Properties

Label 400.2.bd.a.163.21
Level $400$
Weight $2$
Character 400.163
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bd (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 163.21
Character \(\chi\) \(=\) 400.163
Dual form 400.2.bd.a.27.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.784982 + 1.17635i) q^{2} +(0.494319 + 1.52136i) q^{3} +(-0.767608 - 1.84683i) q^{4} +(-0.776173 - 2.09703i) q^{5} +(-2.17768 - 0.612744i) q^{6} +(0.325173 - 0.325173i) q^{7} +(2.77508 + 0.546750i) q^{8} +(0.356877 - 0.259287i) q^{9} +O(q^{10})\) \(q+(-0.784982 + 1.17635i) q^{2} +(0.494319 + 1.52136i) q^{3} +(-0.767608 - 1.84683i) q^{4} +(-0.776173 - 2.09703i) q^{5} +(-2.17768 - 0.612744i) q^{6} +(0.325173 - 0.325173i) q^{7} +(2.77508 + 0.546750i) q^{8} +(0.356877 - 0.259287i) q^{9} +(3.07613 + 0.733081i) q^{10} +(-0.445299 - 2.81151i) q^{11} +(2.43024 - 2.08073i) q^{12} +(2.52007 + 3.46857i) q^{13} +(0.127263 + 0.637772i) q^{14} +(2.80666 - 2.21744i) q^{15} +(-2.82156 + 2.83528i) q^{16} +(2.50508 + 4.91649i) q^{17} +(0.0248701 + 0.623348i) q^{18} +(7.23952 - 3.68872i) q^{19} +(-3.27707 + 3.04316i) q^{20} +(0.655442 + 0.333965i) q^{21} +(3.65688 + 1.68315i) q^{22} +(-1.02294 - 6.45861i) q^{23} +(0.539971 + 4.49215i) q^{24} +(-3.79511 + 3.25532i) q^{25} +(-6.05847 + 0.241718i) q^{26} +(4.45331 + 3.23552i) q^{27} +(-0.850143 - 0.350933i) q^{28} +(5.16039 + 2.62935i) q^{29} +(0.405312 + 5.04227i) q^{30} +(-4.34364 - 1.41134i) q^{31} +(-1.12042 - 5.54479i) q^{32} +(4.05719 - 2.06724i) q^{33} +(-7.74996 - 0.912502i) q^{34} +(-0.934289 - 0.429508i) q^{35} +(-0.752800 - 0.460061i) q^{36} +(-1.33116 - 1.83219i) q^{37} +(-1.34366 + 11.4118i) q^{38} +(-4.03122 + 5.54850i) q^{39} +(-1.00739 - 6.24381i) q^{40} +(-2.90660 - 4.00060i) q^{41} +(-0.907370 + 0.508875i) q^{42} +4.98111i q^{43} +(-4.85056 + 2.98053i) q^{44} +(-0.820731 - 0.547133i) q^{45} +(8.40059 + 3.86655i) q^{46} +(2.95207 - 5.79376i) q^{47} +(-5.70822 - 2.89106i) q^{48} +6.78853i q^{49} +(-0.850315 - 7.01976i) q^{50} +(-6.24143 + 6.24143i) q^{51} +(4.47144 - 7.31664i) q^{52} +(-2.28499 - 7.03247i) q^{53} +(-7.30187 + 2.69883i) q^{54} +(-5.55020 + 3.11603i) q^{55} +(1.08017 - 0.724592i) q^{56} +(9.19049 + 9.19049i) q^{57} +(-7.14385 + 4.00644i) q^{58} +(-0.982180 + 6.20124i) q^{59} +(-6.24965 - 3.48130i) q^{60} +(1.44384 + 9.11605i) q^{61} +(5.06991 - 4.00178i) q^{62} +(0.0317338 - 0.200360i) q^{63} +(7.40213 + 3.03455i) q^{64} +(5.31771 - 7.97688i) q^{65} +(-0.753016 + 6.39543i) q^{66} +(4.76334 + 1.54770i) q^{67} +(7.15700 - 8.40038i) q^{68} +(9.32018 - 4.74887i) q^{69} +(1.23865 - 0.761896i) q^{70} +(-4.53747 - 13.9649i) q^{71} +(1.13213 - 0.524418i) q^{72} +(12.3177 - 1.95094i) q^{73} +(3.20024 - 0.127682i) q^{74} +(-6.82850 - 4.16455i) q^{75} +(-12.3696 - 10.5387i) q^{76} +(-1.05903 - 0.769427i) q^{77} +(-3.36255 - 9.09760i) q^{78} +(-2.30347 - 7.08936i) q^{79} +(8.13570 + 3.71623i) q^{80} +(-2.31208 + 7.11584i) q^{81} +(6.98774 - 0.278794i) q^{82} +(-1.19492 + 3.67759i) q^{83} +(0.113653 - 1.46684i) q^{84} +(8.36568 - 9.06928i) q^{85} +(-5.85954 - 3.91008i) q^{86} +(-1.44930 + 9.15052i) q^{87} +(0.301452 - 8.04563i) q^{88} +(-0.712776 - 0.517862i) q^{89} +(1.28788 - 0.535980i) q^{90} +(1.94734 + 0.308429i) q^{91} +(-11.1427 + 6.84688i) q^{92} -7.30588i q^{93} +(4.49818 + 8.02067i) q^{94} +(-13.3545 - 12.3184i) q^{95} +(7.88175 - 4.44545i) q^{96} +(-6.83156 - 3.48086i) q^{97} +(-7.98570 - 5.32887i) q^{98} +(-0.887904 - 0.887904i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} - 12q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 10q^{14} + 12q^{15} - 46q^{16} - 16q^{17} + 16q^{18} - 10q^{19} - 2q^{20} + 24q^{21} + 28q^{22} - 16q^{23} + 12q^{24} - 16q^{26} + 6q^{27} - 38q^{28} - 10q^{29} + 34q^{30} - 38q^{32} - 16q^{33} - 10q^{34} + 20q^{35} + 10q^{36} - 10q^{37} - 34q^{38} - 20q^{39} + 8q^{40} + 6q^{42} - 80q^{44} + 8q^{45} - 6q^{46} - 24q^{47} + 100q^{48} - 74q^{50} - 16q^{51} - 16q^{52} - 6q^{53} - 20q^{54} - 16q^{55} - 6q^{56} + 12q^{57} + 62q^{58} - 10q^{59} - 110q^{60} - 6q^{61} + 26q^{62} + 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} - 70q^{67} + 46q^{68} + 2q^{69} + 42q^{70} - 12q^{71} - 96q^{72} + 8q^{73} - 8q^{74} - 14q^{75} - 16q^{76} - 48q^{77} + 148q^{78} - 124q^{80} - 96q^{81} - 10q^{82} - 46q^{83} + 2q^{84} - 18q^{85} + 114q^{86} - 72q^{87} + 6q^{88} - 54q^{90} - 76q^{91} - 6q^{92} - 10q^{94} + 160q^{95} + 24q^{96} - 16q^{97} + 88q^{98} + 12q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.784982 + 1.17635i −0.555066 + 0.831806i
\(3\) 0.494319 + 1.52136i 0.285395 + 0.878355i 0.986280 + 0.165081i \(0.0527886\pi\)
−0.700885 + 0.713274i \(0.747211\pi\)
\(4\) −0.767608 1.84683i −0.383804 0.923415i
\(5\) −0.776173 2.09703i −0.347115 0.937823i
\(6\) −2.17768 0.612744i −0.889035 0.250152i
\(7\) 0.325173 0.325173i 0.122904 0.122904i −0.642980 0.765883i \(-0.722302\pi\)
0.765883 + 0.642980i \(0.222302\pi\)
\(8\) 2.77508 + 0.546750i 0.981139 + 0.193305i
\(9\) 0.356877 0.259287i 0.118959 0.0864288i
\(10\) 3.07613 + 0.733081i 0.972759 + 0.231821i
\(11\) −0.445299 2.81151i −0.134263 0.847702i −0.959252 0.282553i \(-0.908819\pi\)
0.824989 0.565149i \(-0.191181\pi\)
\(12\) 2.43024 2.08073i 0.701551 0.600654i
\(13\) 2.52007 + 3.46857i 0.698941 + 0.962009i 0.999965 + 0.00839265i \(0.00267150\pi\)
−0.301024 + 0.953616i \(0.597329\pi\)
\(14\) 0.127263 + 0.637772i 0.0340124 + 0.170452i
\(15\) 2.80666 2.21744i 0.724677 0.572540i
\(16\) −2.82156 + 2.83528i −0.705389 + 0.708820i
\(17\) 2.50508 + 4.91649i 0.607570 + 1.19242i 0.965921 + 0.258837i \(0.0833392\pi\)
−0.358351 + 0.933587i \(0.616661\pi\)
\(18\) 0.0248701 + 0.623348i 0.00586194 + 0.146925i
\(19\) 7.23952 3.68872i 1.66086 0.846251i 0.665894 0.746047i \(-0.268050\pi\)
0.994967 0.100204i \(-0.0319495\pi\)
\(20\) −3.27707 + 3.04316i −0.732775 + 0.680471i
\(21\) 0.655442 + 0.333965i 0.143029 + 0.0728770i
\(22\) 3.65688 + 1.68315i 0.779649 + 0.358850i
\(23\) −1.02294 6.45861i −0.213298 1.34671i −0.829228 0.558911i \(-0.811219\pi\)
0.615929 0.787801i \(-0.288781\pi\)
\(24\) 0.539971 + 4.49215i 0.110221 + 0.916957i
\(25\) −3.79511 + 3.25532i −0.759022 + 0.651065i
\(26\) −6.05847 + 0.241718i −1.18816 + 0.0474049i
\(27\) 4.45331 + 3.23552i 0.857039 + 0.622675i
\(28\) −0.850143 0.350933i −0.160662 0.0663202i
