Properties

Label 400.2.be.a.181.43
Level $400$
Weight $2$
Character 400.181
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 181.43
Character \(\chi\) \(=\) 400.181
Dual form 400.2.be.a.221.43

$q$-expansion

\(f(q)\) \(=\) \(q+(0.925705 - 1.06914i) q^{2} +(0.157387 - 0.993702i) q^{3} +(-0.286140 - 1.97943i) q^{4} +(-0.389615 - 2.20186i) q^{5} +(-0.916717 - 1.08814i) q^{6} +0.222360i q^{7} +(-2.38117 - 1.52644i) q^{8} +(1.89050 + 0.614260i) q^{9} +O(q^{10})\) \(q+(0.925705 - 1.06914i) q^{2} +(0.157387 - 0.993702i) q^{3} +(-0.286140 - 1.97943i) q^{4} +(-0.389615 - 2.20186i) q^{5} +(-0.916717 - 1.08814i) q^{6} +0.222360i q^{7} +(-2.38117 - 1.52644i) q^{8} +(1.89050 + 0.614260i) q^{9} +(-2.71478 - 1.62172i) q^{10} +(0.721291 - 1.41561i) q^{11} +(-2.01199 - 0.0271979i) q^{12} +(1.79231 + 3.51760i) q^{13} +(0.237735 + 0.205840i) q^{14} +(-2.24932 + 0.0406171i) q^{15} +(-3.83625 + 1.13278i) q^{16} +(-1.68389 - 1.22342i) q^{17} +(2.40678 - 1.45259i) q^{18} +(-7.18210 + 1.13753i) q^{19} +(-4.24694 + 1.40126i) q^{20} +(0.220960 + 0.0349966i) q^{21} +(-0.845792 - 2.08160i) q^{22} +(4.29425 - 1.39529i) q^{23} +(-1.89159 + 2.12593i) q^{24} +(-4.69640 + 1.71576i) q^{25} +(5.41997 + 1.34003i) q^{26} +(2.27819 - 4.47121i) q^{27} +(0.440146 - 0.0636262i) q^{28} +(0.298893 - 1.88714i) q^{29} +(-2.03878 + 2.44244i) q^{30} +(7.10795 + 5.16423i) q^{31} +(-2.34012 + 5.15013i) q^{32} +(-1.29317 - 0.939547i) q^{33} +(-2.86680 + 0.667800i) q^{34} +(0.489607 - 0.0866350i) q^{35} +(0.674935 - 3.91786i) q^{36} +(6.20441 - 3.16130i) q^{37} +(-5.43232 + 8.73172i) q^{38} +(3.77753 - 1.22739i) q^{39} +(-2.43327 + 5.83774i) q^{40} +(9.90557 + 3.21851i) q^{41} +(0.241960 - 0.203842i) q^{42} +(-8.51645 - 8.51645i) q^{43} +(-3.00849 - 1.02268i) q^{44} +(0.615949 - 4.40194i) q^{45} +(2.48345 - 5.88280i) q^{46} +(-3.95824 + 2.87583i) q^{47} +(0.521875 + 3.99037i) q^{48} +6.95056 q^{49} +(-2.51309 + 6.60942i) q^{50} +(-1.48074 + 1.48074i) q^{51} +(6.44998 - 4.55426i) q^{52} +(1.59229 + 0.252194i) q^{53} +(-2.67143 - 6.57474i) q^{54} +(-3.39801 - 1.03664i) q^{55} +(0.339420 - 0.529479i) q^{56} +7.31589i q^{57} +(-1.74094 - 2.06649i) q^{58} +(2.98963 - 1.52329i) q^{59} +(0.724017 + 4.44073i) q^{60} +(8.16099 + 4.15823i) q^{61} +(12.1012 - 2.81887i) q^{62} +(-0.136587 + 0.420372i) q^{63} +(3.33997 + 7.26943i) q^{64} +(7.04696 - 5.31693i) q^{65} +(-2.20161 + 0.512848i) q^{66} +(-6.76888 + 1.07209i) q^{67} +(-1.93984 + 3.68321i) q^{68} +(-0.710640 - 4.48681i) q^{69} +(0.360606 - 0.603659i) q^{70} +(-1.31537 - 1.81045i) q^{71} +(-3.56397 - 4.34839i) q^{72} +(-5.28016 + 1.71563i) q^{73} +(2.36356 - 9.55985i) q^{74} +(0.965801 + 4.93686i) q^{75} +(4.30674 + 13.8909i) q^{76} +(0.314776 + 0.160386i) q^{77} +(2.18462 - 5.17493i) q^{78} +(-6.95537 + 5.05337i) q^{79} +(3.98890 + 8.00554i) q^{80} +(0.739970 + 0.537620i) q^{81} +(12.6107 - 7.61109i) q^{82} +(9.17519 - 1.45321i) q^{83} +(0.00604773 - 0.447388i) q^{84} +(-2.03773 + 4.18437i) q^{85} +(-16.9890 + 1.22159i) q^{86} +(-1.82821 - 0.594022i) q^{87} +(-3.87836 + 2.26981i) q^{88} +(-13.0965 + 4.25531i) q^{89} +(-4.13612 - 4.73344i) q^{90} +(-0.782175 + 0.398538i) q^{91} +(-3.99062 - 8.10091i) q^{92} +(6.25040 - 6.25040i) q^{93} +(-0.589486 + 6.89410i) q^{94} +(5.30294 + 15.3708i) q^{95} +(4.74939 + 3.13595i) q^{96} +(6.25920 - 4.54757i) q^{97} +(6.43417 - 7.43115i) q^{98} +(2.23315 - 2.23315i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.925705 1.06914i 0.654572 0.755999i
\(3\) 0.157387 0.993702i 0.0908674 0.573714i −0.899681 0.436548i \(-0.856201\pi\)
0.990548 0.137166i \(-0.0437992\pi\)
\(4\) −0.286140 1.97943i −0.143070 0.989713i
\(5\) −0.389615 2.20186i −0.174241 0.984703i
\(6\) −0.916717 1.08814i −0.374248 0.444233i
\(7\) 0.222360i 0.0840443i 0.999117 + 0.0420222i \(0.0133800\pi\)
−0.999117 + 0.0420222i \(0.986620\pi\)
\(8\) −2.38117 1.52644i −0.841872 0.539678i
\(9\) 1.89050 + 0.614260i 0.630166 + 0.204753i
\(10\) −2.71478 1.62172i −0.858488 0.512833i
\(11\) 0.721291 1.41561i 0.217477 0.426823i −0.756332 0.654187i \(-0.773011\pi\)
0.973810 + 0.227364i \(0.0730108\pi\)
\(12\) −2.01199 0.0271979i −0.580812 0.00785135i
\(13\) 1.79231 + 3.51760i 0.497097 + 0.975607i 0.994162 + 0.107894i \(0.0344108\pi\)
−0.497066 + 0.867713i \(0.665589\pi\)
\(14\) 0.237735 + 0.205840i 0.0635375 + 0.0550131i
\(15\) −2.24932 + 0.0406171i −0.580771 + 0.0104873i
\(16\) −3.83625 + 1.13278i −0.959062 + 0.283196i
\(17\) −1.68389 1.22342i −0.408405 0.296723i 0.364551 0.931183i \(-0.381222\pi\)
−0.772956 + 0.634460i \(0.781222\pi\)
\(18\) 2.40678 1.45259i 0.567282 0.342379i
\(19\) −7.18210 + 1.13753i −1.64769 + 0.260968i −0.910131 0.414320i \(-0.864019\pi\)
−0.737554 + 0.675288i \(0.764019\pi\)
\(20\) −4.24694 + 1.40126i −0.949644 + 0.313330i
\(21\) 0.220960 + 0.0349966i 0.0482174 + 0.00763689i
\(22\) −0.845792 2.08160i −0.180323 0.443799i
\(23\) 4.29425 1.39529i 0.895414 0.290938i 0.175071 0.984556i \(-0.443985\pi\)
0.720343 + 0.693618i \(0.243985\pi\)
\(24\) −1.89159 + 2.12593i −0.386119 + 0.433954i
\(25\) −4.69640 + 1.71576i −0.939280 + 0.343152i
\(26\) 5.41997 + 1.34003i 1.06294 + 0.262801i
\(27\) 2.27819 4.47121i 0.438439 0.860484i
\(28\) 0.440146 0.0636262i 0.0831797 0.0120242i
\(29\) 0.298893 1.88714i 0.0555031 0.350433i −0.944271 0.329170i \(-0.893231\pi\)
0.999774 0.0212631i \(-0.00676878\pi\)
\(30\) −2.03878 + 2.44244i −0.372228 + 0.445927i
\(31\) 7.10795 + 5.16423i 1.27663 + 0.927523i 0.999446 0.0332944i \(-0.0105999\pi\)
0.277181 + 0.960818i \(0.410600\pi\)
\(32\) −2.34012 + 5.15013i −0.413679 + 0.910423i
\(33\) −1.29317 0.939547i −0.225113 0.163554i
\(34\) −2.86680 + 0.667800i −0.491653 + 0.114527i
\(35\) 0.489607 0.0866350i 0.0827587 0.0146440i
\(36\) 0.674935 3.91786i 0.112489 0.652977i
\(37\) 6.20441 3.16130i 1.02000 0.519715i 0.137734 0.990469i \(-0.456018\pi\)
0.882265 + 0.470754i \(0.156018\pi\)
\(38\) −5.43232 + 8.73172i −0.881238 + 1.41647i
\(39\) 3.77753 1.22739i 0.604889 0.196540i
\(40\) −2.43327 + 5.83774i −0.384734 + 0.923028i
\(41\) 9.90557 + 3.21851i 1.54699 + 0.502648i 0.953295 0.302042i \(-0.0976683\pi\)
0.593696 + 0.804690i \(0.297668\pi\)
\(42\) 0.241960 0.203842i 0.0373353 0.0314534i
\(43\) −8.51645 8.51645i −1.29875 1.29875i −0.929220 0.369526i \(-0.879520\pi\)
