Properties

Label 637.2.bl.a.625.24
Level $637$
Weight $2$
Character 637.625
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 625.24
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.a.53.24

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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 0.233178 0.972434i \(-0.425088\pi\)
0.990403 + 0.138211i \(0.0441352\pi\)
\(3\) −0.623413 + 0.578442i −0.359927 + 0.333964i −0.839321 0.543636i \(-0.817047\pi\)
0.479394 + 0.877600i \(0.340857\pi\)
\(4\) 0.871761 2.22121i 0.435880 1.11061i
\(5\) 3.60339 + 1.11150i 1.61148 + 0.497077i 0.964201 0.265173i \(-0.0854291\pi\)
0.647283 + 0.762250i \(0.275905\pi\)
\(6\) −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 −0.802801 0.596248i \(-0.796658\pi\)
0.704968 0.709239i \(-0.250961\pi\)
\(12\) 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 0.721346 0.692575i \(-0.243524\pi\)
0.485158 + 0.874426i \(0.338762\pi\)
\(18\) 2.38413 + 4.12943i 0.561944 + 0.973316i
\(19\) −0.0277917 + 0.0481367i −0.00637586 + 0.0110433i −0.869196 0.494468i \(-0.835363\pi\)
0.862820 + 0.505511i \(0.168696\pi\)
\(20\) 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 −0.667813 0.744329i \(-0.732769\pi\)
−0.418749 + 0.908102i \(0.637531\pi\)
\(24\) 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 −0.688063 0.725651i \(-0.741539\pi\)
0.860566 + 0.509340i \(0.170110\pi\)
\(30\) −3.35815 + 5.81649i −0.613111 + 1.06194i
\(31\) −4.14033 7.17127i −0.743626 1.28800i −0.950834 0.309701i \(-0.899771\pi\)
0.207208 0.978297i \(-0.433562\pi\)
\(32\) 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 −0.985555 0.169355i \(-0.945832\pi\)
0.607272 0.794494i \(-0.292264\pi\)
\(38\) 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 0.970675 0.240395i \(-0.0772771\pi\)
−0.978852 + 0.204571i \(0.934420\pi\)
\(42\) −1.81763 4.34763i −0.280466 0.670854i
\(43\) −1.73287 + 7.59219i −0.264260 + 1.15780i 0.652319 + 0.757945i \(0.273796\pi\)
−0.916579 + 0.399854i \(0.869061\pi\)
\(44\) −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 −0.0502019 0.998739i \(-0.515986\pi\)
0.911359 + 0.411612i \(0.135034\pi\)
\(48\) −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 −0.976034 0.217617i \(-0.930172\pi\)
0.863501 + 0.504347i \(0.168267\pi\)
\(54\) −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 −0.423446 0.905922i \(-0.639180\pi\)
0.160457 + 0.987043i \(0.448703\pi\)
\(60\) 0.571850 + 7.63081i 0.0738256 + 0.985134i
\(61\) −5.27791 13.4479i −0.675767 1.72183i −0.691937 0.721958i \(-0.743242\pi\)
0.0161692 0.999869i \(-0.494853\pi\)
\(62\) −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 0.954704 0.297556i \(-0.0961716\pi\)
−0.735043 + 0.678020i \(0.762838\pi\)
\(68\) 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 0.318443 0.947942i \(-0.396840\pi\)
−0.995035 + 0.0995220i \(0.968269\pi\)
\(72\) 1.82073 0.274430i 0.214575 0.0323419i
\(73\) −10.9284 7.45084i −1.27907 0.872055i −0.282870 0.959158i \(-0.591287\pi\)
−0.996199 + 0.0871032i \(0.972239\pi\)
\(74\) −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 0.378184 + 0.925730i \(0.376549\pi\)
−0.990798 + 0.135348i \(0.956785\pi\)
\(80\) 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 0.456109 0.889924i \(-0.349243\pi\)
0.980150 + 0.198258i \(0.0635284\pi\)
\(84\) −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 0.616391 + 0.787440i \(0.288594\pi\)
−0.726868 + 0.686777i \(0.759025\pi\)
\(90\) 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 −0.801009 0.598652i \(-0.795703\pi\)
0.537118 + 0.843507i \(0.319513\pi\)
\(102\) −3.27350 + 8.34075i −0.324125 + 0.825857i
\(103\) 10.0146 + 3.08909i 0.986766 + 0.304377i 0.745810 0.666159i \(-0.232063\pi\)
0.240956 + 0.970536i \(0.422539\pi\)
\(104\) 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 0.0488188 + 0.998808i \(0.484454\pi\)
