Properties

Label 637.2.bl.a.53.24
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.24
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.24

$q$-expansion

\(f(q)\) \(=\) \(q+(1.73040 + 1.17977i) q^{2} +(-0.623413 - 0.578442i) q^{3} +(0.871761 + 2.22121i) q^{4} +(3.60339 - 1.11150i) q^{5} +(-0.396327 - 1.73642i) q^{6} +(-2.15272 - 1.53811i) q^{7} +(-0.179960 + 0.788456i) q^{8} +(-0.170143 - 2.27039i) q^{9} +O(q^{10})\) \(q+(1.73040 + 1.17977i) q^{2} +(-0.623413 - 0.578442i) q^{3} +(0.871761 + 2.22121i) q^{4} +(3.60339 - 1.11150i) q^{5} +(-0.396327 - 1.73642i) q^{6} +(-2.15272 - 1.53811i) q^{7} +(-0.179960 + 0.788456i) q^{8} +(-0.170143 - 2.27039i) q^{9} +(7.54663 + 2.32783i) q^{10} +(-0.324474 + 4.32981i) q^{11} +(0.741375 - 1.88899i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-1.91046 - 5.20127i) q^{14} +(-2.88933 - 1.39143i) q^{15} +(2.25675 - 2.09396i) q^{16} +(4.97454 - 0.749792i) q^{17} +(2.38413 - 4.12943i) q^{18} +(-0.0277917 - 0.0481367i) q^{19} +(5.61016 + 7.03492i) q^{20} +(0.452326 + 2.20410i) q^{21} +(-5.66965 + 7.10952i) q^{22} +(-5.21097 - 0.785427i) q^{23} +(0.568266 - 0.387437i) q^{24} +(7.61778 - 5.19371i) q^{25} +(2.07092 + 0.312141i) q^{26} +(-2.79794 + 3.50850i) q^{27} +(1.53981 - 6.12251i) q^{28} +(0.928954 + 1.16487i) q^{29} +(-3.35815 - 5.81649i) q^{30} +(-4.14033 + 7.17127i) q^{31} +(7.97488 - 1.20202i) q^{32} +(2.70683 - 2.51157i) q^{33} +(9.49256 + 4.57137i) q^{34} +(-9.46670 - 3.14966i) q^{35} +(4.89470 - 2.35716i) q^{36} +(-2.30100 + 5.86286i) q^{37} +(0.00869927 - 0.116084i) q^{38} +(-0.812652 - 0.250670i) q^{39} +(0.227902 + 3.04114i) q^{40} +(-0.0523555 + 0.229384i) q^{41} +(-1.81763 + 4.34763i) q^{42} +(-1.73287 - 7.59219i) q^{43} +(-9.90028 + 3.05383i) q^{44} +(-3.13663 - 7.99200i) q^{45} +(-8.09046 - 7.50685i) q^{46} +(5.90380 + 4.02514i) q^{47} -2.61812 q^{48} +(2.26843 + 6.62225i) q^{49} +19.3092 q^{50} +(-3.53490 - 2.41006i) q^{51} +(1.74918 + 1.62300i) q^{52} +(-0.819254 - 2.08742i) q^{53} +(-8.98078 + 2.77020i) q^{54} +(3.64337 + 15.9626i) q^{55} +(1.60014 - 1.42053i) q^{56} +(-0.0105186 + 0.0460849i) q^{57} +(0.233186 + 3.11165i) q^{58} +(-2.02006 - 0.623105i) q^{59} +(0.571850 - 7.63081i) q^{60} +(-5.27791 + 13.4479i) q^{61} +(-15.6249 + 7.52455i) q^{62} +(-3.12585 + 5.14923i) q^{63} +(9.67049 + 4.65706i) q^{64} +(2.76428 - 2.56488i) q^{65} +(7.64698 - 1.15260i) q^{66} +(1.79800 - 3.11423i) q^{67} +(6.00206 + 10.3959i) q^{68} +(2.79426 + 3.50389i) q^{69} +(-12.6653 - 16.6187i) q^{70} +(-5.70107 + 7.14891i) q^{71} +(1.82073 + 0.274430i) q^{72} +(-10.9284 + 7.45084i) q^{73} +(-10.8985 + 7.43047i) q^{74} +(-7.75328 - 1.16862i) q^{75} +(0.0826939 - 0.103695i) q^{76} +(7.35823 - 8.82180i) q^{77} +(-1.11048 - 1.39250i) q^{78} +(-5.44503 - 9.43107i) q^{79} +(5.80452 - 10.0537i) q^{80} +(-2.98026 + 0.449202i) q^{81} +(-0.361217 + 0.335160i) q^{82} +(13.0849 + 6.30138i) q^{83} +(-4.50146 + 2.92616i) q^{84} +(17.0918 - 8.23098i) q^{85} +(5.95848 - 15.1819i) q^{86} +(0.0946894 - 1.26354i) q^{87} +(-3.35547 - 1.03503i) q^{88} +(-1.04224 - 13.9077i) q^{89} +(4.00108 - 17.5299i) q^{90} +(-2.60690 - 0.451759i) q^{91} +(-2.79812 - 12.2594i) q^{92} +(6.72930 - 2.07571i) q^{93} +(5.46722 + 13.9302i) q^{94} +(-0.153648 - 0.142565i) q^{95} +(-5.66694 - 3.86366i) q^{96} -15.3829 q^{97} +(-3.88744 + 14.1354i) q^{98} +9.88559 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.73040 + 1.17977i 1.22358 + 0.834223i 0.990403 0.138211i \(-0.0441352\pi\)
0.233178 + 0.972434i \(0.425088\pi\)
\(3\) −0.623413 0.578442i −0.359927 0.333964i 0.479394 0.877600i \(-0.340857\pi\)
−0.839321 + 0.543636i \(0.817047\pi\)
\(4\) 0.871761 + 2.22121i 0.435880 + 1.11061i
\(5\) 3.60339 1.11150i 1.61148 0.497077i 0.647283 0.762250i \(-0.275905\pi\)
0.964201 + 0.265173i \(0.0854291\pi\)
\(6\) −0.396327 1.73642i −0.161800 0.708891i
\(7\) −2.15272 1.53811i −0.813653 0.581351i
\(8\) −0.179960 + 0.788456i −0.0636255 + 0.278761i
\(9\) −0.170143 2.27039i −0.0567142 0.756798i
\(10\) 7.54663 + 2.32783i 2.38645 + 0.736123i
\(11\) −0.324474 + 4.32981i −0.0978327 + 1.30549i 0.704968 + 0.709239i \(0.250961\pi\)
−0.802801 + 0.596248i \(0.796658\pi\)
\(12\) 0.741375 1.88899i 0.214017 0.545305i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −1.91046 5.20127i −0.510593 1.39010i
\(15\) −2.88933 1.39143i −0.746023 0.359266i
\(16\) 2.25675 2.09396i 0.564188 0.523490i
\(17\) 4.97454 0.749792i 1.20650 0.181851i 0.485158 0.874426i \(-0.338762\pi\)
0.721346 + 0.692575i \(0.243524\pi\)
\(18\) 2.38413 4.12943i 0.561944 0.973316i
\(19\) −0.0277917 0.0481367i −0.00637586 0.0110433i 0.862820 0.505511i \(-0.168696\pi\)
−0.869196 + 0.494468i \(0.835363\pi\)
\(20\) 5.61016 + 7.03492i 1.25447 + 1.57306i
\(21\) 0.452326 + 2.20410i 0.0987056 + 0.480975i
\(22\) −5.66965 + 7.10952i −1.20877 + 1.51575i
\(23\) −5.21097 0.785427i −1.08656 0.163773i −0.418749 0.908102i \(-0.637531\pi\)
−0.667813 + 0.744329i \(0.732769\pi\)
\(24\) 0.568266 0.387437i 0.115997 0.0790853i
\(25\) 7.61778 5.19371i 1.52356 1.03874i
\(26\) 2.07092 + 0.312141i 0.406142 + 0.0612160i
\(27\) −2.79794 + 3.50850i −0.538463 + 0.675211i
\(28\) 1.53981 6.12251i 0.290997 1.15705i
\(29\) 0.928954 + 1.16487i 0.172502 + 0.216311i 0.860566 0.509340i \(-0.170110\pi\)
−0.688063 + 0.725651i \(0.741539\pi\)
\(30\) −3.35815 5.81649i −0.613111 1.06194i
\(31\) −4.14033 + 7.17127i −0.743626 + 1.28800i 0.207208 + 0.978297i \(0.433562\pi\)
−0.950834 + 0.309701i \(0.899771\pi\)
\(32\) 7.97488 1.20202i 1.40977 0.212489i
\(33\) 2.70683 2.51157i 0.471198 0.437208i
\(34\) 9.49256 + 4.57137i 1.62796 + 0.783984i
\(35\) −9.46670 3.14966i −1.60016 0.532390i
\(36\) 4.89470 2.35716i 0.815783 0.392861i
\(37\) −2.30100 + 5.86286i −0.378283 + 0.963849i 0.607272 + 0.794494i \(0.292264\pi\)
−0.985555 + 0.169355i \(0.945832\pi\)
\(38\) 0.00869927 0.116084i 0.00141121 0.0188313i
\(39\) −0.812652 0.250670i −0.130128 0.0401393i
\(40\) 0.227902 + 3.04114i 0.0360344 + 0.480846i
\(41\) −0.0523555 + 0.229384i −0.00817655 + 0.0358238i −0.978852 0.204571i \(-0.934420\pi\)
0.970675 + 0.240395i \(0.0772771\pi\)
\(42\) −1.81763 + 4.34763i −0.280466 + 0.670854i
\(43\) −1.73287 7.59219i −0.264260 1.15780i −0.916579 0.399854i \(-0.869061\pi\)
