3805 14.0808i 0.859027 0.624119i −0.0685933 0.997645i \(-0.521851\pi\)
0.927620 + 0.373525i \(0.121851\pi\)
\(510\) −0.136555 0.0992131i −0.00604676 0.00439323i
\(511\) 3.41925 + 10.5234i 0.151258 + 0.465526i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) 2.29595 + 1.66811i 0.101369 + 0.0736488i
\(514\) 23.1455 16.8162i 1.02091 0.741731i
\(515\) 0.922325 2.83862i 0.0406425 0.125085i
\(516\) −13.0339 −0.573787
\(517\) −2.05305 5.63024i −0.0902931 0.247618i
\(518\) −1.66859 −0.0733137
\(519\) 3.54436 10.9084i 0.155580 0.478826i
\(520\) 2.81389 2.04441i 0.123397 0.0896534i
\(521\) 12.7750 + 9.28156i 0.559682 + 0.406632i 0.831342 0.555761i \(-0.187573\pi\)
−0.271661 + 0.962393i \(0.587573\pi\)
\(522\) −4.30240 13.2414i −0.188311 0.579562i
\(523\) −6.85560 21.0994i −0.299775 0.922611i −0.981576 0.191074i \(-0.938803\pi\)
0.681801 0.731538i \(-0.261197\pi\)
\(524\) −12.2564 8.90478i −0.535422 0.389007i
\(525\) 0.988623 0.718277i 0.0431471 0.0313482i
\(526\) −9.41694 + 28.9823i −0.410598 + 1.26369i
\(527\) −1.41754 −0.0617492
\(528\) −3.19226 + 2.49714i −0.138925 + 0.108674i
\(529\) −20.7184 −0.900802
\(530\) −0.429858 + 1.32297i −0.0186718 + 0.0574660i
\(531\) 11.3425 8.24077i 0.492221 0.357619i
\(532\) 0.416899 + 0.302895i 0.0180749 + 0.0131322i
\(533\) −13.0985 40.3130i −0.567359 1.74615i
\(534\) 0.657680 + 2.02413i 0.0284606 + 0.0875928i
\(535\) 10.7419 + 7.80442i 0.464411 + 0.337414i
\(536\) 1.49651 1.08728i 0.0646395 0.0469633i
\(537\) −4.20040 + 12.9275i −0.181261 + 0.557863i
\(538\) −31.0485 −1.33860
\(539\) 3.31453 0.117729i 0.142767 0.00507096i
\(540\) 5.50722 0.236993
\(541\) −5.85618 + 18.0235i −0.251777 + 0.774890i 0.742671 + 0.669657i \(0.233559\pi\)
−0.994448 + 0.105233i \(0.966441\pi\)
\(542\) −6.88439 + 5.00180i −0.295710 + 0.214846i
\(543\) −9.46752 6.87855i −0.406290 0.295187i
\(544\) −0.0426835 0.131366i −0.00183004 0.00563228i
\(545\) −0.155356 0.478135i −0.00665470 0.0204811i
\(546\) 3.43859 + 2.49828i 0.147158 + 0.106917i
\(547\) 25.5696 18.5774i 1.09328 0.794311i 0.113326 0.993558i \(-0.463850\pi\)
0.979949 + 0.199247i \(0.0638495\pi\)
\(548\) 6.76301 20.8144i 0.288901 0.889147i
\(549\) −20.3734 −0.869514
\(550\) 3.31453 0.117729i 0.141332 0.00501999i
\(551\) 4.76184 0.202861
\(552\) 0.570389 1.75548i 0.0242774 0.0747180i
\(553\) 8.07946 5.87007i 0.343573 0.249621i
\(554\) 11.8435 + 8.60484i 0.503184 + 0.365585i
\(555\) −0.630095 1.93923i −0.0267460 0.0823158i
\(556\) 0.764415 + 2.35263i 0.0324184 + 0.0997737i