−0.197138 + 0.980376i \(0.563165\pi\)
\(108\) −10.2322 + 3.15623i −0.984598 + 0.303708i
\(109\) −0.321894 4.29538i −0.0308319 0.411423i −0.991171 0.132589i \(-0.957671\pi\)
0.960339 0.278834i \(-0.0899479\pi\)
\(110\) −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 −0.315333 0.948981i \(-0.602116\pi\)
0.545337 + 0.838217i \(0.316402\pi\)
\(114\) −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 −0.248792 0.968557i \(-0.580034\pi\)
0.999635 + 0.0270302i \(0.00860502\pi\)
\(128\) 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 0.894655 0.446757i \(-0.147421\pi\)
−0.378650 + 0.925540i \(0.623612\pi\)
\(132\) 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 −0.653828 0.756643i \(-0.726838\pi\)
−0.113986 + 0.993482i \(0.536362\pi\)
\(138\) 0.701415 9.35973i 0.0597084 0.796753i
\(139\) −0.521300 2.28396i −0.0442161 0.193723i 0.947996 0.318282i \(-0.103106\pi\)
−0.992212 + 0.124558i \(0.960249\pi\)
\(140\) −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 −0.998532 0.0541611i \(-0.982752\pi\)
−0.314388 + 0.949295i \(0.601799\pi\)
\(150\) −12.0376 + 11.1693i −0.982867 + 0.911967i
\(151\) −0.441405 + 1.12468i −0.0359210 + 0.0915252i −0.947709 0.319137i \(-0.896607\pi\)
0.911788 + 0.410662i \(0.134702\pi\)
\(152\) 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 −0.255941 0.966692i \(-0.582385\pi\)
0.333088 + 0.942896i \(0.391909\pi\)
\(158\) 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 0.168150 0.985761i \(-0.446221\pi\)
−0.970439 + 0.241345i \(0.922411\pi\)
\(164\) −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 −0.781524 0.623876i \(-0.785557\pi\)
0.782139 + 0.623104i \(0.214129\pi\)
\(168\) −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 0.674871 0.737936i \(-0.264199\pi\)
0.862399 + 0.506229i \(0.168961\pi\)
\(174\) 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 0.649307 0.760526i \(-0.275059\pi\)
0.396291 + 0.918125i \(0.370297\pi\)
\(180\) 15.0175 + 13.9342i 1.11934 + 1.03860i
\(181\) 15.8350 7.62574i 1.17701 0.566817i 0.259970 0.965617i \(-0.416287\pi\)
0.917038 + 0.398800i \(0.130573\pi\)
\(182\) −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 0.219684 0.975571i \(-0.429497\pi\)
−0.368047 + 0.929807i \(0.619973\pi\)
\(192\) −3.33486 + 8.49709i −0.240673 + 0.613225i
\(193\) −3.04832 + 2.82843i −0.219423 + 0.203595i −0.782223 0.622998i \(-0.785914\pi\)
0.562800 + 0.826593i \(0.309724\pi\)
\(194\) −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 −0.834879 0.550433i \(-0.814463\pi\)
0.486504 + 0.873679i \(0.338272\pi\)
\(200\) 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 −0.690035 0.723776i \(-0.742405\pi\)
0.135641 + 0.990758i \(0.456691\pi\)
\(212\) 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 0.981724 0.190310i \(-0.0609494\pi\)
−0.403993 + 0.914762i \(0.632378\pi\)
\(224\) −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 −0.999257 0.0385536i \(-0.987725\pi\)
0.466240 0.884658i \(-0.345608\pi\)
\(228\) −0.111534 0.0168110i −0.00738652 0.00111334i
\(229\) 7.12490 + 6.61094i 0.470827 + 0.436863i 0.879558 0.475791i \(-0.157838\pi\)
−0.408732 + 0.912655i \(0.634029\pi\)
\(230\) −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 0.815228 0.579141i \(-0.196612\pi\)
−0.991520 + 0.129955i \(0.958517\pi\)
\(234\) 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 −0.633248 0.773949i \(-0.718279\pi\)
0.906341 0.422548i \(-0.138864\pi\)
\(240\) −9.43411 2.91004i −0.608969 0.187842i
\(241\) 3.53990 9.01952i 0.228025 0.580998i −0.770372 0.637595i \(-0.779930\pi\)
0.998397 + 0.0565963i \(0.0180248\pi\)
\(242\) −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 −0.592305 0.805714i \(-0.701782\pi\)
0.883235 0.468931i \(-0.155361\pi\)