0.652319 0.757945i \(-0.273796\pi\)
\(44\) −9.90028 + 3.05383i −1.49252 + 0.460383i
\(45\) −3.13663 7.99200i −0.467581 1.19138i
\(46\) −8.09046 7.50685i −1.19287 1.10683i
\(47\) 5.90380 + 4.02514i 0.861157 + 0.587127i 0.911359 0.411612i \(-0.135034\pi\)
−0.0502019 + 0.998739i \(0.515986\pi\)
\(48\) −2.61812 −0.377893
\(49\) 2.26843 + 6.62225i 0.324061 + 0.946036i
\(50\) 19.3092 2.73074
\(51\) −3.53490 2.41006i −0.494986 0.337476i
\(52\) 1.74918 + 1.62300i 0.242567 + 0.225069i
\(53\) −0.819254 2.08742i −0.112533 0.286730i 0.863501 0.504347i \(-0.168267\pi\)
−0.976034 + 0.217617i \(0.930172\pi\)
\(54\) −8.98078 + 2.77020i −1.22213 + 0.376977i
\(55\) 3.64337 + 15.9626i 0.491272 + 2.15240i
\(56\) 1.60014 1.42053i 0.213827 0.189826i
\(57\) −0.0105186 + 0.0460849i −0.00139322 + 0.00610409i
\(58\) 0.233186 + 3.11165i 0.0306188 + 0.408580i
\(59\) −2.02006 0.623105i −0.262989 0.0811214i 0.160457 0.987043i \(-0.448703\pi\)
−0.423446 + 0.905922i \(0.639180\pi\)
\(60\) 0.571850 7.63081i 0.0738256 0.985134i
\(61\) −5.27791 + 13.4479i −0.675767 + 1.72183i 0.0161692 + 0.999869i \(0.494853\pi\)
−0.691937 + 0.721958i \(0.743242\pi\)
\(62\) −15.6249 + 7.52455i −1.98436 + 0.955619i
\(63\) −3.12585 + 5.14923i −0.393820 + 0.648742i
\(64\) 9.67049 + 4.65706i 1.20881 + 0.582133i
\(65\) 2.76428 2.56488i 0.342867 0.318134i
\(66\) 7.64698 1.15260i 0.941278 0.141875i
\(67\) 1.79800 3.11423i 0.219661 0.380464i −0.735043 0.678020i \(-0.762838\pi\)
0.954704 + 0.297556i \(0.0961716\pi\)
\(68\) 6.00206 + 10.3959i 0.727856 + 1.26068i
\(69\) 2.79426 + 3.50389i 0.336389 + 0.421819i
\(70\) −12.6653 16.6187i −1.51380 1.98632i
\(71\) −5.70107 + 7.14891i −0.676592 + 0.848420i −0.995035 0.0995220i \(-0.968269\pi\)
0.318443 + 0.947942i \(0.396840\pi\)
\(72\) 1.82073 + 0.274430i 0.214575 + 0.0323419i
\(73\) −10.9284 + 7.45084i −1.27907 + 0.872055i −0.996199 0.0871032i \(-0.972239\pi\)
−0.282870 + 0.959158i \(0.591287\pi\)
\(74\) −10.8985 + 7.43047i −1.26692 + 0.863774i
\(75\) −7.75328 1.16862i −0.895272 0.134941i
\(76\) 0.0826939 0.103695i 0.00948564 0.0118946i
\(77\) 7.35823 8.82180i 0.838548 1.00534i
\(78\) −1.11048 1.39250i −0.125738 0.157670i
\(79\) −5.44503 9.43107i −0.612614 1.06108i −0.990798 0.135348i \(-0.956785\pi\)
0.378184 0.925730i \(-0.376549\pi\)
\(80\) 5.80452 10.0537i 0.648965 1.12404i
\(81\) −2.98026 + 0.449202i −0.331140 + 0.0499114i
\(82\) −0.361217 + 0.335160i −0.0398897 + 0.0370123i
\(83\) 13.0849 + 6.30138i 1.43626 + 0.691666i 0.980150 0.198258i \(-0.0635284\pi\)
0.456109 + 0.889924i \(0.349243\pi\)
\(84\) −4.50146 + 2.92616i −0.491149 + 0.319270i
\(85\) 17.0918 8.23098i 1.85387 0.892776i
\(86\) 5.95848 15.1819i 0.642519 1.63711i
\(87\) 0.0946894 1.26354i 0.0101518 0.135466i
\(88\) −3.35547 1.03503i −0.357695 0.110334i
\(89\) −1.04224 13.9077i −0.110477 1.47422i −0.726868 0.686777i \(-0.759025\pi\)
0.616391 0.787440i \(-0.288594\pi\)
\(90\) 4.00108 17.5299i 0.421751 1.84781i
\(91\) −2.60690 0.451759i −0.273277 0.0473572i
\(92\) −2.79812 12.2594i −0.291724 1.27813i
\(93\) 6.72930 2.07571i 0.697796 0.215242i
\(94\) 5.46722 + 13.9302i 0.563900 + 1.43679i
\(95\) −0.153648 0.142565i −0.0157640 0.0146268i
\(96\) −5.66694 3.86366i −0.578380 0.394333i
\(97\) −15.3829 −1.56190 −0.780950 0.624594i \(-0.785265\pi\)
−0.780950 + 0.624594i \(0.785265\pi\)
\(98\) −3.88744 + 14.1354i −0.392690 + 1.42789i
\(99\) 9.88559 0.993539
\(100\) 18.1772 + 12.3930i 1.81772 + 1.23930i
\(101\) −2.65207 2.46076i −0.263891 0.244855i 0.537118 0.843507i \(-0.319513\pi\)
−0.801009 + 0.598652i \(0.795703\pi\)
\(102\) −3.27350 8.34075i −0.324125 0.825857i
\(103\) 10.0146 3.08909i 0.986766 0.304377i 0.240956 0.970536i \(-0.422539\pi\)
0.745810 + 0.666159i \(0.232063\pi\)
\(104\) 0.179960 + 0.788456i 0.0176465 + 0.0773145i
\(105\) 4.07976 + 7.43948i 0.398144 + 0.726019i
\(106\) 1.04504 4.57862i 0.101503 0.444715i
\(107\) −1.53423 20.4728i −0.148319 1.97918i −0.197138 0.980376i \(-0.563165\pi\)
0.0488188 0.998808i \(-0.484454\pi\)
\(108\) −10.2322 3.15623i −0.984598 0.303708i
\(109\) −0.321894 + 4.29538i −0.0308319 + 0.411423i 0.960339 + 0.278834i \(0.0899479\pi\)
−0.991171 + 0.132589i \(0.957671\pi\)
\(110\) −12.5277 + 31.9201i −1.19447 + 3.04347i
\(111\) 4.82580 2.32398i 0.458045 0.220583i
\(112\) −8.07890 + 1.03658i −0.763385 + 0.0979475i
\(113\) 2.44498 + 1.17744i 0.230004 + 0.110764i 0.545337 0.838217i \(-0.316402\pi\)
−0.315333 + 0.948981i \(0.602116\pi\)
\(114\) −0.0725710 + 0.0673360i −0.00679689 + 0.00630660i
\(115\) −19.6501 + 2.96178i −1.83239 + 0.276188i
\(116\) −1.77760 + 3.07889i −0.165046 + 0.285868i
\(117\) −1.13838 1.97173i −0.105243 0.182287i
\(118\) −2.76040 3.46143i −0.254115 0.318650i
\(119\) −11.8621 6.03731i −1.08739 0.553439i
\(120\) 1.61705 2.02771i 0.147615 0.185104i
\(121\) −7.76483 1.17036i −0.705894 0.106396i
\(122\) −24.9984 + 17.0436i −2.26324 + 1.54305i
\(123\) 0.165325 0.112716i 0.0149068 0.0101633i
\(124\) −19.5383 2.94492i −1.75459 0.264462i
\(125\) 9.92135 12.4410i 0.887393 1.11276i
\(126\) −11.4839 + 5.22246i −1.02307 + 0.465254i
\(127\) 8.46157 + 10.6105i 0.750843 + 0.941527i 0.999635 0.0270302i \(-0.00860502\pi\)
−0.248792 + 0.968557i \(0.580034\pi\)
\(128\) 3.17463 + 5.49863i 0.280601 + 0.486015i
\(129\) −3.31135 + 5.73543i −0.291548 + 0.504977i
\(130\) 7.80928 1.17706i 0.684919 0.103235i
\(131\) 5.90596 5.47993i 0.516006 0.478783i −0.378650 0.925540i \(-0.623612\pi\)
0.894655 + 0.446757i \(0.147421\pi\)
\(132\) 7.93843 + 3.82294i 0.690951 + 0.332745i
\(133\) −0.0142117 + 0.146372i −0.00123231 + 0.0126920i
\(134\) 6.78534 3.26765i 0.586164 0.282282i
\(135\) −6.18235 + 15.7524i −0.532092 + 1.35575i
\(136\) −0.304041 + 4.05714i −0.0260713 + 0.347897i
\(137\) −8.98704 2.77213i −0.767814 0.236839i −0.113986 0.993482i \(-0.536362\pi\)
−0.653828 + 0.756643i \(0.726838\pi\)
\(138\) 0.701415 + 9.35973i 0.0597084 + 0.796753i
\(139\) −0.521300 + 2.28396i −0.0442161 + 0.193723i −0.992212 0.124558i \(-0.960249\pi\)
0.947996 + 0.318282i \(0.103106\pi\)
\(140\) −1.25663 23.7733i −0.106205 2.00921i
\(141\) −1.35219 5.92433i −0.113875 0.498919i
\(142\) −18.2992 + 5.64456i −1.53564 + 0.473681i
\(143\) 1.58629 + 4.04181i 0.132652 + 0.337993i
