Properties

Label 230.2.g.b.31.2
Level $230$
Weight $2$
Character 230.31
Analytic conductor $1.837$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \( x^{20} - 5 x^{19} + 12 x^{18} + 16 x^{17} - 49 x^{16} + 59 x^{15} - 197 x^{14} + 42 x^{13} + 1625 x^{12} - 5910 x^{11} + 14651 x^{10} - 22501 x^{9} + 26003 x^{8} - 19607 x^{7} + \cdots + 529 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.2
Root \(-0.905632 + 1.98306i\) of defining polynomial
Character \(\chi\) \(=\) 230.31
Dual form 230.2.g.b.141.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.142315 - 0.989821i) q^{2} +(1.40549 + 3.07760i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-0.654861 - 0.755750i) q^{5} +(3.24630 - 0.953198i) q^{6} +(2.97617 + 1.91267i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-5.53162 + 6.38383i) q^{9} +O(q^{10})\) \(q+(0.142315 - 0.989821i) q^{2} +(1.40549 + 3.07760i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(-0.654861 - 0.755750i) q^{5} +(3.24630 - 0.953198i) q^{6} +(2.97617 + 1.91267i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-5.53162 + 6.38383i) q^{9} +(-0.841254 + 0.540641i) q^{10} +(-0.474502 - 3.30023i) q^{11} +(-0.481500 - 3.34891i) q^{12} +(-2.04439 + 1.31385i) q^{13} +(2.31676 - 2.67368i) q^{14} +(1.40549 - 3.07760i) q^{15} +(0.841254 + 0.540641i) q^{16} +(4.17723 - 1.22655i) q^{17} +(5.53162 + 6.38383i) q^{18} +(-1.70877 - 0.501740i) q^{19} +(0.415415 + 0.909632i) q^{20} +(-1.70344 + 11.8477i) q^{21} -3.33417 q^{22} +(4.72437 - 0.824821i) q^{23} -3.38334 q^{24} +(-0.142315 + 0.989821i) q^{25} +(1.00953 + 2.21057i) q^{26} +(-17.6826 - 5.19209i) q^{27} +(-2.31676 - 2.67368i) q^{28} +(4.26170 - 1.25135i) q^{29} +(-2.84625 - 1.82917i) q^{30} +(0.962566 - 2.10773i) q^{31} +(0.654861 - 0.755750i) q^{32} +(9.48988 - 6.09877i) q^{33} +(-0.619580 - 4.30927i) q^{34} +(-0.503479 - 3.50177i) q^{35} +(7.10608 - 4.56680i) q^{36} +(2.47799 - 2.85975i) q^{37} +(-0.739816 + 1.61997i) q^{38} +(-6.91689 - 4.44521i) q^{39} +(0.959493 - 0.281733i) q^{40} +(-5.45570 - 6.29621i) q^{41} +(11.4847 + 3.37221i) q^{42} +(-1.86625 - 4.08651i) q^{43} +(-0.474502 + 3.30023i) q^{44} +8.44702 q^{45} +(-0.144077 - 4.79367i) q^{46} -6.54226 q^{47} +(-0.481500 + 3.34891i) q^{48} +(2.29140 + 5.01746i) q^{49} +(0.959493 + 0.281733i) q^{50} +(9.64588 + 11.1319i) q^{51} +(2.33174 - 0.684660i) q^{52} +(-6.75825 - 4.34326i) q^{53} +(-7.65574 + 16.7637i) q^{54} +(-2.18342 + 2.51980i) q^{55} +(-2.97617 + 1.91267i) q^{56} +(-0.857508 - 5.96410i) q^{57} +(-0.632108 - 4.39641i) q^{58} +(11.7107 - 7.52602i) q^{59} +(-2.21562 + 2.55696i) q^{60} +(-4.41893 + 9.67611i) q^{61} +(-1.94929 - 1.25273i) q^{62} +(-28.6732 + 8.41922i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(2.33174 + 0.684660i) q^{65} +(-4.68615 - 10.2612i) q^{66} +(0.522775 - 3.63598i) q^{67} -4.35358 q^{68} +(9.17853 + 13.3804i) q^{69} -3.53778 q^{70} +(-1.28444 + 8.93348i) q^{71} +(-3.50902 - 7.68368i) q^{72} +(-2.35015 - 0.690068i) q^{73} +(-2.47799 - 2.85975i) q^{74} +(-3.24630 + 0.953198i) q^{75} +(1.49820 + 0.962832i) q^{76} +(4.90006 - 10.7296i) q^{77} +(-5.38434 + 6.21386i) q^{78} +(-1.93484 + 1.24344i) q^{79} +(-0.142315 - 0.989821i) q^{80} +(-5.26722 - 36.6343i) q^{81} +(-7.00855 + 4.50412i) q^{82} +(0.921369 - 1.06332i) q^{83} +(4.97233 - 10.8879i) q^{84} +(-3.66247 - 2.35373i) q^{85} +(-4.31051 + 1.26568i) q^{86} +(9.84093 + 11.3570i) q^{87} +(3.19911 + 0.939344i) q^{88} +(6.81581 + 14.9245i) q^{89} +(1.20214 - 8.36104i) q^{90} -8.59744 q^{91} +(-4.76538 - 0.539599i) q^{92} +7.83961 q^{93} +(-0.931060 + 6.47567i) q^{94} +(0.739816 + 1.61997i) q^{95} +(3.24630 + 0.953198i) q^{96} +(7.51574 + 8.67363i) q^{97} +(5.29248 - 1.55401i) q^{98} +(23.6929 + 15.2265i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q + 2 q^{2} - 3 q^{3} - 2 q^{4} - 2 q^{5} + 3 q^{6} + 19 q^{7} + 2 q^{8} - 27 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q + 2 q^{2} - 3 q^{3} - 2 q^{4} - 2 q^{5} + 3 q^{6} + 19 q^{7} + 2 q^{8} - 27 q^{9} + 2 q^{10} + 7 q^{11} + 8 q^{12} + 8 q^{13} + 3 q^{14} - 3 q^{15} - 2 q^{16} + 8 q^{17} + 27 q^{18} - q^{19} - 2 q^{20} - 31 q^{21} - 18 q^{22} - 9 q^{23} - 8 q^{24} - 2 q^{25} - 8 q^{26} - 18 q^{27} - 3 q^{28} + 20 q^{29} + 3 q^{30} - 17 q^{31} + 2 q^{32} + 17 q^{33} + 3 q^{34} - 3 q^{35} + 17 q^{36} + 6 q^{37} - 21 q^{38} - 75 q^{39} + 2 q^{40} - 2 q^{41} + 42 q^{42} - 18 q^{43} + 7 q^{44} + 28 q^{45} - 2 q^{46} + 42 q^{47} + 8 q^{48} - 19 q^{49} + 2 q^{50} + 26 q^{51} + 19 q^{52} + 19 q^{53} - 26 q^{54} - 15 q^{55} - 19 q^{56} + 7 q^{57} - 9 q^{58} + 25 q^{59} - 3 q^{60} - 49 q^{61} - 38 q^{62} - 87 q^{63} - 2 q^{64} + 19 q^{65} - 6 q^{66} + 19 q^{67} - 36 q^{68} + 36 q^{69} + 14 q^{70} + 7 q^{71} - 17 q^{72} - 10 q^{73} - 6 q^{74} - 3 q^{75} - q^{76} - 29 q^{77} - 2 q^{78} - 33 q^{79} - 2 q^{80} + 72 q^{81} + 2 q^{82} - 41 q^{83} + 13 q^{84} - 14 q^{85} - 48 q^{86} - 16 q^{87} - 7 q^{88} + 55 q^{89} + 5 q^{90} + 13 q^{92} + 10 q^{93} + 13 q^{94} + 21 q^{95} + 3 q^{96} - 9 q^{97} + 41 q^{98} + 59 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 0.989821i 0.100632 0.699909i
\(3\) 1.40549 + 3.07760i 0.811461 + 1.77685i 0.600998 + 0.799250i \(0.294770\pi\)
0.210463 + 0.977602i \(0.432503\pi\)
\(4\) −0.959493 0.281733i −0.479746 0.140866i
\(5\) −0.654861 0.755750i −0.292863 0.337981i
\(6\) 3.24630 0.953198i 1.32529 0.389142i
\(7\) 2.97617 + 1.91267i 1.12489 + 0.722922i 0.964487 0.264130i \(-0.0850849\pi\)
0.160401 + 0.987052i \(0.448721\pi\)
\(8\) −0.415415 + 0.909632i −0.146871 + 0.321603i
\(9\) −5.53162 + 6.38383i −1.84387 + 2.12794i