−0.369526 0.929220i \(-0.620480\pi\)
\(44\) −3.00849 1.02268i −0.453547 0.154174i
\(45\) 0.615949 4.40194i 0.0918202 0.656203i
\(46\) 2.48345 5.88280i 0.366165 0.867372i
\(47\) −3.95824 + 2.87583i −0.577369 + 0.419483i −0.837774 0.546016i \(-0.816144\pi\)
0.260406 + 0.965499i \(0.416144\pi\)
\(48\) 0.521875 + 3.99037i 0.0753262 + 0.575961i
\(49\) 6.95056 0.992937
\(50\) −2.51309 + 6.60942i −0.355404 + 0.934713i
\(51\) −1.48074 + 1.48074i −0.207345 + 0.207345i
\(52\) 6.44998 4.55426i 0.894451 0.631563i
\(53\) 1.59229 + 0.252194i 0.218718 + 0.0346416i 0.264832 0.964295i \(-0.414684\pi\)
−0.0461135 + 0.998936i \(0.514684\pi\)
\(54\) −2.67143 6.57474i −0.363536 0.894709i
\(55\) −3.39801 1.03664i −0.458188 0.139780i
\(56\) 0.339420 0.529479i 0.0453569 0.0707545i
\(57\) 7.31589i 0.969014i
\(58\) −1.74094 2.06649i −0.228596 0.271344i
\(59\) 2.98963 1.52329i 0.389217 0.198316i −0.248421 0.968652i \(-0.579912\pi\)
0.637638 + 0.770336i \(0.279912\pi\)
\(60\) 0.724017 + 4.44073i 0.0934702 + 0.573296i
\(61\) 8.16099 + 4.15823i 1.04491 + 0.532407i 0.890208 0.455554i \(-0.150559\pi\)
0.154700 + 0.987962i \(0.450559\pi\)
\(62\) 12.1012 2.81887i 1.53685 0.357997i
\(63\) −0.136587 + 0.420372i −0.0172083 + 0.0529619i
\(64\) 3.33997 + 7.26943i 0.417496 + 0.908679i
\(65\) 7.04696 5.31693i 0.874068 0.659484i
\(66\) −2.20161 + 0.512848i −0.270999 + 0.0631272i
\(67\) −6.76888 + 1.07209i −0.826950 + 0.130976i −0.555542 0.831488i \(-0.687489\pi\)
−0.271408 + 0.962464i \(0.587489\pi\)
\(68\) −1.93984 + 3.68321i −0.235240 + 0.446655i
\(69\) −0.710640 4.48681i −0.0855511 0.540148i
\(70\) 0.360606 0.603659i 0.0431007 0.0721511i
\(71\) −1.31537 1.81045i −0.156105 0.214861i 0.723800 0.690010i \(-0.242394\pi\)
−0.879905 + 0.475150i \(0.842394\pi\)
\(72\) −3.56397 4.34839i −0.420018 0.512462i
\(73\) −5.28016 + 1.71563i −0.617996 + 0.200799i −0.601250 0.799061i \(-0.705330\pi\)
−0.0167455 + 0.999860i \(0.505330\pi\)
\(74\) 2.36356 9.55985i 0.274759 1.11131i
\(75\) 0.965801 + 4.93686i 0.111521 + 0.570059i
\(76\) 4.30674 + 13.8909i 0.494017 + 1.59340i
\(77\) 0.314776 + 0.160386i 0.0358721 + 0.0182777i
\(78\) 2.18462 5.17493i 0.247359 0.585946i
\(79\) −6.95537 + 5.05337i −0.782540 + 0.568549i −0.905740 0.423833i \(-0.860684\pi\)
0.123200 + 0.992382i \(0.460684\pi\)
\(80\) 3.98890 + 8.00554i 0.445972 + 0.895047i
\(81\) 0.739970 + 0.537620i 0.0822189 + 0.0597355i
\(82\) 12.6107 7.61109i 1.39262 0.840504i
\(83\) 9.17519 1.45321i 1.00711 0.159510i 0.368977 0.929438i \(-0.379708\pi\)
0.638130 + 0.769928i \(0.279708\pi\)
\(84\) 0.00604773 0.447388i 0.000659862 0.0488140i
\(85\) −2.03773 + 4.18437i −0.221023 + 0.453859i
\(86\) −16.9890 + 1.22159i −1.83197 + 0.131728i
\(87\) −1.82821 0.594022i −0.196005 0.0636858i
\(88\) −3.87836 + 2.26981i −0.413435 + 0.241963i
\(89\) −13.0965 + 4.25531i −1.38823 + 0.451062i −0.905365 0.424635i \(-0.860402\pi\)
−0.482861 + 0.875697i \(0.660402\pi\)
\(90\) −4.13612 4.73344i −0.435986 0.498948i
\(91\) −0.782175 + 0.398538i −0.0819942 + 0.0417782i
\(92\) −3.99062 8.10091i −0.416051 0.844578i
\(93\) 6.25040 6.25040i 0.648137 0.648137i
\(94\) −0.589486 + 6.89410i −0.0608008 + 0.711072i
\(95\) 5.30294 + 15.3708i 0.544071 + 1.57701i
\(96\) 4.74939 + 3.13595i 0.484732 + 0.320061i
\(97\) 6.25920 4.54757i 0.635525 0.461736i −0.222785 0.974868i \(-0.571515\pi\)
0.858310 + 0.513131i \(0.171515\pi\)
\(98\) 6.43417 7.43115i 0.649949 0.750659i
\(99\) 2.23315 2.23315i 0.224440 0.224440i
\(100\) 4.74004 + 8.80522i 0.474004 + 0.880522i
\(101\) 11.3077 + 11.3077i 1.12516 + 1.12516i 0.990954 + 0.134204i \(0.0428478\pi\)
0.134204 + 0.990954i \(0.457152\pi\)
\(102\) 0.212396 + 2.95385i 0.0210304 + 0.292475i
\(103\) −3.13609 4.31646i −0.309008 0.425313i 0.626063 0.779772i \(-0.284665\pi\)
−0.935072 + 0.354459i \(0.884665\pi\)
\(104\) 1.10161 11.1119i 0.108022 1.08961i
\(105\) −0.00903164 0.500159i −0.000881398 0.0488105i
\(106\) 1.74363 1.46893i 0.169356 0.142675i
\(107\) −5.14664 5.14664i −0.497545 0.497545i 0.413128 0.910673i \(-0.364436\pi\)
−0.910673 + 0.413128i \(0.864436\pi\)
\(108\) −9.50230 3.23012i −0.914360 0.310819i
\(109\) −1.47589 2.89660i −0.141365 0.277444i 0.809459 0.587176i \(-0.199760\pi\)
−0.950824 + 0.309733i \(0.899760\pi\)
\(110\) −4.25387 + 2.67334i −0.405591 + 0.254893i
\(111\) −2.16490 6.66288i −0.205483 0.632413i
\(112\) −0.251887 0.853030i −0.0238010 0.0806037i
\(113\) 0.666879 2.05244i 0.0627347 0.193078i −0.914777 0.403960i \(-0.867634\pi\)
0.977512 + 0.210882i \(0.0676336\pi\)
\(114\) 7.82175 + 6.77236i 0.732574 + 0.634290i
\(115\) −4.74534 8.91173i −0.442505 0.831023i
\(116\) −3.82097 0.0516515i −0.354768 0.00479572i
\(117\) 1.22763 + 7.75096i 0.113495 + 0.716576i
\(118\) 1.13890 4.60647i 0.104844 0.424060i
\(119\) 0.272040 0.374432i 0.0249379 0.0343241i
\(120\) 5.41801 + 3.33673i 0.494594 + 0.304600i
\(121\) 4.98194 + 6.85705i 0.452904 + 0.623368i
\(122\) 12.0004 4.87598i 1.08647 0.441451i
\(123\) 4.75725 9.33663i 0.428947 0.841856i
\(124\) 8.18834 15.5474i 0.735335 1.39619i
\(125\) 5.60766 + 9.67234i 0.501564 + 0.865121i
\(126\) 0.322999 + 0.535172i 0.0287750 + 0.0476769i
\(127\) 0.0661910 + 0.203715i 0.00587350 + 0.0180768i 0.953950 0.299965i \(-0.0969749\pi\)
−0.948077 + 0.318041i \(0.896975\pi\)
\(128\) 10.8639 + 3.15844i 0.960242 + 0.279170i
\(129\) −9.80319 + 7.12243i −0.863122 + 0.627095i
\(130\) 0.838849 12.4561i 0.0735719 1.09247i
\(131\) −1.59260 + 0.252244i −0.139147 + 0.0220386i −0.225619 0.974216i \(-0.572440\pi\)
0.0864726 + 0.996254i \(0.472440\pi\)
\(132\) −1.48973 + 2.82858i −0.129665 + 0.246197i
\(133\) −0.252942 1.59701i −0.0219329 0.138479i
\(134\) −5.11977 + 8.22934i −0.442281 + 0.710907i
\(135\) −10.7326 3.27422i −0.923716 0.281800i
\(136\) 2.14217 + 5.48354i 0.183689 + 0.470210i
\(137\) −15.9154 5.17122i −1.35974 0.441807i −0.463785 0.885948i \(-0.653509\pi\)
−0.895957 + 0.444141i \(0.853509\pi\)
\(138\) −5.45489 3.39368i −0.464351 0.288889i
\(139\) −3.30650 + 6.48937i −0.280453 + 0.550421i −0.987665 0.156581i \(-0.949953\pi\)
0.707212 + 0.707002i \(0.249953\pi\)
\(140\) −0.311584 0.944351i −0.0263336 0.0798122i
\(141\) 2.23474 + 4.38593i 0.188199 + 0.369362i
\(142\) −3.15327 0.269623i −0.264617 0.0226263i