\(144\) −5.13809 4.76745i −0.428174 0.397287i
\(145\) 4.64213 + 3.16495i 0.385508 + 0.262835i
\(146\) −27.7008 −2.29253
\(147\) 2.41642 5.44055i 0.199303 0.448729i
\(148\) −15.0286 −1.23534
\(149\) −16.0262 10.9265i −1.31292 0.895134i −0.314388 0.949295i \(-0.601799\pi\)
−0.998532 + 0.0541611i \(0.982752\pi\)
\(150\) −12.0376 11.1693i −0.982867 0.911967i
\(151\) −0.441405 1.12468i −0.0359210 0.0915252i 0.911788 0.410662i \(-0.134702\pi\)
−0.947709 + 0.319137i \(0.896607\pi\)
\(152\) 0.0429551 0.0132499i 0.00348411 0.00107471i
\(153\) −2.54871 11.1666i −0.206051 0.902767i
\(154\) 23.1404 6.58426i 1.86471 0.530575i
\(155\) −6.94838 + 30.4428i −0.558107 + 2.44523i
\(156\) −0.151647 2.02360i −0.0121415 0.162017i
\(157\) 0.966650 + 0.298172i 0.0771470 + 0.0237967i 0.333088 0.942896i \(-0.391909\pi\)
−0.255941 + 0.966692i \(0.582385\pi\)
\(158\) 1.70439 22.7434i 0.135594 1.80937i
\(159\) −0.696722 + 1.77522i −0.0552536 + 0.140784i
\(160\) 27.4006 13.1954i 2.16620 1.04319i
\(161\) 10.0097 + 9.70586i 0.788875 + 0.764929i
\(162\) −5.68701 2.73872i −0.446814 0.215174i
\(163\) −10.2429 + 9.50407i −0.802290 + 0.744416i −0.970439 0.241345i \(-0.922411\pi\)
0.168150 + 0.985761i \(0.446221\pi\)
\(164\) −0.555152 + 0.0836757i −0.0433501 + 0.00653398i
\(165\) 6.96214 12.0588i 0.542002 0.938775i
\(166\) 15.2081 + 26.3411i 1.18037 + 2.04447i
\(167\) 0.00795730 + 0.00997814i 0.000615755 + 0.000772132i 0.782139 0.623104i \(-0.214129\pi\)
−0.781524 + 0.623876i \(0.785557\pi\)
\(168\) −1.81924 0.0400115i −0.140357 0.00308695i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 39.2864 + 5.92148i 3.01313 + 0.454156i
\(171\) −0.104561 + 0.0712883i −0.00799596 + 0.00545155i
\(172\) 15.3532 10.4676i 1.17067 0.798150i
\(173\) 20.2196 + 3.04762i 1.53727 + 0.231706i 0.862399 0.506229i \(-0.168961\pi\)
0.674871 + 0.737936i \(0.264199\pi\)
\(174\) 1.65454 2.07473i 0.125430 0.157285i
\(175\) −24.3875 0.536366i −1.84352 0.0405455i
\(176\) 8.33419 + 10.4507i 0.628213 + 0.787755i
\(177\) 0.898899 + 1.55694i 0.0675654 + 0.117027i
\(178\) 14.6044 25.2956i 1.09465 1.89599i
\(179\) 13.9892 2.10853i 1.04560 0.157599i 0.396291 0.918125i \(-0.370297\pi\)
0.649307 + 0.760526i \(0.275059\pi\)
\(180\) 15.0175 13.9342i 1.11934 1.03860i
\(181\) 15.8350 + 7.62574i 1.17701 + 0.566817i 0.917038 0.398800i \(-0.130573\pi\)
0.259970 + 0.965617i \(0.416287\pi\)
\(182\) −3.97802 3.85726i −0.294870 0.285919i
\(183\) 11.0692 5.33062i 0.818255 0.394051i
\(184\) 1.55704 3.96728i 0.114787 0.292472i
\(185\) −1.77485 + 23.6837i −0.130490 + 1.74126i
\(186\) 14.0933 + 4.34720i 1.03337 + 0.318752i
\(187\) 1.63234 + 21.7821i 0.119369 + 1.59287i
\(188\) −3.79399 + 16.6225i −0.276705 + 1.21232i
\(189\) 11.4196 3.24929i 0.830657 0.236351i
\(190\) −0.0976799 0.427964i −0.00708645 0.0310478i
\(191\) −2.05041 + 0.632468i −0.148363 + 0.0457638i −0.368047 0.929807i \(-0.619973\pi\)
0.219684 + 0.975571i \(0.429497\pi\)
\(192\) −3.33486 8.49709i −0.240673 0.613225i
\(193\) −3.04832 2.82843i −0.219423 0.203595i 0.562800 0.826593i \(-0.309724\pi\)
−0.782223 + 0.622998i \(0.785914\pi\)
\(194\) −26.6187 18.1483i −1.91111 1.30297i
\(195\) −3.20692 −0.229652
\(196\) −12.7319 + 10.8117i −0.909421 + 0.772263i
\(197\) 10.9559 0.780576 0.390288 0.920693i \(-0.372375\pi\)
0.390288 + 0.920693i \(0.372375\pi\)
\(198\) 17.1061 + 11.6627i 1.21567 + 0.828833i
\(199\) −4.91444 4.55994i −0.348376 0.323245i 0.486504 0.873679i \(-0.338272\pi\)
−0.834879 + 0.550433i \(0.814463\pi\)
\(200\) 2.72412 + 6.94094i 0.192624 + 0.490799i
\(201\) −2.92230 + 0.901410i −0.206123 + 0.0635805i
\(202\) −1.68602 7.38695i −0.118628 0.519744i
\(203\) −0.208078 3.93648i −0.0146042 0.276287i
\(204\) 2.27165 9.95276i 0.159047 0.696833i
\(205\) 0.0663031 + 0.884753i 0.00463081 + 0.0617939i
\(206\) 20.9737 + 6.46953i 1.46131 + 0.450753i
\(207\) −0.896623 + 11.9646i −0.0623196 + 0.831597i
\(208\) 1.12473 2.86576i 0.0779859 0.198705i
\(209\) 0.217440 0.104714i 0.0150407 0.00724320i
\(210\) −1.71724 + 17.6865i −0.118501 + 1.22048i
\(211\) −8.05305 3.87814i −0.554395 0.266982i 0.135641 0.990758i \(-0.456691\pi\)
−0.690035 + 0.723776i \(0.742405\pi\)
\(212\) 3.92242 3.63947i 0.269393 0.249960i
\(213\) 7.68935 1.15898i 0.526866 0.0794122i
\(214\) 21.4984 37.2363i 1.46960 2.54542i
\(215\) −14.6829 25.4315i −1.00137 1.73442i
\(216\) −2.26278 2.83744i −0.153963 0.193063i
\(217\) 19.9432 9.06946i 1.35383 0.615675i
\(218\) −5.62456 + 7.05298i −0.380944 + 0.477688i
\(219\) 11.1228 + 1.67649i 0.751607 + 0.113287i
\(220\) −32.2802 + 22.0083i −2.17633 + 1.48380i
\(221\) 4.15659 2.83391i 0.279602 0.190630i
\(222\) 11.0924 + 1.67190i 0.744470 + 0.112211i
\(223\) 8.62736 10.8184i 0.577731 0.724452i −0.403993 0.914762i \(-0.632378\pi\)
0.981724 + 0.190310i \(0.0609494\pi\)
\(224\) −19.0166 9.67864i −1.27060 0.646681i
\(225\) −13.0879 16.4117i −0.872526 1.09411i
\(226\) 2.84169 + 4.92195i 0.189026 + 0.327403i
\(227\) −8.03071 + 13.9096i −0.533017 + 0.923212i 0.466240 + 0.884658i \(0.345608\pi\)
−0.999257 + 0.0385536i \(0.987725\pi\)
\(228\) −0.111534 + 0.0168110i −0.00738652 + 0.00111334i
\(229\) 7.12490 6.61094i 0.470827 0.436863i −0.408732 0.912655i \(-0.634029\pi\)
0.879558 + 0.475791i \(0.157838\pi\)
\(230\) −37.4969 18.0576i −2.47247 1.19068i
\(231\) −9.69012 + 1.24331i −0.637563 + 0.0818037i
\(232\) −1.08562 + 0.522809i −0.0712748 + 0.0343241i
\(233\) −2.69098 + 6.85652i −0.176292 + 0.449185i −0.991520 0.129955i \(-0.958517\pi\)
0.815228 + 0.579141i \(0.196612\pi\)
\(234\) 0.356332 4.75492i 0.0232942 0.310839i
\(235\) 25.7476 + 7.94208i 1.67959 + 0.518084i
\(236\) −0.376959 5.03017i −0.0245380 0.327436i
\(237\) −2.06083 + 9.02908i −0.133865 + 0.586502i
\(238\) −13.4036 24.4415i −0.868823 1.58431i
\(239\) 4.22191 + 18.4974i 0.273093 + 1.19650i 0.906341 + 0.422548i \(0.138864\pi\)
−0.633248 + 0.773949i \(0.718279\pi\)
\(240\) −9.43411 + 2.91004i −0.608969 + 0.187842i
\(241\) 3.53990 + 9.01952i 0.228025 + 0.580998i 0.998397 0.0565963i \(-0.0180248\pi\)
−0.770372 + 0.637595i \(0.779930\pi\)
\(242\) −12.0555 11.1859i −0.774960 0.719058i
\(243\) 13.2411 + 9.02763i 0.849417 + 0.579123i
\(244\) −34.4717 −2.20682
\(245\) 15.5346 + 21.3412i 0.992472 + 1.36344i