\(10\) −0.841254 + 0.540641i −0.266028 + 0.170966i
\(11\) −0.474502 3.30023i −0.143068 0.995057i −0.927228 0.374498i \(-0.877815\pi\)
0.784160 0.620559i \(-0.213094\pi\)
\(12\) −0.481500 3.34891i −0.138997 0.966746i
\(13\) −2.04439 + 1.31385i −0.567013 + 0.364397i −0.792521 0.609844i \(-0.791232\pi\)
0.225509 + 0.974241i \(0.427596\pi\)
\(14\) 2.31676 2.67368i 0.619179 0.714571i
\(15\) 1.40549 3.07760i 0.362896 0.794632i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 4.17723 1.22655i 1.01313 0.297481i 0.267295 0.963615i \(-0.413870\pi\)
0.745833 + 0.666133i \(0.232052\pi\)
\(18\) 5.53162 + 6.38383i 1.30382 + 1.50468i
\(19\) −1.70877 0.501740i −0.392019 0.115107i 0.0797820 0.996812i \(-0.474578\pi\)
−0.471801 + 0.881705i \(0.656396\pi\)
\(20\) 0.415415 + 0.909632i 0.0928896 + 0.203400i
\(21\) −1.70344 + 11.8477i −0.371722 + 2.58538i
\(22\) −3.33417 −0.710847
\(23\) 4.72437 0.824821i 0.985099 0.171987i
\(24\) −3.38334 −0.690622
\(25\) −0.142315 + 0.989821i −0.0284630 + 0.197964i
\(26\) 1.00953 + 2.21057i 0.197985 + 0.433528i
\(27\) −17.6826 5.19209i −3.40302 0.999218i
\(28\) −2.31676 2.67368i −0.437826 0.505278i
\(29\) 4.26170 1.25135i 0.791378 0.232370i 0.139029 0.990288i \(-0.455602\pi\)
0.652349 + 0.757919i \(0.273784\pi\)
\(30\) −2.84625 1.82917i −0.519652 0.333960i
\(31\) 0.962566 2.10773i 0.172882 0.378559i −0.803280 0.595601i \(-0.796914\pi\)
0.976162 + 0.217043i \(0.0696411\pi\)
\(32\) 0.654861 0.755750i 0.115764 0.133599i
\(33\) 9.48988 6.09877i 1.65198 1.06166i
\(34\) −0.619580 4.30927i −0.106257 0.739034i
\(35\) −0.503479 3.50177i −0.0851035 0.591908i
\(36\) 7.10608 4.56680i 1.18435 0.761134i
\(37\) 2.47799 2.85975i 0.407379 0.470140i −0.514572 0.857447i \(-0.672049\pi\)
0.921951 + 0.387307i \(0.126595\pi\)
\(38\) −0.739816 + 1.61997i −0.120014 + 0.262794i
\(39\) −6.91689 4.44521i −1.10759 0.711804i
\(40\) 0.959493 0.281733i 0.151709 0.0445458i
\(41\) −5.45570 6.29621i −0.852036 0.983303i 0.147947 0.988995i \(-0.452733\pi\)
−0.999984 + 0.00569272i \(0.998188\pi\)
\(42\) 11.4847 + 3.37221i 1.77213 + 0.520343i
\(43\) −1.86625 4.08651i −0.284600 0.623187i 0.712299 0.701876i \(-0.247654\pi\)
−0.996899 + 0.0786889i \(0.974927\pi\)
\(44\) −0.474502 + 3.30023i −0.0715338 + 0.497529i
\(45\) 8.44702 1.25921
\(46\) −0.144077 4.79367i −0.0212431 0.706788i
\(47\) −6.54226 −0.954286 −0.477143 0.878826i \(-0.658328\pi\)
−0.477143 + 0.878826i \(0.658328\pi\)
\(48\) −0.481500 + 3.34891i −0.0694986 + 0.483373i
\(49\) 2.29140 + 5.01746i 0.327342 + 0.716779i
\(50\) 0.959493 + 0.281733i 0.135693 + 0.0398430i
\(51\) 9.64588 + 11.1319i 1.35069 + 1.55878i
\(52\) 2.33174 0.684660i 0.323354 0.0949452i
\(53\) −6.75825 4.34326i −0.928317 0.596593i −0.0132574 0.999912i \(-0.504220\pi\)
−0.915059 + 0.403319i \(0.867856\pi\)
\(54\) −7.65574 + 16.7637i −1.04181 + 2.28126i
\(55\) −2.18342 + 2.51980i −0.294412 + 0.339769i
\(56\) −2.97617 + 1.91267i −0.397708 + 0.255591i
\(57\) −0.857508 5.96410i −0.113580 0.789964i
\(58\) −0.632108 4.39641i −0.0829999 0.577277i
\(59\) 11.7107 7.52602i 1.52461 0.979805i 0.533637 0.845713i \(-0.320825\pi\)
0.990969 0.134092i \(-0.0428116\pi\)
\(60\) −2.21562 + 2.55696i −0.286035 + 0.330102i
\(61\) −4.41893 + 9.67611i −0.565786 + 1.23890i 0.383224 + 0.923655i \(0.374814\pi\)
−0.949011 + 0.315244i \(0.897914\pi\)
\(62\) −1.94929 1.25273i −0.247559 0.159097i
\(63\) −28.6732 + 8.41922i −3.61249 + 1.06072i
\(64\) −0.654861 0.755750i −0.0818576 0.0944687i
\(65\) 2.33174 + 0.684660i 0.289216 + 0.0849216i
\(66\) −4.68615 10.2612i −0.576825 1.26307i
\(67\) 0.522775 3.63598i 0.0638671 0.444205i −0.932648 0.360788i \(-0.882508\pi\)
0.996515 0.0834168i \(-0.0265833\pi\)
\(68\) −4.35358 −0.527950
\(69\) 9.17853 + 13.3804i 1.10497 + 1.61081i
\(70\) −3.53778 −0.422846
\(71\) −1.28444 + 8.93348i −0.152435 + 1.06021i 0.759687 + 0.650289i \(0.225352\pi\)
−0.912122 + 0.409920i \(0.865557\pi\)
\(72\) −3.50902 7.68368i −0.413542 0.905530i
\(73\) −2.35015 0.690068i −0.275065 0.0807663i 0.141291 0.989968i \(-0.454875\pi\)
−0.416356 + 0.909202i \(0.636693\pi\)
\(74\) −2.47799 2.85975i −0.288060 0.332439i
\(75\) −3.24630 + 0.953198i −0.374850 + 0.110066i
\(76\) 1.49820 + 0.962832i 0.171855 + 0.110444i
\(77\) 4.90006 10.7296i 0.558413 1.22275i
\(78\) −5.38434 + 6.21386i −0.609657 + 0.703582i
\(79\) −1.93484 + 1.24344i −0.217686 + 0.139898i −0.644940 0.764234i \(-0.723117\pi\)
0.427254 + 0.904132i \(0.359481\pi\)
\(80\) −0.142315 0.989821i −0.0159113 0.110665i
\(81\) −5.26722 36.6343i −0.585247 4.07048i
\(82\) −7.00855 + 4.50412i −0.773965 + 0.497397i
\(83\) 0.921369 1.06332i 0.101133 0.116714i −0.702926 0.711263i \(-0.748124\pi\)
0.804060 + 0.594548i \(0.202669\pi\)
\(84\) 4.97233 10.8879i 0.542525 1.18796i
\(85\) −3.66247 2.35373i −0.397250 0.255297i
\(86\) −4.31051 + 1.26568i −0.464814 + 0.136482i
\(87\) 9.84093 + 11.3570i 1.05506 + 1.21760i
\(88\) 3.19911 + 0.939344i 0.341026 + 0.100134i
\(89\) 6.81581 + 14.9245i 0.722474 + 1.58200i 0.810405 + 0.585871i \(0.199247\pi\)
−0.0879306 + 0.996127i \(0.528025\pi\)
\(90\) 1.20214 8.36104i 0.126716 0.881331i
\(91\) −8.59744 −0.901256
\(92\) −4.76538 0.539599i −0.496825 0.0562571i
\(93\) 7.83961 0.812930
\(94\) −0.931060 + 6.47567i −0.0960315 + 0.667914i
\(95\) 0.739816 + 1.61997i 0.0759035 + 0.166206i
\(96\) 3.24630 + 0.953198i 0.331324 + 0.0972854i
\(97\) 7.51574 + 8.67363i 0.763108 + 0.880673i 0.995770 0.0918844i \(-0.0292890\pi\)
−0.232662 + 0.972558i \(0.574744\pi\)
\(98\) 5.29248 1.55401i 0.534622 0.156979i
\(99\) 23.6929 + 15.2265i 2.38122 + 1.53032i