\(557\) 12.7326 + 9.25080i 0.539499 + 0.391969i 0.823899 0.566737i \(-0.191794\pi\)
−0.284400 + 0.958706i \(0.591794\pi\)
\(558\) 12.5096 9.08877i 0.529575 0.384758i
\(559\) −11.4640 + 35.2825i −0.484874 + 1.49229i
\(560\) 1.00000 0.0422577
\(561\) 0.440936 0.344922i 0.0186164 0.0145626i
\(562\) −8.91851 −0.376205
\(563\) 0.509741 1.56882i 0.0214830 0.0661180i −0.939740 0.341889i \(-0.888933\pi\)
0.961223 + 0.275771i \(0.0889332\pi\)
\(564\) 1.78637 1.29787i 0.0752195 0.0546502i
\(565\) −7.20993 5.23832i −0.303324 0.220378i
\(566\) 6.09266 + 18.7513i 0.256094 + 0.788175i
\(567\) 0.682848 + 2.10159i 0.0286769 + 0.0882584i
\(568\) 5.17134 + 3.75720i 0.216985 + 0.157649i
\(569\) 28.8548 20.9642i 1.20965 0.878866i 0.214455 0.976734i \(-0.431202\pi\)
0.995199 + 0.0978683i \(0.0312024\pi\)
\(570\) −0.194594 + 0.598898i −0.00815064 + 0.0250851i
\(571\) 29.5199 1.23537 0.617684 0.786427i \(-0.288071\pi\)
0.617684 + 0.786427i \(0.288071\pi\)
\(572\) 3.95194 + 10.8377i 0.165239 + 0.453147i
\(573\) 11.9744 0.500239
\(574\) 3.76593 11.5903i 0.157187 0.483771i
\(575\) −1.22201 + 0.887839i −0.0509612 + 0.0370254i
\(576\) 1.21895 + 0.885617i 0.0507895 + 0.0369007i
\(577\) −9.61674 29.5973i −0.400350 1.23215i −0.924716 0.380658i \(-0.875698\pi\)
0.524366 0.851493i \(-0.324302\pi\)
\(578\) −5.24739 16.1498i −0.218263 0.671744i
\(579\) −14.2868 10.3800i −0.593740 0.431377i
\(580\) 7.47582 5.43150i 0.310417 0.225531i
\(581\) −0.681184 + 2.09647i −0.0282603 + 0.0869761i
\(582\) −5.38995 −0.223420
\(583\) −3.82638 2.57760i −0.158472 0.106753i
\(584\) −11.0649 −0.457869
\(585\) 1.61942 4.98406i 0.0669548 0.206066i
\(586\) −5.60545 + 4.07260i −0.231559 + 0.168237i
\(587\) 29.5753 + 21.4877i 1.22070 + 0.886892i 0.996158 0.0875720i \(-0.0279108\pi\)
0.224544 + 0.974464i \(0.427911\pi\)
\(588\) 0.377620 + 1.16220i 0.0155728 + 0.0479282i
\(589\) 1.63424 + 5.02966i 0.0673375 + 0.207244i
\(590\) 7.52800 + 5.46941i 0.309923 + 0.225172i
\(591\) −22.4368 + 16.3013i −0.922926 + 0.670545i
\(592\) 0.515623 1.58693i 0.0211920 0.0652222i
\(593\) −4.49251 −0.184485 −0.0922427 0.995737i \(-0.529404\pi\)
−0.0922427 + 0.995737i \(0.529404\pi\)
\(594\) −5.02412 + 17.5608i −0.206142 + 0.720528i
\(595\) −0.138127 −0.00566264
\(596\) 5.28536 16.2667i 0.216497 0.666308i
\(597\) −9.33155 + 6.77977i −0.381915 + 0.277477i
\(598\) −4.25033 3.08805i −0.173809 0.126280i
\(599\) −1.55851 4.79659i −0.0636789 0.195983i 0.914155 0.405364i \(-0.132855\pi\)