\(246\) 0.419058 0.0267182
\(247\) −0.0459252 0.0313113i −0.00292215 0.00199229i
\(248\) −4.90914 4.55501i −0.311731 0.289244i
\(249\) −4.51233 11.4972i −0.285958 0.728608i
\(250\) 31.8454 9.82302i 2.01408 0.621262i
\(251\) 4.60919 + 20.1942i 0.290929 + 1.27464i 0.883235 + 0.468931i \(0.155361\pi\)
−0.592305 + 0.805714i \(0.701782\pi\)
\(252\) −14.1625 2.45427i −0.892154 0.154605i
\(253\) 5.09158 22.3077i 0.320105 1.40247i
\(254\) 2.12402 + 28.3431i 0.133273 + 1.77840i
\(255\) −15.4164 4.75533i −0.965413 0.297790i
\(256\) 0.610508 8.14666i 0.0381567 0.509166i
\(257\) 1.81543 4.62563i 0.113243 0.288539i −0.863005 0.505196i \(-0.831420\pi\)
0.976248 + 0.216657i \(0.0695154\pi\)
\(258\) −12.4965 + 6.01798i −0.777996 + 0.374663i
\(259\) 13.9712 9.08192i 0.868125 0.564323i
\(260\) 8.10692 + 3.90409i 0.502770 + 0.242121i
\(261\) 2.48666 2.30729i 0.153921 0.142817i
\(262\) 16.6847 2.51482i 1.03079 0.155366i
\(263\) −6.22204 + 10.7769i −0.383668 + 0.664532i −0.991583 0.129470i \(-0.958672\pi\)
0.607916 + 0.794001i \(0.292006\pi\)
\(264\) 1.49314 + 2.58620i 0.0918965 + 0.159169i
\(265\) −5.27226 6.61120i −0.323872 0.406123i
\(266\) −0.197277 + 0.236516i −0.0120958 + 0.0145017i
\(267\) −7.39508 + 9.27313i −0.452571 + 0.567507i
\(268\) 8.48478 + 1.27888i 0.518291 + 0.0781197i
\(269\) −11.5345 + 7.86406i −0.703268 + 0.479480i −0.861393 0.507939i \(-0.830408\pi\)
0.158125 + 0.987419i \(0.449455\pi\)
\(270\) −29.2822 + 19.9642i −1.78206 + 1.21498i
\(271\) −5.87593 0.885654i −0.356937 0.0537996i −0.0318740 0.999492i \(-0.510148\pi\)
−0.325063 + 0.945692i \(0.605386\pi\)
\(272\) 9.65628 12.1086i 0.585498 0.734191i
\(273\) 1.36386 + 1.78957i 0.0825443 + 0.108310i
\(274\) −12.2807 15.3995i −0.741906 0.930321i
\(275\) 20.0160 + 34.6688i 1.20701 + 2.09060i
\(276\) −5.34695 + 9.26119i −0.321849 + 0.557458i
\(277\) 4.18617 0.630964i 0.251523 0.0379109i −0.0220707 0.999756i \(-0.507026\pi\)
0.273593 + 0.961845i \(0.411788\pi\)
\(278\) −3.59661 + 3.33717i −0.215710 + 0.200150i
\(279\) 16.9861 + 8.18006i 1.01693 + 0.489727i
\(280\) 4.18700 6.89726i 0.250221 0.412190i
\(281\) −18.2641 + 8.79551i −1.08954 + 0.524696i −0.890356 0.455266i \(-0.849544\pi\)
−0.199187 + 0.979962i \(0.563830\pi\)
\(282\) 4.64951 11.8468i 0.276874 0.705464i
\(283\) 2.21951 29.6173i 0.131936 1.76056i −0.402560 0.915393i \(-0.631880\pi\)
0.534496 0.845171i \(-0.320501\pi\)
\(284\) −20.8492 6.43113i −1.23717 0.381617i
\(285\) 0.0133208 + 0.177753i 0.000789053 + 0.0105292i
\(286\) −2.02347 + 8.86542i −0.119651 + 0.524223i
\(287\) 0.465525 0.413272i 0.0274791 0.0243947i
\(288\) −4.08593 17.9016i −0.240766 1.05486i
\(289\) 7.93916 2.44891i 0.467010 0.144053i
\(290\) 4.29885 + 10.9533i 0.252437 + 0.643200i
\(291\) 9.58991 + 8.89813i 0.562170 + 0.521618i
\(292\) −26.0768 17.7789i −1.52603 1.04043i
\(293\) 20.1850 1.17922 0.589611 0.807687i \(-0.299281\pi\)
0.589611 + 0.807687i \(0.299281\pi\)
\(294\) 10.6000 6.56353i 0.618204 0.382793i
\(295\) −7.97163 −0.464126
\(296\) −4.20852 2.86932i −0.244615 0.166776i
\(297\) −14.2833 13.2529i −0.828800 0.769014i
\(298\) −14.8411 37.8145i −0.859722 2.19054i
\(299\) −5.03571 + 1.55331i −0.291222 + 0.0898302i
\(300\) −4.16326 18.2404i −0.240366 1.05311i
\(301\) −7.94725 + 19.0092i −0.458072 + 1.09567i
\(302\) 0.563056 2.46691i 0.0324002 0.141955i
\(303\) 0.229925 + 3.06814i 0.0132089 + 0.176260i
\(304\) −0.163515 0.0504378i −0.00937824 0.00289280i
\(305\) −4.07105 + 54.3244i −0.233108 + 3.11061i
\(306\) 8.76374 22.3296i 0.500989 1.27650i
\(307\) 1.40354 0.675907i 0.0801040 0.0385761i −0.393403 0.919366i \(-0.628702\pi\)
0.473507 + 0.880790i \(0.342988\pi\)
\(308\) 26.0097 + 8.65368i 1.48204 + 0.493089i
\(309\) −8.03008 3.86708i −0.456815 0.219991i
\(310\) −47.9390 + 44.4809i −2.72275 + 2.52635i
\(311\) −7.60127 + 1.14571i −0.431028 + 0.0649671i −0.360973 0.932576i \(-0.617556\pi\)
−0.0700548 + 0.997543i \(0.522317\pi\)
\(312\) 0.343887 0.595630i 0.0194688 0.0337209i
\(313\) −2.39985 4.15667i −0.135648 0.234949i 0.790197 0.612853i \(-0.209978\pi\)
−0.925845 + 0.377904i \(0.876645\pi\)
\(314\) 1.32092 + 1.65638i 0.0745439 + 0.0934750i
\(315\) −5.54029 + 22.0290i −0.312160 + 1.24120i
\(316\) 16.2016 20.3162i 0.911413 1.14288i
\(317\) −13.1395 1.98047i −0.737991 0.111234i −0.230719 0.973020i \(-0.574108\pi\)
−0.507272 + 0.861786i \(0.669346\pi\)
\(318\) −3.29996 + 2.24987i −0.185052 + 0.126167i
\(319\) −5.34509 + 3.64422i −0.299268 + 0.204037i
\(320\) 40.0228 + 6.03247i 2.23734 + 0.337225i
\(321\) −10.8859 + 13.6505i −0.607591 + 0.761896i
\(322\) 5.87015 + 28.6042i 0.327131 + 1.59405i
\(323\) −0.174344 0.218620i −0.00970074 0.0121643i
\(324\) −3.59585 6.22819i −0.199769 0.346011i
\(325\) 4.60991 7.98460i 0.255712 0.442906i
\(326\) −28.9371 + 4.36156i −1.60268 + 0.241564i
\(327\) 2.68530 2.49160i 0.148498 0.137786i
\(328\) −0.171438 0.0825600i −0.00946606 0.00455861i
\(329\) −6.51812 17.7457i −0.359356 0.978353i
\(330\) 26.2739 12.6528i 1.44633 0.696516i
\(331\) 2.92056 7.44147i 0.160529 0.409020i −0.827866 0.560925i \(-0.810446\pi\)
0.988395 + 0.151905i \(0.0485407\pi\)
\(332\) −2.58974 + 34.5577i −0.142131 + 1.89660i
\(333\) 13.7025 + 4.22666i 0.750893 + 0.231620i
\(334\) 0.00199744 + 0.0266540i 0.000109295 + 0.00145844i
\(335\) 3.01743 13.2202i 0.164860 0.722299i
\(336\) 5.63609 + 4.02696i 0.307474 + 0.219689i
\(337\) 5.36359 + 23.4994i 0.292173 + 1.28010i 0.881494 + 0.472196i \(0.156538\pi\)
−0.589320 + 0.807899i \(0.700604\pi\)
\(338\) 2.00127 0.617310i 0.108855 0.0335773i
\(339\) −0.843148 2.14831i −0.0457935 0.116680i
\(340\) 33.1827 + 30.7891i 1.79959 + 1.66977i
\(341\) −29.7068 20.2538i −1.60871 1.09680i
\(342\) −0.265036 −0.0143315
\(343\) 5.30246 17.7450i 0.286306 0.958138i
\(344\) 6.29796 0.339563
\(345\) 13.9634 + 9.52006i 0.751762 + 0.512543i
\(346\) 31.3927 + 29.1281i 1.68768 + 1.56594i
\(347\) −5.58899 14.2405i −0.300033 0.764471i −0.998793 0.0491149i \(-0.984360\pi\)
0.698761 0.715356i \(-0.253735\pi\)
\(348\) 2.88914 0.891181i 0.154874 0.0477723i
\(349\) −0.323591 1.41775i −0.0173214 0.0758902i 0.965528 0.260297i \(-0.0838206\pi\)
−0.982850 + 0.184407i \(0.940963\pi\)
\(350\) −41.5674 29.6997i −2.22187 1.58752i
\(351\) −0.998571 + 4.37503i −0.0532998 + 0.233522i