\(100\) 0.415415 0.909632i 0.0415415 0.0909632i
\(101\) −4.98657 + 5.75481i −0.496182 + 0.572625i −0.947507 0.319735i \(-0.896406\pi\)
0.451325 + 0.892360i \(0.350952\pi\)
\(102\) 12.3914 7.96346i 1.22693 0.788500i
\(103\) 1.45754 + 10.1374i 0.143616 + 0.998869i 0.926391 + 0.376564i \(0.122894\pi\)
−0.782775 + 0.622305i \(0.786196\pi\)
\(104\) −0.345850 2.40544i −0.0339134 0.235873i
\(105\) 10.0694 6.47122i 0.982675 0.631527i
\(106\) −5.26085 + 6.07135i −0.510979 + 0.589701i
\(107\) −0.662403 + 1.45046i −0.0640369 + 0.140221i −0.938944 0.344069i \(-0.888195\pi\)
0.874908 + 0.484290i \(0.160922\pi\)
\(108\) 15.5036 + 9.96354i 1.49183 + 0.958742i
\(109\) −5.70566 + 1.67533i −0.546503 + 0.160468i −0.543318 0.839527i \(-0.682832\pi\)
−0.00318548 + 0.999995i \(0.501014\pi\)
\(110\) 2.18342 + 2.51980i 0.208181 + 0.240253i
\(111\) 12.2840 + 3.60689i 1.16594 + 0.342351i
\(112\) 1.46965 + 3.21808i 0.138869 + 0.304080i
\(113\) 1.03394 7.19123i 0.0972651 0.676494i −0.881602 0.471994i \(-0.843534\pi\)
0.978867 0.204499i \(-0.0655566\pi\)
\(114\) −6.02543 −0.564333
\(115\) −3.71716 3.03030i −0.346627 0.282577i
\(116\) −4.44162 −0.412394
\(117\) 2.92140 20.3188i 0.270084 1.87847i
\(118\) −5.78281 12.6626i −0.532351 1.16569i
\(119\) 14.7782 + 4.33926i 1.35471 + 0.397779i
\(120\) 2.21562 + 2.55696i 0.202257 + 0.233418i
\(121\) −0.111955 + 0.0328728i −0.0101777 + 0.00298844i
\(122\) 8.94874 + 5.75101i 0.810181 + 0.520672i
\(123\) 11.7093 25.6397i 1.05579 2.31185i
\(124\) −1.51739 + 1.75116i −0.136266 + 0.157259i
\(125\) 0.841254 0.540641i 0.0752440 0.0483564i
\(126\) 4.25290 + 29.5796i 0.378878 + 2.63516i
\(127\) −0.907193 6.30967i −0.0805004 0.559892i −0.989659 0.143442i \(-0.954183\pi\)
0.909158 0.416450i \(-0.136726\pi\)
\(128\) −0.841254 + 0.540641i −0.0743570 + 0.0477863i
\(129\) 9.95364 11.4871i 0.876369 1.01138i
\(130\) 1.00953 2.21057i 0.0885418 0.193879i
\(131\) −8.42656 5.41542i −0.736232 0.473147i 0.118017 0.993012i \(-0.462346\pi\)
−0.854249 + 0.519864i \(0.825983\pi\)
\(132\) −10.8237 + 3.17812i −0.942082 + 0.276620i
\(133\) −4.12593 4.76158i −0.357764 0.412881i
\(134\) −3.52457 1.03491i −0.304476 0.0894023i
\(135\) 7.65574 + 16.7637i 0.658901 + 1.44279i
\(136\) −0.619580 + 4.30927i −0.0531285 + 0.369517i
\(137\) 7.61920 0.650952 0.325476 0.945550i \(-0.394475\pi\)
0.325476 + 0.945550i \(0.394475\pi\)
\(138\) 14.5505 7.18087i 1.23862 0.611276i
\(139\) −15.1421 −1.28434 −0.642170 0.766563i \(-0.721966\pi\)
−0.642170 + 0.766563i \(0.721966\pi\)
\(140\) −0.503479 + 3.50177i −0.0425518 + 0.295954i
\(141\) −9.19509 20.1344i −0.774366 1.69563i
\(142\) 8.65976 + 2.54273i 0.726711 + 0.213382i
\(143\) 5.30608 + 6.12355i 0.443717 + 0.512077i
\(144\) −8.10485 + 2.37980i −0.675405 + 0.198317i
\(145\) −3.73653 2.40132i −0.310302 0.199419i
\(146\) −1.01751 + 2.22803i −0.0842094 + 0.184393i
\(147\) −12.2212 + 14.1040i −1.00799 + 1.16328i
\(148\) −3.18330 + 2.04578i −0.261665 + 0.168162i
\(149\) −0.638482 4.44074i −0.0523065 0.363800i −0.999117 0.0420088i \(-0.986624\pi\)
0.946811 0.321791i \(-0.104285\pi\)
\(150\) 0.481500 + 3.34891i 0.0393143 + 0.273437i
\(151\) −7.89187 + 5.07180i −0.642231 + 0.412737i −0.820820 0.571187i \(-0.806483\pi\)
0.178589 + 0.983924i \(0.442847\pi\)
\(152\) 1.16625 1.34592i 0.0945951 0.109169i
\(153\) −15.2768 + 33.4515i −1.23506 + 2.70440i
\(154\) −9.92306 6.37717i −0.799623 0.513887i
\(155\) −2.22326 + 0.652808i −0.178577 + 0.0524348i
\(156\) 5.38434 + 6.21386i 0.431093 + 0.497507i
\(157\) −2.71487 0.797157i −0.216670 0.0636200i 0.171596 0.985167i \(-0.445108\pi\)
−0.388266 + 0.921547i \(0.626926\pi\)
\(158\) 0.955431 + 2.09210i 0.0760100 + 0.166439i
\(159\) 3.86815 26.9036i 0.306764 2.13359i
\(160\) −1.00000 −0.0790569
\(161\) 15.6382 + 6.58135i 1.23246 + 0.518683i
\(162\) −37.0111 −2.90786
\(163\) −1.01255 + 7.04242i −0.0793088 + 0.551605i 0.910966 + 0.412481i \(0.135338\pi\)
−0.990275 + 0.139124i \(0.955571\pi\)
\(164\) 3.46085 + 7.57821i 0.270247 + 0.591759i
\(165\) −10.8237 3.17812i −0.842624 0.247417i
\(166\) −0.921369 1.06332i −0.0715121 0.0825294i
\(167\) −3.82944 + 1.12442i −0.296331 + 0.0870106i −0.426519 0.904479i \(-0.640260\pi\)
0.130188 + 0.991489i \(0.458442\pi\)
\(168\) −10.0694 6.47122i −0.776873 0.499266i
\(169\) −2.94706 + 6.45315i −0.226697 + 0.496396i
\(170\) −2.85099 + 3.29022i −0.218661 + 0.252348i
\(171\) 12.6553 8.13306i 0.967774 0.621951i
\(172\) 0.639348 + 4.44676i 0.0487498 + 0.339062i
\(173\) 3.61524 + 25.1445i 0.274861 + 1.91170i 0.394519 + 0.918888i \(0.370911\pi\)
−0.119658 + 0.992815i \(0.538180\pi\)
\(174\) 12.6420 8.12449i 0.958384 0.615916i
\(175\) −2.31676 + 2.67368i −0.175130 + 0.202111i
\(176\) 1.38506 3.03287i 0.104403 0.228611i
\(177\) 39.6214 + 25.4631i 2.97813 + 1.91393i
\(178\) 15.7426 4.62245i 1.17996 0.346467i
\(179\) −12.8875 14.8730i −0.963257 1.11166i −0.993695 0.112122i \(-0.964235\pi\)
0.0304372 0.999537i \(-0.490310\pi\)
\(180\) −8.10485 2.37980i −0.604100 0.177380i
\(181\) 3.53497 + 7.74051i 0.262752 + 0.575348i 0.994321 0.106420i \(-0.0339388\pi\)
−0.731569 + 0.681768i \(0.761212\pi\)
\(182\) −1.22354 + 8.50993i −0.0906950 + 0.630798i
\(183\) −35.9900 −2.66045
\(184\) −1.21229 + 4.64008i −0.0893713 + 0.342071i
\(185\) −3.78399 −0.278205
\(186\) 1.11569 7.75982i 0.0818066 0.568977i
\(187\) −6.02999 13.2038i −0.440957 0.965560i
\(188\) 6.27725 + 1.84317i 0.457815 + 0.134427i
\(189\) −42.6958 49.2736i −3.10566 3.58413i
\(190\) 1.70877 0.501740i 0.123967 0.0364000i
\(191\) −16.2244 10.4268i −1.17396 0.754457i −0.199692 0.979859i \(-0.563994\pi\)