\(29\) 5.16039 + 2.62935i 0.958260 + 0.488258i 0.861894 0.507088i \(-0.169278\pi\)
0.0963658 + 0.995346i \(0.469278\pi\)
\(30\) 0.405312 + 5.04227i 0.0739995 + 0.920588i
\(31\) −4.34364 1.41134i −0.780142 0.253483i −0.108241 0.994125i \(-0.534522\pi\)
−0.671901 + 0.740641i \(0.734522\pi\)
\(32\) −1.12042 5.54479i −0.198064 0.980189i
\(33\) 4.05719 2.06724i 0.706266 0.359860i
\(34\) −7.74996 0.912502i −1.32911 0.156493i
\(35\) −0.934289 0.429508i −0.157924 0.0726001i
\(36\) −0.752800 0.460061i −0.125467 0.0766768i
\(37\) −1.33116 1.83219i −0.218842 0.301210i 0.685454 0.728116i \(-0.259604\pi\)
−0.904296 + 0.426906i \(0.859604\pi\)
\(38\) −1.34366 + 11.4118i −0.217970 + 1.85124i
\(39\) −4.03122 + 5.54850i −0.645512 + 0.888471i
\(40\) −1.00739 6.24381i −0.159282 0.987233i
\(41\) −2.90660 4.00060i −0.453935 0.624788i 0.519302 0.854591i \(-0.326192\pi\)
−0.973237 + 0.229803i \(0.926192\pi\)
\(42\) −0.907370 + 0.508875i −0.140010 + 0.0785211i
\(43\) 4.98111i 0.759613i 0.925066 + 0.379806i \(0.124009\pi\)
−0.925066 + 0.379806i \(0.875991\pi\)
\(44\) −4.85056 + 2.98053i −0.731250 + 0.449332i
\(45\) −0.820731 0.547133i −0.122347 0.0815618i
\(46\) 8.40059 + 3.86655i 1.23860 + 0.570091i
\(47\) 2.95207 5.79376i 0.430604 0.845107i −0.569135 0.822244i \(-0.692722\pi\)
0.999739 0.0228632i \(-0.00727822\pi\)
\(48\) −5.70822 2.89106i −0.823911 0.417289i
\(49\) 6.78853i 0.969789i
\(50\) −0.850315 7.01976i −0.120253 0.992743i
\(51\) −6.24143 + 6.24143i −0.873974 + 0.873974i
\(52\) 4.47144 7.31664i 0.620077 1.01463i
\(53\) −2.28499 7.03247i −0.313867 0.965983i −0.976218 0.216790i \(-0.930441\pi\)
0.662351 0.749193i \(-0.269559\pi\)
\(54\) −7.30187 + 2.69883i −0.993659 + 0.367265i
\(55\) −5.55020 + 3.11603i −0.748389 + 0.420165i
\(56\) 1.08017 0.724592i 0.144344 0.0968276i
\(57\) 9.19049 + 9.19049i 1.21731 + 1.21731i
\(58\) −7.14385 + 4.00644i −0.938033 + 0.526072i
\(59\) −0.982180 + 6.20124i −0.127869 + 0.807333i 0.837499 + 0.546439i \(0.184017\pi\)
−0.965368 + 0.260893i \(0.915983\pi\)
\(60\) −6.24965 3.48130i −0.806826 0.449434i
\(61\) 1.44384 + 9.11605i 0.184865 + 1.16719i 0.889267 + 0.457389i \(0.151215\pi\)
−0.704402 + 0.709802i \(0.748785\pi\)
\(62\) 5.06991 4.00178i 0.643879 0.508227i
\(63\) 0.0317338 0.200360i 0.00399809 0.0252429i
\(64\) 7.40213 + 3.03455i 0.925266 + 0.379319i
\(65\) 5.31771 7.97688i 0.659581 0.989410i
\(66\) −0.753016 + 6.39543i −0.0926898 + 0.787223i
\(67\) 4.76334 + 1.54770i 0.581934 + 0.189082i 0.585167 0.810913i \(-0.301029\pi\)
−0.00323261 + 0.999995i \(0.501029\pi\)
\(68\) 7.15700 8.40038i 0.867914 1.01870i
\(69\) 9.32018 4.74887i 1.12202 0.571697i
\(70\) 1.23865 0.761896i 0.148047 0.0910640i
\(71\) −4.53747 13.9649i −0.538498 1.65733i −0.735967 0.677017i \(-0.763272\pi\)
0.197469 0.980309i \(-0.436728\pi\)
\(72\) 1.13213 0.524418i 0.133423 0.0618032i
\(73\) 12.3177 1.95094i 1.44168 0.228340i 0.613897 0.789386i \(-0.289601\pi\)
0.827784 + 0.561047i \(0.189601\pi\)
\(74\) 3.20024 0.127682i 0.372020 0.0148427i
\(75\) −6.82850 4.16455i −0.788487 0.480881i
\(76\) −12.3696 10.5387i −1.41888 1.20887i
\(77\) −1.05903 0.769427i −0.120687 0.0876843i
\(78\) −3.36255 9.09760i −0.380734 1.03010i
\(79\) −2.30347 7.08936i −0.259161 0.797616i −0.992981 0.118272i \(-0.962265\pi\)
0.733820 0.679344i \(-0.237735\pi\)
\(80\) 8.13570 + 3.71623i 0.909599 + 0.415488i
\(81\) −2.31208 + 7.11584i −0.256897 + 0.790649i
\(82\) 6.98774 0.278794i 0.771666 0.0307876i
\(83\) −1.19492 + 3.67759i −0.131160 + 0.403668i −0.994973 0.100144i \(-0.968070\pi\)
0.863813 + 0.503812i \(0.168070\pi\)
\(84\) 0.113653 1.46684i 0.0124005 0.160046i
\(85\) 8.36568 9.06928i 0.907385 0.983701i
\(86\) −5.85954 3.91008i −0.631851 0.421635i
\(87\) −1.44930 + 9.15052i −0.155381 + 0.981039i
\(88\) 0.301452 8.04563i 0.0321349 0.857667i
\(89\) −0.712776 0.517862i −0.0755541 0.0548933i 0.549367 0.835581i \(-0.314869\pi\)
−0.624921 + 0.780688i \(0.714869\pi\)
\(90\) 1.28788 0.535980i 0.135754 0.0564972i
\(91\) 1.94734 + 0.308429i 0.204137 + 0.0323321i
\(92\) −11.1427 + 6.84688i −1.16171 + 0.713836i
\(93\) 7.30588i 0.757584i
\(94\) 4.49818 + 8.02067i 0.463952 + 0.827269i
\(95\) −13.3545 12.3184i −1.37014 1.26385i
\(96\) 7.88175 4.44545i 0.804428 0.453711i
\(97\) −6.83156 3.48086i −0.693640 0.353427i 0.0713661 0.997450i \(-0.477264\pi\)
−0.765006 + 0.644023i \(0.777264\pi\)
\(98\) −7.98570 5.32887i −0.806677 0.538297i
\(99\) −0.887904 0.887904i −0.0892377 0.0892377i
\(100\) 8.92518 + 4.51011i 0.892518 + 0.451011i
\(101\) −7.29242 + 7.29242i −0.725623 + 0.725623i −0.969745 0.244122i \(-0.921500\pi\)
0.244122 + 0.969745i \(0.421500\pi\)
\(102\) −2.44271 12.2415i −0.241864 1.21209i
\(103\) −4.14264 + 8.13039i −0.408187 + 0.801112i −0.999988 0.00497259i \(-0.998417\pi\)
0.591801 + 0.806084i \(0.298417\pi\)
\(104\) 5.09694 + 11.0034i 0.499796 + 1.07897i
\(105\) 0.191599 1.63370i 0.0186981 0.159433i
\(106\) 10.0663 + 2.83241i 0.977728 + 0.275108i
\(107\) 2.79390 0.270097 0.135048 0.990839i \(-0.456881\pi\)
0.135048 + 0.990839i \(0.456881\pi\)
\(108\) 2.55705 10.7081i 0.246053 1.03039i
\(109\) 0.547509 3.45683i 0.0524418 0.331105i −0.947494 0.319774i \(-0.896393\pi\)
0.999936 0.0113311i \(-0.00360687\pi\)
\(110\) 0.691264 8.97502i 0.0659095 0.855734i
\(111\) 2.12939 2.93086i 0.202113 0.278185i
\(112\) 0.00446273 + 1.83945i 0.000421688 + 0.173812i
\(113\) −19.1586 3.03442i −1.80229 0.285454i −0.837107 0.547039i \(-0.815755\pi\)
−0.965181 + 0.261585i \(0.915755\pi\)
\(114\) −18.0256 + 3.59688i −1.68825 + 0.336879i
\(115\) −12.7499 + 7.15814i −1.18894 + 0.667500i
\(116\) 0.894805 11.5487i 0.0830806 1.07227i
\(117\) 1.79871 + 0.584436i 0.166291 + 0.0540311i
\(118\) −6.52385 6.02325i −0.600569 0.554485i
\(119\) 2.41329 + 0.784125i 0.221226 + 0.0718807i
\(120\) 9.00109 4.61903i 0.821683 0.421658i
\(121\) 2.75533 0.895260i 0.250484 0.0813873i
\(122\) −11.8571 5.45747i −1.07349 0.494096i
\(123\) 4.64954 6.39955i 0.419235 0.577028i
\(124\) 0.727719 + 9.10532i 0.0653511 + 0.817682i
\(125\) 9.77219 + 5.43178i 0.874051 + 0.485834i
\(126\) 0.210783 + 0.194609i 0.0187780 + 0.0173371i
\(127\) 1.32969 + 8.39530i 0.117990 + 0.744963i 0.973755 + 0.227598i \(0.0730871\pi\)
−0.855765 + 0.517365i \(0.826913\pi\)
\(128\) −9.38023 + 6.32544i −0.829103 + 0.559095i
\(129\) −7.57805 + 2.46226i −0.667210 + 0.216790i
\(130\) 5.20931 + 12.5172i 0.456887 + 1.09783i