\(143\) 6.27234 0.524519
\(144\) −7.94824 0.214926i −0.662353 0.0179105i
\(145\) −4.27167 + 0.0771359i −0.354743 + 0.00640579i
\(146\) −3.05362 + 7.23342i −0.252719 + 0.598642i
\(147\) 1.09393 6.90678i 0.0902255 0.569662i
\(148\) −8.03289 11.3766i −0.660300 0.935150i
\(149\) −1.43189 1.43189i −0.117305 0.117305i 0.646018 0.763323i \(-0.276433\pi\)
−0.763323 + 0.646018i \(0.776433\pi\)
\(150\) 6.17226 + 3.53749i 0.503963 + 0.288835i
\(151\) 11.2634i 0.916603i 0.888797 + 0.458301i \(0.151542\pi\)
−0.888797 + 0.458301i \(0.848458\pi\)
\(152\) 18.8382 + 8.25437i 1.52798 + 0.669518i
\(153\) −2.43190 3.34722i −0.196607 0.270607i
\(154\) 0.462866 0.188071i 0.0372988 0.0151552i
\(155\) 8.60156 17.6628i 0.690894 1.41871i
\(156\) −3.51044 7.12614i −0.281060 0.570547i
\(157\) −15.3643 + 15.3643i −1.22621 + 1.22621i −0.260820 + 0.965388i \(0.583993\pi\)
−0.965388 + 0.260820i \(0.916007\pi\)
\(158\) −1.03584 + 12.1142i −0.0824068 + 0.963756i
\(159\) 0.501212 1.54257i 0.0397487 0.122334i
\(160\) 12.2516 + 3.14606i 0.968576 + 0.248718i
\(161\) 0.310257 + 0.954872i 0.0244517 + 0.0752544i
\(162\) 1.25979 0.293457i 0.0989782 0.0230562i
\(163\) 0.175558 + 0.344553i 0.0137508 + 0.0269874i 0.897780 0.440445i \(-0.145179\pi\)
−0.884029 + 0.467432i \(0.845179\pi\)
\(164\) 3.53643 20.5283i 0.276149 1.60299i
\(165\) −1.56491 + 3.21346i −0.121828 + 0.250167i
\(166\) 6.93983 11.1548i 0.538635 0.865784i
\(167\) 3.08417 4.24499i 0.238660 0.328488i −0.672839 0.739789i \(-0.734926\pi\)
0.911500 + 0.411301i \(0.134926\pi\)
\(168\) −0.472723 0.420615i −0.0364714 0.0324511i
\(169\) −1.51994 + 2.09202i −0.116919 + 0.160925i
\(170\) 2.58735 + 6.05213i 0.198441 + 0.464177i
\(171\) −14.2765 2.26117i −1.09175 0.172916i
\(172\) −14.4208 + 19.2946i −1.09957 + 1.47120i
\(173\) 6.39267 + 3.25723i 0.486026 + 0.247642i 0.679792 0.733405i \(-0.262070\pi\)
−0.193766 + 0.981048i \(0.562070\pi\)
\(174\) −2.32748 + 1.40473i −0.176446 + 0.106492i
\(175\) −0.381517 1.04429i −0.0288400 0.0789412i
\(176\) −1.16347 + 6.24771i −0.0876995 + 0.470939i
\(177\) −1.04317 3.21055i −0.0784096 0.241320i
\(178\) −7.57395 + 17.9412i −0.567692 + 1.34475i
\(179\) −3.40518 + 21.4995i −0.254515 + 1.60695i 0.447163 + 0.894452i \(0.352434\pi\)
−0.701678 + 0.712494i \(0.747566\pi\)
\(180\) −8.88956 + 0.0403458i −0.662589 + 0.00300720i
\(181\) −3.93435 24.8405i −0.292438 1.84638i −0.497287 0.867586i \(-0.665670\pi\)
0.204849 0.978794i \(-0.434330\pi\)
\(182\) −0.297969 + 1.20519i −0.0220869 + 0.0893344i
\(183\) 5.41648 7.45514i 0.400397 0.551100i
\(184\) −12.3552 3.23250i −0.910836 0.238303i
\(185\) −9.37809 12.4296i −0.689491 0.913840i
\(186\) −0.896554 12.4686i −0.0657385 0.914243i
\(187\) −2.94647 + 1.50130i −0.215467 + 0.109786i
\(188\) 6.82510 + 7.01215i 0.497772 + 0.511414i
\(189\) 0.994219 + 0.506580i 0.0723188 + 0.0368483i
\(190\) 21.3426 + 8.55920i 1.54835 + 0.620950i
\(191\) −4.56600 + 14.0527i −0.330384 + 1.01682i 0.638567 + 0.769566i \(0.279528\pi\)
−0.968951 + 0.247252i \(0.920472\pi\)
\(192\) 7.74931 2.17482i 0.559258 0.156954i
\(193\) −13.5598 −0.976057 −0.488029 0.872828i \(-0.662284\pi\)
−0.488029 + 0.872828i \(0.662284\pi\)
\(194\) 0.932159 10.9017i 0.0669251 0.782697i
\(195\) −4.17434 7.83940i −0.298931 0.561391i
\(196\) −1.98883 13.7581i −0.142059 0.982722i
\(197\) 7.46327 + 1.18207i 0.531736 + 0.0842188i 0.416528 0.909123i \(-0.363247\pi\)
0.115208 + 0.993341i \(0.463247\pi\)
\(198\) −0.320322 4.45480i −0.0227643 0.316589i
\(199\) 12.8104i 0.908104i 0.890975 + 0.454052i \(0.150022\pi\)
−0.890975 + 0.454052i \(0.849978\pi\)
\(200\) 13.8019 + 3.08325i 0.975945 + 0.218019i
\(201\) 6.89498i 0.486334i
\(202\) 22.5572 1.62197i 1.58712 0.114121i
\(203\) 0.419625 + 0.0664620i 0.0294519 + 0.00466472i
\(204\) 3.35471 + 2.50731i 0.234877 + 0.175547i
\(205\) 3.22737 23.0647i 0.225409 1.61091i
\(206\) −7.51801 0.642834i −0.523805 0.0447884i
\(207\) 8.97534 0.623829
\(208\) −10.8604 11.4641i −0.753035 0.794892i
\(209\) −3.57007 + 10.9876i −0.246947 + 0.760025i
\(210\) −0.543102 0.453343i −0.0374776 0.0312837i
\(211\) −11.3686 5.79258i −0.782645 0.398778i 0.0165395 0.999863i \(-0.494735\pi\)
−0.799185 + 0.601086i \(0.794735\pi\)
\(212\) 0.0435815 3.22399i 0.00299319 0.221424i
\(213\) −2.00607 + 1.02214i −0.137453 + 0.0700360i
\(214\) −10.2668 + 0.738231i −0.701823 + 0.0504644i
\(215\) −15.4339 + 22.0702i −1.05258 + 1.50517i
\(216\) −12.2498 + 7.16919i −0.833493 + 0.487802i
\(217\) −1.14832 + 1.58053i −0.0779531 + 0.107293i
\(218\) −4.46312 1.10346i −0.302281 0.0747354i
\(219\) 0.873794 + 5.51692i 0.0590455 + 0.372799i
\(220\) −1.07964 + 7.02273i −0.0727895 + 0.473472i
\(221\) 1.28545 8.11602i 0.0864688 0.545942i
\(222\) −9.12764 3.85327i −0.612607 0.258615i
\(223\) 1.28267 + 3.94766i 0.0858940 + 0.264355i 0.984774 0.173841i \(-0.0556178\pi\)
−0.898880 + 0.438195i \(0.855618\pi\)
\(224\) −1.14518 0.520351i −0.0765159 0.0347674i
\(225\) −9.93245 + 0.358828i −0.662163 + 0.0239219i
\(226\) −1.57702 2.61295i −0.104902 0.173811i
\(227\) 2.95958 + 1.50798i 0.196434 + 0.100088i 0.549441 0.835532i \(-0.314841\pi\)
−0.353007 + 0.935621i \(0.614841\pi\)
\(228\) 14.4813 2.09337i 0.959045 0.138637i
\(229\) −12.7529 2.01987i −0.842737 0.133476i −0.279885 0.960034i \(-0.590296\pi\)
−0.562853 + 0.826557i \(0.690296\pi\)
\(230\) −13.9207 3.17618i −0.917905 0.209431i
\(231\) 0.208918 0.287551i 0.0137458 0.0189195i
\(232\) −3.59232 + 4.03736i −0.235847 + 0.265066i
\(233\) −15.2759 + 21.0254i −1.00076 + 1.37742i −0.0758954 + 0.997116i \(0.524181\pi\)
−0.924861 + 0.380307i \(0.875819\pi\)
\(234\) 9.42332 + 5.86259i 0.616022 + 0.383249i
\(235\) 7.87437 + 7.59503i 0.513667 + 0.495445i
\(236\) −3.87070 5.48188i −0.251961 0.356840i
\(237\) 3.92686 + 7.70690i 0.255077 + 0.500617i
\(238\) −0.148492 0.637464i −0.00962532 0.0413206i
\(239\) −4.21590 12.9752i −0.272704 0.839297i −0.989818 0.142341i \(-0.954537\pi\)
0.717114 0.696956i \(-0.245463\pi\)
\(240\) 8.58292 2.70381i 0.554025 0.174530i
\(241\) −5.64491 + 17.3733i −0.363621 + 1.11911i 0.587220 + 0.809428i \(0.300223\pi\)
−0.950840 + 0.309682i \(0.899777\pi\)
\(242\) 11.9430 + 1.02119i 0.767724 + 0.0656449i
\(243\) 11.2958 11.2958i 0.724626 0.724626i
\(244\) 5.89573 17.3439i 0.377435 1.11033i