−0.974266 + 0.225402i \(0.927631\pi\)
\(192\) 1.40549 3.07760i 0.101433 0.222107i
\(193\) 9.11317 10.5172i 0.655980 0.757041i −0.326135 0.945323i \(-0.605746\pi\)
0.982115 + 0.188282i \(0.0602918\pi\)
\(194\) 9.65494 6.20485i 0.693184 0.445483i
\(195\) 1.17013 + 8.13843i 0.0837947 + 0.582805i
\(196\) −0.784997 5.45977i −0.0560712 0.389984i
\(197\) 5.73032 3.68265i 0.408269 0.262378i −0.320348 0.947300i \(-0.603800\pi\)
0.728617 + 0.684922i \(0.240164\pi\)
\(198\) 18.4434 21.2848i 1.31071 1.51264i
\(199\) −9.16447 + 20.0674i −0.649652 + 1.42254i 0.242206 + 0.970225i \(0.422129\pi\)
−0.891858 + 0.452315i \(0.850598\pi\)
\(200\) −0.841254 0.540641i −0.0594856 0.0382291i
\(201\) 11.9248 3.50145i 0.841113 0.246973i
\(202\) 4.98657 + 5.75481i 0.350854 + 0.404907i
\(203\) 15.0770 + 4.42700i 1.05820 + 0.310714i
\(204\) −6.11893 13.3986i −0.428411 0.938088i
\(205\) −1.18564 + 8.24628i −0.0828084 + 0.575945i
\(206\) 10.2417 0.713570
\(207\) −20.8679 + 34.7222i −1.45042 + 2.41336i
\(208\) −2.43018 −0.168502
\(209\) −0.845044 + 5.87741i −0.0584529 + 0.406549i
\(210\) −4.97233 10.8879i −0.343123 0.751335i
\(211\) −2.89011 0.848613i −0.198963 0.0584209i 0.180732 0.983532i \(-0.442153\pi\)
−0.379696 + 0.925111i \(0.623971\pi\)
\(212\) 5.26085 + 6.07135i 0.361317 + 0.416982i
\(213\) −29.2989 + 8.60294i −2.00753 + 0.589464i
\(214\) 1.34143 + 0.862082i 0.0916980 + 0.0589307i
\(215\) −1.86625 + 4.08651i −0.127277 + 0.278698i
\(216\) 12.0685 13.9278i 0.821159 0.947668i
\(217\) 6.89615 4.43189i 0.468141 0.300856i
\(218\) 0.846281 + 5.88601i 0.0573174 + 0.398651i
\(219\) −1.17937 8.20272i −0.0796946 0.554288i
\(220\) 2.80488 1.80259i 0.189105 0.121530i
\(221\) −6.92841 + 7.99581i −0.466055 + 0.537856i
\(222\) 5.31837 11.6456i 0.356946 0.781602i
\(223\) −1.69953 1.09222i −0.113809 0.0731407i 0.482498 0.875897i \(-0.339730\pi\)
−0.596307 + 0.802756i \(0.703366\pi\)
\(224\) 3.39448 0.996709i 0.226803 0.0665954i
\(225\) −5.53162 6.38383i −0.368775 0.425589i
\(226\) −6.97089 2.04684i −0.463696 0.136154i
\(227\) −5.14764 11.2718i −0.341661 0.748132i 0.658329 0.752730i \(-0.271264\pi\)
−0.999989 + 0.00459808i \(0.998536\pi\)
\(228\) −0.857508 + 5.96410i −0.0567898 + 0.394982i
\(229\) 26.1155 1.72576 0.862880 0.505409i \(-0.168658\pi\)
0.862880 + 0.505409i \(0.168658\pi\)
\(230\) −3.52846 + 3.24807i −0.232660 + 0.214171i
\(231\) 39.9085 2.62578
\(232\) −0.632108 + 4.39641i −0.0414999 + 0.288638i
\(233\) 5.86662 + 12.8461i 0.384335 + 0.841577i 0.998621 + 0.0524933i \(0.0167168\pi\)
−0.614286 + 0.789083i \(0.710556\pi\)
\(234\) −19.6962 5.78333i −1.28758 0.378068i
\(235\) 4.28427 + 4.94431i 0.279475 + 0.322531i
\(236\) −13.3567 + 3.92188i −0.869446 + 0.255292i
\(237\) −6.54621 4.20700i −0.425222 0.273274i
\(238\) 6.39824 14.0102i 0.414736 0.908146i
\(239\) −3.26621 + 3.76940i −0.211273 + 0.243822i −0.851489 0.524373i \(-0.824300\pi\)
0.640215 + 0.768196i \(0.278845\pi\)
\(240\) 2.84625 1.82917i 0.183725 0.118073i
\(241\) 0.239778 + 1.66769i 0.0154454 + 0.107425i 0.996086 0.0883925i \(-0.0281730\pi\)
−0.980640 + 0.195818i \(0.937264\pi\)
\(242\) 0.0166054 + 0.115493i 0.00106744 + 0.00742419i
\(243\) 58.8320 37.8090i 3.77408 2.42545i
\(244\) 6.96601 8.03920i 0.445953 0.514657i
\(245\) 2.29140 5.01746i 0.146392 0.320553i
\(246\) −23.7123 15.2390i −1.51184 0.971603i
\(247\) 4.15261 1.21932i 0.264224 0.0775832i
\(248\) 1.51739 + 1.75116i 0.0963544 + 0.111199i
\(249\) 4.56744 + 1.34112i 0.289450 + 0.0849901i
\(250\) −0.415415 0.909632i −0.0262732 0.0575302i
\(251\) 3.36584 23.4099i 0.212450 1.47762i −0.552490 0.833519i \(-0.686322\pi\)
0.764940 0.644102i \(-0.222769\pi\)
\(252\) 29.8837 1.88250
\(253\) −4.96382 15.2001i −0.312073 0.955624i
\(254\) −6.37455 −0.399975
\(255\) 2.09625 14.5797i 0.131272 0.913019i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −15.6685 4.60068i −0.977372 0.286982i −0.246233 0.969211i \(-0.579193\pi\)
−0.731139 + 0.682228i \(0.761011\pi\)
\(258\) −9.95364 11.4871i −0.619687 0.715157i
\(259\) 12.8447 3.77154i 0.798130 0.234352i
\(260\) −2.04439 1.31385i −0.126788 0.0814816i
\(261\) −15.5857 + 34.1280i −0.964732 + 2.11247i
\(262\) −6.55952 + 7.57009i −0.405249 + 0.467682i
\(263\) 1.27661 0.820427i 0.0787191 0.0505897i −0.500689 0.865627i \(-0.666920\pi\)
0.579408 + 0.815037i \(0.303284\pi\)
\(264\) 1.60540 + 11.1658i 0.0988057 + 0.687209i
\(265\) 1.14329 + 7.95177i 0.0702319 + 0.488474i
\(266\) −5.30029 + 3.40629i −0.324982 + 0.208853i
\(267\) −36.3522 + 41.9526i −2.22472 + 2.56746i
\(268\) −1.52597 + 3.34141i −0.0932136 + 0.204109i
\(269\) −17.3777 11.1680i −1.05954 0.680924i −0.109795 0.993954i \(-0.535019\pi\)
−0.949743 + 0.313031i \(0.898656\pi\)
\(270\) 17.6826 5.19209i 1.07613 0.315980i
\(271\) 7.56829 + 8.73427i 0.459741 + 0.530569i 0.937530 0.347906i \(-0.113107\pi\)
−0.477789 + 0.878475i \(0.658562\pi\)
\(272\) 4.17723 + 1.22655i 0.253282 + 0.0743703i
\(273\) −12.0836 26.4595i −0.731334 1.60140i
\(274\) 1.08433 7.54165i 0.0655065 0.455608i
\(275\) 3.33417 0.201058
\(276\) −5.03703 15.4243i −0.303194 0.928435i
\(277\) 1.27581 0.0766562 0.0383281 0.999265i \(-0.487797\pi\)
0.0383281 + 0.999265i \(0.487797\pi\)
\(278\) −2.15495 + 14.9880i −0.129245 + 0.898921i
\(279\) 8.13082 + 17.8040i 0.486779 + 1.06590i
\(280\) 3.39448 + 0.996709i 0.202859 + 0.0595648i
\(281\) −3.58023 4.13181i −0.213579 0.246483i 0.638844 0.769336i \(-0.279413\pi\)
−0.852423 + 0.522853i \(0.824868\pi\)
\(282\) −21.2381 + 6.23607i −1.26471 + 0.371352i
\(283\) −0.279134 0.179389i −0.0165928 0.0106635i 0.532318 0.846544i \(-0.321321\pi\)