\(131\) −5.24219 10.2884i −0.458012 0.898900i −0.998348 0.0574503i \(-0.981703\pi\)
0.540336 0.841449i \(-0.318297\pi\)
\(132\) −6.93217 5.90610i −0.603368 0.514060i
\(133\) 1.15462 3.55357i 0.100119 0.308133i
\(134\) −5.55978 + 4.38844i −0.480291 + 0.379104i
\(135\) 3.32845 11.8501i 0.286468 1.01989i
\(136\) 4.26369 + 15.0133i 0.365609 + 1.28738i
\(137\) −16.2024 2.56621i −1.38427 0.219246i −0.580534 0.814236i \(-0.697156\pi\)
−0.803733 + 0.594990i \(0.797156\pi\)
\(138\) −1.72983 + 14.6916i −0.147253 + 1.25063i
\(139\) −1.35723 + 0.214965i −0.115119 + 0.0182331i −0.213728 0.976893i \(-0.568561\pi\)
0.0986090 + 0.995126i \(0.468561\pi\)
\(140\) −0.0760609 + 2.05517i −0.00642832 + 0.173693i
\(141\) 10.2736 + 1.62719i 0.865197 + 0.137034i
\(142\) 19.9894 + 5.62452i 1.67748 + 0.471999i
\(143\) 8.62974 8.62974i 0.721655 0.721655i
\(144\) −0.271799 + 1.74344i −0.0226499 + 0.145287i
\(145\) 1.50848 12.8623i 0.125273 1.06816i
\(146\) −7.37420 + 16.0214i −0.610293 + 1.32594i
\(147\) −10.3278 + 3.35569i −0.851820 + 0.276773i
\(148\) −2.36193 + 3.86483i −0.194149 + 0.317687i
\(149\) 11.6018 + 11.6018i 0.950458 + 0.950458i 0.998829 0.0483716i \(-0.0154032\pi\)
−0.0483716 + 0.998829i \(0.515403\pi\)
\(150\) 10.2592 4.76363i 0.837662 0.388949i
\(151\) −14.4783 −1.17823 −0.589113 0.808051i \(-0.700523\pi\)
−0.589113 + 0.808051i \(0.700523\pi\)
\(152\) 22.1071 6.27828i 1.79312 0.509236i
\(153\) 2.16878 + 1.10505i 0.175336 + 0.0893381i
\(154\) 1.73643 0.641800i 0.139926 0.0517178i
\(155\) 0.411800 + 10.2042i 0.0330766 + 0.819622i
\(156\) 13.3415 + 3.18590i 1.06818 + 0.255077i
\(157\) −1.82289 −0.145482 −0.0727412 0.997351i \(-0.523175\pi\)
−0.0727412 + 0.997351i \(0.523175\pi\)
\(158\) 10.1478 + 2.85532i 0.807313 + 0.227157i
\(159\) 9.56937 6.95256i 0.758901 0.551374i
\(160\) −10.7580 + 6.65327i −0.850492 + 0.525987i
\(161\) −2.43280 1.76753i −0.191731 0.139301i
\(162\) −6.55579 8.30562i −0.515072 0.652551i
\(163\) −10.6247 + 7.71927i −0.832188 + 0.604620i −0.920178 0.391501i \(-0.871956\pi\)
0.0879894 + 0.996121i \(0.471956\pi\)
\(164\) −5.15729 + 8.43889i −0.402716 + 0.658966i
\(165\) −7.48416 6.90353i −0.582641 0.537439i
\(166\) −3.38815 4.29249i −0.262971 0.333162i
\(167\) 5.01230 + 9.83719i 0.387863 + 0.761225i 0.999554 0.0298726i \(-0.00951015\pi\)
−0.611690 + 0.791097i \(0.709510\pi\)
\(168\) 1.63631 + 1.28514i 0.126244 + 0.0991508i
\(169\) −1.66305 + 5.11833i −0.127927 + 0.393718i
\(170\) 4.10176 + 16.9602i 0.314591 + 1.30079i
\(171\) 1.62719 3.19353i 0.124434 0.244215i
\(172\) 9.19927 3.82354i 0.701437 0.291542i
\(173\) −0.885909 + 1.21935i −0.0673544 + 0.0927054i −0.841365 0.540467i \(-0.818248\pi\)
0.774011 + 0.633172i \(0.218248\pi\)
\(174\) −9.62656 8.88788i −0.729788 0.673789i
\(175\) −0.175524 + 2.29261i −0.0132683 + 0.173305i
\(176\) 9.22786 + 6.67029i 0.695576 + 0.502792i
\(177\) −9.91980 + 1.57114i −0.745618 + 0.118094i
\(178\) 1.16870 0.431963i 0.0875981 0.0323770i
\(179\) 2.82237 5.53920i 0.210954 0.414020i −0.761149 0.648577i \(-0.775364\pi\)
0.972102 + 0.234558i \(0.0753642\pi\)
\(180\) −0.380461 + 1.93573i −0.0283579 + 0.144281i
\(181\) 0.0251647 + 0.0493884i 0.00187047 + 0.00367101i 0.891940 0.452154i \(-0.149344\pi\)
−0.890069 + 0.455825i \(0.849344\pi\)
\(182\) −1.89145 + 2.04865i −0.140203 + 0.151856i
\(183\) −13.1550 + 6.70283i −0.972449 + 0.495487i
\(184\) 0.692497 18.4824i 0.0510516 1.36254i
\(185\) −2.80895 + 4.21359i −0.206518 + 0.309789i
\(186\) 8.59429 + 5.73498i 0.630164 + 0.420509i
\(187\) 12.7072 9.23236i 0.929246 0.675137i
\(188\) −12.9661 1.00463i −0.945652 0.0732703i
\(189\) 2.50020 0.395992i 0.181862 0.0288042i
\(190\) 24.9739 6.03984i 1.81179 0.438176i
\(191\) 5.32305 + 7.32655i 0.385162 + 0.530131i 0.956943 0.290276i \(-0.0937471\pi\)
−0.571781 + 0.820407i \(0.693747\pi\)
\(192\) −0.957622 + 12.7613i −0.0691104 + 0.920968i
\(193\) 14.4802 + 14.4802i 1.04231 + 1.04231i 0.999065 + 0.0432424i \(0.0137688\pi\)
0.0432424 + 0.999065i \(0.486231\pi\)
\(194\) 9.45736 5.30392i 0.678999 0.380799i
\(195\) 14.7643 + 4.14701i 1.05729 + 0.296974i
\(196\) 12.5372 5.21092i 0.895518 0.372209i
\(197\) −12.9919 + 4.22134i −0.925637 + 0.300758i −0.732777 0.680468i \(-0.761776\pi\)
−0.192860 + 0.981226i \(0.561776\pi\)
\(198\) 1.74148 0.347499i 0.123761 0.0246957i
\(199\) 1.56269i 0.110776i −0.998465 0.0553879i \(-0.982360\pi\)
0.998465 0.0553879i \(-0.0176396\pi\)
\(200\) −12.3116 + 6.95881i −0.870560 + 0.492062i
\(201\) 8.01179i 0.565108i
\(202\) −2.85404 14.3029i −0.200809 1.00635i
\(203\) 2.53301 0.823025i 0.177782 0.0577650i
\(204\) 16.3178 + 6.73588i 1.14248 + 0.471606i
\(205\) −6.13336 + 9.20040i −0.428372 + 0.642584i
\(206\) −6.31231 11.2554i −0.439799 0.784202i
\(207\) −2.03969 2.03969i −0.141769 0.141769i
\(208\) −16.9449 2.64168i −1.17492 0.183168i
\(209\) −13.5946 18.7114i −0.940360 1.29429i
\(210\) 1.77140 + 1.50781i 0.122239 + 0.104049i
\(211\) −5.07614 + 0.803981i −0.349456 + 0.0553484i −0.328695 0.944436i \(-0.606609\pi\)
−0.0207608 + 0.999784i \(0.506609\pi\)
\(212\) −11.2338 + 9.61816i −0.771540 + 0.660578i
\(213\) 19.0026 13.8062i 1.30204 0.945985i
\(214\) −2.19316 + 3.28661i −0.149922 + 0.224668i
\(215\) 10.4456 3.86621i 0.712382 0.263673i
\(216\) 10.5893 + 11.4137i 0.720508 + 0.776601i
\(217\) −1.87136 + 0.953507i −0.127036 + 0.0647282i
\(218\) 3.63667 + 3.35761i 0.246306 + 0.227406i
\(219\) 9.05695 + 17.7753i 0.612012 + 1.20114i
\(220\) 10.0151 + 7.85839i 0.675221 + 0.529813i
\(221\) −10.7402 + 21.0789i −0.722467 + 1.41792i
\(222\) 1.77619 + 4.80558i 0.119210 + 0.322530i
\(223\) −13.5002 + 2.13822i −0.904039 + 0.143186i −0.591110 0.806591i \(-0.701310\pi\)
−0.312929 + 0.949776i \(0.601310\pi\)
\(224\) −2.16734 1.43868i −0.144812 0.0961261i
\(225\) −0.510327 + 2.14577i −0.0340218 + 0.143051i
\(226\) 18.6087 20.1553i 1.23783 1.34071i
\(227\) −5.36873 + 7.38942i −0.356335 + 0.490453i −0.949123 0.314905i \(-0.898027\pi\)
0.592788 + 0.805359i \(0.298027\pi\)
\(228\) 9.91857 24.0280i 0.656874 1.59129i
\(229\) 5.53936 10.8716i 0.366051 0.718416i −0.632365 0.774670i \(-0.717916\pi\)
0.998416 + 0.0562544i \(0.0179158\pi\)
\(230\) 1.58797 20.6174i 0.104708 1.35947i
\(231\) 0.647076 1.99150i 0.0425745 0.131031i
\(232\) 12.8829 + 10.1181i 0.845803 + 0.664286i
\(233\) 11.7760 + 23.1117i 0.771471 + 1.51410i 0.855597 + 0.517642i \(0.173190\pi\)