\(352\) 2.61687 + 34.9198i 0.139480 + 1.86123i
\(353\) 5.88527 + 1.81536i 0.313241 + 0.0966221i 0.447390 0.894339i \(-0.352354\pi\)
−0.134149 + 0.990961i \(0.542830\pi\)
\(354\) −0.281370 + 3.75463i −0.0149547 + 0.199556i
\(355\) −12.5972 + 32.0970i −0.668588 + 1.70353i
\(356\) 29.9834 14.4393i 1.58912 0.765279i
\(357\) 3.90273 + 10.6253i 0.206555 + 0.562348i
\(358\) 26.6945 + 12.8554i 1.41085 + 0.679428i
\(359\) 17.3898 16.1354i 0.917800 0.851594i −0.0715069 0.997440i \(-0.522781\pi\)
0.989307 + 0.145846i \(0.0465903\pi\)
\(360\) 6.86581 1.03485i 0.361860 0.0545416i
\(361\) 9.49846 16.4518i 0.499919 0.865885i
\(362\) 18.4044 + 31.8773i 0.967312 + 1.67543i
\(363\) 4.16371 + 5.22112i 0.218538 + 0.274038i
\(364\) −1.26914 6.18429i −0.0665210 0.324145i
\(365\) −31.0976 + 38.9951i −1.62772 + 2.04110i
\(366\) 25.4430 + 3.83492i 1.32993 + 0.200454i
\(367\) 30.3887 20.7187i 1.58628 1.08151i 0.635295 0.772270i \(-0.280879\pi\)
0.950985 0.309238i \(-0.100074\pi\)
\(368\) −13.4045 + 9.13905i −0.698759 + 0.476406i
\(369\) 0.529701 + 0.0798396i 0.0275751 + 0.00415628i
\(370\) −31.0125 + 38.8885i −1.61227 + 2.02172i
\(371\) −1.44706 + 5.75375i −0.0751279 + 0.298720i
\(372\) 10.4769 + 13.1377i 0.543204 + 0.681156i
\(373\) 0.349815 + 0.605898i 0.0181128 + 0.0313722i 0.874940 0.484232i \(-0.160901\pi\)
−0.856827 + 0.515604i \(0.827568\pi\)
\(374\) −22.8733 + 39.6177i −1.18275 + 2.04858i
\(375\) −13.3815 + 2.01693i −0.691017 + 0.104154i
\(376\) −4.23609 + 3.93052i −0.218460 + 0.202701i
\(377\) 1.34238 + 0.646455i 0.0691360 + 0.0332941i
\(378\) 23.5940 + 7.84996i 1.21355 + 0.403758i
\(379\) 13.6839 6.58984i 0.702897 0.338497i −0.0480636 0.998844i \(-0.515305\pi\)
0.750961 + 0.660347i \(0.229591\pi\)
\(380\) 0.182722 0.465567i 0.00937342 0.0238831i
\(381\) 0.862497 11.5092i 0.0441871 0.589636i
\(382\) −4.29421 1.32459i −0.219711 0.0677718i
\(383\) −0.299106 3.99129i −0.0152836 0.203946i −0.999618 0.0276344i \(-0.991203\pi\)
0.984334 0.176311i \(-0.0564165\pi\)
\(384\) 1.20153 5.26426i 0.0613154 0.268640i
\(385\) 16.7091 39.9670i 0.851577 2.03691i
\(386\) −1.93793 8.49064i −0.0986382 0.432162i
\(387\) −16.9424 + 5.22605i −0.861233 + 0.265655i
\(388\) −13.4102 34.1687i −0.680801 1.73465i
\(389\) −25.8478 23.9832i −1.31053 1.21600i −0.960181 0.279380i \(-0.909871\pi\)
−0.350353 0.936618i \(-0.613939\pi\)
\(390\) −5.54927 3.78343i −0.280998 0.191581i
\(391\) −26.5111 −1.34072
\(392\) −5.62958 + 0.596816i −0.284337 + 0.0301438i
\(393\) −6.85167 −0.345621
\(394\) 18.9581 + 12.9254i 0.955098 + 0.651175i
\(395\) −30.1032 27.9317i −1.51465 1.40539i
\(396\) 8.61787 + 21.9580i 0.433064 + 1.10343i
\(397\) 10.4144 3.21241i 0.522683 0.161226i −0.0221758 0.999754i \(-0.507059\pi\)
0.544859 + 0.838528i \(0.316583\pi\)
\(398\) −3.12430 13.6884i −0.156607 0.686140i
\(399\) 0.0935273 0.0830293i 0.00468222 0.00415666i
\(400\) 6.31601 27.6722i 0.315800 1.38361i
\(401\) −1.30946 17.4735i −0.0653911 0.872584i −0.929392 0.369094i \(-0.879668\pi\)
0.864001 0.503490i \(-0.167951\pi\)
\(402\) −6.12021 1.88784i −0.305249 0.0941567i
\(403\) −0.618815 + 8.25751i −0.0308254 + 0.411336i
\(404\) 3.15390 8.03600i 0.156912 0.399806i
\(405\) −10.2398 + 4.93120i −0.508817 + 0.245034i
\(406\) 4.28408 7.05719i 0.212615 0.350242i
\(407\) −24.6385 11.8653i −1.22128 0.588139i
\(408\) 2.53637 2.35340i 0.125569 0.116511i
\(409\) 8.79038 1.32494i 0.434657 0.0655139i 0.0719303 0.997410i \(-0.477084\pi\)
0.362726 + 0.931896i \(0.381846\pi\)
\(410\) −0.929074 + 1.60920i −0.0458837 + 0.0794729i
\(411\) 3.99911 + 6.92667i 0.197262 + 0.341667i
\(412\) 15.5918 + 19.5515i 0.768155 + 0.963236i
\(413\) 3.39022 + 4.44845i 0.166822 + 0.218894i
\(414\) −15.6670 + 19.6458i −0.769991 + 0.965538i
\(415\) 54.1541 + 8.16241i 2.65832 + 0.400677i
\(416\) 6.66359 4.54316i 0.326709 0.222747i
\(417\) 1.64613 1.12231i 0.0806111 0.0549597i
\(418\) 0.499798 + 0.0753324i 0.0244459 + 0.00368463i
\(419\) −3.31702 + 4.15941i −0.162047 + 0.203201i −0.856225 0.516602i \(-0.827197\pi\)
0.694178 + 0.719803i \(0.255768\pi\)
\(420\) −12.9681 + 15.5475i −0.632777 + 0.758638i
\(421\) 5.62453 + 7.05294i 0.274123 + 0.343739i 0.899768 0.436369i \(-0.143736\pi\)
−0.625645 + 0.780108i \(0.715164\pi\)
\(422\) −9.35971 16.2115i −0.455624 0.789163i
\(423\) 8.13417 14.0888i 0.395497 0.685021i
\(424\) 1.79328 0.270293i 0.0870892 0.0131266i
\(425\) 34.0008 31.5481i 1.64928 1.53031i
\(426\) 14.6730 + 7.06616i 0.710910 + 0.342356i
\(427\) 32.0463 20.8316i 1.55083 1.00811i
\(428\) 44.1370 21.2553i 2.13344 1.02741i
\(429\) 1.34904 3.43729i 0.0651322 0.165954i
\(430\) 4.59599 61.3293i 0.221638 2.95756i
\(431\) 23.8351 + 7.35216i 1.14810 + 0.354141i 0.809689 0.586859i \(-0.199636\pi\)
0.338408 + 0.941000i \(0.390112\pi\)
\(432\) 1.03241 + 13.7766i 0.0496719 + 0.662826i
\(433\) −1.35285 + 5.92724i −0.0650140 + 0.284845i −0.996976 0.0777113i \(-0.975239\pi\)
0.931962 + 0.362556i \(0.118096\pi\)
\(434\) 45.2097 + 7.83455i 2.17013 + 0.376071i
\(435\) −1.06322 4.65828i −0.0509776 0.223347i
\(436\) −9.82155 + 3.02955i −0.470367 + 0.145089i
\(437\) 0.107014 + 0.272667i 0.00511917 + 0.0130434i
\(438\) 17.2690 + 16.0233i 0.825146 + 0.765623i
\(439\) −19.1730 13.0719i −0.915076 0.623888i 0.0115251 0.999934i \(-0.496331\pi\)
−0.926601 + 0.376045i \(0.877284\pi\)
\(440\) −13.2415 −0.631264
\(441\) 14.6492 6.27696i 0.697580 0.298903i
\(442\) 10.5359 0.501144
\(443\) −16.4965 11.2471i −0.783773 0.534367i 0.104039 0.994573i \(-0.466823\pi\)
−0.887812 + 0.460206i \(0.847776\pi\)
\(444\) 9.36900 + 8.69316i 0.444633 + 0.412559i
\(445\) −19.2140 48.9565i −0.910832 2.32076i
\(446\) 27.6920 8.54186i 1.31126 0.404469i
\(447\) 3.67060 + 16.0820i 0.173614 + 0.760651i
\(448\) −13.6548 24.8997i −0.645129 1.17640i
\(449\) 4.53645 19.8755i 0.214088 0.937982i −0.747668 0.664073i \(-0.768826\pi\)
0.961756 0.273909i \(-0.0883166\pi\)
\(450\) −3.28532 43.8396i −0.154871 2.06662i
\(451\) −0.976203 0.301119i −0.0459676 0.0141791i
\(452\) −0.483904 + 6.45725i −0.0227609 + 0.303723i
\(453\) −0.375386 + 0.956467i −0.0176372 + 0.0449387i
\(454\) −30.3065 + 14.5948i −1.42235 + 0.684969i
\(455\) −9.89579 + 1.26970i −0.463922 + 0.0595244i