−0.548911 + 0.835881i \(0.684957\pi\)
\(284\) 3.74926 8.20974i 0.222478 0.487159i
\(285\) −3.94582 + 4.55371i −0.233730 + 0.269739i
\(286\) 6.81635 4.38060i 0.403059 0.259031i
\(287\) −4.19452 29.1736i −0.247595 1.72206i
\(288\) 1.20214 + 8.36104i 0.0708365 + 0.492679i
\(289\) 1.64355 1.05625i 0.0966796 0.0621322i
\(290\) −2.90864 + 3.35675i −0.170801 + 0.197115i
\(291\) −16.1306 + 35.3211i −0.945594 + 2.07056i
\(292\) 2.06054 + 1.32423i 0.120584 + 0.0774947i
\(293\) 15.4125 4.52552i 0.900409 0.264384i 0.201410 0.979507i \(-0.435448\pi\)
0.698999 + 0.715123i \(0.253629\pi\)
\(294\) 12.2212 + 14.1040i 0.712753 + 0.822561i
\(295\) −13.3567 3.92188i −0.777656 0.228340i
\(296\) 1.57193 + 3.44204i 0.0913664 + 0.200065i
\(297\) −8.74466 + 60.8204i −0.507416 + 3.52916i
\(298\) −4.48641 −0.259891
\(299\) −8.57478 + 7.89338i −0.495892 + 0.456486i
\(300\) 3.38334 0.195337
\(301\) 2.26187 15.7317i 0.130372 0.906759i
\(302\) 3.89704 + 8.53333i 0.224250 + 0.491038i
\(303\) −24.7196 7.25832i −1.42010 0.416980i
\(304\) −1.16625 1.34592i −0.0668889 0.0771939i
\(305\) 10.2065 2.99690i 0.584423 0.171602i
\(306\) 30.9369 + 19.8820i 1.76855 + 1.13658i
\(307\) 13.5141 29.5917i 0.771288 1.68888i 0.0474912 0.998872i \(-0.484877\pi\)
0.723797 0.690013i \(-0.242395\pi\)
\(308\) −7.72446 + 8.91450i −0.440142 + 0.507951i
\(309\) −29.1503 + 18.7338i −1.65830 + 1.06573i
\(310\) 0.329761 + 2.29353i 0.0187291 + 0.130264i
\(311\) 0.282669 + 1.96601i 0.0160287 + 0.111482i 0.996265 0.0863480i \(-0.0275197\pi\)
−0.980236 + 0.197830i \(0.936611\pi\)
\(312\) 6.91689 4.44521i 0.391592 0.251661i
\(313\) 2.53433 2.92477i 0.143249 0.165318i −0.679591 0.733591i \(-0.737843\pi\)
0.822840 + 0.568273i \(0.192388\pi\)
\(314\) −1.17541 + 2.57379i −0.0663321 + 0.145247i
\(315\) 25.1398 + 16.1564i 1.41647 + 0.910308i
\(316\) 2.20678 0.647969i 0.124141 0.0364511i
\(317\) 1.36805 + 1.57881i 0.0768373 + 0.0886750i 0.792867 0.609395i \(-0.208588\pi\)
−0.716029 + 0.698070i \(0.754042\pi\)
\(318\) −26.0793 7.65756i −1.46245 0.429415i
\(319\) −6.15192 13.4708i −0.344442 0.754222i
\(320\) −0.142315 + 0.989821i −0.00795564 + 0.0553327i
\(321\) −5.39493 −0.301116
\(322\) 8.73991 14.5424i 0.487056 0.810414i
\(323\) −7.75334 −0.431407
\(324\) −5.26722 + 36.6343i −0.292624 + 2.03524i
\(325\) −1.00953 2.21057i −0.0559987 0.122620i
\(326\) 6.82664 + 2.00448i 0.378093 + 0.111018i
\(327\) −13.1753 15.2051i −0.728594 0.840842i
\(328\) 7.99361 2.34714i 0.441373 0.129599i
\(329\) −19.4709 12.5132i −1.07346 0.689874i
\(330\) −4.68615 + 10.2612i −0.257964 + 0.564862i
\(331\) −8.39176 + 9.68461i −0.461253 + 0.532314i −0.937958 0.346749i \(-0.887286\pi\)
0.476705 + 0.879063i \(0.341831\pi\)
\(332\) −1.18362 + 0.760665i −0.0649595 + 0.0417469i
\(333\) 4.54887 + 31.6381i 0.249277 + 1.73376i
\(334\) 0.567993 + 3.95048i 0.0310792 + 0.216161i
\(335\) −3.09023 + 1.98597i −0.168837 + 0.108505i
\(336\) −7.83838 + 9.04598i −0.427619 + 0.493498i
\(337\) 4.78442 10.4764i 0.260624 0.570687i −0.733406 0.679791i \(-0.762071\pi\)
0.994030 + 0.109103i \(0.0347980\pi\)
\(338\) 5.96806 + 3.83544i 0.324620 + 0.208620i
\(339\) 23.5849 6.92515i 1.28096 0.376123i
\(340\) 2.85099 + 3.29022i 0.154617 + 0.178437i
\(341\) −7.41272 2.17657i −0.401422 0.117868i
\(342\) −6.24924 13.6839i −0.337920 0.739942i
\(343\) 0.747204 5.19692i 0.0403452 0.280607i
\(344\) 4.49249 0.242219
\(345\) 4.10160 15.6990i 0.220823 0.845205i
\(346\) 25.4031 1.36568
\(347\) 0.612508 4.26009i 0.0328812 0.228694i −0.966754 0.255709i \(-0.917691\pi\)
0.999635 + 0.0270152i \(0.00860026\pi\)
\(348\) −6.24266 13.6695i −0.334642 0.732763i
\(349\) 9.23442 + 2.71147i 0.494307 + 0.145142i 0.519379 0.854544i \(-0.326163\pi\)
−0.0250720 + 0.999686i \(0.507982\pi\)
\(350\) 2.31676 + 2.67368i 0.123836 + 0.142914i
\(351\) 42.9719 12.6177i 2.29367 0.673482i
\(352\) −2.80488 1.80259i −0.149501 0.0960782i
\(353\) −12.0667 + 26.4224i −0.642245 + 1.40632i 0.255935 + 0.966694i \(0.417617\pi\)
−0.898181 + 0.439627i \(0.855111\pi\)
\(354\) 30.8427 35.5943i 1.63927 1.89182i
\(355\) 7.59260 4.87947i 0.402974 0.258975i
\(356\) −2.33499 16.2402i −0.123754 0.860730i
\(357\) 7.41608 + 51.5800i 0.392501 + 2.72990i
\(358\) −16.5557 + 10.6397i −0.874994 + 0.562325i
\(359\) 16.2996 18.8108i 0.860262 0.992796i −0.139734 0.990189i \(-0.544625\pi\)
0.999997 0.00260652i \(-0.000829684\pi\)
\(360\) −3.50902 + 7.68368i −0.184941 + 0.404965i
\(361\) −13.3157 8.55746i −0.700825 0.450393i
\(362\) 8.16480 2.39740i 0.429132 0.126005i
\(363\) −0.258521 0.298349i −0.0135688 0.0156592i
\(364\) 8.24918 + 2.42218i 0.432375 + 0.126957i
\(365\) 1.01751 + 2.22803i 0.0532587 + 0.116620i
\(366\) −5.12191 + 35.6236i −0.267726 + 1.86208i
\(367\) 32.1217 1.67674 0.838369 0.545104i \(-0.183510\pi\)
0.838369 + 0.545104i \(0.183510\pi\)
\(368\) 4.42032 + 1.86030i 0.230425 + 0.0969750i
\(369\) 70.3728 3.66346
\(370\) −0.538518 + 3.74548i −0.0279962 + 0.194718i
\(371\) −11.8065 25.8526i −0.612962 1.34220i
\(372\) −7.52205 2.20867i −0.390000 0.114514i
\(373\) −13.5420 15.6283i −0.701180 0.809205i 0.287731 0.957711i \(-0.407099\pi\)
−0.988912 + 0.148506i \(0.952554\pi\)
\(374\) −13.9276 + 4.08951i −0.720179 + 0.211464i
\(375\) 2.84625 + 1.82917i 0.146980 + 0.0944581i
\(376\) 2.71775 5.95105i 0.140157 0.306902i
\(377\) −7.06851 + 8.15749i −0.364047 + 0.420132i
\(378\) −54.8483 + 35.2489i −2.82109 + 1.81301i
\(379\) 3.70937 + 25.7992i 0.190537 + 1.32522i 0.830590 + 0.556885i \(0.188004\pi\)
−0.640052 + 0.768331i \(0.721087\pi\)
\(380\) −0.253450 1.76278i −0.0130017 0.0904288i