−0.0841264 + 0.996455i \(0.526810\pi\)
\(234\) −2.09946 + 1.65714i −0.137246 + 0.108331i
\(235\) −14.4410 1.69363i −0.942030 0.110480i
\(236\) 12.2066 2.94620i 0.794579 0.191781i
\(237\) 9.64680 7.00881i 0.626627 0.455271i
\(238\) −2.81680 + 2.22335i −0.182586 + 0.144119i
\(239\) −8.83764 6.42092i −0.571659 0.415335i 0.264048 0.964509i \(-0.414942\pi\)
−0.835708 + 0.549175i \(0.814942\pi\)
\(240\) −1.63209 + 14.2143i −0.105351 + 0.917529i
\(241\) −13.6890 + 9.94563i −0.881785 + 0.640654i −0.933723 0.357996i \(-0.883460\pi\)
0.0519379 + 0.998650i \(0.483460\pi\)
\(242\) −1.10974 + 3.94400i −0.0713368 + 0.253530i
\(243\) 4.54514 0.291571
\(244\) 15.7275 9.66408i 1.00685 0.618679i
\(245\) 14.2358 5.26907i 0.909490 0.336629i
\(246\) 3.87831 + 10.4930i 0.247272 + 0.669011i
\(247\) 31.0387 + 15.8150i 1.97494 + 1.00628i
\(248\) −11.2823 6.29146i −0.716427 0.399508i
\(249\) −6.18560 −0.391996
\(250\) −14.0607 + 7.23169i −0.889275 + 0.457372i
\(251\) 4.77543 + 4.77543i 0.301422 + 0.301422i 0.841570 0.540148i \(-0.181632\pi\)
−0.540148 + 0.841570i \(0.681632\pi\)
\(252\) −0.394389 + 0.0951906i −0.0248442 + 0.00599644i
\(253\) −17.7029 + 5.75203i −1.11297 + 0.361627i
\(254\) −10.9196 5.02598i −0.685157 0.315358i
\(255\) 17.9329 + 8.24406i 1.12300 + 0.516263i
\(256\) −0.0776355 15.9998i −0.00485222 0.999988i
\(257\) −16.4761 + 16.4761i −1.02775 + 1.02775i −0.0281467 + 0.999604i \(0.508961\pi\)
−0.999604 + 0.0281467i \(0.991039\pi\)
\(258\) 3.05215 10.8473i 0.190018 0.675322i
\(259\) −1.02864 0.162920i −0.0639163 0.0101233i
\(260\) −18.8139 3.69779i −1.16679 0.229327i
\(261\) 2.52338 0.399664i 0.156193 0.0247386i
\(262\) 16.2178 + 1.90953i 1.00194 + 0.117971i
\(263\) −14.3430 2.27171i −0.884428 0.140080i −0.302335 0.953202i \(-0.597766\pi\)
−0.582093 + 0.813122i \(0.697766\pi\)
\(264\) 12.3893 3.51849i 0.762508 0.216548i
\(265\) −12.9738 + 10.2501i −0.796973 + 0.629659i
\(266\) 3.27389 + 4.14773i 0.200735 + 0.254314i
\(267\) 0.435514 1.34037i 0.0266530 0.0820296i
\(268\) −0.798033 9.98510i −0.0487476 0.609937i
\(269\) −11.7597 23.0798i −0.717004 1.40720i −0.905165 0.425061i \(-0.860253\pi\)
0.188161 0.982138i \(-0.439747\pi\)
\(270\) 11.3271 + 13.2175i 0.689343 + 0.804392i
\(271\) −26.3469 + 8.56062i −1.60046 + 0.520021i −0.967221 0.253937i \(-0.918274\pi\)
−0.633238 + 0.773957i \(0.718274\pi\)
\(272\) −21.0078 6.76956i −1.27379 0.410465i
\(273\) 0.493377 + 3.11506i 0.0298606 + 0.188532i
\(274\) 15.7374 17.0453i 0.950730 1.02975i
\(275\) 10.8423 + 9.22040i 0.653817 + 0.556011i
\(276\) −15.9246 13.5675i −0.958548 0.816668i
\(277\) −9.69897 + 13.3495i −0.582754 + 0.802093i −0.993994 0.109435i \(-0.965096\pi\)
0.411240 + 0.911527i \(0.365096\pi\)
\(278\) 0.812530 1.76533i 0.0487323 0.105877i
\(279\) −1.91609 + 0.622575i −0.114713 + 0.0372726i
\(280\) −2.35789 1.70274i −0.140911 0.101758i
\(281\) −15.4192 5.00999i −0.919830 0.298871i −0.189433 0.981894i \(-0.560665\pi\)
−0.730397 + 0.683023i \(0.760665\pi\)
\(282\) −9.97876 + 10.8081i −0.594227 + 0.643613i
\(283\) 15.4852 + 5.03145i 0.920501 + 0.299089i 0.730672 0.682728i \(-0.239207\pi\)
0.189829 + 0.981817i \(0.439207\pi\)
\(284\) −22.3078 + 19.0995i −1.32372 + 1.13335i
\(285\) 12.1394 26.4062i 0.719074 1.56417i
\(286\) 3.37743 + 16.9258i 0.199711 + 1.00084i
\(287\) −2.24603 0.355736i −0.132579 0.0209985i
\(288\) −1.83754 1.68830i −0.108278 0.0994840i
\(289\) −7.90411 + 10.8791i −0.464948 + 0.639946i
\(290\) 13.9465 + 11.8712i 0.818967 + 0.697101i
\(291\) 1.91865 12.1139i 0.112473 0.710129i
\(292\) −13.0582 21.2512i −0.764175 1.24363i
\(293\) 13.2023 0.771285 0.385642 0.922648i \(-0.373980\pi\)
0.385642 + 0.922648i \(0.373980\pi\)
\(294\) 4.15963 14.7832i 0.242594 0.862176i
\(295\) 13.7666 2.75357i 0.801520 0.160319i
\(296\) −2.69233 5.81228i −0.156489 0.337832i
\(297\) 7.11363 13.9613i 0.412775 0.810116i
\(298\) −22.7550 + 4.54061i −1.31816 + 0.263030i
\(299\) 19.8243 19.8243i 1.14647 1.14647i
\(300\) −2.44960 + 15.8078i −0.141428 + 0.912665i
\(301\) 1.61972 + 1.61972i 0.0933592 + 0.0933592i
\(302\) 11.3652 17.0316i 0.653993 0.980056i
\(303\) −14.6991 7.48959i −0.844444 0.430265i
\(304\) −9.96816 + 30.9340i −0.571713 + 1.77419i
\(305\) 17.9960 10.1034i 1.03045 0.578520i
\(306\) −3.00238 + 1.68381i −0.171635 + 0.0962570i
\(307\) 15.1591i 0.865173i −0.901592 0.432587i \(-0.857601\pi\)
0.901592 0.432587i \(-0.142399\pi\)
\(308\) −0.608084 + 2.54646i −0.0346488 + 0.145098i
\(309\) −14.4170 2.28343i −0.820155 0.129900i
\(310\) −12.3270 7.52570i −0.700127 0.427431i
\(311\) 1.84070 + 1.33735i 0.104377 + 0.0758341i 0.638749 0.769415i \(-0.279452\pi\)
−0.534373 + 0.845249i \(0.679452\pi\)
\(312\) −14.2206 + 13.1935i −0.805083 + 0.746932i
\(313\) 0.558695 3.52746i 0.0315793 0.199384i −0.966855 0.255327i \(-0.917817\pi\)
0.998434 + 0.0559436i \(0.0178167\pi\)
\(314\) 1.43093 2.14436i 0.0807523 0.121013i
\(315\) −0.444792 + 0.0889668i −0.0250612 + 0.00501271i
\(316\) −11.3247 + 9.69597i −0.637063 + 0.545441i
\(317\) 1.45132 4.46670i 0.0815142 0.250875i −0.901991 0.431755i \(-0.857895\pi\)
0.983505 + 0.180880i \(0.0578946\pi\)
\(318\) 0.666871 + 16.7146i 0.0373963 + 0.937307i
\(319\) 5.09452 15.6793i 0.285239 0.877874i
\(320\) 0.618224 17.8779i 0.0345598 0.999403i
\(321\) 1.38108 + 4.25052i 0.0770843 + 0.237241i
\(322\) 3.98894 1.47435i 0.222295 0.0821621i
\(323\) 36.2711 + 26.3525i 2.01818 + 1.46629i
\(324\) 14.9165 1.19216i 0.828695 0.0662313i
\(325\) −20.8553 4.95999i −1.15684 0.275131i
\(326\) −0.740413 18.5578i −0.0410077 1.02782i
\(327\) 5.52972 0.875822i 0.305794 0.0484331i
\(328\) −5.87873 12.6912i −0.324598 0.700752i
\(329\) −0.924041 2.84391i −0.0509440 0.156790i
\(330\) 13.9959 3.38486i 0.770449 0.186330i
\(331\) −4.47875 + 2.28204i −0.246174 + 0.125432i −0.572725 0.819748i \(-0.694114\pi\)
0.326551 + 0.945180i \(0.394114\pi\)
\(332\) 7.70912 0.616131i 0.423093 0.0338146i
\(333\) −0.950123 0.308714i −0.0520664 0.0169174i
\(334\) −15.5066 1.82579i −0.848481 0.0999026i
\(335\) −0.451589 11.1902i −0.0246730 0.611384i
\(336\) −2.79625 + 0.916063i −0.152548 + 0.0499753i
\(337\) 3.45980 21.8443i 0.188467 1.18994i −0.694145 0.719835i \(-0.744218\pi\)
0.882613 0.470101i \(-0.155782\pi\)
\(338\) −4.71550 5.97413i −0.256489 0.324950i
\(339\) −4.85401 30.6470i −0.263633 1.66452i
\(340\) −23.1710 8.48833i −1.25662 0.460344i
\(341\) −2.03376 + 12.8407i −0.110134 + 0.695361i