\(245\) −2.70804 15.3042i −0.173011 0.977748i
\(246\) −5.57840 13.7292i −0.355665 0.875339i
\(247\) −16.8739 23.2249i −1.07366 1.47777i
\(248\) −9.04238 23.1468i −0.574192 1.46982i
\(249\) 9.34611i 0.592286i
\(250\) 15.5322 + 2.95834i 0.982340 + 0.187102i
\(251\) −0.489360 0.489360i −0.0308881 0.0308881i 0.691494 0.722382i \(-0.256953\pi\)
−0.722382 + 0.691494i \(0.756953\pi\)
\(252\) 0.871177 + 0.150079i 0.0548790 + 0.00945407i
\(253\) 1.12222 7.08541i 0.0705533 0.445456i
\(254\) 0.279074 + 0.117812i 0.0175107 + 0.00739219i
\(255\) 3.83730 + 2.68347i 0.240301 + 0.168045i
\(256\) 13.4336 8.69129i 0.839600 0.543205i
\(257\) 18.4340 1.14988 0.574940 0.818195i \(-0.305025\pi\)
0.574940 + 0.818195i \(0.305025\pi\)
\(258\) −1.45995 + 17.0743i −0.0908926 + 1.06300i
\(259\) 0.702949 + 1.37961i 0.0436791 + 0.0857251i
\(260\) −12.5409 12.4276i −0.777752 0.770724i
\(261\) 1.72425 3.38403i 0.106728 0.209466i
\(262\) −1.20460 + 1.93623i −0.0744203 + 0.119621i
\(263\) 6.35852 + 2.06601i 0.392083 + 0.127396i 0.498422 0.866934i \(-0.333913\pi\)
−0.106339 + 0.994330i \(0.533913\pi\)
\(264\) 1.64511 + 4.21118i 0.101250 + 0.259180i
\(265\) −0.0650842 3.60427i −0.00399809 0.221408i
\(266\) −1.94159 1.20793i −0.119046 0.0740631i
\(267\) 2.16729 + 13.6837i 0.132636 + 0.837431i
\(268\) 4.05896 + 13.0917i 0.247940 + 0.799704i
\(269\) 3.45316 0.546927i 0.210543 0.0333467i −0.0502719 0.998736i \(-0.516009\pi\)
0.260815 + 0.965389i \(0.416009\pi\)
\(270\) −13.4358 + 8.44374i −0.817679 + 0.513870i
\(271\) 5.62934 4.08996i 0.341958 0.248447i −0.403529 0.914967i \(-0.632217\pi\)
0.745488 + 0.666519i \(0.232217\pi\)
\(272\) 7.84571 + 2.78586i 0.475716 + 0.168917i
\(273\) 0.272924 + 0.839974i 0.0165181 + 0.0508375i
\(274\) −20.2617 + 12.2288i −1.22405 + 0.738769i
\(275\) −0.958619 + 7.88584i −0.0578069 + 0.475534i
\(276\) −8.67796 + 2.69051i −0.522352 + 0.161950i
\(277\) 2.93989 5.76985i 0.176641 0.346677i −0.785663 0.618655i \(-0.787678\pi\)
0.962303 + 0.271978i \(0.0876779\pi\)
\(278\) 3.87723 + 9.54236i 0.232541 + 0.572313i
\(279\) 10.2654 + 14.1291i 0.614573 + 0.845887i
\(280\) −1.29808 0.541063i −0.0775752 0.0323347i
\(281\) 7.19339 9.90085i 0.429121 0.590635i −0.538630 0.842542i \(-0.681058\pi\)
0.967751 + 0.251908i \(0.0810579\pi\)
\(282\) 6.75790 + 1.67081i 0.402427 + 0.0994955i
\(283\) −2.39703 15.1343i −0.142489 0.899639i −0.950557 0.310550i \(-0.899487\pi\)
0.808068 0.589089i \(-0.200513\pi\)
\(284\) −3.20727 + 3.12171i −0.190316 + 0.185240i
\(285\) 16.1086 2.85038i 0.954191 0.168842i
\(286\) 5.80633 6.70603i 0.343336 0.396536i
\(287\) −0.715670 + 2.20261i −0.0422447 + 0.130016i
\(288\) −7.58751 + 8.29886i −0.447099 + 0.489015i
\(289\) −3.91455 12.0477i −0.230267 0.708690i
\(290\) −3.87184 + 4.63844i −0.227362 + 0.272379i
\(291\) −3.53382 6.93551i −0.207156 0.406567i
\(292\) 4.90682 + 9.96077i 0.287150 + 0.582910i
\(293\) −2.76947 2.76947i −0.161794 0.161794i 0.621567 0.783361i \(-0.286496\pi\)
−0.783361 + 0.621567i \(0.786496\pi\)
\(294\) −6.37169 7.56321i −0.371605 0.441095i
\(295\) −4.51889 5.98927i −0.263100 0.348709i
\(296\) −19.5993 1.94304i −1.13919 0.112937i
\(297\) −4.68626 6.45008i −0.271924 0.374272i
\(298\) −2.85641 + 0.205389i −0.165467 + 0.0118979i
\(299\) 12.6047 + 12.6047i 0.728948 + 0.728948i
\(300\) 9.49579 3.32436i 0.548240 0.191932i
\(301\) 1.89372 1.89372i 0.109152 0.109152i
\(302\) 12.0422 + 10.4266i 0.692951 + 0.599983i
\(303\) 13.0162 9.45679i 0.747759 0.543279i
\(304\) 26.2637 12.4996i 1.50633 0.716903i
\(305\) 5.97621 19.5895i 0.342197 1.12169i
\(306\) −5.82989 0.498489i −0.333273 0.0284967i
\(307\) −22.2457 + 22.2457i −1.26963 + 1.26963i −0.323350 + 0.946280i \(0.604809\pi\)
−0.946280 + 0.323350i \(0.895191\pi\)
\(308\) 0.227403 0.668969i 0.0129575 0.0381180i
\(309\) −4.78285 + 2.43698i −0.272087 + 0.138635i
\(310\) −10.9216 25.5469i −0.620304 1.45096i
\(311\) 2.76777 0.899303i 0.156946 0.0509948i −0.229490 0.973311i \(-0.573706\pi\)
0.386436 + 0.922316i \(0.373706\pi\)
\(312\) −10.8685 2.84353i −0.615308 0.160983i
\(313\) −12.2202 3.97059i −0.690727 0.224431i −0.0574414 0.998349i \(-0.518294\pi\)
−0.633286 + 0.773918i \(0.718294\pi\)
\(314\) 2.20385 + 30.6495i 0.124370 + 1.72965i
\(315\) 0.978817 + 0.136963i 0.0551501 + 0.00771697i
\(316\) 11.9930 + 12.3217i 0.674658 + 0.693148i
\(317\) −19.8825 + 3.14908i −1.11671 + 0.176870i −0.687395 0.726284i \(-0.741246\pi\)
−0.429317 + 0.903154i \(0.641246\pi\)
\(318\) −1.18526 1.96383i −0.0664659 0.110126i
\(319\) −2.45587 1.78429i −0.137502 0.0999012i
\(320\) 14.7050 10.1864i 0.822034 0.569439i
\(321\) −5.92424 + 4.30421i −0.330659 + 0.240238i
\(322\) 1.30810 + 0.552221i 0.0728977 + 0.0307741i
\(323\) 13.4856 + 6.87124i 0.750357 + 0.382326i
\(324\) 0.852443 1.61855i 0.0473579 0.0899194i
\(325\) −14.4527 13.4449i −0.801694 0.745789i
\(326\) 0.530892 + 0.131257i 0.0294034 + 0.00726965i
\(327\) −3.11064 + 1.01071i −0.172019 + 0.0558923i
\(328\) −18.6740 22.7841i −1.03110 1.25804i
\(329\) −0.639471 0.880156i −0.0352552 0.0485246i
\(330\) 1.98700 + 4.64783i 0.109381 + 0.255855i
\(331\) −1.50582 9.50734i −0.0827671 0.522571i −0.993885 0.110424i \(-0.964779\pi\)
0.911117 0.412147i \(-0.135221\pi\)
\(332\) −5.50190 17.7458i −0.301956 0.973926i
\(333\) 13.6713 2.16532i 0.749182 0.118659i
\(334\) −1.68348 7.22704i −0.0921160 0.395446i
\(335\) 4.99784 + 14.4864i 0.273061 + 0.791479i
\(336\) −0.887301 + 0.116044i −0.0484062 + 0.00633074i
\(337\) −0.505396 + 1.55545i −0.0275307 + 0.0847308i −0.963878 0.266345i \(-0.914184\pi\)
0.936347 + 0.351076i \(0.114184\pi\)
\(338\) 0.829656 + 3.56164i 0.0451273 + 0.193728i
\(339\) −1.93456 0.985707i −0.105071 0.0535362i
\(340\) 8.86572 + 2.83623i 0.480811 + 0.153816i
\(341\) 12.4375 6.33720i 0.673526 0.343179i
\(342\) −15.6333 + 13.1704i −0.845353 + 0.712175i
\(343\) 3.10205i 0.167495i
\(344\) 7.27929 + 33.2790i 0.392473 + 1.79428i
\(345\) −9.60246 + 3.31286i −0.516979 + 0.178358i
\(346\) 9.40017 3.81945i 0.505356 0.205335i
\(347\) 12.3553 + 1.95688i 0.663266 + 0.105051i 0.478986 0.877823i \(-0.341005\pi\)
0.184281 + 0.982874i \(0.441005\pi\)
\(348\) −0.652697 + 3.78878i −0.0349882 + 0.203100i
\(349\) −14.2458 + 14.2458i −0.762562 + 0.762562i −0.976785 0.214222i \(-0.931278\pi\)