\(381\) 18.1436 11.6602i 0.929523 0.597368i
\(382\) −12.6297 + 14.5754i −0.646189 + 0.745742i
\(383\) 4.54089 9.94317i 0.232029 0.508072i −0.757425 0.652922i \(-0.773543\pi\)
0.989454 + 0.144850i \(0.0462700\pi\)
\(384\) −2.84625 1.82917i −0.145247 0.0933446i
\(385\) −11.3178 + 3.32320i −0.576807 + 0.169366i
\(386\) −9.11317 10.5172i −0.463848 0.535309i
\(387\) 36.4110 + 10.6912i 1.85087 + 0.543465i
\(388\) −4.76766 10.4397i −0.242041 0.529996i
\(389\) −4.61944 + 32.1289i −0.234215 + 1.62900i 0.445330 + 0.895367i \(0.353086\pi\)
−0.679545 + 0.733634i \(0.737823\pi\)
\(390\) 8.22212 0.416343
\(391\) 18.7231 9.24013i 0.946869 0.467293i
\(392\) −5.51592 −0.278596
\(393\) 4.82303 33.5449i 0.243290 1.69212i
\(394\) −2.82966 6.19609i −0.142556 0.312155i
\(395\) 2.20678 + 0.647969i 0.111035 + 0.0326029i
\(396\) −18.4434 21.2848i −0.926814 1.06960i
\(397\) −13.2937 + 3.90337i −0.667189 + 0.195904i −0.597751 0.801682i \(-0.703939\pi\)
−0.0694383 + 0.997586i \(0.522121\pi\)
\(398\) 18.5589 + 11.9271i 0.930273 + 0.597850i
\(399\) 8.85526 19.3903i 0.443318 0.970730i
\(400\) −0.654861 + 0.755750i −0.0327430 + 0.0377875i
\(401\) −13.9669 + 8.97599i −0.697474 + 0.448239i −0.840736 0.541445i \(-0.817877\pi\)
0.143262 + 0.989685i \(0.454241\pi\)
\(402\) −1.76873 12.3018i −0.0882160 0.613556i
\(403\) 0.801376 + 5.57369i 0.0399194 + 0.277645i
\(404\) 6.40590 4.11682i 0.318705 0.204819i
\(405\) −24.2371 + 27.9711i −1.20435 + 1.38989i
\(406\) 6.52762 14.2935i 0.323960 0.709374i
\(407\) −10.6136 6.82098i −0.526099 0.338103i
\(408\) −14.1330 + 4.14983i −0.699689 + 0.205447i
\(409\) 19.9343 + 23.0055i 0.985690 + 1.13755i 0.990494 + 0.137558i \(0.0439255\pi\)
−0.00480359 + 0.999988i \(0.501529\pi\)
\(410\) 7.99361 + 2.34714i 0.394776 + 0.115917i
\(411\) 10.7087 + 23.4488i 0.528222 + 1.15665i
\(412\) 1.45754 10.1374i 0.0718078 0.499434i
\(413\) 49.2480 2.42333
\(414\) 31.3989 + 25.5970i 1.54317 + 1.25802i
\(415\) −1.40697 −0.0690654
\(416\) −0.345850 + 2.40544i −0.0169567 + 0.117936i
\(417\) −21.2822 46.6014i −1.04219 2.28208i
\(418\) 5.69733 + 1.67289i 0.278665 + 0.0818235i
\(419\) −12.8289 14.8054i −0.626735 0.723291i 0.350236 0.936661i \(-0.386101\pi\)
−0.976971 + 0.213371i \(0.931556\pi\)
\(420\) −11.4847 + 3.37221i −0.560396 + 0.164547i
\(421\) 3.33622 + 2.14406i 0.162597 + 0.104495i 0.619409 0.785069i \(-0.287372\pi\)
−0.456812 + 0.889563i \(0.651009\pi\)
\(422\) −1.25128 + 2.73992i −0.0609114 + 0.133377i
\(423\) 36.1893 41.7647i 1.75958 2.03067i
\(424\) 6.75825 4.34326i 0.328210 0.210927i
\(425\) 0.619580 + 4.30927i 0.0300540 + 0.209030i
\(426\) 4.34571 + 30.2250i 0.210550 + 1.46441i
\(427\) −31.6587 + 20.3458i −1.53207 + 0.984604i
\(428\) 1.04421 1.20509i 0.0504739 0.0582500i
\(429\) −11.3882 + 24.9366i −0.549826 + 1.20395i
\(430\) 3.77932 + 2.42882i 0.182255 + 0.117128i
\(431\) 4.81999 1.41528i 0.232171 0.0681715i −0.163578 0.986530i \(-0.552303\pi\)
0.395748 + 0.918359i \(0.370485\pi\)
\(432\) −12.0685 13.9278i −0.580647 0.670102i
\(433\) −3.65110 1.07206i −0.175461 0.0515199i 0.192822 0.981234i \(-0.438236\pi\)
−0.368283 + 0.929714i \(0.620054\pi\)
\(434\) −3.40535 7.45668i −0.163462 0.357932i
\(435\) 2.13864 14.8746i 0.102540 0.713181i
\(436\) 5.94654 0.284788
\(437\) −8.48670 0.960976i −0.405974 0.0459697i
\(438\) −8.28707 −0.395971
\(439\) 3.35462 23.3319i 0.160107 1.11357i −0.738321 0.674449i \(-0.764381\pi\)
0.898428 0.439120i \(-0.144710\pi\)
\(440\) −1.38506 3.03287i −0.0660303 0.144586i
\(441\) −44.7057 13.1268i −2.12884 0.625085i
\(442\) 6.92841 + 7.99581i 0.329551 + 0.380322i
\(443\) −2.67495 + 0.785437i −0.127091 + 0.0373172i −0.344659 0.938728i \(-0.612006\pi\)
0.217569 + 0.976045i \(0.430187\pi\)
\(444\) −10.7702 6.92158i −0.511131 0.328484i
\(445\) 6.81581 14.9245i 0.323100 0.707491i
\(446\) −1.32298 + 1.52680i −0.0626447 + 0.0722959i
\(447\) 12.7694 8.20642i 0.603974 0.388150i
\(448\) −0.503479 3.50177i −0.0237872 0.165443i
\(449\) −2.77765 19.3190i −0.131086 0.911720i −0.944143 0.329536i \(-0.893108\pi\)
0.813057 0.582184i \(-0.197802\pi\)
\(450\) −7.10608 + 4.56680i −0.334984 + 0.215281i
\(451\) −18.1902 + 20.9926i −0.856543 + 0.988504i
\(452\) −3.01806 + 6.60864i −0.141958 + 0.310844i
\(453\) −26.7009 17.1596i −1.25452 0.806230i
\(454\) −11.8896 + 3.49110i −0.558007 + 0.163846i
\(455\) 5.63012 + 6.49751i 0.263944 + 0.304608i
\(456\) 5.78135 + 1.69756i 0.270737 + 0.0794955i
\(457\) 1.32739 + 2.90658i 0.0620927 + 0.135964i 0.938134 0.346271i \(-0.112552\pi\)
−0.876042 + 0.482235i \(0.839825\pi\)
\(458\) 3.71662 25.8497i 0.173666 1.20788i
\(459\) −80.2328 −3.74495
\(460\) 2.71286 + 3.95479i 0.126488 + 0.184393i
\(461\) −13.2998 −0.619436 −0.309718 0.950829i \(-0.600235\pi\)
−0.309718 + 0.950829i \(0.600235\pi\)
\(462\) 5.67957 39.5023i 0.264237 1.83781i
\(463\) 8.20700 + 17.9708i 0.381412 + 0.835175i 0.998822 + 0.0485337i \(0.0154548\pi\)
−0.617410 + 0.786642i \(0.711818\pi\)
\(464\) 4.26170 + 1.25135i 0.197844 + 0.0580924i
\(465\) −5.13386 5.92478i −0.238077 0.274755i
\(466\) 13.5503 3.97872i 0.627704 0.184310i
\(467\) −6.84846 4.40124i −0.316909 0.203665i 0.372509 0.928028i \(-0.378497\pi\)
−0.689418 + 0.724363i \(0.742134\pi\)
\(468\) −8.52753 + 18.6727i −0.394185 + 0.863145i
\(469\) 8.51029 9.82140i 0.392969 0.453510i
\(470\) 5.50370 3.53701i 0.253867 0.163150i
\(471\) −1.36239 9.47566i −0.0627758 0.436616i
\(472\) 1.98110 + 13.7789i 0.0911876 + 0.634224i
\(473\) −12.6009 + 8.09810i −0.579390 + 0.372351i
\(474\) −5.09580 + 5.88087i −0.234058 + 0.270117i
\(475\) 0.739816 1.61997i 0.0339451 0.0743294i