\(252\) −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 0.976248 0.216657i \(-0.0695154\pi\)
−0.863005 + 0.505196i \(0.831420\pi\)
\(258\) −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 0.607916 0.794001i \(-0.292006\pi\)
−0.991583 + 0.129470i \(0.958672\pi\)
\(264\) 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 0.158125 0.987419i \(-0.449455\pi\)
−0.861393 + 0.507939i \(0.830408\pi\)
\(270\) −29.2822 19.9642i −1.78206 1.21498i
\(271\) −5.87593 + 0.885654i −0.356937 + 0.0537996i −0.325063 0.945692i \(-0.605386\pi\)
−0.0318740 + 0.999492i \(0.510148\pi\)
\(272\) 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 0.273593 0.961845i \(-0.411788\pi\)
−0.0220707 + 0.999756i \(0.507026\pi\)
\(278\) −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 −0.199187 0.979962i \(-0.563830\pi\)
−0.890356 + 0.455266i \(0.849544\pi\)
\(282\) 4.64951 + 11.8468i 0.276874 + 0.705464i
\(283\) 2.21951 + 29.6173i 0.131936 + 1.76056i 0.534496 + 0.845171i \(0.320501\pi\)
−0.402560 + 0.915393i \(0.631880\pi\)
\(284\) −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 0.473507 0.880790i \(-0.342988\pi\)
−0.393403 + 0.919366i \(0.628702\pi\)
\(308\) 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 −0.0700548 0.997543i \(-0.522317\pi\)
−0.360973 + 0.932576i \(0.617556\pi\)
\(312\) 0.343887 + 0.595630i 0.0194688 + 0.0337209i
\(313\) −2.39985 + 4.15667i −0.135648 + 0.234949i −0.925845 0.377904i \(-0.876645\pi\)
0.790197 + 0.612853i \(0.209978\pi\)
\(314\) 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 −0.507272 0.861786i \(-0.669346\pi\)
−0.230719 + 0.973020i \(0.574108\pi\)
\(318\) −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 0.988395 0.151905i \(-0.0485407\pi\)
−0.827866 + 0.560925i \(0.810446\pi\)
\(332\) −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 −0.589320 0.807899i \(-0.700604\pi\)
0.881494 0.472196i \(-0.156538\pi\)
\(338\) 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 0.698761 + 0.715356i \(0.253735\pi\)
−0.998793 + 0.0491149i \(0.984360\pi\)
\(348\) 2.88914 + 0.891181i 0.154874 + 0.0477723i
\(349\) −0.323591 + 1.41775i −0.0173214 + 0.0758902i −0.982850 0.184407i \(-0.940963\pi\)
0.965528 + 0.260297i \(0.0838206\pi\)
\(350\) −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 −0.134149 0.990961i \(-0.542830\pi\)
0.447390 + 0.894339i \(0.352354\pi\)
\(354\) −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 0.989307 0.145846i \(-0.0465903\pi\)
−0.0715069 + 0.997440i \(0.522781\pi\)
\(360\) 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 0.950985 + 0.309238i \(0.100074\pi\)
0.635295 + 0.772270i \(0.280879\pi\)
\(368\) −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 −0.856827 0.515604i \(-0.827568\pi\)
0.874940 + 0.484232i \(0.160901\pi\)
\(374\) −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 0.750961 0.660347i \(-0.229591\pi\)
−0.0480636 + 0.998844i \(0.515305\pi\)
\(380\) 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 0.984334 + 0.176311i \(0.0564165\pi\)
−0.999618 + 0.0276344i \(0.991203\pi\)
\(384\) 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 −0.350353 + 0.936618i \(0.613939\pi\)
−0.960181 + 0.279380i \(0.909871\pi\)
\(390\) −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 0.544859 0.838528i \(-0.316583\pi\)
−0.0221758 + 0.999754i \(0.507059\pi\)
\(398\) −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 0.864001 + 0.503490i \(0.167951\pi\)
−0.929392 + 0.369094i \(0.879668\pi\)
\(402\) −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 0.362726 0.931896i \(-0.381846\pi\)
0.0719303 + 0.997410i \(0.477084\pi\)
\(410\) −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 0.694178 0.719803i \(-0.255768\pi\)
−0.856225 + 0.516602i \(0.827197\pi\)
\(420\) −12.9681 15.5475i −0.632777 0.758638i