0.214222 + 0.976785i \(0.431278\pi\)
\(350\) −1.46967 0.558811i −0.0785573 0.0298697i
\(351\) 19.8111 1.05744
\(352\) 5.60268 + 7.02745i 0.298624 + 0.374564i
\(353\) 16.1360 11.7235i 0.858833 0.623979i −0.0687342 0.997635i \(-0.521896\pi\)
0.927567 + 0.373656i \(0.121896\pi\)
\(354\) −4.39821 1.85672i −0.233762 0.0986837i
\(355\) −3.47387 + 3.60164i −0.184374 + 0.191155i
\(356\) 12.1705 + 24.7059i 0.645035 + 1.30941i
\(357\) −0.329258 0.329258i −0.0174262 0.0174262i
\(358\) 19.8339 + 23.5428i 1.04825 + 1.24428i
\(359\) 24.4363 + 7.93984i 1.28970 + 0.419049i 0.871986 0.489530i \(-0.162832\pi\)
0.417713 + 0.908579i \(0.362832\pi\)
\(360\) −8.18598 + 9.54157i −0.431439 + 0.502885i
\(361\) 32.2184 10.4684i 1.69571 0.550969i
\(362\) −30.2001 18.7886i −1.58728 0.987506i
\(363\) 7.59795 3.87135i 0.398789 0.203193i
\(364\) 1.01269 + 1.43422i 0.0530793 + 0.0751735i
\(365\) 5.83481 + 10.9577i 0.305408 + 0.573555i
\(366\) −2.95656 12.6923i −0.154542 0.663435i
\(367\) −3.32467 2.41552i −0.173546 0.126089i 0.497621 0.867394i \(-0.334207\pi\)
−0.671168 + 0.741306i \(0.734207\pi\)
\(368\) −14.8933 + 10.2171i −0.776365 + 0.532605i
\(369\) 16.7494 + 12.1692i 0.871941 + 0.633503i
\(370\) −21.9703 1.47958i −1.14218 0.0769196i
\(371\) −0.0560780 + 0.354063i −0.00291143 + 0.0183820i
\(372\) −14.1607 10.5837i −0.734198 0.548740i
\(373\) −2.29938 + 4.51278i −0.119057 + 0.233663i −0.942842 0.333239i \(-0.891858\pi\)
0.823785 + 0.566902i \(0.191858\pi\)
\(374\) −1.12245 + 4.53996i −0.0580407 + 0.234756i
\(375\) 10.4940 4.05004i 0.541908 0.209143i
\(376\) 13.8150 0.805834i 0.712456 0.0415577i
\(377\) 7.17391 2.33094i 0.369475 0.120050i
\(378\) 1.46196 0.594020i 0.0751952 0.0305531i
\(379\) 25.6897 + 4.06884i 1.31959 + 0.209002i 0.776204 0.630481i \(-0.217142\pi\)
0.543385 + 0.839484i \(0.317142\pi\)
\(380\) 28.9079 14.8950i 1.48295 0.764096i
\(381\) 0.212849 0.0337120i 0.0109046 0.00172712i
\(382\) 10.7976 + 17.8904i 0.552454 + 0.915352i
\(383\) 26.0652 + 18.9374i 1.33187 + 0.967658i 0.999701 + 0.0244370i \(0.00777931\pi\)
0.332166 + 0.943221i \(0.392221\pi\)
\(384\) 4.84838 10.2984i 0.247418 0.525537i
\(385\) 0.230507 0.755583i 0.0117477 0.0385081i
\(386\) −12.5524 + 14.4974i −0.638900 + 0.737899i
\(387\) −10.8690 21.3316i −0.552503 1.08435i
\(388\) −10.7926 11.0884i −0.547911 0.562927i
\(389\) 2.01657 3.95775i 0.102244 0.200666i −0.834217 0.551436i \(-0.814080\pi\)
0.936462 + 0.350770i \(0.114080\pi\)
\(390\) −12.2457 2.79400i −0.620083 0.141480i
\(391\) −8.93810 2.90416i −0.452019 0.146870i
\(392\) −16.5505 10.6096i −0.835925 0.535866i
\(393\) 1.62227i 0.0818329i
\(394\) 8.17259 6.88507i 0.411729 0.346865i
\(395\) 13.8368 + 13.3459i 0.696202 + 0.671505i
\(396\) −5.05935 3.78136i −0.254242 0.190021i
\(397\) −0.939687 + 5.93295i −0.0471616 + 0.297766i −0.999983 0.00576382i \(-0.998165\pi\)
0.952822 + 0.303530i \(0.0981653\pi\)
\(398\) 13.6962 + 11.8586i 0.686526 + 0.594420i
\(399\) −1.62676 −0.0814401
\(400\) 16.0730 11.9021i 0.803648 0.595104i
\(401\) −39.0974 −1.95243 −0.976217 0.216798i \(-0.930439\pi\)
−0.976217 + 0.216798i \(0.930439\pi\)
\(402\) 7.37173 + 6.38272i 0.367668 + 0.318341i
\(403\) −5.42607 + 34.2588i −0.270292 + 1.70655i
\(404\) 19.1472 25.6183i 0.952607 1.27456i
\(405\) 0.895461 1.83878i 0.0444958 0.0913696i
\(406\) 0.459506 0.387115i 0.0228049 0.0192122i
\(407\) 11.0633i 0.548385i
\(408\) 5.78615 1.26564i 0.286457 0.0626584i
\(409\) 12.1463 + 3.94658i 0.600597 + 0.195146i 0.593506 0.804829i \(-0.297743\pi\)
0.00709008 + 0.999975i \(0.497743\pi\)
\(410\) −21.6719 24.8016i −1.07030 1.22486i
\(411\) −7.64352 + 15.0012i −0.377027 + 0.739957i
\(412\) −7.64674 + 7.44277i −0.376728 + 0.366679i
\(413\) 0.338720 + 0.664776i 0.0166673 + 0.0327115i
\(414\) 8.30852 9.59594i 0.408342 0.471615i
\(415\) −6.77456 19.6363i −0.332550 0.963908i
\(416\) −22.3103 + 0.998990i −1.09385 + 0.0489795i
\(417\) 5.92810 + 4.30701i 0.290300 + 0.210915i
\(418\) 8.44245 + 13.9882i 0.412934 + 0.684183i
\(419\) 14.2738 2.26074i 0.697319 0.110444i 0.202296 0.979324i \(-0.435160\pi\)
0.495023 + 0.868880i \(0.335160\pi\)
\(420\) −0.987442 + 0.160993i −0.0481822 + 0.00785564i
\(421\) 4.86788 + 0.770997i 0.237246 + 0.0375761i 0.273925 0.961751i \(-0.411678\pi\)
−0.0366791 + 0.999327i \(0.511678\pi\)
\(422\) −16.7171 + 6.79243i −0.813773 + 0.330650i
\(423\) −9.24955 + 3.00536i −0.449728 + 0.146126i
\(424\) −3.40656 3.03106i −0.165437 0.147201i
\(425\) 10.0073 + 2.85652i 0.485427 + 0.138561i
\(426\) −0.764209 + 3.09098i −0.0370260 + 0.149758i
\(427\) −0.924626 + 1.81468i −0.0447458 + 0.0878186i
\(428\) −8.71473 + 11.6601i −0.421243 + 0.563610i
\(429\) 0.987183 6.23283i 0.0476617 0.300924i
\(430\) 9.30897 + 36.9316i 0.448918 + 1.78100i
\(431\) −4.96696 3.60871i −0.239250 0.173825i 0.461699 0.887037i \(-0.347240\pi\)
−0.700949 + 0.713211i \(0.747240\pi\)
\(432\) −3.67480 + 19.7334i −0.176804 + 0.949422i
\(433\) −4.38014 3.18236i −0.210496 0.152935i 0.477542 0.878609i \(-0.341528\pi\)
−0.688038 + 0.725674i \(0.741528\pi\)
\(434\) 0.626806 + 2.69082i 0.0300877 + 0.129164i
\(435\) −0.595655 + 4.25691i −0.0285595 + 0.204103i
\(436\) −5.31129 + 3.75025i −0.254364 + 0.179604i
\(437\) −29.2546 + 14.9059i −1.39944 + 0.713048i
\(438\) 6.70726 + 4.17283i 0.320485 + 0.199385i
\(439\) 22.7245 7.38364i 1.08458 0.352402i 0.288432 0.957501i \(-0.406866\pi\)
0.796151 + 0.605098i \(0.206866\pi\)
\(440\) 6.50888 + 7.65527i 0.310299 + 0.364951i
\(441\) 13.1400 + 4.26945i 0.625715 + 0.203307i
\(442\) −7.48725 8.88737i −0.356132 0.422729i
\(443\) −7.20169 7.20169i −0.342163 0.342163i 0.515017 0.857180i \(-0.327786\pi\)
−0.857180 + 0.515017i \(0.827786\pi\)
\(444\) −12.5692 + 6.19178i −0.596508 + 0.293849i
\(445\) 14.4722 + 27.1788i 0.686048 + 1.28840i
\(446\) 5.40799 + 2.28301i 0.256076 + 0.108103i
\(447\) −1.64823 + 1.19751i −0.0779588 + 0.0566404i
\(448\) −1.61643 + 0.742676i −0.0763693 + 0.0350882i
\(449\) 4.67456 0.220606 0.110303 0.993898i \(-0.464818\pi\)
0.110303 + 0.993898i \(0.464818\pi\)
\(450\) −8.81088 + 10.9514i −0.415349 + 0.516254i
\(451\) 11.7010 11.7010i 0.550977 0.550977i
\(452\) −4.25348 0.732752i −0.200067 0.0344657i
\(453\) 11.1925 + 1.77271i 0.525868 + 0.0832893i
\(454\) 4.35195 1.76827i 0.204247 0.0829892i