\(476\) −12.9570 8.32697i −0.593884 0.381666i
\(477\) 65.1107 19.1182i 2.98121 0.875364i
\(478\) 3.26621 + 3.76940i 0.149393 + 0.172409i
\(479\) −5.28119 1.55070i −0.241304 0.0708532i 0.158844 0.987304i \(-0.449223\pi\)
−0.400148 + 0.916450i \(0.631041\pi\)
\(480\) −1.40549 3.07760i −0.0641516 0.140472i
\(481\) −1.30869 + 9.10217i −0.0596713 + 0.415023i
\(482\) 1.68484 0.0767423
\(483\) 1.72454 + 57.3780i 0.0784694 + 2.61079i
\(484\) 0.116681 0.00530368
\(485\) 1.63333 11.3600i 0.0741655 0.515833i
\(486\) −29.0515 63.6140i −1.31780 2.88559i
\(487\) 28.7103 + 8.43010i 1.30099 + 0.382004i 0.857596 0.514324i \(-0.171957\pi\)
0.443391 + 0.896328i \(0.353775\pi\)
\(488\) −6.96601 8.03920i −0.315336 0.363918i
\(489\) −23.0969 + 6.78185i −1.04448 + 0.306686i
\(490\) −4.64029 2.98213i −0.209627 0.134719i
\(491\) 12.2961 26.9247i 0.554916 1.21510i −0.399532 0.916719i \(-0.630827\pi\)
0.954448 0.298377i \(-0.0964453\pi\)
\(492\) −18.4585 + 21.3022i −0.832173 + 0.960379i
\(493\) 16.2673 10.4543i 0.732642 0.470840i
\(494\) −0.615927 4.28387i −0.0277119 0.192740i
\(495\) −4.00812 27.8771i −0.180152 1.25298i
\(496\) 1.94929 1.25273i 0.0875255 0.0562492i
\(497\) −20.9095 + 24.1309i −0.937920 + 1.08242i
\(498\) 1.97748 4.33009i 0.0886132 0.194036i
\(499\) −17.1162 10.9999i −0.766227 0.492424i 0.0982098 0.995166i \(-0.468688\pi\)
−0.864437 + 0.502742i \(0.832325\pi\)
\(500\) −0.959493 + 0.281733i −0.0429098 + 0.0125995i
\(501\) −8.84277 10.2051i −0.395066 0.455930i
\(502\) −22.6926 6.66316i −1.01282 0.297391i
\(503\) 2.90113 + 6.35260i 0.129355 + 0.283248i 0.963217 0.268725i \(-0.0866023\pi\)
−0.833862 + 0.551973i \(0.813875\pi\)
\(504\) 4.25290 29.5796i 0.189439 1.31758i
\(505\) 7.61470 0.338850
\(506\) −15.7518 + 2.75009i −0.700255 + 0.122257i
\(507\) −24.0023 −1.06598
\(508\) −0.907193 + 6.30967i −0.0402502 + 0.279946i
\(509\) 15.5440 + 34.0367i 0.688978 + 1.50865i 0.852843 + 0.522168i \(0.174877\pi\)
−0.163865 + 0.986483i \(0.552396\pi\)
\(510\) −14.1330 4.14983i −0.625821 0.183758i
\(511\) −5.67460 6.54883i −0.251029 0.289703i
\(512\) 0.959493 0.281733i 0.0424040 0.0124509i
\(513\) 27.6105 + 17.7442i 1.21903 + 0.783424i
\(514\) −6.78371 + 14.8542i −0.299216 + 0.655193i
\(515\) 6.70686 7.74013i 0.295539 0.341071i
\(516\) −12.7867 + 8.21754i −0.562905 + 0.361757i
\(517\) 3.10431 + 21.5910i 0.136527 + 0.949569i
\(518\) −1.90516 13.2507i −0.0837080 0.582202i
\(519\) −72.3036 + 46.4667i −3.17377 + 2.03966i
\(520\) −1.59143 + 1.83660i −0.0697887 + 0.0805404i
\(521\) 2.54875 5.58099i 0.111663 0.244507i −0.845548 0.533900i \(-0.820726\pi\)
0.957211 + 0.289392i \(0.0934532\pi\)
\(522\) 31.5625 + 20.2840i 1.38145 + 0.887806i
\(523\) 32.7567 9.61823i 1.43235 0.420576i 0.528686 0.848818i \(-0.322685\pi\)
0.903664 + 0.428242i \(0.140867\pi\)
\(524\) 6.55952 + 7.57009i 0.286554 + 0.330701i
\(525\) −11.4847 3.37221i −0.501233 0.147175i
\(526\) −0.630396 1.38037i −0.0274866 0.0601872i
\(527\) 1.43564 9.98510i 0.0625375 0.434958i
\(528\) 11.2806 0.490927
\(529\) 21.6393 7.79352i 0.940841 0.338849i
\(530\) 8.03354 0.348955
\(531\) −16.7344 + 116.390i −0.726212 + 5.05091i
\(532\) 2.61731 + 5.73111i 0.113475 + 0.248475i
\(533\) 19.4259 + 5.70395i 0.841428 + 0.247066i
\(534\) 36.3522 + 41.9526i 1.57311 + 1.81547i
\(535\) 1.52997 0.449238i 0.0661462 0.0194223i
\(536\) 3.09023 + 1.98597i 0.133478 + 0.0857809i
\(537\) 27.6597 60.5664i 1.19361 2.61363i
\(538\) −13.5274 + 15.6115i −0.583208 + 0.673058i
\(539\) 15.4715 9.94293i 0.666404 0.428272i
\(540\) −2.62274 18.2416i −0.112865 0.784992i
\(541\) 0.736079 + 5.11954i 0.0316465 + 0.220106i 0.999508 0.0313794i \(-0.00999000\pi\)
−0.967861 + 0.251486i \(0.919081\pi\)
\(542\) 9.72245 6.24824i 0.417615 0.268385i
\(543\) −18.8538 + 21.7584i −0.809094 + 0.933744i
\(544\) 1.80854 3.96016i 0.0775407 0.169790i
\(545\) 5.00255 + 3.21494i 0.214286 + 0.137713i
\(546\) −27.9098 + 8.19506i −1.19443 + 0.350716i
\(547\) 0.343860 + 0.396836i 0.0147024 + 0.0169675i 0.763053 0.646336i \(-0.223699\pi\)
−0.748351 + 0.663303i \(0.769154\pi\)
\(548\) −7.31057 2.14658i −0.312292 0.0916972i
\(549\) −37.3268 81.7343i −1.59307 3.48833i
\(550\) 0.474502 3.30023i 0.0202328 0.140722i
\(551\) −7.91011 −0.336982
\(552\) −15.9842 + 2.79065i −0.680331 + 0.118778i
\(553\) −8.13670 −0.346008
\(554\) 0.181567 1.26283i 0.00771405 0.0536524i
\(555\) −5.31837 11.6456i −0.225752 0.494329i
\(556\) 14.5288 + 4.26603i 0.616157 + 0.180920i
\(557\) 5.14454 + 5.93712i 0.217981 + 0.251564i 0.854200 0.519945i \(-0.174048\pi\)
−0.636218 + 0.771509i \(0.719502\pi\)
\(558\) 18.7799 5.51428i 0.795017 0.233438i
\(559\) 9.18441 + 5.90246i 0.388459 + 0.249648i
\(560\) 1.46965 3.21808i 0.0621040 0.135989i
\(561\) 32.1610 37.1158i 1.35784 1.56703i
\(562\) −4.59927 + 2.95577i −0.194009 + 0.124682i
\(563\) 1.28394 + 8.92997i 0.0541114 + 0.376353i 0.998825 + 0.0484572i \(0.0154305\pi\)
−0.944714 + 0.327896i \(0.893660\pi\)
\(564\) 3.15010 + 21.9094i 0.132643 + 0.922552i
\(565\) −6.11185 + 3.92785i −0.257128 + 0.165246i
\(566\) −0.217288 + 0.250763i −0.00913328 + 0.0105404i
\(567\) 54.3933 119.105i 2.28430 5.00192i
\(568\) −7.59260 4.87947i −0.318579 0.204738i
\(569\) −34.9157 + 10.2522i −1.46374 + 0.429793i −0.914059 0.405581i \(-0.867069\pi\)
−0.549682 + 0.835374i \(0.685251\pi\)
\(570\) 3.94582 + 4.55371i 0.165272 + 0.190734i
\(571\) 23.0743 + 6.77521i 0.965628 + 0.283534i 0.726279 0.687400i \(-0.241248\pi\)
0.239348 + 0.970934i \(0.423066\pi\)
\(572\) −3.36595 7.37040i −0.140737 0.308172i
\(573\) 9.28622 64.5870i 0.387937 2.69816i
\(574\) −29.4736 −1.23020