−0.977834 + 0.209381i \(0.932855\pi\)
\(600\) 0.377620 + 1.16220i 0.0154163 + 0.0474465i
\(601\) 22.2692 + 16.1795i 0.908380 + 0.659977i 0.940605 0.339504i \(-0.110259\pi\)
−0.0322244 + 0.999481i \(0.510259\pi\)
\(602\) −8.62900 + 6.26933i −0.351692 + 0.255519i
\(603\) 0.861256 2.65067i 0.0350731 0.107944i
\(604\) 3.21272 0.130724
\(605\) −2.64838 + 10.6764i −0.107672 + 0.434058i
\(606\) 15.3744 0.624542
\(607\) −1.06342 + 3.27286i −0.0431627 + 0.132841i −0.970316 0.241842i \(-0.922248\pi\)
0.927153 + 0.374683i \(0.122248\pi\)
\(608\) −0.416899 + 0.302895i −0.0169075 + 0.0122840i
\(609\) 9.13549 + 6.63733i 0.370189 + 0.268958i
\(610\) −4.17847 12.8600i −0.169181 0.520687i
\(611\) −1.94210 5.97717i −0.0785690 0.241810i
\(612\) −0.168369 0.122327i −0.00680592 0.00494479i
\(613\) 8.99258 6.53349i 0.363207 0.263885i −0.391181 0.920314i \(-0.627934\pi\)
0.754389 + 0.656428i \(0.227934\pi\)
\(614\) −6.37624 + 19.6241i −0.257324 + 0.791963i
\(615\) 14.8923 0.600517
\(616\) −0.912280 + 3.18869i −0.0367568 + 0.128476i
\(617\) −10.7522 −0.432869 −0.216434 0.976297i \(-0.569443\pi\)
−0.216434 + 0.976297i \(0.569443\pi\)
\(618\) −1.12709 + 3.46881i −0.0453380 + 0.139536i
\(619\) −8.20266 + 5.95958i −0.329693 + 0.239536i −0.740300 0.672276i \(-0.765317\pi\)
0.410607 + 0.911812i \(0.365317\pi\)
\(620\) 8.30265 + 6.03223i 0.333442 + 0.242260i
\(621\) −2.57057 7.91141i −0.103154 0.317474i
\(622\) −6.25325 19.2455i −0.250733 0.771676i
\(623\) 1.40902 + 1.02371i 0.0564512 + 0.0410142i
\(624\) −3.43859 + 2.49828i −0.137654 + 0.100011i
\(625\) 0.309017 0.951057i 0.0123607 0.0380423i
\(626\) −4.40784 −0.176173
\(627\) −1.73218 1.16686i −0.0691765 0.0466000i
\(628\) 2.74824 0.109667
\(629\) −0.0712213 + 0.219197i −0.00283978 + 0.00873994i
\(630\) 1.21895 0.885617i 0.0485640 0.0352838i
\(631\) 2.10545 + 1.52970i 0.0838166 + 0.0608963i 0.628904 0.777483i \(-0.283504\pi\)
−0.545088 + 0.838379i \(0.683504\pi\)
\(632\) 3.08608 + 9.49797i 0.122758 + 0.377809i
\(633\) 4.21045 + 12.9584i 0.167350 + 0.515052i
\(634\) −21.0329 15.2813i −0.835325 0.606899i
\(635\) 10.2525 7.44886i 0.406857 0.295599i
\(636\) 0.525288 1.61667i 0.0208290 0.0641052i
\(637\) 3.47816 0.137810
\(638\) 10.4993 + 28.7931i 0.415672 + 1.13993i
\(639\) 9.63104 0.380998
\(640\) −0.309017 + 0.951057i −0.0122150 + 0.0375938i
\(641\) 9.86328 7.16609i 0.389576 0.283044i −0.375706 0.926739i \(-0.622600\pi\)
0.765282 + 0.643695i \(0.222600\pi\)
\(642\) −13.1266 9.53704i −0.518066 0.376397i