\(421\) 5.62453 7.05294i 0.274123 0.343739i −0.625645 0.780108i \(-0.715164\pi\)
0.899768 + 0.436369i \(0.143736\pi\)
\(422\) −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 0.338408 0.941000i \(-0.390112\pi\)
0.809689 + 0.586859i \(0.199636\pi\)
\(432\) 1.03241 13.7766i 0.0496719 0.662826i
\(433\) −1.35285 5.92724i −0.0650140 0.284845i 0.931962 0.362556i \(-0.118096\pi\)
−0.996976 + 0.0777113i \(0.975239\pi\)
\(434\) 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 −0.926601 0.376045i \(-0.877284\pi\)
0.0115251 + 0.999934i \(0.496331\pi\)
\(440\) −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 −0.887812 0.460206i \(-0.847776\pi\)
0.104039 + 0.994573i \(0.466823\pi\)
\(444\) 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 0.961756 + 0.273909i \(0.0883166\pi\)
−0.747668 + 0.664073i \(0.768826\pi\)
\(450\) −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 −0.982522 0.186146i \(-0.940400\pi\)
−0.259049 0.965864i \(-0.583409\pi\)
\(458\) 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 −0.477359 0.878708i \(-0.658406\pi\)
0.962900 + 0.269860i \(0.0869773\pi\)
\(462\) −18.2346 + 9.28068i −0.848352 + 0.431776i
\(463\) 3.95161 + 4.95516i 0.183647 + 0.230286i 0.865130 0.501548i \(-0.167236\pi\)
−0.681483 + 0.731834i \(0.738665\pi\)
\(464\) 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 −0.223319 0.974745i \(-0.571689\pi\)
0.0739133 + 0.997265i \(0.476451\pi\)
\(468\) 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 0.999868 + 0.0162752i \(0.00518078\pi\)
−0.986274 + 0.165116i \(0.947200\pi\)
\(480\) −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 −0.931136 0.364672i \(-0.881181\pi\)
0.294068 + 0.955784i \(0.404991\pi\)
\(488\) −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 0.435851 + 0.900019i \(0.356448\pi\)
−0.565123 + 0.825006i \(0.691171\pi\)
\(500\) 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 0.0868697 0.996220i \(-0.472314\pi\)
−0.724714 + 0.689050i \(0.758028\pi\)
\(504\) −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 −0.999998 0.00176515i \(-0.999438\pi\)
0.501528 + 0.865141i \(0.332771\pi\)
\(510\) −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 0.929244 0.369466i \(-0.120460\pi\)
−0.784589 + 0.620016i \(0.787126\pi\)
\(522\) 7.02500 + 1.05885i 0.307476 + 0.0463445i
\(523\) 5.36709 + 4.97993i 0.234686 + 0.217757i 0.788745 0.614720i \(-0.210731\pi\)
−0.554059 + 0.832478i \(0.686922\pi\)
\(524\) 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 −0.994983 0.100045i \(-0.968101\pi\)
−0.270379 + 0.962754i \(0.587149\pi\)
\(542\) −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 0.885958 + 0.463765i \(0.153502\pi\)
−0.597001 + 0.802241i \(0.703641\pi\)
\(548\) −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 −0.945700 0.325041i \(-0.894622\pi\)
0.191356 0.981521i \(-0.438711\pi\)
\(558\) 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 0.749325 0.662203i \(-0.230378\pi\)
−0.342668 + 0.939456i \(0.611331\pi\)
\(564\) 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 −0.196532 0.980497i \(-0.562968\pi\)
0.947402 0.320047i \(-0.103699\pi\)
\(570\) −0.186657 0.323300i −0.00781822 0.0135416i
\(571\) −17.2763 2.60399i −0.722991 0.108973i −0.222770 0.974871i \(-0.571510\pi\)
−0.500221 + 0.865898i \(0.666748\pi\)
\(572\) −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 −0.937757 0.347292i \(-0.887101\pi\)
0.875522 0.483178i \(-0.160518\pi\)
\(578\) 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 0.250608 0.968089i \(-0.419369\pi\)
−0.338282 + 0.941045i \(0.609846\pi\)
\(594\) −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 0.971296 + 0.237873i \(0.0764500\pi\)
−0.924995 + 0.379980i \(0.875931\pi\)
\(600\) 2.31669 + 5.90282i 0.0945783 + 0.240982i
\(601\) 14.8006 + 7.12759i 0.603729 + 0.290740i 0.710671 0.703525i \(-0.248392\pi\)