\(342\) 2.47941 + 4.42101i 0.134071 + 0.239061i
\(343\) 4.48365 + 4.48365i 0.242094 + 0.242094i
\(344\) −2.72342 + 13.8230i −0.146837 + 0.745285i
\(345\) −17.1926 15.8588i −0.925619 0.853809i
\(346\) −0.738962 1.99931i −0.0397268 0.107483i
\(347\) −4.15399 12.7847i −0.222998 0.686317i −0.998489 0.0549582i \(-0.982497\pi\)
0.775491 0.631359i \(-0.217503\pi\)
\(348\) 18.0120 4.34740i 0.965542 0.233045i
\(349\) 2.35182 2.35182i 0.125890 0.125890i −0.641354 0.767245i \(-0.721627\pi\)
0.767245 + 0.641354i \(0.221627\pi\)
\(350\) −2.55913 2.00613i −0.136791 0.107232i
\(351\) 23.6003i 1.25969i
\(352\) −15.0903 + 5.61916i −0.804316 + 0.299502i
\(353\) 4.27528 8.39070i 0.227550 0.446592i −0.748798 0.662799i \(-0.769368\pi\)
0.976348 + 0.216207i \(0.0693685\pi\)
\(354\) 5.93865 12.9025i 0.315636 0.685760i
\(355\) −25.7630 + 20.3544i −1.36736 + 1.08030i
\(356\) −0.409270 + 1.71389i −0.0216913 + 0.0908360i
\(357\) 4.05908i 0.214829i
\(358\) 4.30055 + 7.66827i 0.227291 + 0.405281i
\(359\) −12.7823 17.5933i −0.674621 0.928537i 0.325232 0.945634i \(-0.394557\pi\)
−0.999854 + 0.0170975i \(0.994557\pi\)
\(360\) −1.97845 1.96707i −0.104273 0.103674i
\(361\) 27.6361 38.0378i 1.45453 2.00199i
\(362\) −0.0778520 0.00916651i −0.00409181 0.000481781i
\(363\) 2.72402 + 3.74929i 0.142974 + 0.196787i
\(364\) −0.925180 3.83316i −0.0484926 0.200912i
\(365\) −13.6519 24.3164i −0.714572 1.27278i
\(366\) 2.44158 20.7366i 0.127623 1.08392i
\(367\) 5.74586 2.92766i 0.299931 0.152823i −0.297548 0.954707i \(-0.596169\pi\)
0.597480 + 0.801884i \(0.296169\pi\)
\(368\) 21.1983 + 15.3230i 1.10504 + 0.798766i
\(369\) −2.07460 0.674079i −0.107999 0.0350911i
\(370\) −2.75169 6.61190i −0.143054 0.343737i
\(371\) −3.02978 1.54375i −0.157298 0.0801475i
\(372\) −13.4927 + 5.60805i −0.699565 + 0.290764i
\(373\) 5.83882 + 4.24215i 0.302322 + 0.219650i 0.728595 0.684945i \(-0.240174\pi\)
−0.426273 + 0.904595i \(0.640174\pi\)
\(374\) 0.885544 + 22.1954i 0.0457904 + 1.14770i
\(375\) −3.43310 + 17.5520i −0.177285 + 0.906382i
\(376\) 11.3600 14.4641i 0.585846 0.745929i
\(377\) 3.88443 + 24.5253i 0.200058 + 1.26312i
\(378\) −1.49678 + 3.25196i −0.0769861 + 0.167263i
\(379\) 12.8249 + 6.53461i 0.658771 + 0.335660i 0.751215 0.660057i \(-0.229468\pi\)
−0.0924444 + 0.995718i \(0.529468\pi\)
\(380\) −12.4990 + 34.1192i −0.641188 + 1.75028i
\(381\) −12.1150 + 6.17288i −0.620668 + 0.316246i
\(382\) −12.7971 + 0.510573i −0.654757 + 0.0261232i
\(383\) 12.5852 + 24.6999i 0.643075 + 1.26211i 0.950556 + 0.310552i \(0.100514\pi\)
−0.307481 + 0.951554i \(0.599486\pi\)
\(384\) −14.2601 11.1439i −0.727706 0.568684i
\(385\) −0.791528 + 2.81802i −0.0403400 + 0.143620i
\(386\) −28.4005 + 5.66712i −1.44555 + 0.288449i
\(387\) 1.29154 + 1.77765i 0.0656524 + 0.0903628i
\(388\) −1.18458 + 15.2887i −0.0601382 + 0.776164i
\(389\) 5.50782 + 34.7750i 0.279258 + 1.76316i 0.584985 + 0.811044i \(0.301100\pi\)
−0.305727 + 0.952119i \(0.598900\pi\)
\(390\) −16.4681 + 14.1127i −0.833893 + 0.714625i
\(391\) 29.1911 21.2086i 1.47626 1.07256i
\(392\) −3.71163 + 18.8387i −0.187465 + 0.951498i
\(393\) 13.0610 13.0610i 0.658839 0.658839i
\(394\) 5.23266 18.5968i 0.263617 0.936891i
\(395\) −13.0787 + 10.3330i −0.658063 + 0.519912i
\(396\) −0.958245 + 2.32137i −0.0481536 + 0.116653i
\(397\) −2.81242 8.65575i −0.141151 0.434420i 0.855345 0.518060i \(-0.173345\pi\)
−0.996496 + 0.0836400i \(0.973345\pi\)
\(398\) 1.83827 + 1.22668i 0.0921441 + 0.0614879i
\(399\) 5.97699 0.299224
\(400\) 1.47836 19.9453i 0.0739180 0.997264i
\(401\) 22.5853 1.12785 0.563927 0.825825i \(-0.309290\pi\)
0.563927 + 0.825825i \(0.309290\pi\)
\(402\) −9.42469 6.28911i −0.470061 0.313672i
\(403\) −6.05095 18.6229i −0.301419 0.927673i
\(404\) 19.0656 + 7.87013i 0.948547 + 0.391554i
\(405\) 16.7167 0.674619i 0.830661 0.0335221i
\(406\) −1.02020 + 3.62577i −0.0506316 + 0.179944i
\(407\) −4.55845 + 4.55845i −0.225954 + 0.225954i
\(408\) −20.7329 + 13.9079i −1.02643 + 0.688546i
\(409\) −5.59935 + 4.06817i −0.276870 + 0.201158i −0.717551 0.696506i \(-0.754737\pi\)
0.440681 + 0.897664i \(0.354737\pi\)
\(410\) −6.00833 14.4371i −0.296730 0.712999i
\(411\) −4.10504 25.9182i −0.202487 1.27845i
\(412\) 18.1954 + 1.40980i 0.896422 + 0.0694559i
\(413\) 1.69710 + 2.33585i 0.0835086 + 0.114940i
\(414\) 4.00052 0.798276i 0.196615 0.0392331i
\(415\) 8.63950 0.348655i 0.424097 0.0171148i
\(416\) 16.4090 17.8595i 0.804516 0.875633i
\(417\) −0.997944 1.95858i −0.0488695 0.0959119i
\(418\) 32.6827 1.30396i 1.59856 0.0637789i
\(419\) 34.7233 17.6924i 1.69634 0.864331i 0.709103 0.705105i \(-0.249100\pi\)
0.987242 0.159226i \(-0.0508997\pi\)
\(420\) −3.16424 + 0.900191i −0.154399 + 0.0439248i
\(421\) 7.16922 + 3.65290i 0.349406 + 0.178031i 0.619881 0.784696i \(-0.287181\pi\)
−0.270475 + 0.962727i \(0.587181\pi\)
\(422\) 3.03891 6.60244i 0.147932 0.321402i
\(423\) −0.448718 2.83310i −0.0218174 0.137750i
\(424\) −2.49602 20.7650i −0.121217 1.00844i
\(425\) −25.5118 10.5038i −1.23750 0.509508i
\(426\) 1.32426 + 33.1914i 0.0641604 + 1.60813i
\(427\) 3.43379 + 2.49479i 0.166173 + 0.120732i
\(428\) −2.14462 5.15986i −0.103664 0.249411i
\(429\) 17.3948 + 8.86307i 0.839827 + 0.427913i
\(430\) −3.65156 + 15.3226i −0.176094 + 0.738920i
\(431\) 12.5364 + 4.07331i 0.603856 + 0.196205i 0.594959 0.803756i \(-0.297168\pi\)
0.00889644 + 0.999960i \(0.497168\pi\)
\(432\) −21.7389 + 3.49718i −1.04591 + 0.168258i
\(433\) −8.06524 + 4.10945i −0.387591 + 0.197487i −0.636917 0.770932i \(-0.719791\pi\)
0.249327 + 0.968419i \(0.419791\pi\)
\(434\) 0.347325 2.94987i 0.0166722 0.141598i
\(435\) 20.3139 4.06316i 0.973976 0.194813i
\(436\) −6.80446 + 1.64234i −0.325874 + 0.0786537i
\(437\) −31.2296 42.9839i −1.49392 2.05620i
\(438\) −28.0195 3.29910i −1.33882 0.157637i
\(439\) 14.9946 20.6383i 0.715655 0.985014i −0.284002 0.958824i \(-0.591662\pi\)
0.999657 0.0261907i \(-0.00833770\pi\)
\(440\) −17.1059 + 5.61265i −0.815494 + 0.267572i
\(441\) 1.76017 + 2.42267i 0.0838178 + 0.115365i
\(442\) −16.3653 29.1809i −0.778419 1.38799i
\(443\) 4.03731i 0.191818i 0.995390 + 0.0959092i \(0.0305758\pi\)
−0.995390 + 0.0959092i \(0.969424\pi\)
\(444\) −7.04733 1.68288i −0.334452 0.0798657i
\(445\) −0.532737 + 1.89667i −0.0252542 + 0.0899106i
\(446\) 8.08210 17.5594i 0.382699 0.831463i
\(447\) −11.9155 + 23.3855i −0.563584 + 1.10610i