\(455\) 1.18227 + 1.56697i 0.0554259 + 0.0734605i
\(456\) 11.1673 17.4204i 0.522955 0.815785i
\(457\) 21.8366i 1.02147i 0.859737 + 0.510737i \(0.170627\pi\)
−0.859737 + 0.510737i \(0.829373\pi\)
\(458\) −13.9650 + 11.7649i −0.652541 + 0.549739i
\(459\) −9.30641 + 4.74185i −0.434386 + 0.221331i
\(460\) −16.2823 + 11.9430i −0.759165 + 0.556847i
\(461\) −23.0075 11.7229i −1.07156 0.545989i −0.173041 0.984915i \(-0.555359\pi\)
−0.898524 + 0.438925i \(0.855359\pi\)
\(462\) −0.114037 0.489551i −0.00530548 0.0227760i
\(463\) 6.92978 21.3277i 0.322054 0.991180i −0.650699 0.759336i \(-0.725524\pi\)
0.972753 0.231844i \(-0.0744760\pi\)
\(464\) 0.991093 + 7.57811i 0.0460103 + 0.351805i
\(465\) −16.1978 11.3273i −0.751154 0.525290i
\(466\) 8.33828 + 35.7955i 0.386263 + 1.65819i
\(467\) 41.9966 6.65160i 1.94337 0.307800i 0.943638 0.330978i \(-0.107379\pi\)
0.999731 + 0.0231790i \(0.00737876\pi\)
\(468\) 14.9912 4.64786i 0.692967 0.214847i
\(469\) −0.238389 1.50513i −0.0110078 0.0695005i
\(470\) 15.4095 1.38808i 0.710789 0.0640274i
\(471\) 12.8494 + 17.6857i 0.592070 + 0.814914i
\(472\) −9.44405 0.936267i −0.434698 0.0430952i
\(473\) −18.1988 + 5.91316i −0.836783 + 0.271887i
\(474\) 11.8749 + 2.93593i 0.545432 + 0.134852i
\(475\) 31.7783 17.6651i 1.45809 0.810528i
\(476\) −0.819001 0.431344i −0.0375388 0.0197706i
\(477\) 2.85531 + 1.45485i 0.130736 + 0.0666132i
\(478\) −17.7751 7.50381i −0.813012 0.343216i
\(479\) −14.8016 + 10.7540i −0.676302 + 0.491362i −0.872129 0.489277i \(-0.837261\pi\)
0.195827 + 0.980638i \(0.437261\pi\)
\(480\) 5.05449 11.6793i 0.230705 0.533085i
\(481\) 22.2404 + 16.1586i 1.01408 + 0.736769i
\(482\) 13.3490 + 22.1177i 0.608030 + 1.00744i
\(483\) 0.997688 0.158018i 0.0453964 0.00719008i
\(484\) 12.1475 11.8235i 0.552159 0.537430i
\(485\) −12.4518 12.0101i −0.565408 0.545350i
\(486\) −1.62026 22.5334i −0.0734966 1.02214i
\(487\) −5.43922 1.76731i −0.246475 0.0800845i 0.183174 0.983080i \(-0.441363\pi\)
−0.429649 + 0.902996i \(0.641363\pi\)
\(488\) −13.0854 22.3587i −0.592350 1.01213i
\(489\) 0.370013 0.120225i 0.0167326 0.00543674i
\(490\) −18.8692 11.2719i −0.852424 0.509211i
\(491\) −17.1622 + 8.74460i −0.774521 + 0.394638i −0.796128 0.605128i \(-0.793122\pi\)
0.0216070 + 0.999767i \(0.493122\pi\)
\(492\) −19.8424 6.74504i −0.894564 0.304090i
\(493\) −2.81207 + 2.81207i −0.126649 + 0.126649i
\(494\) −40.4511 3.45880i −1.81998 0.155619i
\(495\) −5.78716 4.04702i −0.260114 0.181900i
\(496\) −33.1178 11.7595i −1.48703 0.528017i
\(497\) 0.402572 0.292486i 0.0180578 0.0131198i
\(498\) −9.99235 8.65175i −0.447768 0.387694i
\(499\) 13.1734 13.1734i 0.589721 0.589721i −0.347835 0.937556i \(-0.613083\pi\)
0.937556 + 0.347835i \(0.113083\pi\)
\(500\) 17.5411 13.8676i 0.784462 0.620177i
\(501\) −3.73285 3.73285i −0.166771 0.166771i
\(502\) −0.976199 + 0.0701934i −0.0435699 + 0.00313289i
\(503\) 22.5262 + 31.0047i 1.00440 + 1.38243i 0.922589 + 0.385784i \(0.126069\pi\)
0.0818062 + 0.996648i \(0.473931\pi\)
\(504\) 0.966909 0.792486i 0.0430696 0.0353001i
\(505\) 20.4923 29.3036i 0.911897 1.30400i
\(506\) −6.53648 7.75881i −0.290582 0.344921i
\(507\) 1.83963 + 1.83963i 0.0817008 + 0.0817008i
\(508\) 0.384298 0.189311i 0.0170505 0.00839932i
\(509\) −16.0741 31.5472i −0.712472 1.39830i −0.908575 0.417721i \(-0.862829\pi\)
0.196104 0.980583i \(-0.437171\pi\)
\(510\) 6.42122 1.61853i 0.284337 0.0716699i
\(511\) −0.381488 1.17410i −0.0168760 0.0519390i
\(512\) 3.14331 22.4080i 0.138916 0.990304i
\(513\) −11.2761 + 34.7042i −0.497850 + 1.53223i
\(514\) 17.0644 19.7086i 0.752680 0.869309i
\(515\) −8.28238 + 8.58700i −0.364965 + 0.378388i
\(516\) 16.9034 + 17.3667i 0.744131 + 0.764525i
\(517\) 1.21602 + 7.67764i 0.0534805 + 0.337662i
\(518\) 2.12573 + 0.525563i 0.0933993 + 0.0230919i
\(519\) 4.24283 5.83976i 0.186240 0.256337i
\(520\) −24.8960 + 1.90376i −1.09176 + 0.0834852i
\(521\) −11.7847 16.2203i −0.516299 0.710624i 0.468667 0.883375i \(-0.344734\pi\)
−0.984966 + 0.172751i \(0.944734\pi\)
\(522\) −2.02187 4.97609i −0.0884949 0.217797i
\(523\) −1.00896 + 1.98020i −0.0441189 + 0.0865882i −0.912014 0.410160i \(-0.865473\pi\)
0.867895 + 0.496748i \(0.165473\pi\)
\(524\) 0.955005 + 3.08026i 0.0417196 + 0.134562i
\(525\) −1.09776 + 0.214756i −0.0479103 + 0.00937272i
\(526\) 8.09498 4.88566i 0.352958 0.213025i
\(527\) −5.65102 17.3920i −0.246162 0.757609i
\(528\) 6.02524 + 2.13944i 0.262215 + 0.0931074i
\(529\) −2.11361 + 1.53562i −0.0918959 + 0.0667663i
\(530\) −3.91373 3.26690i −0.170002 0.141905i
\(531\) 6.58759 1.04337i 0.285877 0.0452785i
\(532\) −3.08879 + 0.957649i −0.133916 + 0.0415194i
\(533\) 6.43237 + 40.6124i 0.278617 + 1.75912i
\(534\) 16.6362 + 10.3500i 0.719917 + 0.447887i
\(535\) −9.32699 + 13.3374i −0.403241 + 0.576627i
\(536\) 17.7543 + 7.77946i 0.766871 + 0.336022i
\(537\) 20.8281 + 6.76747i 0.898800 + 0.292038i
\(538\) 2.61187 4.19822i 0.112605 0.180998i
\(539\) 5.01337 9.83929i 0.215941 0.423808i
\(540\) −3.41005 + 22.1813i −0.146745 + 0.954530i
\(541\) −4.61091 9.04943i −0.198239 0.389065i 0.770392 0.637571i \(-0.220061\pi\)
−0.968630 + 0.248505i \(0.920061\pi\)
\(542\) 0.838357 9.80468i 0.0360105 0.421147i
\(543\) −25.3033 −1.08587
\(544\) 10.2413 5.80932i 0.439092 0.249072i
\(545\) −5.80288 + 4.37827i −0.248568 + 0.187544i
\(546\) 1.15070 + 0.485773i 0.0492454 + 0.0207892i
\(547\) 4.94296 31.2087i 0.211346 1.33439i −0.622600 0.782540i \(-0.713924\pi\)
0.833946 0.551846i \(-0.186076\pi\)
\(548\) −5.68201 + 32.9830i −0.242724 + 1.40896i
\(549\) 12.8741 + 12.8741i 0.549453 + 0.549453i
\(550\) 7.54371 + 8.32487i 0.321665 + 0.354974i
\(551\) 13.8936i 0.591887i
\(552\) −5.15668 + 11.7686i −0.219483 + 0.500905i
\(553\) −1.12367 1.54660i −0.0477833 0.0657681i
\(554\) −3.44734 8.48435i −0.146463 0.360465i
\(555\) −13.8273 + 7.36278i −0.586935 + 0.312532i
\(556\) 13.7913 + 4.68810i 0.584883 + 0.198820i
\(557\) −27.6812 + 27.6812i −1.17289 + 1.17289i −0.191374 + 0.981517i \(0.561294\pi\)
−0.981517 + 0.191374i \(0.938706\pi\)
\(558\) 24.6088 + 2.10419i 1.04177 + 0.0890776i
\(559\) 14.6934 45.2216i 0.621464 1.91267i
\(560\) −1.78012 + 0.886973i −0.0752236 + 0.0374814i
\(561\) 1.02811 + 3.16420i 0.0434068 + 0.133592i
\(562\) −3.92648 16.8560i −0.165629 0.711029i