\(643\) −3.74244 11.5181i −0.147588 0.454228i 0.849747 0.527190i \(-0.176755\pi\)
−0.997335 + 0.0729628i \(0.976755\pi\)
\(644\) −0.466765 1.43655i −0.0183931 0.0566081i
\(645\) −10.5447 7.66116i −0.415196 0.301658i
\(646\) 0.0575848 0.0418378i 0.00226565 0.00164609i
\(647\) −1.52010 + 4.67839i −0.0597614 + 0.183927i −0.976481 0.215606i \(-0.930827\pi\)
0.916719 + 0.399532i \(0.130827\pi\)
\(648\) −2.20974 −0.0868068
\(649\) −24.3079 + 19.0148i −0.954169 + 0.746397i
\(650\) 3.47816 0.136425
\(651\) −3.87538 + 11.9272i −0.151888 + 0.467464i
\(652\) 10.1290 7.35913i 0.396681 0.288206i
\(653\) 10.7200 + 7.78852i 0.419505 + 0.304788i 0.777439 0.628959i \(-0.216519\pi\)
−0.357934 + 0.933747i \(0.616519\pi\)
\(654\) 0.189845 + 0.584284i 0.00742354 + 0.0228473i
\(655\) −4.68152 14.4082i −0.182922 0.562976i
\(656\) 9.85932 + 7.16322i 0.384942 + 0.279677i
\(657\) −13.4875 + 9.79928i −0.526199 + 0.382306i
\(658\) 0.558370 1.71848i 0.0217675 0.0669935i
\(659\) 30.5268 1.18916 0.594579 0.804038i \(-0.297319\pi\)
0.594579 + 0.804038i \(0.297319\pi\)
\(660\) −4.05038 + 0.143866i −0.157661 + 0.00559997i
\(661\) −2.30028 −0.0894707 −0.0447353 0.998999i \(-0.514244\pi\)
−0.0447353 + 0.998999i \(0.514244\pi\)
\(662\) −6.12530 + 18.8517i −0.238067 + 0.732694i
\(663\) 0.474961 0.345079i 0.0184460 0.0134018i
\(664\) −1.78336 1.29569i −0.0692079 0.0502824i
\(665\) 0.159241 + 0.490094i 0.00617511 + 0.0190050i
\(666\) −0.776891 2.39102i −0.0301039 0.0926503i
\(667\) −11.2921 8.20419i −0.437232 0.317667i
\(668\) −13.7804 + 10.0121i −0.533180 + 0.387378i
\(669\) −1.50218 + 4.62322i −0.0580775 + 0.178744i
\(670\) 1.84979 0.0714636
\(671\) 44.8186 1.59191i 1.73020 0.0614551i
\(672\) −1.22201 −0.0471399
\(673\) −7.72469 + 23.7742i −0.297765 + 0.916427i 0.684514 + 0.729000i \(0.260015\pi\)
−0.982279 + 0.187427i \(0.939985\pi\)
\(674\) −24.5812 + 17.8593i −0.946831 + 0.687913i
\(675\) 4.45543 + 3.23706i 0.171490 + 0.124594i
\(676\) −0.278853 0.858222i −0.0107251 0.0330085i
\(677\) 5.13075 + 15.7908i 0.197191 + 0.606891i 0.999944 + 0.0105797i \(0.00336768\pi\)
−0.802753 + 0.596312i \(0.796632\pi\)
\(678\) 8.81057 + 6.40126i 0.338368 + 0.245839i
\(679\) −3.56836 + 2.59257i −0.136941 + 0.0994936i
\(680\) 0.0426835 0.131366i 0.00163684 0.00503766i
\(681\) 26.5600 1.01778
\(682\) −26.8093 + 20.9715i −1.02658 + 0.803040i
\(683\) 13.6055 0.520598 0.260299 0.965528i \(-0.416179\pi\)
0.260299 + 0.965528i \(0.416179\pi\)
\(684\) −0.239929 + 0.738426i −0.00917392 + 0.0282344i