\(448\) 3.39372 1.42022i 0.160338 0.0670989i
\(449\) 15.3104i 0.722543i 0.932461 + 0.361271i \(0.117657\pi\)
−0.932461 + 0.361271i \(0.882343\pi\)
\(450\) −2.12359 2.28472i −0.100107 0.107703i
\(451\) −9.95340 + 9.95340i −0.468687 + 0.468687i
\(452\) 9.10222 + 37.7119i 0.428132 + 1.77382i
\(453\) −7.15688 22.0266i −0.336260 1.03490i
\(454\) −4.47821 12.1161i −0.210173 0.568636i
\(455\) −0.864689 4.32304i −0.0405372 0.202667i
\(456\) 20.4794 + 30.5292i 0.959037 + 1.42966i
\(457\) 7.26913 + 7.26913i 0.340036 + 0.340036i 0.856381 0.516345i \(-0.172708\pi\)
−0.516345 + 0.856381i \(0.672708\pi\)
\(458\) 8.44054 + 15.0502i 0.394401 + 0.703252i
\(459\) −4.75151 + 29.9999i −0.221781 + 1.40027i
\(460\) 23.0068 + 18.0523i 1.07270 + 0.841694i
\(461\) −3.20721 20.2495i −0.149375 0.943115i −0.942536 0.334104i \(-0.891566\pi\)
0.793162 0.609011i \(-0.208434\pi\)
\(462\) 1.83476 + 2.32448i 0.0853607 + 0.108144i
\(463\) 2.15654 13.6159i 0.100223 0.632784i −0.885530 0.464583i \(-0.846204\pi\)
0.985753 0.168201i \(-0.0537957\pi\)
\(464\) −22.0153 + 7.21229i −1.02203 + 0.334822i
\(465\) −15.3207 + 5.67063i −0.710480 + 0.262969i
\(466\) −36.4314 4.28954i −1.68765 0.198709i
\(467\) 6.12495 + 1.99012i 0.283429 + 0.0920916i 0.447282 0.894393i \(-0.352392\pi\)
−0.163853 + 0.986485i \(0.552392\pi\)
\(468\) −0.301349 3.77053i −0.0139299 0.174293i
\(469\) 2.05218 1.04564i 0.0947608 0.0482830i
\(470\) 13.3283 15.6583i 0.614787 0.722263i
\(471\) −0.901088 2.77326i −0.0415200 0.127785i
\(472\) −6.11616 + 16.6719i −0.281519 + 0.767388i
\(473\) 14.0044 2.21809i 0.643925 0.101988i
\(474\) 0.672267 + 16.8498i 0.0308782 + 0.773938i
\(475\) −15.4668 + 37.5661i −0.709666 + 1.72365i
\(476\) −0.404314 5.05884i −0.0185317 0.231871i
\(477\) −2.63888 1.91726i −0.120826 0.0877854i
\(478\) 14.4906 5.35587i 0.662787 0.244972i
\(479\) 6.86460 + 21.1271i 0.313652 + 0.965321i 0.976306 + 0.216395i \(0.0694299\pi\)
−0.662654 + 0.748926i \(0.730570\pi\)
\(480\) −15.4399 13.0779i −0.704730 0.596921i
\(481\) 3.00046 9.23447i 0.136809 0.421056i
\(482\) −0.953960 23.9102i −0.0434517 1.08908i
\(483\) 1.48647 4.57487i 0.0676365 0.208164i
\(484\) −3.76840 4.40141i −0.171291 0.200064i
\(485\) −1.99700 + 17.0278i −0.0906791 + 0.773191i
\(486\) −3.56785 + 5.34669i −0.161841 + 0.242531i
\(487\) −4.48030 + 28.2875i −0.203022 + 1.28183i 0.649993 + 0.759940i \(0.274772\pi\)
−0.853014 + 0.521888i \(0.825228\pi\)
\(488\) −0.977431 + 26.0872i −0.0442462 + 1.18091i
\(489\) −16.9957 12.3481i −0.768574 0.558401i
\(490\) −4.97654 + 20.8824i −0.224817 + 0.943371i
\(491\) −25.1710 3.98670i −1.13595 0.179917i −0.439995 0.898000i \(-0.645020\pi\)
−0.695957 + 0.718083i \(0.745020\pi\)
\(492\) −15.3879 3.67457i −0.693740 0.165662i
\(493\) 31.9577i 1.43930i
\(494\) −42.9688 + 24.0979i −1.93326 + 1.08422i
\(495\) −1.17280 + 2.55113i −0.0527134 + 0.114665i
\(496\) 16.2574 8.33329i 0.729978 0.374176i
\(497\) −6.01646 3.06554i −0.269875 0.137508i
\(498\) 4.85558 7.27644i 0.217584 0.326065i
\(499\) −29.1886 29.1886i −1.30666 1.30666i −0.923811 0.382850i \(-0.874943\pi\)
−0.382850 0.923811i \(-0.625057\pi\)
\(500\) 2.53037 22.2170i 0.113161 0.993577i
\(501\) −12.4882 + 12.4882i −0.557932 + 0.557932i
\(502\) −9.36621 + 1.86896i −0.418034 + 0.0834158i
\(503\) 1.72060 3.37686i 0.0767176 0.150567i −0.849462 0.527650i \(-0.823073\pi\)
0.926179 + 0.377084i \(0.123073\pi\)
\(504\) 0.197611 0.538663i 0.00880228 0.0239940i
\(505\) 20.9526 + 9.63227i 0.932380 + 0.428631i
\(506\) 7.13006 25.3401i 0.316970 1.12650i
\(507\) −8.60888 −0.382334
\(508\) 14.4840 8.90000i 0.642624 0.394874i
\(509\) −1.58717 + 10.0210i −0.0703501 + 0.444173i 0.927221 + 0.374515i \(0.122191\pi\)
−0.997571 + 0.0696580i \(0.977809\pi\)
\(510\) −23.7749 + 14.6240i −1.05277 + 0.647561i
\(511\) 3.37100 4.63978i 0.149124 0.205252i
\(512\) 18.8824 + 12.4682i 0.834490 + 0.551023i
\(513\) 44.1747 + 6.99659i 1.95036 + 0.308907i
\(514\) −6.44825 32.3151i −0.284420 1.42536i
\(515\) 20.2651 + 2.37667i 0.892988 + 0.104729i
\(516\) 10.3643 + 12.1053i 0.456264 + 0.532907i
\(517\) −17.6038 5.71981i −0.774213 0.251557i
\(518\) 0.999111 1.08215i 0.0438984 0.0475468i
\(519\) −2.29299 0.745036i −0.100651 0.0327035i
\(520\) 19.1184 19.2290i 0.838399 0.843248i
\(521\) 7.57317 2.46067i 0.331787 0.107804i −0.138386 0.990378i \(-0.544192\pi\)
0.470173 + 0.882574i \(0.344192\pi\)
\(522\) −1.51066 + 3.28211i −0.0661199 + 0.143654i
\(523\) 5.75992 7.92786i 0.251864 0.346661i −0.664299 0.747467i \(-0.731270\pi\)
0.916163 + 0.400806i \(0.131270\pi\)
\(524\) −14.9769 + 17.5789i −0.654270 + 0.767936i
\(525\) −3.57464 + 0.866245i −0.156010 + 0.0378060i
\(526\) 13.9313 15.0892i 0.607435 0.657919i
\(527\) −3.94234 24.8910i −0.171731 1.08427i
\(528\) −5.58638 + 17.3361i −0.243116 + 0.754457i
\(529\) −18.7929 + 6.10618i −0.817082 + 0.265486i
\(530\) −1.87355 23.3079i −0.0813820 1.01243i
\(531\) 1.25738 + 2.46775i 0.0545657 + 0.107091i
\(532\) −7.44913 + 0.595352i −0.322961 + 0.0258118i
\(533\) 6.55153 20.1635i 0.283778 0.873379i
\(534\) 1.23488 + 1.56449i 0.0534386 + 0.0677020i
\(535\) −2.16855 5.85891i −0.0937547 0.253303i
\(536\) 12.3724 + 6.89935i 0.534408 + 0.298007i
\(537\) 9.82225 + 1.55569i 0.423861 + 0.0671331i
\(538\) 36.3811 + 4.28362i 1.56850 + 0.184680i
\(539\) 19.0860 3.02293i 0.822092 0.130207i
\(540\) −24.4400 + 2.94911i −1.05173 + 0.126910i
\(541\) 24.3139 + 3.85095i 1.04534 + 0.165565i 0.655405 0.755278i \(-0.272498\pi\)
0.389933 + 0.920843i \(0.372498\pi\)
\(542\) 10.6115 37.7131i 0.455803 1.61992i
\(543\) −0.0626980 + 0.0626980i −0.00269063 + 0.00269063i
\(544\) 24.4542 19.3986i 1.04846 0.831710i
\(545\) −7.67407 + 1.53496i −0.328721 + 0.0657503i
\(546\) −4.05170 1.86488i −0.173397 0.0798095i
\(547\) −10.0143 + 3.25384i −0.428180 + 0.139124i −0.515176 0.857084i \(-0.672273\pi\)
0.0869956 + 0.996209i \(0.472273\pi\)
\(548\) 7.69776 + 31.8930i 0.328832 + 1.36240i
\(549\) 2.87894 + 2.87894i 0.122870 + 0.122870i
\(550\) −19.3575 + 5.51656i −0.825405 + 0.235227i
\(551\) 47.0577 2.00472
\(552\) 28.4607 8.08268i 1.21137 0.344022i
\(553\) −3.05429 1.55624i −0.129882 0.0661781i
\(554\) −8.09018 21.8885i −0.343719 0.929953i
\(555\) −7.79889 2.19056i −0.331044 0.0929840i
\(556\) 1.43883 + 2.34157i 0.0610199 + 0.0993048i
\(557\) −5.47232 −0.231870 −0.115935 0.993257i \(-0.536986\pi\)
−0.115935 + 0.993257i \(0.536986\pi\)