\(563\) −16.5228 32.4279i −0.696355 1.36667i −0.919967 0.391995i \(-0.871785\pi\)
0.223612 0.974678i \(-0.428215\pi\)
\(564\) 8.04217 5.67849i 0.338636 0.239108i
\(565\) −4.77902 0.668713i −0.201055 0.0281330i
\(566\) −18.3997 11.4471i −0.773395 0.481157i
\(567\) −0.119545 + 0.164540i −0.00502043 + 0.00691003i
\(568\) 0.368578 + 6.31882i 0.0154652 + 0.265132i
\(569\) 22.1688 30.5127i 0.929363 1.27916i −0.0307451 0.999527i \(-0.509788\pi\)
0.960108 0.279631i \(-0.0902120\pi\)
\(570\) 11.8643 19.8610i 0.496942 0.831887i
\(571\) −44.4715 7.04359i −1.86107 0.294765i −0.878095 0.478487i \(-0.841185\pi\)
−0.982978 + 0.183722i \(0.941185\pi\)
\(572\) −1.79477 12.4156i −0.0750429 0.519123i
\(573\) 13.2456 + 6.74896i 0.553342 + 0.281942i
\(574\) 1.69241 + 2.80412i 0.0706396 + 0.117042i
\(575\) −17.7736 + 13.9207i −0.741208 + 0.580535i
\(576\) 1.84888 + 15.7944i 0.0770366 + 0.658102i
\(577\) −7.59180 23.3651i −0.316051 0.972704i −0.975320 0.220797i \(-0.929134\pi\)
0.659269 0.751907i \(-0.270866\pi\)
\(578\) −16.5045 6.96743i −0.686496 0.289807i
\(579\) −2.13414 + 13.4744i −0.0886917 + 0.559978i
\(580\) 1.37498 + 8.43338i 0.0570930 + 0.350177i
\(581\) 0.323136 + 2.04020i 0.0134059 + 0.0846417i
\(582\) −10.6863 2.64207i −0.442963 0.109517i
\(583\) 1.50551 2.07216i 0.0623521 0.0858202i
\(584\) 15.1918 + 3.97463i 0.628640 + 0.164472i
\(585\) 16.5882 5.72297i 0.685839 0.236616i
\(586\) −5.52468 + 0.397251i −0.228222 + 0.0164103i
\(587\) −8.78899 + 4.47822i −0.362761 + 0.184836i −0.625865 0.779932i \(-0.715254\pi\)
0.263104 + 0.964767i \(0.415254\pi\)
\(588\) −13.9845 0.189040i −0.576710 0.00779590i
\(589\) −56.9245 29.0045i −2.34553 1.19511i
\(590\) −10.5866 0.712944i −0.435842 0.0293514i
\(591\) 2.34924 7.23023i 0.0966349 0.297412i
\(592\) −20.2206 + 19.1558i −0.831060 + 0.787299i
\(593\) −21.3730 −0.877685 −0.438843 0.898564i \(-0.644611\pi\)
−0.438843 + 0.898564i \(0.644611\pi\)
\(594\) −11.2342 0.960586i −0.460943 0.0394133i
\(595\) −0.930438 0.453111i −0.0381442 0.0185758i
\(596\) −2.42460 + 3.24404i −0.0993155 + 0.132881i
\(597\) 12.7297 + 2.01619i 0.520992 + 0.0825170i
\(598\) 25.1445 1.80801i 1.02823 0.0739349i
\(599\) 37.8560i 1.54676i −0.633945 0.773378i \(-0.718566\pi\)
0.633945 0.773378i \(-0.281434\pi\)
\(600\) 5.23608 13.2297i 0.213762 0.540102i
\(601\) 19.2262i 0.784252i 0.919912 + 0.392126i \(0.128260\pi\)
−0.919912 + 0.392126i \(0.871740\pi\)
\(602\) −0.271634 3.77769i −0.0110710 0.153967i
\(603\) −13.4551 2.13108i −0.547933 0.0867841i
\(604\) 22.2951 3.22291i 0.907173 0.131138i
\(605\) 13.1572 13.6412i 0.534918 0.554592i
\(606\) 1.93845 22.6704i 0.0787441 0.920920i
\(607\) −38.6420 −1.56843 −0.784214 0.620490i \(-0.786934\pi\)
−0.784214 + 0.620490i \(0.786934\pi\)
\(608\) 10.9486 39.6507i 0.444023 1.60805i
\(609\) 0.132087 0.406522i 0.00535243 0.0164731i
\(610\) −15.4118 24.5235i −0.624005 0.992929i
\(611\) −17.2104 8.76914i −0.696258 0.354761i
\(612\) −5.92971 + 5.77154i −0.239694 + 0.233301i
\(613\) −3.13511 + 1.59742i −0.126626 + 0.0645192i −0.516156 0.856495i \(-0.672637\pi\)
0.389530 + 0.921014i \(0.372637\pi\)
\(614\) 3.19091 + 44.3768i 0.128775 + 1.79090i
\(615\) −22.4115 6.83712i −0.903718 0.275699i
\(616\) −0.504716 0.862395i −0.0203356 0.0347469i
\(617\) 19.2426 26.4851i 0.774676 1.06625i −0.221173 0.975235i \(-0.570989\pi\)
0.995849 0.0910161i \(-0.0290115\pi\)
\(618\) −1.82202 + 7.36949i −0.0732925 + 0.296444i
\(619\) 7.30745 + 46.1374i 0.293711 + 1.85442i 0.487164 + 0.873311i \(0.338031\pi\)
−0.193453 + 0.981110i \(0.561969\pi\)
\(620\) −37.4235 11.9721i −1.50296 0.480812i
\(621\) 3.54452 22.3792i 0.142237 0.898048i
\(622\) 1.60065 3.79163i 0.0641804 0.152031i
\(623\) −0.946212 2.91214i −0.0379092 0.116673i
\(624\) −13.1012 + 8.98772i −0.524467 + 0.359797i
\(625\) 19.1123 16.1158i 0.764494 0.644631i
\(626\) −15.5574 + 9.38958i −0.621801 + 0.375283i
\(627\) 10.3565 + 5.27689i 0.413598 + 0.210738i
\(628\) 34.8089 + 26.0162i 1.38903 + 1.03816i
\(629\) −14.3152 2.26730i −0.570784 0.0904032i
\(630\) 1.05253 0.919710i 0.0419338 0.0366421i
\(631\) 13.4712 18.5414i 0.536278 0.738123i −0.451793 0.892123i \(-0.649215\pi\)
0.988071 + 0.153999i \(0.0492154\pi\)
\(632\) 24.2756 1.41600i 0.965632 0.0563255i
\(633\) −7.54536 + 10.3853i −0.299901 + 0.412779i
\(634\) −15.0385 + 24.1724i −0.597255 + 0.960007i
\(635\) 0.422763 0.225114i 0.0167768 0.00893337i
\(636\) −3.19682 0.550720i −0.126762 0.0218375i
\(637\) 12.4575 + 24.4493i 0.493585 + 0.968716i
\(638\) −4.18108 + 0.973949i −0.165530 + 0.0385590i
\(639\) −1.37461 4.23062i −0.0543788 0.167361i
\(640\) 2.72172 25.1514i 0.107585 0.994196i
\(641\) 12.4278 38.2487i 0.490867 1.51073i −0.332434 0.943127i \(-0.607870\pi\)
0.823300 0.567606i \(-0.192130\pi\)
\(642\) −0.882275 + 10.3183i −0.0348206 + 0.407231i
\(643\) −3.27447 + 3.27447i −0.129132 + 0.129132i −0.768719 0.639587i \(-0.779106\pi\)
0.639587 + 0.768719i \(0.279106\pi\)
\(644\) 1.80132 0.887357i 0.0709820 0.0349668i
\(645\) 19.5021 + 18.8103i 0.767894 + 0.740653i
\(646\) 19.8300 8.05728i 0.780202 0.317010i
\(647\) −28.4770 39.1952i −1.11954 1.54092i −0.806550 0.591166i \(-0.798668\pi\)
−0.312995 0.949755i \(-0.601332\pi\)
\(648\) −0.941352 2.40968i −0.0369798 0.0946613i
\(649\) 5.33090i 0.209256i
\(650\) −27.7535 + 3.00607i −1.08858 + 0.117908i
\(651\) 1.38984 + 1.38984i 0.0544722 + 0.0544722i
\(652\) 0.631782 0.446095i 0.0247425 0.0174704i
\(653\) 6.35930 40.1510i 0.248859 1.57123i −0.474183 0.880426i \(-0.657256\pi\)
0.723041 0.690805i \(-0.242744\pi\)
\(654\) −1.79894 + 4.26134i −0.0703442 + 0.166632i
\(655\) 1.17591 + 3.40842i 0.0459466 + 0.133178i
\(656\) −41.6461 1.12614i −1.62601 0.0439684i
\(657\) −11.0360 −0.430554
\(658\) −1.53297 0.131078i −0.0597616 0.00510996i
\(659\) −3.24092 6.36067i −0.126248 0.247777i 0.819227 0.573469i \(-0.194403\pi\)
−0.945476 + 0.325692i \(0.894403\pi\)
\(660\) 6.80858 + 2.17813i 0.265024 + 0.0847835i
\(661\) −17.1679 + 33.6940i −0.667755 + 1.31054i 0.269870 + 0.962897i \(0.413019\pi\)
−0.937626 + 0.347647i \(0.886981\pi\)
\(662\) −11.5587 7.19106i −0.449240 0.279489i
\(663\) −7.86259 2.55471i −0.305358 0.0992167i
\(664\) −24.0659 10.5450i −0.933939 0.409226i
\(665\) −3.41785 + 1.17916i −0.132539 + 0.0457260i