\(685\) 17.7058 12.8640i 0.676503 0.491508i
\(686\) 0.809017 + 0.587785i 0.0308884 + 0.0224417i
\(687\) 0.621631 + 1.91318i 0.0237167 + 0.0729926i
\(688\) −3.29598 10.1440i −0.125658 0.386736i
\(689\) −3.91426 2.84388i −0.149121 0.108343i
\(690\) 1.49330 1.08494i 0.0568489 0.0413031i
\(691\) −8.76691 + 26.9818i −0.333509 + 1.02644i 0.633943 + 0.773380i \(0.281436\pi\)
−0.967452 + 0.253056i \(0.918564\pi\)
\(692\) 9.38603 0.356803
\(693\) 1.71194 + 4.69478i 0.0650311 + 0.178340i
\(694\) −16.6544 −0.632194
\(695\) −0.764415 + 2.35263i −0.0289959 + 0.0892403i
\(696\) −9.13549 + 6.63733i −0.346280 + 0.251587i
\(697\) −1.36183 0.989430i −0.0515831 0.0374773i
\(698\) −0.526523 1.62047i −0.0199292 0.0613357i
\(699\) −0.421612 1.29759i −0.0159468 0.0490793i
\(700\) 0.809017 + 0.587785i 0.0305780 + 0.0222162i
\(701\) −17.6891 + 12.8519i −0.668107 + 0.485408i −0.869391 0.494125i \(-0.835489\pi\)
0.201284 + 0.979533i \(0.435489\pi\)
\(702\) −5.91922 + 18.2175i −0.223406 + 0.687574i
\(703\) 0.859852 0.0324299
\(704\) −2.75071 1.85299i −0.103671 0.0698372i
\(705\) 2.20807 0.0831607
\(706\) 3.31938 10.2160i 0.124926 0.384484i
\(707\) 10.1785 7.39509i 0.382800 0.278121i
\(708\) −9.19926 6.68365i −0.345729 0.251187i
\(709\) 11.6326 + 35.8014i 0.436871 + 1.34455i 0.891157 + 0.453694i \(0.149894\pi\)
−0.454287 + 0.890856i \(0.650106\pi\)
\(710\) 1.97528 + 6.07928i 0.0741308 + 0.228151i
\(711\) 12.1733 + 8.84445i 0.456536 + 0.331693i
\(712\) −1.40902 + 1.02371i −0.0528052 + 0.0383652i
\(713\) 4.79024 14.7428i 0.179396 0.552123i
\(714\) 0.168791 0.00631686
\(715\) −3.17306 + 11.0908i −0.118666 + 0.414772i
\(716\) −11.1233 −0.415698
\(717\) 6.53728 20.1197i 0.244139 0.751383i
\(718\) 13.1711 9.56937i 0.491542 0.357126i
\(719\) −7.21611 5.24281i −0.269115 0.195524i 0.445041 0.895510i \(-0.353189\pi\)
−0.714156 + 0.699987i \(0.753189\pi\)
\(720\) 0.465597 + 1.43296i 0.0173518 + 0.0534032i
\(721\) 0.922325 + 2.83862i 0.0343492 + 0.105716i
\(722\) 15.1565 + 11.0118i 0.564066 + 0.409818i
\(723\) 23.4822 17.0608i 0.873313 0.634499i
\(724\) 2.95929 9.10776i 0.109981 0.338487i
\(725\) 9.24062 0.343188
\(726\) 3.23634 13.0467i 0.120112 0.484207i
\(727\) −21.9240 −0.813116 −0.406558 0.913625i \(-0.633271\pi\)
−0.406558 + 0.913625i \(0.633271\pi\)
\(728\) −1.07481 + 3.30793i −0.0398352 + 0.122600i
\(729\) −19.0272 + 13.8241i −0.704713 + 0.512004i
\(730\) −8.95170 6.50379i −0.331317 0.240716i
\(731\) 0.455263 + 1.40115i 0.0168385 + 0.0518236i