−0.106942 + 0.994265i \(0.534106\pi\)
\(602\) −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 −0.803355 0.595501i \(-0.796954\pi\)
0.917396 + 0.397975i \(0.130287\pi\)
\(608\) −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 0.924369 0.381499i \(-0.124592\pi\)
−0.0174171 + 0.999848i \(0.505544\pi\)
\(614\) 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 −0.888996 0.457915i \(-0.848597\pi\)
0.644254 + 0.764812i \(0.277168\pi\)
\(618\) −9.33302 + 16.1653i −0.375429 + 0.650262i
\(619\) −3.87274 6.70778i −0.155658 0.269608i 0.777640 0.628710i \(-0.216417\pi\)
−0.933299 + 0.359101i \(0.883083\pi\)
\(620\) −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 0.800917 + 0.598775i \(0.204346\pi\)
−0.981400 + 0.191973i \(0.938512\pi\)
\(632\) 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 −0.931233 0.364424i \(-0.881266\pi\)
0.930513 + 0.366258i \(0.119361\pi\)
\(642\) −34.9414 10.7780i −1.37903 0.425374i
\(643\) −1.93995 + 8.49949i −0.0765043 + 0.335187i −0.998667 0.0516148i \(-0.983563\pi\)
0.922163 + 0.386802i \(0.126420\pi\)
\(644\) −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 0.147050 0.989129i \(-0.453022\pi\)
0.678694 + 0.734421i \(0.262546\pi\)
\(648\) 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 0.898097 + 0.439797i \(0.144950\pi\)
0.505682 + 0.862720i \(0.331241\pi\)
\(654\) 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 0.519695 0.854352i \(-0.326046\pi\)
−0.948575 + 0.316553i \(0.897474\pi\)
\(660\) 32.8544 4.95201i 1.27886 0.192757i
\(661\) 26.2514 + 17.8979i 1.02106 + 0.696148i 0.953446 0.301564i \(-0.0975086\pi\)
0.0676152 + 0.997711i \(0.478461\pi\)
\(662\) 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 −0.137939 0.990441i \(-0.544048\pi\)
−0.860361 + 0.509685i \(0.829762\pi\)
\(674\) −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 0.932849 + 0.360266i \(0.117314\pi\)
−0.976125 + 0.217209i \(0.930305\pi\)
\(678\) 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 0.145309 0.989386i \(-0.453582\pi\)
0.997479 0.0709657i \(-0.0226081\pi\)
\(684\) −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 0.457464 0.889228i \(-0.348758\pi\)
−0.122946 + 0.992413i \(0.539234\pi\)
\(692\) 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 −0.604960 0.796256i \(-0.706811\pi\)
0.245352 + 0.969434i \(0.421097\pi\)
\(702\) −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 0.423666 0.905818i \(-0.360743\pi\)
0.671839 + 0.740697i \(0.265505\pi\)
\(710\) −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 0.649710 0.760182i \(-0.274890\pi\)
−0.709504 + 0.704702i \(0.751081\pi\)
\(720\) −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 0.889510 + 0.456916i \(0.151046\pi\)
−0.603172 + 0.797611i \(0.706097\pi\)
\(728\) 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 −0.770339 0.637634i \(-0.779913\pi\)
0.312120 + 0.950043i \(0.398961\pi\)
\(734\) 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 −0.393631 0.919268i \(-0.628781\pi\)
0.913813 0.406134i \(-0.133123\pi\)
\(740\) −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 −0.887365 0.461068i \(-0.847466\pi\)
0.599438 0.800421i \(-0.295391\pi\)
\(744\) 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 0.761067 0.648673i \(-0.224676\pi\)
−0.589984 + 0.807415i \(0.700866\pi\)
\(752\) 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 0.841441 0.540349i \(-0.181708\pi\)
−0.714039 + 0.700106i \(0.753136\pi\)
\(758\) 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 −0.937386 0.348292i \(-0.886762\pi\)
−0.793080 + 0.609118i \(0.791524\pi\)
\(762\) 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 −0.932770 0.360472i \(-0.882616\pi\)
−0.299744 + 0.954020i \(0.596901\pi\)
\(770\) 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 40.9637i −0.110413