\(666\) 10.3405 16.6210i 0.400688 0.644051i
\(667\) −1.34958 8.52089i −0.0522558 0.329930i
\(668\) −9.28515 4.89022i −0.359253 0.189208i
\(669\) 4.12467 0.653283i 0.159469 0.0252574i
\(670\) 20.1146 + 8.06676i 0.777096 + 0.311646i
\(671\) 11.7729 8.55351i 0.454488 0.330204i
\(672\) −0.697311 + 1.05608i −0.0268993 + 0.0407390i
\(673\) −10.0046 30.7909i −0.385647 1.18690i −0.936009 0.351975i \(-0.885510\pi\)
0.550362 0.834926i \(-0.314490\pi\)
\(674\) 1.19515 + 1.98023i 0.0460356 + 0.0762756i
\(675\) −3.02779 + 24.9074i −0.116540 + 0.958687i
\(676\) 4.57592 + 2.41001i 0.175997 + 0.0926925i
\(677\) −2.25860 + 4.43275i −0.0868050 + 0.170364i −0.930328 0.366729i \(-0.880478\pi\)
0.843523 + 0.537093i \(0.180478\pi\)
\(678\) −2.84469 + 1.15585i −0.109250 + 0.0443901i
\(679\) 1.01120 + 1.39180i 0.0388063 + 0.0534123i
\(680\) 11.2394 6.85323i 0.431011 0.262809i
\(681\) 1.96428 2.70361i 0.0752716 0.103602i
\(682\) 4.73803 19.1638i 0.181429 0.733820i
\(683\) −1.47601 9.31914i −0.0564778 0.356587i −0.999702 0.0244289i \(-0.992223\pi\)
0.943224 0.332158i \(-0.107777\pi\)
\(684\) −0.390751 + 28.9062i −0.0149407 + 1.10526i
\(685\) −5.18544 + 37.0582i −0.198125 + 1.41592i
\(686\) 3.31654 + 2.87158i 0.126626 + 0.109638i
\(687\) −4.01429 + 12.3547i −0.153155 + 0.471362i
\(688\) 42.3185 + 23.0239i 1.61338 + 0.877778i
\(689\) 1.96676 + 6.05306i 0.0749275 + 0.230603i
\(690\) −5.34712 + 13.3331i −0.203561 + 0.507584i
\(691\) 16.4461 + 32.2772i 0.625638 + 1.22788i 0.958550 + 0.284925i \(0.0919687\pi\)
−0.332912 + 0.942958i \(0.608031\pi\)
\(692\) 4.61824 13.5858i 0.175559 0.516456i
\(693\) 0.496564 + 0.496564i 0.0188629 + 0.0188629i
\(694\) 13.5295 11.3981i 0.513574 0.432665i
\(695\) 15.5770 + 4.75210i 0.590868 + 0.180257i
\(696\) 3.44655 + 4.20512i 0.130641 + 0.159395i
\(697\) −12.7423 17.5383i −0.482651 0.664312i
\(698\) 2.04341 + 28.4183i 0.0773444 + 1.07565i
\(699\) 18.4888 + 18.4888i 0.699310 + 0.699310i
\(700\) −1.95793 + 1.05400i −0.0740029 + 0.0398374i
\(701\) 14.1146 14.1146i 0.533099 0.533099i −0.388394 0.921493i \(-0.626970\pi\)
0.921493 + 0.388394i \(0.126970\pi\)
\(702\) 18.3393 21.1810i 0.692172 0.799425i
\(703\) −40.9646 + 29.7625i −1.54501 + 1.12251i
\(704\) 12.6998 + 0.515274i 0.478641 + 0.0194201i
\(705\) 8.78652 6.62942i 0.330920 0.249678i
\(706\) 2.40307 28.1042i 0.0904409 1.05772i
\(707\) −2.51438 + 2.51438i −0.0945631 + 0.0945631i
\(708\) −6.05655 + 2.98355i −0.227619 + 0.112129i
\(709\) 3.33483 1.69918i 0.125242 0.0638140i −0.390247 0.920710i \(-0.627610\pi\)
0.515489 + 0.856896i \(0.327610\pi\)
\(710\) 0.634890 + 7.04812i 0.0238270 + 0.264511i
\(711\) −16.2532 + 5.28098i −0.609542 + 0.198052i
\(712\) 37.6805 + 9.85838i 1.41214 + 0.369458i
\(713\) 37.7289 + 12.2589i 1.41296 + 0.459099i
\(714\) −0.656820 + 0.0472285i −0.0245809 + 0.00176748i
\(715\) −2.44380 13.8108i −0.0913929 0.516495i
\(716\) 43.5310 + 0.588446i 1.62683 + 0.0219913i
\(717\) −13.5570 + 2.14722i −0.506296 + 0.0801894i
\(718\) 31.1097 18.7760i 1.16100 0.700714i
\(719\) −5.21026 3.78548i −0.194310 0.141175i 0.486376 0.873749i \(-0.338318\pi\)
−0.680686 + 0.732575i \(0.738318\pi\)
\(720\) 2.62352 + 17.5847i 0.0977728 + 0.655342i
\(721\) 0.959809 0.697342i 0.0357452 0.0259704i
\(722\) 18.6325 44.1368i 0.693431 1.64260i
\(723\) 16.3754 + 8.34368i 0.609007 + 0.310305i
\(724\) −48.0441 + 14.8956i −1.78555 + 0.553591i
\(725\) 1.83415 + 9.37558i 0.0681187 + 0.348200i
\(726\) 2.89443 11.7070i 0.107422 0.434489i
\(727\) 42.6487 13.8574i 1.58175 0.513942i 0.619244 0.785199i \(-0.287439\pi\)
0.962507 + 0.271256i \(0.0874391\pi\)
\(728\) 2.47084 + 0.244955i 0.0915754 + 0.00907863i
\(729\) −7.83399 10.7826i −0.290148 0.399354i
\(730\) 17.1167 + 3.90539i 0.633518 + 0.144545i
\(731\) 3.92160 + 24.7600i 0.145046 + 0.915782i
\(732\) −16.3068 8.58830i −0.602715 0.317433i
\(733\) −49.6484 + 7.86354i −1.83381 + 0.290446i −0.975058 0.221950i \(-0.928758\pi\)
−0.858749 + 0.512397i \(0.828758\pi\)
\(734\) −5.66020 + 1.31850i −0.208922 + 0.0486667i
\(735\) −15.6340 + 0.282312i −0.576668 + 0.0104132i
\(736\) −2.86317 + 25.3811i −0.105538 + 0.935560i
\(737\) −3.36467 + 10.3554i −0.123939 + 0.381446i
\(738\) 28.5157 6.64250i 1.04968 0.244514i
\(739\) −16.3357 8.32346i −0.600919 0.306183i 0.126940 0.991910i \(-0.459484\pi\)
−0.727859 + 0.685727i \(0.759484\pi\)
\(740\) −21.9199 + 22.1198i −0.805793 + 0.813141i
\(741\) −25.7344 + 13.1123i −0.945377 + 0.481693i
\(742\) 0.326632 + 0.387713i 0.0119911 + 0.0142334i
\(743\) 47.2584i 1.73374i 0.498532 + 0.866871i \(0.333873\pi\)
−0.498532 + 0.866871i \(0.666127\pi\)
\(744\) −24.4242 + 5.34243i −0.895433 + 0.195863i
\(745\) −2.59494 + 3.71071i −0.0950713 + 0.135950i
\(746\) 2.69627 + 6.63588i 0.0987175 + 0.242957i
\(747\) 18.2383 + 2.88866i 0.667305 + 0.105691i
\(748\) 3.81481 + 5.40273i 0.139483 + 0.197543i
\(749\) 1.14441 1.14441i 0.0418158 0.0418158i
\(750\) 5.38427 14.9687i 0.196606 0.546581i
\(751\) −25.0772 −0.915081 −0.457541 0.889189i \(-0.651270\pi\)
−0.457541 + 0.889189i \(0.651270\pi\)
\(752\) 11.9271 15.5162i 0.434936 0.565819i
\(753\) −0.563296 + 0.409259i −0.0205277 + 0.0149142i
\(754\) 4.14881 9.82771i 0.151091 0.357904i
\(755\) 24.8005 4.38840i 0.902582 0.159710i
\(756\) 0.718252 2.11294i 0.0261226 0.0768467i
\(757\) 10.5988 + 10.5988i 0.385222 + 0.385222i 0.872979 0.487758i \(-0.162185\pi\)
−0.487758 + 0.872979i \(0.662185\pi\)
\(758\) 28.1312 23.6994i 1.02177 0.860801i
\(759\) −6.86416 2.23030i −0.249153 0.0809548i
\(760\) 10.8353 44.6951i 0.393039 1.62126i
\(761\) −24.7159 + 8.03067i −0.895950 + 0.291112i −0.720564 0.693388i \(-0.756117\pi\)
−0.175385 + 0.984500i \(0.556117\pi\)
\(762\) 0.160993 0.258774i 0.00583215 0.00937440i
\(763\) 0.644088 0.328179i 0.0233176 0.0118809i
\(764\) 29.1228 + 5.01702i 1.05363 + 0.181509i
\(765\) −6.42262 + 6.65884i −0.232210 + 0.240751i
\(766\) 44.3755 10.3369i 1.60335 0.373488i
\(767\) 10.7167 + 7.78613i 0.386957 + 0.281141i
\(768\) −6.52228 14.7169i −0.235352 0.531050i
\(769\) 38.5821 + 28.0316i 1.39131 + 1.01084i 0.995720 + 0.0924160i \(0.0294590\pi\)
0.395587 + 0.918428i \(0.370541\pi\)
\(770\) −0.594446 0.945893i −0.0214223 0.0340876i
\(771\) 2.90127 18.3179i 0.104487 0.659702i
\(772\) 3.88000 + 26.8406i 0.139644 + 0.966016i
\(773\) −5.63155 +