\(732\) 5.10612 + 15.7150i 0.188728 + 0.580844i
\(733\) 24.2387 + 17.6104i 0.895275 + 0.650455i 0.937248 0.348663i \(-0.113364\pi\)
−0.0419730 + 0.999119i \(0.513364\pi\)
\(734\) 17.0660 12.3992i 0.629917 0.457662i
\(735\) −0.377620 + 1.16220i −0.0139287 + 0.0428683i
\(736\) 1.51048 0.0556771
\(737\) −1.68753 + 5.89841i −0.0621609 + 0.217271i
\(738\) 18.3619 0.675910
\(739\) 7.75724 23.8743i 0.285355 0.878232i −0.700937 0.713223i \(-0.747235\pi\)
0.986292 0.165009i \(-0.0527653\pi\)
\(740\) 1.34992 0.980774i 0.0496240 0.0360540i
\(741\) −1.77196 1.28740i −0.0650946 0.0472940i
\(742\) −0.429858 1.32297i −0.0157806 0.0485676i
\(743\) −11.3931 35.0644i −0.417973 1.28639i −0.909565 0.415562i \(-0.863585\pi\)
0.491592 0.870826i \(-0.336415\pi\)
\(744\) −10.1459 7.37142i −0.371966 0.270249i
\(745\) 13.8372 10.0533i 0.506958 0.368326i
\(746\) −4.30569 + 13.2515i −0.157642 + 0.485174i
\(747\) −3.32131 −0.121520
\(748\) 0.379947 + 0.255947i 0.0138922 + 0.00935835i
\(749\) −13.2777 −0.485155
\(750\) −0.377620 + 1.16220i −0.0137888 + 0.0424374i
\(751\) −24.6125 + 17.8820i −0.898123 + 0.652524i −0.937983 0.346681i \(-0.887309\pi\)
0.0398605 + 0.999205i \(0.487309\pi\)
\(752\) 1.46183 + 1.06208i 0.0533075 + 0.0387301i
\(753\) 4.57885 + 14.0923i 0.166863 + 0.513551i
\(754\) 9.93192 + 30.5673i 0.361699 + 1.11320i
\(755\) 2.59914 + 1.88839i 0.0945925 + 0.0687255i
\(756\) −4.45543 + 3.23706i −0.162042 + 0.117731i
\(757\) −3.72056 + 11.4507i −0.135226 + 0.416183i −0.995625 0.0934377i \(-0.970214\pi\)
0.860399 + 0.509621i \(0.170214\pi\)
\(758\) 22.1451 0.804346
\(759\) 2.09724 + 5.75144i 0.0761252 + 0.208764i
\(760\) −0.515316 −0.0186925
\(761\) −3.53615 + 10.8832i −0.128185 + 0.394514i −0.994468 0.105040i \(-0.966503\pi\)
0.866283 + 0.499554i \(0.166503\pi\)
\(762\) −12.5286 + 9.10255i −0.453863 + 0.329750i
\(763\) 0.406726 + 0.295504i 0.0147245 + 0.0106980i
\(764\) 3.02806 + 9.31940i 0.109551 + 0.337164i
\(765\) −0.0643113 0.197930i −0.00232518 0.00715616i
\(766\) 18.2167 + 13.2352i 0.658195 + 0.478207i
\(767\) −26.1836 + 19.0235i −0.945435 + 0.686899i
\(768\) 0.377620 1.16220i 0.0136262 0.0419371i
\(769\) 3.36501 0.121346 0.0606728 0.998158i \(-0.480675\pi\)
0.0606728 + 0.998158i \(0.480675\pi\)
\(770\) −2.61232 + 2.04348i −0.0941413 + 0.0736419i
\(771\) −34.9609 −1.25909
\(772\) 4.46568 13.7439i 0.160723 0.494655i
\(773\) 2.58819 1.88043i 0.0930908 0.0676344i −0.540266 0.841494i \(-0.681676\pi\)
0.633357 + 0.773860i \(0.281676\pi\)
\(774\) −13.0013