\(558\) 0.771727 2.74270i 0.0326698 0.116108i
\(559\) −17.2774 + 12.5527i −0.730754 + 0.530924i
\(560\) 3.85392 1.43709i 0.162858 0.0607281i
\(561\) 20.3271 + 14.7685i 0.858212 + 0.623528i
\(562\) 17.9973 14.2056i 0.759169 0.599227i
\(563\) −13.1811 + 9.57666i −0.555519 + 0.403608i −0.829816 0.558037i \(-0.811555\pi\)
0.274297 + 0.961645i \(0.411555\pi\)
\(564\) −4.88099 20.2227i −0.205527 0.851529i
\(565\) 8.50709 + 42.5315i 0.357896 + 1.78931i
\(566\) −18.0744 + 14.2665i −0.759723 + 0.599665i
\(567\) 1.56205 + 3.06570i 0.0656000 + 0.128747i
\(568\) −4.95652 41.2345i −0.207971 1.73016i
\(569\) −9.60503 + 29.5612i −0.402664 + 1.23927i 0.520167 + 0.854065i \(0.325870\pi\)
−0.922830 + 0.385206i \(0.874130\pi\)
\(570\) 21.5338 + 35.0085i 0.901951 + 1.46635i
\(571\) −3.40066 + 6.67416i −0.142313 + 0.279305i −0.951151 0.308727i \(-0.900097\pi\)
0.808838 + 0.588032i \(0.200097\pi\)
\(572\) −22.5619 9.31341i −0.943361 0.389413i
\(573\) −8.51501 + 11.7199i −0.355720 + 0.489606i
\(574\) 2.18156 2.36288i 0.0910568 0.0986246i
\(575\) 24.9070 + 21.1811i 1.03870 + 0.883314i
\(576\) 3.42847 0.836310i 0.142853 0.0348463i
\(577\) 27.3099 4.32546i 1.13693 0.180071i 0.440536 0.897735i \(-0.354789\pi\)
0.696390 + 0.717664i \(0.254789\pi\)
\(578\) −6.59304 17.8379i −0.274234 0.741958i
\(579\) −14.8717 + 29.1874i −0.618047 + 1.21299i
\(580\) −24.9125 + 7.08733i −1.03443 + 0.294285i
\(581\) 0.807296 + 1.58441i 0.0334923 + 0.0657323i
\(582\) 12.7441 + 11.7662i 0.528260 + 0.487724i
\(583\) −18.7543 + 9.55581i −0.776725 + 0.395761i
\(584\) 35.2493 + 1.32072i 1.45863 + 0.0546516i
\(585\) −0.170527 4.22558i −0.00705042 0.174706i
\(586\) −10.3635 + 15.5305i −0.428114 + 0.641560i
\(587\) −4.25502 + 3.09146i −0.175624 + 0.127598i −0.672124 0.740438i \(-0.734618\pi\)
0.496501 + 0.868036i \(0.334618\pi\)
\(588\) 14.1251 + 16.4978i 0.582508 + 0.680356i
\(589\) −36.6519 + 5.80510i −1.51022 + 0.239195i
\(590\) −7.56733 + 18.3558i −0.311542 + 0.755697i
\(591\) −12.8443 17.6787i −0.528344 0.727204i
\(592\) 8.95072 + 1.39540i 0.367872 + 0.0573507i
\(593\) 7.72481 + 7.72481i 0.317220 + 0.317220i 0.847698 0.530478i \(-0.177988\pi\)
−0.530478 + 0.847698i \(0.677988\pi\)
\(594\) 10.8393 + 19.3275i 0.444743 + 0.793017i
\(595\) −0.228792 5.66937i −0.00937958 0.232422i
\(596\) 12.5209 30.3322i 0.512877 1.24246i
\(597\) 2.37740 0.772465i 0.0973006 0.0316149i
\(598\) 7.75863 + 38.8820i 0.317274 + 1.59000i
\(599\) 2.34239i 0.0957076i 0.998854 + 0.0478538i \(0.0152382\pi\)
−0.998854 + 0.0478538i \(0.984762\pi\)
\(600\) −16.6727 15.2904i −0.680659 0.624229i
\(601\) 43.5639i 1.77701i −0.458868 0.888505i \(-0.651745\pi\)
0.458868 0.888505i \(-0.348255\pi\)
\(602\) −3.17681 + 0.633911i −0.129477 + 0.0258363i
\(603\) 2.10123 0.682730i 0.0855685 0.0278029i
\(604\) 11.1136 + 26.7389i 0.452208 + 1.08799i
\(605\) −4.01600 5.08314i −0.163274 0.206659i
\(606\) 20.3489 11.4122i 0.826619 0.463588i
\(607\) 0.435455 + 0.435455i 0.0176746 + 0.0176746i 0.715889 0.698214i \(-0.246022\pi\)
−0.698214 + 0.715889i \(0.746022\pi\)
\(608\) −28.5645 36.0087i −1.15844 1.46035i
\(609\) 2.50423 + 3.44677i 0.101476 + 0.139670i
\(610\) −2.24136 + 29.1006i −0.0907500 + 1.17825i
\(611\) 27.5355 4.36120i 1.11397 0.176435i
\(612\) 0.376065 4.85362i 0.0152015 0.196196i
\(613\) −13.8278 + 10.0465i −0.558500 + 0.405774i −0.830910 0.556407i \(-0.812179\pi\)
0.272410 + 0.962181i \(0.412179\pi\)
\(614\) 17.8324 + 11.8996i 0.719657 + 0.480228i
\(615\) −17.0289 4.78310i −0.686672 0.192873i
\(616\) −2.51819 2.71424i −0.101461 0.109360i
\(617\) 29.8231 15.1956i 1.20063 0.611753i 0.264837 0.964293i \(-0.414682\pi\)
0.935797 + 0.352540i \(0.114682\pi\)
\(618\) 14.0032 15.1670i 0.563292 0.610107i
\(619\) 4.09777 + 8.04233i 0.164703 + 0.323248i 0.958577 0.284835i \(-0.0919387\pi\)
−0.793873 + 0.608083i \(0.791939\pi\)
\(620\) 18.5293 8.59336i 0.744156 0.345118i
\(621\) 16.3415 32.0719i 0.655760 1.28700i
\(622\) −3.01811 + 1.11552i −0.121015 + 0.0447283i
\(623\) −0.400170 + 0.0633807i −0.0160325 + 0.00253929i
\(624\) −4.35724 27.0850i −0.174429 1.08427i
\(625\) 3.80573 24.7086i 0.152229 0.988345i
\(626\) 3.71097 + 3.42621i 0.148320 + 0.136939i
\(627\) 21.7466 29.9317i 0.868477 1.19536i
\(628\) 1.39926 + 3.36657i 0.0558367 + 0.134341i
\(629\) 5.67327 11.1344i 0.226208 0.443958i
\(630\) 0.244497 0.593069i 0.00974101 0.0236284i
\(631\) 1.90555 5.86467i 0.0758587 0.233469i −0.905936 0.423415i \(-0.860831\pi\)
0.981795 + 0.189946i \(0.0608313\pi\)
\(632\) −2.51621 20.9330i −0.100090 0.832669i
\(633\) −3.73237 7.32519i −0.148348 0.291150i
\(634\) 4.11515 + 5.21354i 0.163434 + 0.207056i
\(635\) 16.5732 9.30461i 0.657686 0.369242i
\(636\) −20.1857 12.3362i −0.800415 0.489161i
\(637\) −23.5465 + 17.1075i −0.932946 + 0.677825i
\(638\) 14.4453 + 18.3009i 0.571895 + 0.724541i
\(639\) −5.24022 3.80725i −0.207300 0.150612i
\(640\) 20.5454 + 14.7610i 0.812127 + 0.583481i
\(641\) 24.9716 18.1429i 0.986320 0.716603i 0.0272079 0.999630i \(-0.491338\pi\)
0.959112 + 0.283026i \(0.0913384\pi\)
\(642\) −6.08423 1.71195i −0.240125 0.0675652i
\(643\) −37.2776 −1.47008 −0.735042 0.678022i \(-0.762838\pi\)
−0.735042 + 0.678022i \(0.762838\pi\)
\(644\) −1.39689 + 5.84973i −0.0550453 + 0.230511i
\(645\) 11.0453 + 13.9803i 0.434909 + 0.550473i
\(646\) −59.4720 + 21.9814i −2.33989 + 0.864845i
\(647\) 6.27264 + 3.19607i 0.246603 + 0.125650i 0.572924 0.819609i \(-0.305809\pi\)
−0.326321 + 0.945259i \(0.605809\pi\)
\(648\) −10.3068 + 18.4829i −0.404889 + 0.726076i
\(649\) 17.8722 0.701546
\(650\) 22.2057 20.6396i 0.870979 0.809553i
\(651\) −2.37567 2.37567i −0.0931099 0.0931099i
\(652\) 22.4118 + 13.6966i 0.877712 + 0.536399i
\(653\) −1.62127 + 0.526783i −0.0634452 + 0.0206146i −0.340568 0.940220i \(-0.610619\pi\)
0.277122 + 0.960835i \(0.410619\pi\)
\(654\) −3.31045 + 7.19240i −0.129449 + 0.281245i
\(655\) −17.5062 + 18.9786i −0.684025 + 0.741556i
\(656\) 19.5440 + 3.04687i 0.763063 + 0.118960i
\(657\) 3.89007 3.89007i 0.151766 0.151766i
\(658\) 4.07079 + 1.14542i 0.158696 + 0.0446530i
\(659\) 36.8320 + 5.83361i 1.43477 + 0.227245i 0.824910 0.565264i \(-0.191226\pi\)
0.609860 + 0.792509i \(0.291226\pi\)
\(660\) −7.00474 + 19.1212i −0.272659 + 0.744290i
\(661\) −25.3882 + 4.02109i −0.987486 + 0.156402i −0.629228 0.777221i \(-0.716629\pi\)
−0.358257 + 0.933623i \(0.616629\pi\)