\(456\) −0.0344430 0.0165869i −0.00161294 0.000776752i
\(457\) −26.5418 + 24.6272i −1.24157 + 1.15201i −0.259049 + 0.965864i \(0.583409\pi\)
−0.982522 + 0.186146i \(0.940400\pi\)
\(458\) 20.1283 3.03386i 0.940536 0.141763i
\(459\) −11.2878 + 19.5511i −0.526870 + 0.912565i
\(460\) −23.7090 41.0651i −1.10544 1.91467i
\(461\) 10.4250 + 13.0725i 0.485541 + 0.608849i 0.962900 0.269860i \(-0.0869773\pi\)
−0.477359 + 0.878708i \(0.658406\pi\)
\(462\) −18.2346 9.28068i −0.848352 0.431776i
\(463\) 3.95161 4.95516i 0.183647 0.230286i −0.681483 0.731834i \(-0.738665\pi\)
0.865130 + 0.501548i \(0.167236\pi\)
\(464\) 4.53561 + 0.683634i 0.210561 + 0.0317369i
\(465\) 21.9411 14.9592i 1.01750 0.693717i
\(466\) −12.7456 + 8.68980i −0.590429 + 0.402547i
\(467\) −3.22869 0.486647i −0.149406 0.0225193i 0.0739133 0.997265i \(-0.476451\pi\)
−0.223319 + 0.974745i \(0.571689\pi\)
\(468\) 3.38724 4.24746i 0.156575 0.196339i
\(469\) −8.66063 + 3.93855i −0.399911 + 0.181865i
\(470\) 35.1839 + 44.1193i 1.62291 + 2.03507i
\(471\) −0.430146 0.745035i −0.0198201 0.0343294i
\(472\) 0.854821 1.48059i 0.0393463 0.0681498i
\(473\) 33.4350 5.03952i 1.53734 0.231717i
\(474\) −14.2183 + 13.1927i −0.653069 + 0.605959i
\(475\) −0.461719 0.222352i −0.0211851 0.0102022i
\(476\) 3.06924 31.6113i 0.140678 1.44890i
\(477\) −4.59989 + 2.21519i −0.210614 + 0.101427i
\(478\) −14.5171 + 36.9888i −0.663994 + 1.69183i
\(479\) 0.297506 3.96994i 0.0135934 0.181391i −0.986274 0.165116i \(-0.947200\pi\)
0.999868 0.0162752i \(-0.00518078\pi\)
\(480\) −24.7146 7.62345i −1.12806 0.347962i
\(481\) 0.470668 + 6.28062i 0.0214606 + 0.286372i
\(482\) −4.51550 + 19.7837i −0.205675 + 0.901122i
\(483\) −0.625892 11.8408i −0.0284791 0.538775i
\(484\) −4.16946 18.2676i −0.189521 0.830345i
\(485\) −55.4306 + 17.0981i −2.51698 + 0.776384i
\(486\) 12.2619 + 31.2429i 0.556213 + 1.41721i
\(487\) −14.0589 13.0447i −0.637068 0.591113i 0.294068 0.955784i \(-0.404991\pi\)
−0.931136 + 0.364672i \(0.881181\pi\)
\(488\) −9.65327 6.58149i −0.436983 0.297930i
\(489\) 11.8831 0.537374
\(490\) 1.70353 + 55.2562i 0.0769576 + 2.49622i
\(491\) −36.8111 −1.66126 −0.830631 0.556823i \(-0.812020\pi\)
−0.830631 + 0.556823i \(0.812020\pi\)
\(492\) 0.394490 + 0.268959i 0.0177850 + 0.0121256i
\(493\) 5.49453 + 5.09818i 0.247461 + 0.229611i
\(494\) −0.0425291 0.108362i −0.00191347 0.00487545i
\(495\) 35.6216 10.9878i 1.60107 0.493865i
\(496\) 5.67264 + 24.8535i 0.254709 + 1.11595i
\(497\) 23.2686 6.62075i 1.04374 0.296981i
\(498\) 5.75593 25.2184i 0.257930 1.13006i
\(499\) −2.88774 38.5341i −0.129273 1.72503i −0.565123 0.825006i \(-0.691171\pi\)
0.435851 0.900019i \(-0.356448\pi\)
\(500\) 36.2831 + 11.1918i 1.62263 + 0.500515i
\(501\) 0.000811097 0.0108233i 3.62371e−5 0.000483551i
\(502\) −15.8487 + 40.3819i −0.707363 + 1.80233i
\(503\) −14.3053 + 6.88909i −0.637844 + 0.307169i −0.724714 0.689050i \(-0.758028\pi\)
0.0868697 + 0.996220i \(0.472314\pi\)
\(504\) −3.49741 3.39125i −0.155787 0.151058i
\(505\) −12.2916 5.91931i −0.546968 0.263406i
\(506\) 35.1284 32.5944i 1.56165 1.44900i
\(507\) −0.840936 + 0.126751i −0.0373473 + 0.00562920i
\(508\) −16.1916 + 28.0447i −0.718387 + 1.24428i
\(509\) −11.2460 19.4787i −0.498471 0.863376i 0.501528 0.865141i \(-0.332771\pi\)
−0.999998 + 0.00176515i \(0.999438\pi\)
\(510\) −21.0664 26.4165i −0.932837 1.16974i
\(511\) 34.9860 + 0.769465i 1.54769 + 0.0340391i
\(512\) 18.5850 23.3049i 0.821349 1.02994i
\(513\) 0.246647 + 0.0371760i 0.0108897 + 0.00164136i
\(514\) 8.59860 5.86243i 0.379268 0.258581i
\(515\) 32.6529 22.2624i 1.43886 0.980997i
\(516\) −15.6263 2.35529i −0.687910 0.103686i
\(517\) −19.3437 + 24.2563i −0.850736 + 1.06679i
\(518\) 34.8903 + 0.767361i 1.53299 + 0.0337159i
\(519\) −10.8423 13.5958i −0.475924 0.596790i
\(520\) 1.52483 + 2.64109i 0.0668683 + 0.115819i
\(521\) 3.30181 5.71890i 0.144655 0.250549i −0.784589 0.620016i \(-0.787126\pi\)
0.929244 + 0.369466i \(0.120460\pi\)
\(522\) 7.02500 1.05885i 0.307476 0.0463445i
\(523\) 5.36709 4.97993i 0.234686 0.217757i −0.554059 0.832478i \(-0.686922\pi\)
0.788745 + 0.614720i \(0.210731\pi\)
\(524\) 17.3206 + 8.34118i 0.756656 + 0.364386i
\(525\) 14.8932 + 14.4411i 0.649992 + 0.630262i
\(526\) −23.4809 + 11.3078i −1.02382 + 0.493044i
\(527\) −15.2193 + 38.7782i −0.662964 + 1.68920i
\(528\) 0.849514 11.3360i 0.0369703 0.493335i
\(529\) 4.55915 + 1.40631i 0.198224 + 0.0611439i
\(530\) −1.32344 17.6601i −0.0574866 0.767106i
\(531\) −1.07100 + 4.69234i −0.0464773 + 0.203630i
\(532\) −0.337511 + 0.0960339i −0.0146330 + 0.00416360i
\(533\) 0.0523555 + 0.229384i 0.00226777 + 0.00993574i
\(534\) −23.7366 + 7.32178i −1.02718 + 0.316845i
\(535\) −28.2839 72.0662i −1.22282 3.11570i
\(536\) 2.13187 + 1.97808i 0.0920825 + 0.0854401i
\(537\) −9.94067 6.77744i −0.428972 0.292468i
\(538\) −29.2371 −1.26050
\(539\) −29.4091 + 7.67311i −1.26674 + 0.330504i
\(540\) −40.3789 −1.73763
\(541\) −29.4316 20.0661i −1.26536 0.862709i −0.270379 0.962754i \(-0.587149\pi\)
−0.994983 + 0.100045i \(0.968101\pi\)
\(542\) −9.12287 8.46478i −0.391861 0.363594i
\(543\) −5.46070 13.9136i −0.234341 0.597091i
\(544\) 38.7702 11.9590i 1.66226 0.512738i
\(545\) 3.61439 + 15.8357i 0.154824 + 0.678327i
\(546\) 0.248740 + 4.70572i 0.0106451 + 0.201386i
\(547\) 6.75815 29.6094i 0.288957 1.26601i −0.597001 0.802241i \(-0.703641\pi\)
0.885958 0.463765i \(-0.153502\pi\)
\(548\) −1.67705 22.3787i −0.0716402 0.955972i
\(549\) 31.4300 + 9.69489i 1.34140 + 0.413768i
\(550\) −6.26535 + 83.6053i −0.267155 + 3.56494i
\(551\) 0.0302558 0.0770905i 0.00128894 0.00328417i
\(552\) −3.26552 + 1.57259i −0.138990 + 0.0669339i
\(553\) −2.78439 + 28.6775i −0.118404 + 1.21949i
\(554\) 7.98816 + 3.84690i 0.339384 + 0.163439i
\(555\) 14.8061 13.7381i 0.628485 0.583149i
\(556\) −5.52761 + 0.833153i −0.234423 + 0.0353336i
\(557\) −17.8032 + 30.8360i −0.754344 + 1.30656i 0.191356 + 0.981521i \(0.438711\pi\)
−0.945700 + 0.325041i \(0.894622\pi\)
\(558\) 19.7422 + 34.1944i 0.835753 + 1.44757i
\(559\) −4.85539 6.08847i −0.205361 0.257515i
\(560\) −27.9593 + 12.7149i −1.18149 + 0.537302i
\(561\) 11.5821 14.5235i 0.488996 0.613181i
\(562\) −41.9809 6.32760i −1.77086 0.266914i
\(563\) 9.64898 6.57857i 0.406656 0.277253i −0.342668 0.939456i \(-0.611331\pi\)
0.749325 + 0.662203i \(0.230378\pi\)
\(564\) 11.9804 8.16810i 0.504466 0.343939i
\(565\) 10.1189 + 1.52518i 0.425706 + 0.0641648i
\(566\) 38.7822 48.6314i 1.63014 2.04413i
\(567\) 7.10660 + 3.61697i 0.298449 + 0.151898i
\(568\) −4.61064 5.78156i −0.193458 0.242589i
\(569\) 17.9110 + 31.0228i 0.750870 + 1.30054i 0.947402 + 0.320047i \(0.103699\pi\)
−0.196532 + 0.980497i \(0.562968\pi\)
\(570\) −0.186657 + 0.323300i −0.00781822 + 0.0135416i
\(571\) −17.2763 + 2.60399i −0.722991 + 0.108973i −0.500221 0.865898i \(-0.666748\pi\)
−0.222770 + 0.974871i \(0.571510\pi\)
\(572\) −7.59484 + 7.04698i −0.317556 + 0.294649i
\(573\) 1.64410 + 0.791756i 0.0686832 + 0.0330761i
\(574\) 1.29311 0.165915i 0.0539735 0.00692517i
\(575\) −43.7753 + 21.0811i −1.82556 + 0.879141i
\(576\) 8.92801 22.7482i 0.372000 0.947842i
\(577\) −1.49494 + 19.9486i −0.0622351 + 0.830470i 0.875522 + 0.483178i \(0.160518\pi\)
−0.937757 + 0.347292i \(0.887101\pi\)
\(578\) 16.6271 + 5.12878i 0.691597 + 0.213329i
\(579\) 0.264279 + 3.52656i 0.0109831 + 0.146559i
\(580\) −2.98320 + 13.0702i −0.123870 + 0.542712i
\(581\) −18.4760 33.6912i −0.766515 1.39775i
\(582\) 6.09667 + 26.7113i 0.252715 + 1.10722i
\(583\) 9.30398 2.86990i 0.385331 0.118859i
\(584\) −3.90799 9.95740i −0.161714 0.412040i
\(585\) −6.29360 5.83961i −0.260208 0.241438i
\(586\) 34.9283 + 23.8137i 1.44287 + 0.983735i
\(587\) −21.8460 −0.901682 −0.450841 0.892604i \(-0.648876\pi\)
−0.450841 + 0.892604i \(0.648876\pi\)
\(588\) 14.1912 + 0.624529i 0.585233 + 0.0257551i
\(589\) 0.460268 0.0189650
\(590\) −13.7941 9.40469i −0.567896 0.387185i
\(591\) −6.83005 6.33736i −0.280951 0.260684i
\(592\) 7.08380 + 18.0492i 0.291143 + 0.741819i
\(593\) −2.13500 + 0.658559i −0.0876738 + 0.0270438i −0.338282 0.941045i \(-0.609846\pi\)
0.250608 + 0.968089i \(0.419369\pi\)
\(594\) −9.08042 39.7839i −0.372574 1.63235i
\(595\) −49.4541 8.57009i −2.02742 0.351339i
\(596\) 10.2990 45.1229i 0.421864 1.84831i
\(597\) 0.426065 + 5.68544i 0.0174377 + 0.232690i
\(598\) −10.5464 3.25312i −0.431273 0.133030i
\(599\) 1.13321 15.1216i 0.0463016 0.617852i −0.924995 0.379980i \(-0.875931\pi\)
0.971296 0.237873i \(-0.0764500\pi\)
\(600\) 2.31669 5.90282i 0.0945783 0.240982i
\(601\) 14.8006 7.12759i 0.603729 0.290740i −0.106942 0.994265i \(-0.534106\pi\)
0.710671 + 0.703525i \(0.248392\pi\)
\(602\) −36.1785 + 23.5177i −1.47452 + 0.958511i
\(603\) −7.37645 3.55231i −0.300392 0.144661i
\(604\) 2.11335 1.96090i 0.0859911 0.0797881i
\(605\) −29.2805 + 4.41333i −1.19042 + 0.179427i
\(606\) −3.22184 + 5.58038i −0.130878 + 0.226688i
\(607\) 2.80968 + 4.86651i 0.114041 + 0.197526i 0.917396 0.397975i \(-0.130287\pi\)
−0.803355 + 0.595501i \(0.796954\pi\)
\(608\) −0.279497 0.350478i −0.0113351 0.0142138i
\(609\) −2.14731 + 2.57441i −0.0870133 + 0.104320i
\(610\) −71.1348 + 89.2003i −2.88017 + 3.61161i
\(611\) 7.06558 + 1.06496i 0.285843 + 0.0430839i
\(612\) 22.5815 15.3958i 0.912804 0.622339i
\(613\) 22.4551 15.3096i 0.906952 0.618350i −0.0174171 0.999848i \(-0.505544\pi\)
0.924369 + 0.381499i \(0.124592\pi\)
\(614\) 3.22610 + 0.486256i 0.130195 + 0.0196237i
\(615\) 0.470445 0.589919i 0.0189702 0.0237878i
\(616\) 5.63142 + 7.38922i 0.226896 + 0.297720i
\(617\) −6.07927 7.62317i −0.244742 0.306897i 0.644254 0.764812i \(-0.277168\pi\)
−0.888996 + 0.457915i \(0.848597\pi\)
\(618\) −9.33302 16.1653i −0.375429 0.650262i
\(619\) −3.87274 + 6.70778i −0.155658 + 0.269608i −0.933299 0.359101i \(-0.883083\pi\)
0.777640 + 0.628710i \(0.216417\pi\)
\(620\) −73.6772 + 11.1051i −2.95895 + 0.445990i
\(621\) 17.3356 16.0851i 0.695655 0.645473i
\(622\) −14.5049 6.98521i −0.581595 0.280081i
\(623\) −19.1480 + 31.5426i −0.767148 + 1.26373i
\(624\) −2.35885 + 1.13596i −0.0944295 + 0.0454748i
\(625\) 5.08045 12.9448i 0.203218 0.517791i
\(626\) 0.751194 10.0240i 0.0300238 0.400639i
\(627\) −0.196126 0.0604968i −0.00783251 0.00241601i
\(628\) 0.180385 + 2.40707i 0.00719813 + 0.0960524i
\(629\) −7.05052 + 30.8903i −0.281123 + 1.23168i
\(630\) −35.5761 + 31.5829i −1.41739 + 1.25829i
\(631\) −4.53368 19.8634i −0.180483 0.790748i −0.981400 0.191973i \(-0.938512\pi\)
0.800917 0.598775i \(-0.204346\pi\)
\(632\) 8.41587 2.59595i 0.334766 0.103261i
\(633\) 2.77709 + 7.07591i 0.110379 + 0.281242i
\(634\) −20.4002 18.9287i −0.810197 0.751753i
\(635\) 42.2838 + 28.8286i 1.67798 + 1.14403i
\(636\) −4.55051 −0.180439
\(637\) 4.91707 + 4.98221i 0.194821 + 0.197402i
\(638\) −13.5485 −0.536391
\(639\) 17.2009 + 11.7273i 0.680455 + 0.463927i
\(640\) 17.5511 + 16.2851i 0.693770 + 0.643724i
\(641\) −0.0182246 0.0464354i −0.000719827 0.00183409i 0.930513 0.366258i \(-0.119361\pi\)
−0.931233 + 0.364424i \(0.881266\pi\)
\(642\) −34.9414 + 10.7780i −1.37903 + 0.425374i
\(643\) −1.93995 8.49949i −0.0765043 0.335187i 0.922163 0.386802i \(-0.126420\pi\)
−0.998667 + 0.0516148i \(0.983563\pi\)
\(644\) −12.8327 + 30.6948i −0.505679 + 1.20955i
\(645\) −5.55717 + 24.3475i −0.218813 + 0.958684i
\(646\) −0.0437637 0.583986i −0.00172186 0.0229766i
\(647\) 21.0038 + 6.47881i 0.825744 + 0.254708i 0.678694 0.734421i \(-0.262546\pi\)
0.147050 + 0.989129i \(0.453022\pi\)
\(648\) 0.182152 2.43065i 0.00715559 0.0954848i
\(649\) 3.35338 8.54428i 0.131632 0.335392i
\(650\) 17.3970 8.37796i 0.682367 0.328610i
\(651\) −17.6790 5.88198i −0.692895 0.230533i
\(652\) −30.0399 14.4665i −1.17645 0.566551i
\(653\) 35.8720 33.2843i 1.40378 1.30252i 0.505682 0.862720i \(-0.331241\pi\)
0.898097 0.439797i \(-0.144950\pi\)
\(654\) 7.58617 1.14343i 0.296643 0.0447117i
\(655\) 15.1905 26.3107i 0.593543 1.02805i
\(656\) 0.362168 + 0.627294i 0.0141403 + 0.0244917i
\(657\) 18.7757 + 23.5440i 0.732511 + 0.918540i
\(658\) 9.65686 38.3971i 0.376464 1.49688i
\(659\) −11.0098 + 13.8058i −0.428880 + 0.537799i −0.948575 0.316553i \(-0.897474\pi\)
0.519695 + 0.854352i \(0.326046\pi\)
\(660\) 32.8544 + 4.95201i 1.27886 + 0.192757i
\(661\) 26.2514 17.8979i 1.02106 0.696148i 0.0676152 0.997711i \(-0.478461\pi\)
0.953446 + 0.301564i \(0.0975086\pi\)
\(662\) 13.8330 9.43117i 0.537634 0.366553i
\(663\) −4.23052 0.637649i −0.164300 0.0247642i
\(664\) −7.32313 + 9.18291i −0.284192 + 0.356366i