\(662\) 0.831257 7.05994i 0.0323077 0.274392i
\(663\) −37.3776 5.92004i −1.45163 0.229915i
\(664\) −5.32673 + 9.55228i −0.206717 + 0.370701i
\(665\) −8.34814 + 0.336897i −0.323727 + 0.0130643i
\(666\) 1.10899 0.875345i 0.0429723 0.0339189i
\(667\) 11.7031 36.0186i 0.453148 1.39465i
\(668\) 14.3201 16.8080i 0.554063 0.650320i
\(669\) −9.92639 19.4816i −0.383776 0.753203i
\(670\) 13.5181 + 8.25285i 0.522249 + 0.318835i
\(671\) 24.9869 8.11875i 0.964610 0.313421i
\(672\) 1.11739 4.00847i 0.0431044 0.154630i
\(673\) −3.02942 19.1270i −0.116776 0.737292i −0.974700 0.223516i \(-0.928246\pi\)
0.857925 0.513775i \(-0.171754\pi\)
\(674\) 22.9807 + 21.2173i 0.885184 + 0.817261i
\(675\) −27.4334 + 2.21781i −1.05591 + 0.0853637i
\(676\) 10.7293 0.857508i 0.412664 0.0329811i
\(677\) −15.5181 + 21.3589i −0.596410 + 0.820888i −0.995374 0.0960787i \(-0.969370\pi\)
0.398964 + 0.916967i \(0.369370\pi\)
\(678\) 39.8620 + 18.3473i 1.53089 + 0.704624i
\(679\) −3.35332 + 1.08956i −0.128688 + 0.0418134i
\(680\) 28.1740 20.5940i 1.08043 0.789745i
\(681\) −13.8958 4.51502i −0.532488 0.173016i
\(682\) −13.5087 12.4721i −0.517274 0.477582i
\(683\) −26.8697 8.73049i −1.02814 0.334063i −0.254085 0.967182i \(-0.581774\pi\)
−0.774054 + 0.633119i \(0.781774\pi\)
\(684\) −7.14695 0.553754i −0.273270 0.0211733i
\(685\) 7.19446 + 35.9689i 0.274886 + 1.37430i
\(686\) −8.79394 + 1.75477i −0.335754 + 0.0669974i
\(687\) 19.2778 + 3.05330i 0.735494 + 0.116491i
\(688\) −14.1229 14.0545i −0.538429 0.535823i
\(689\) 18.6343 25.6479i 0.709910 0.977108i
\(690\) 32.1514 7.77570i 1.22398 0.296016i
\(691\) 0.797618 5.03596i 0.0303428 0.191577i −0.967861 0.251486i \(-0.919081\pi\)
0.998204 + 0.0599086i \(0.0190809\pi\)
\(692\) 2.93196 + 0.700141i 0.111456 + 0.0266154i
\(693\) −0.577444 −0.0219353
\(694\) 18.3001 + 5.14918i 0.694662 + 0.195460i
\(695\) 1.50424 + 2.67932i 0.0570590 + 0.101632i
\(696\) −9.02498 + 24.6010i −0.342091 + 0.932499i
\(697\) 12.3876 24.3121i 0.469215 0.920886i
\(698\) 0.920435 + 4.61271i 0.0348390 + 0.174594i
\(699\) −29.3400 + 29.3400i −1.10974 + 1.10974i
\(700\) 4.36879 1.43566i 0.165125 0.0542629i
\(701\) 28.0204 + 28.0204i 1.05831 + 1.05831i 0.998191 + 0.0601240i \(0.0191496\pi\)
0.0601240 + 0.998191i \(0.480850\pi\)
\(702\) −27.7623 18.5258i −1.04782 0.699212i
\(703\) −16.3954 8.35388i −0.618365 0.315073i
\(704\) 5.23550 22.1624i 0.197320 0.835278i
\(705\) −4.56186 22.8072i −0.171810 0.858967i
\(706\) 6.51441 + 11.6158i 0.245173 + 0.437166i
\(707\) 4.74259i 0.178363i
\(708\) 10.5162 + 17.1142i 0.395221 + 0.643190i
\(709\) 17.9321 + 2.84017i 0.673455 + 0.106665i 0.483790 0.875184i \(-0.339260\pi\)
0.189665 + 0.981849i \(0.439260\pi\)
\(710\) −3.72045 46.2842i −0.139626 1.73701i
\(711\) −2.66023 1.93277i −0.0997666 0.0724847i
\(712\) −1.69487 1.82682i −0.0635179 0.0684629i
\(713\) −4.67196 + 29.4976i −0.174966 + 1.10469i
\(714\) −4.77491 3.18630i −0.178696 0.119244i
\(715\) −24.7950 11.3987i −0.927282 0.426287i
\(716\) −12.3964 0.960491i −0.463277 0.0358952i
\(717\) 5.39990 16.6192i 0.201663 0.620654i
\(718\) 30.7297 1.22604i 1.14682 0.0457554i
\(719\) 4.13105 12.7141i 0.154062 0.474155i −0.844002 0.536339i \(-0.819807\pi\)
0.998065 + 0.0621845i \(0.0198067\pi\)
\(720\) 3.86702 0.783238i 0.144115 0.0291895i
\(721\) 1.29671 + 3.99086i 0.0482919 + 0.148627i
\(722\) 23.0521 + 62.3688i 0.857909 + 2.32113i
\(723\) −21.8976 15.9095i −0.814379 0.591681i
\(724\) 0.0718954 0.0843858i 0.00267197 0.00313617i
\(725\) −28.1436 + 6.82007i −1.04523 + 0.253291i
\(726\) −6.54879 + 0.261281i −0.243048 + 0.00969704i
\(727\) −38.3089 + 6.06754i −1.42080 + 0.225033i −0.819082 0.573676i \(-0.805517\pi\)
−0.601718 + 0.798709i \(0.705517\pi\)
\(728\) 5.23539 + 1.92062i 0.194037 + 0.0711830i
\(729\) 9.18298 + 28.2623i 0.340110 + 1.04675i
\(730\) 39.3212 + 3.02855i 1.45534 + 0.112092i
\(731\) −24.4896 + 12.4781i −0.905780 + 0.461518i
\(732\) 22.4769 + 19.1500i 0.830770 + 0.707804i
\(733\) 46.8385 + 15.2188i 1.73002 + 0.562117i 0.993452 0.114247i \(-0.0364456\pi\)
0.736567 + 0.676365i \(0.236446\pi\)
\(734\) −1.06643 + 9.05731i −0.0393628 + 0.334311i
\(735\) 15.0531 + 19.0531i 0.555244 + 0.702784i
\(736\) −34.6655 + 12.9083i −1.27779 + 0.475808i
\(737\) 2.23027 14.0814i 0.0821530 0.518694i
\(738\) 2.42148 1.91132i 0.0891358 0.0703567i
\(739\) 7.70150 + 48.6254i 0.283304 + 1.78871i 0.560764 + 0.827976i \(0.310507\pi\)
−0.277460 + 0.960737i \(0.589493\pi\)
\(740\) 9.93795 + 1.95327i 0.365326 + 0.0718035i
\(741\) −8.71725 + 55.0385i −0.320236 + 2.02189i
\(742\) 4.19432 2.35227i 0.153978 0.0863546i
\(743\) −2.95576 2.95576i −0.108436 0.108436i 0.650807 0.759243i \(-0.274431\pi\)
−0.759243 + 0.650807i \(0.774431\pi\)
\(744\) 3.99449 20.2744i 0.146445 0.743295i
\(745\) 15.3244 33.3344i 0.561442 1.22128i
\(746\) −9.57362 + 3.53849i −0.350515 + 0.129553i
\(747\) 0.527110 + 1.62228i 0.0192859 + 0.0593560i
\(748\) −26.8048 16.3813i −0.980079 0.598959i
\(749\) 0.908501 0.908501i 0.0331959 0.0331959i
\(750\) −17.9524 17.8165i −0.655530 0.650568i
\(751\) 28.2930i 1.03243i 0.856460 + 0.516213i \(0.172659\pi\)
−0.856460 + 0.516213i \(0.827341\pi\)
\(752\) 8.09752 + 24.7174i 0.295286 + 0.901350i
\(753\) −4.90455 + 9.62571i −0.178732 + 0.350781i
\(754\) −31.8996 14.6825i −1.16172 0.534704i
\(755\) 11.2377 + 30.3615i 0.408980 + 1.10497i
\(756\) −2.65050 4.31347i −0.0963977 0.156879i
\(757\) 20.3690i 0.740322i 0.928968 + 0.370161i \(0.120697\pi\)
−0.928968 + 0.370161i \(0.879303\pi\)
\(758\) −17.7543 + 9.95704i −0.644866 + 0.361656i
\(759\) −17.5018 24.0891i −0.635274 0.874379i
\(760\) −30.3247 41.4862i −1.09999 1.50486i
\(761\) −6.86681 + 9.45136i −0.248922 + 0.342612i −0.915133 0.403151i \(-0.867915\pi\)
0.666211 + 0.745763i \(0.267915\pi\)
\(762\) 2.24854 19.0971i 0.0814560 0.691813i
\(763\) −0.946033 1.30210i −0.0342487 0.0471393i
\(764\) 9.44487 15.4547i 0.341704 0.559131i
\(765\) 0.633978 5.40573i 0.0229215 0.195444i
\(766\) −38.9350 4.58431i −1.40678 0.165638i
\(767\) −23.9846 + 12.2208i −0.866034 + 0.441266i
\(768\) 24.3030 8.02712i 0.876960 0.289654i
\(769\) 6.10589 + 1.98392i 0.220184 + 0.0715421i 0.417032 0.908892i \(-0.363070\pi\)
−0.196848 + 0.980434i \(0.563070\pi\)
\(770\) −2.69365 3.14321i −0.0970724 0.113273i
\(771\) −33.2104 16.9216i −1.19604 0.609415i
\(772\) 15.6273 37.8575i 0.562440 1.36252i
\(773\) −21.5664