\(665\) 0.111482 + 0.543230i 0.00432307 + 0.0210656i
\(666\) 18.7244 + 23.4796i 0.725556 + 0.909818i
\(667\) −3.92583 6.79974i −0.152009 0.263287i
\(668\) −0.0152267 + 0.0263734i −0.000589138 + 0.00102042i
\(669\) −11.6362 + 1.75388i −0.449882 + 0.0678088i
\(670\) 20.8182 19.3165i 0.804278 0.746261i
\(671\) −56.5143 27.2159i −2.18171 1.05066i
\(672\) 6.25662 + 17.0338i 0.241354 + 0.657092i
\(673\) −25.8981 + 12.4719i −0.998300 + 0.480756i −0.860361 0.509685i \(-0.829762\pi\)
−0.137939 + 0.990441i \(0.544048\pi\)
\(674\) −18.4427 + 46.9913i −0.710387 + 1.81004i
\(675\) −3.09191 + 41.2586i −0.119008 + 1.58805i
\(676\) 2.28015 + 0.703332i 0.0876979 + 0.0270512i
\(677\) −1.12600 15.0255i −0.0432758 0.577475i −0.976125 0.217209i \(-0.930305\pi\)
0.932849 0.360266i \(-0.117314\pi\)
\(678\) 1.07552 4.71216i 0.0413051 0.180969i
\(679\) 33.1152 + 23.6606i 1.27084 + 0.908012i
\(680\) 3.41393 + 14.9574i 0.130918 + 0.573590i
\(681\) 13.0523 4.02611i 0.500167 0.154281i
\(682\) −27.5100 70.0944i −1.05341 2.68405i
\(683\) 29.8659 + 27.7115i 1.14279 + 1.06035i 0.997479 + 0.0709657i \(0.0226081\pi\)
0.145309 + 0.989386i \(0.453582\pi\)
\(684\) −0.249498 0.170105i −0.00953980 0.00650412i
\(685\) −35.4650 −1.35505
\(686\) 30.1104 24.4503i 1.14962 0.933516i
\(687\) −8.26580 −0.315360
\(688\) −19.8084 13.5051i −0.755188 0.514879i
\(689\) −1.64382 1.52524i −0.0626246 0.0581072i
\(690\) 12.9308 + 32.9471i 0.492267 + 1.25428i
\(691\) 8.79342 2.71241i 0.334517 0.103185i −0.122946 0.992413i \(-0.539234\pi\)
0.457464 + 0.889228i \(0.348758\pi\)
\(692\) 10.8573 + 47.5688i 0.412732 + 1.80830i
\(693\) −21.2809 15.2051i −0.808395 0.577595i
\(694\) 7.12931 31.2356i 0.270625 1.18569i
\(695\) 0.660175 + 8.80943i 0.0250419 + 0.334161i
\(696\) 0.979207 + 0.302045i 0.0371168 + 0.0114490i
\(697\) −0.0884541 + 1.18034i −0.00335044 + 0.0447085i
\(698\) 1.11267 2.83504i 0.0421152 0.107308i
\(699\) 5.64369 2.71786i 0.213464 0.102799i
\(700\) −20.0687 54.6373i −0.758524 2.06509i
\(701\) −9.52112 4.58513i −0.359608 0.173178i 0.245352 0.969434i \(-0.421097\pi\)
−0.604960 + 0.796256i \(0.706811\pi\)
\(702\) −6.88946 + 6.39248i −0.260026 + 0.241269i
\(703\) 0.346167 0.0521763i 0.0130560 0.00196787i
\(704\) −23.3020 + 40.3603i −0.878228 + 1.52114i
\(705\) −11.4573 19.8447i −0.431508 0.747395i
\(706\) 8.04218 + 10.0846i 0.302671 + 0.379538i
\(707\) 1.92425 + 9.37652i 0.0723688 + 0.352640i
\(708\) −2.67466 + 3.35392i −0.100520 + 0.126048i
\(709\) 29.1701 + 4.39668i 1.09551 + 0.165121i 0.671839 0.740697i \(-0.265505\pi\)
0.423666 + 0.905818i \(0.360743\pi\)
\(710\) −59.6653 + 40.6791i −2.23920 + 1.52666i
\(711\) −20.4858 + 13.9670i −0.768278 + 0.523803i
\(712\) 11.1532 + 1.68107i 0.417984 + 0.0630009i
\(713\) 27.2077 34.1173i 1.01894 1.27770i
\(714\) −5.78205 + 22.9903i −0.216388 + 0.860391i
\(715\) 10.2085 + 12.8010i 0.381776 + 0.478732i
\(716\) 16.8787 + 29.2347i 0.630786 + 1.09255i
\(717\) 8.06768 13.9736i 0.301293 0.521855i
\(718\) 49.1275 7.40478i 1.83342 0.276344i
\(719\) −1.60331 + 1.48766i −0.0597934 + 0.0554802i −0.709504 0.704702i \(-0.751081\pi\)
0.649710 + 0.760182i \(0.274890\pi\)
\(720\) −23.8135 11.4680i −0.887477 0.427387i
\(721\) −26.3100 8.75359i −0.979835 0.326001i
\(722\) 35.8455 17.2623i 1.33403 0.642436i
\(723\) 3.01045 7.67051i 0.111960 0.285269i
\(724\) −3.13403 + 41.8207i −0.116475 + 1.55425i
\(725\) 13.1266 + 4.04901i 0.487509 + 0.150376i
\(726\) 1.04517 + 13.9469i 0.0387900 + 0.517617i
\(727\) 7.72050 33.8257i 0.286338 1.25453i −0.603172 0.797611i \(-0.706097\pi\)
0.889510 0.456916i \(-0.151046\pi\)
\(728\) 0.825329 1.97413i 0.0305887 0.0731660i
\(729\) −1.02072 4.47208i −0.0378045 0.165632i
\(730\) −99.8167 + 30.7894i −3.69438 + 1.13957i
\(731\) −14.3128 36.4684i −0.529378 1.34883i
\(732\) 21.4901 + 19.9399i 0.794297 + 0.736999i
\(733\) −12.4058 8.45814i −0.458219 0.312408i 0.312120 0.950043i \(-0.398961\pi\)
−0.770339 + 0.637634i \(0.779913\pi\)
\(734\) 77.0281 2.84316
\(735\) 2.66015 22.2903i 0.0981213 0.822189i
\(736\) −42.5010 −1.56661
\(737\) 12.9006 + 8.79549i 0.475200 + 0.323986i
\(738\) 0.822405 + 0.763080i 0.0302731 + 0.0280894i
\(739\) 14.1409 + 36.0305i 0.520182 + 1.32540i 0.913813 + 0.406134i \(0.133123\pi\)
−0.393631 + 0.919268i \(0.628781\pi\)
\(740\) −54.1538 + 16.7042i −1.99073 + 0.614060i
\(741\) 0.0105186 + 0.0460849i 0.000386410 + 0.00169297i
\(742\) −9.29211 + 8.24911i −0.341124 + 0.302834i
\(743\) −7.84831 + 34.3857i −0.287927 + 1.26149i 0.599438 + 0.800421i \(0.295391\pi\)
−0.887365 + 0.461068i \(0.847466\pi\)
\(744\) 0.425605 + 5.67931i 0.0156034 + 0.208213i
\(745\) −69.8935 21.5593i −2.56070 0.789871i
\(746\) −0.109498 + 1.46115i −0.00400901 + 0.0534965i
\(747\) 12.0803 30.7801i 0.441995 1.12619i
\(748\) −46.9597 + 22.6146i −1.71701 + 0.826871i
\(749\) −28.1867 + 46.4321i −1.02992 + 1.69659i
\(750\) −25.5349 12.2970i −0.932403 0.449022i
\(751\) 4.68843 4.35022i 0.171083 0.158742i −0.589984 0.807415i \(-0.700866\pi\)
0.761067 + 0.648673i \(0.224676\pi\)
\(752\) 21.7519 3.27857i 0.793210 0.119557i
\(753\) 8.80774 15.2554i 0.320972 0.555939i
\(754\) 1.56019 + 2.70232i 0.0568187 + 0.0984129i
\(755\) −2.84063 3.56204i −0.103381 0.129636i
\(756\) 17.1726 + 22.5328i 0.624560 + 0.819511i
\(757\) 3.50529 4.39549i 0.127402 0.159757i −0.714039 0.700106i \(-0.753136\pi\)
0.841441 + 0.540349i \(0.181708\pi\)
\(758\) 31.4533 + 4.74082i 1.14243 + 0.172194i
\(759\) −16.0779 + 10.9617i −0.583589 + 0.397884i
\(760\) 0.140056 0.0954889i 0.00508038 0.00346375i
\(761\) −47.7370 7.19520i −1.73047 0.260826i −0.793080 0.609118i \(-0.791524\pi\)
−0.937386 + 0.348292i \(0.886762\pi\)
\(762\) 15.0707 18.8981i 0.545954 0.684605i
\(763\) 7.29972 8.75165i 0.264268 0.316831i
\(764\) −3.19231 4.00303i −0.115494 0.144825i
\(765\) −21.5956 37.4047i −0.780792 1.35237i
\(766\) 4.19123 7.25943i 0.151435 0.262294i
\(767\) −2.09036 + 0.315072i −0.0754787 + 0.0113766i
\(768\) −5.09297 + 4.72559i −0.183777 + 0.170520i
\(769\) −34.1787 16.4596i −1.23251 0.593548i −0.299744 0.954020i \(-0.596901\pi\)
−0.932770 + 0.360472i \(0.882616\pi\)
\(770\) 76.0655 49.4462i 2.74121 1.78192i
\(771\) −3.80742 + 1.83356i −0.137121 + 0.0660339i
\(772\) 3.62513 9.23667i 0.130471 0.332435i
\(773\) −3.06980