\(575\) 0.144077 + 4.79367i 0.00600845 + 0.199910i
\(576\) 8.44702 0.351959
\(577\) 1.51041 10.5051i 0.0628791 0.437333i −0.933926 0.357465i \(-0.883641\pi\)
0.996805 0.0798681i \(-0.0254499\pi\)
\(578\) −0.811594 1.77714i −0.0337579 0.0739194i
\(579\) 45.1761 + 13.2649i 1.87745 + 0.551270i
\(580\) 2.90864 + 3.35675i 0.120775 + 0.139381i
\(581\) 4.77593 1.40234i 0.198139 0.0581788i
\(582\) 32.6660 + 20.9932i 1.35405 + 0.870194i
\(583\) −11.1270 + 24.3647i −0.460832 + 1.00908i
\(584\) 1.60400 1.85111i 0.0663739 0.0765995i
\(585\) −17.2690 + 11.0981i −0.713987 + 0.458851i
\(586\) −2.28603 15.8997i −0.0944350 0.656810i
\(587\) −4.57225 31.8007i −0.188717 1.31256i −0.835335 0.549742i \(-0.814726\pi\)
0.646617 0.762814i \(-0.276183\pi\)
\(588\) 15.6997 10.0896i 0.647444 0.416087i
\(589\) −2.70233 + 3.11866i −0.111348 + 0.128502i
\(590\) −5.78281 + 12.6626i −0.238075 + 0.521311i
\(591\) 19.3877 + 12.4597i 0.797501 + 0.512523i
\(592\) 3.63071 1.06607i 0.149221 0.0438154i
\(593\) −15.2607 17.6118i −0.626682 0.723229i 0.350280 0.936645i \(-0.386086\pi\)
−0.976961 + 0.213416i \(0.931541\pi\)
\(594\) 58.9569 + 17.3113i 2.41903 + 0.710291i
\(595\) −6.39824 14.0102i −0.262302 0.574362i
\(596\) −0.638482 + 4.44074i −0.0261533 + 0.181900i
\(597\) −74.6399 −3.05481
\(598\) 6.59272 + 9.61085i 0.269596 + 0.393017i
\(599\) 9.23034 0.377141 0.188571 0.982060i \(-0.439615\pi\)
0.188571 + 0.982060i \(0.439615\pi\)
\(600\) 0.481500 3.34891i 0.0196572 0.136719i
\(601\) 16.2641 + 35.6133i 0.663425 + 1.45270i 0.879296 + 0.476276i \(0.158014\pi\)
−0.215871 + 0.976422i \(0.569259\pi\)
\(602\) −15.2497 4.47770i −0.621530 0.182498i
\(603\) 20.3197 + 23.4501i 0.827481 + 0.954964i
\(604\) 9.00108 2.64296i 0.366249 0.107540i
\(605\) 0.0981583 + 0.0630825i 0.00399070 + 0.00256467i
\(606\) −10.7024 + 23.4350i −0.434756 + 0.951982i
\(607\) 0.419175 0.483753i 0.0170138 0.0196349i −0.747179 0.664623i \(-0.768592\pi\)
0.764193 + 0.644988i \(0.223138\pi\)
\(608\) −1.49820 + 0.962832i −0.0607599 + 0.0390480i
\(609\) 7.56604 + 52.6230i 0.306592 + 2.13239i
\(610\) −1.51386 10.5291i −0.0612943 0.426312i
\(611\) 13.3749 8.59556i 0.541092 0.347739i
\(612\) 24.0824 27.7925i 0.973472 1.12345i
\(613\) −1.91972 + 4.20361i −0.0775369 + 0.169782i −0.944431 0.328711i \(-0.893386\pi\)
0.866894 + 0.498493i \(0.166113\pi\)
\(614\) −27.3672 17.5878i −1.10445 0.709787i
\(615\) −27.0451 + 7.94117i −1.09057 + 0.320219i
\(616\) 7.72446 + 8.91450i 0.311227 + 0.359175i
\(617\) 23.3444 + 6.85452i 0.939809 + 0.275953i 0.715538 0.698574i \(-0.246182\pi\)
0.224271 + 0.974527i \(0.428000\pi\)
\(618\) 14.3946 + 31.5197i 0.579034 + 1.26791i
\(619\) −5.29251 + 36.8102i −0.212724 + 1.47953i 0.551283 + 0.834318i \(0.314138\pi\)
−0.764007 + 0.645208i \(0.776771\pi\)
\(620\) 2.31712 0.0930578
\(621\) −87.8218 9.94434i −3.52417 0.399053i
\(622\) 1.98622 0.0796404
\(623\) −8.26069 + 57.4544i −0.330958 + 2.30186i
\(624\) −3.41559 7.47910i −0.136733 0.299404i
\(625\) −0.959493 0.281733i −0.0383797 0.0112693i
\(626\) −2.53433 2.92477i −0.101292 0.116897i
\(627\) −19.2760 + 5.65995i −0.769810 + 0.226037i
\(628\) 2.38031 + 1.52973i 0.0949847 + 0.0610430i
\(629\) 6.84352 14.9852i 0.272869 0.597500i
\(630\) 19.5697 22.5846i 0.779675 0.899793i
\(631\) 30.7487 19.7610i 1.22409 0.786672i 0.241126 0.970494i \(-0.422483\pi\)
0.982960 + 0.183822i \(0.0588470\pi\)
\(632\) −0.327316 2.27653i −0.0130199 0.0905556i
\(633\) −1.45034 10.0873i −0.0576457 0.400935i
\(634\) 1.75744 1.12944i 0.0697967 0.0448556i
\(635\) −4.17444 + 4.81756i −0.165658 + 0.191179i
\(636\) −11.2911 + 24.7240i −0.447721 + 0.980371i
\(637\) −11.2767 7.24710i −0.446799 0.287141i
\(638\) −14.2092 + 4.17221i −0.562549 + 0.165179i
\(639\) −49.9248 57.6163i −1.97499 2.27926i
\(640\) 0.959493 + 0.281733i 0.0379273 + 0.0111365i
\(641\) 4.62164 + 10.1200i 0.182544 + 0.399715i 0.978677 0.205407i \(-0.0658517\pi\)
−0.796133 + 0.605122i \(0.793124\pi\)
\(642\) −0.767779 + 5.34002i −0.0303018 + 0.210754i
\(643\) −9.80294 −0.386590 −0.193295 0.981141i \(-0.561917\pi\)
−0.193295 + 0.981141i \(0.561917\pi\)
\(644\) −13.1505 10.7205i −0.518203 0.422448i
\(645\) −15.1996 −0.598485
\(646\) −1.10341 + 7.67442i −0.0434133 + 0.301946i
\(647\) 10.5963 + 23.2027i 0.416584 + 0.912191i 0.995316 + 0.0966734i \(0.0308202\pi\)
−0.578733 + 0.815517i \(0.696452\pi\)
\(648\) 35.5119 + 10.4272i 1.39504 + 0.409620i
\(649\) −30.3944 35.0770i −1.19308 1.37689i
\(650\) −2.33174 + 0.684660i −0.0914582 + 0.0268546i
\(651\) 23.3321 + 14.9946i 0.914455 + 0.587685i
\(652\) 2.95561 6.47189i 0.115751 0.253459i
\(653\) −27.8364 + 32.1249i −1.08932 + 1.25715i −0.125074 + 0.992147i \(0.539917\pi\)
−0.964249 + 0.264999i \(0.914629\pi\)
\(654\) −16.9253 + 10.8773i −0.661833 + 0.425334i
\(655\) 1.42552 + 9.91471i 0.0556997 + 0.387400i
\(656\) −1.18564 8.24628i −0.0462913 0.321963i
\(657\) 17.4054 11.1858i 0.679051 0.436399i
\(658\) −15.1568 + 17.4919i −0.590874 + 0.681905i
\(659\) −13.8736 + 30.3789i −0.540437 + 1.18339i 0.420669 + 0.907214i \(0.361795\pi\)
−0.961106 + 0.276179i \(0.910932\pi\)
\(660\) 9.48988 + 6.09877i 0.369393 + 0.237394i
\(661\) 28.1443 8.26392i 1.09469 0.321429i 0.315947 0.948777i \(-0.397678\pi\)
0.778739 + 0.627348i \(0.215859\pi\)
\(662\) 8.39176 + 9.68461i 0.326155 + 0.376403i
\(663\) −34.3457 10.0848i −1.33388 0.391662i
\(664\) 0.584476 + 1.27982i 0.0226821 + 0.0496668i
\(665\) −0.896650 + 6.23634i −0.0347706 + 0.241835i
\(666\) 31.9635 1.23856
\(667\) 19.1017 9.42697i 0.739621 0.365014i
\(668\) 3.99110 0.154420
\(669\) 0.972746 6.76560i 0.0376085 0.261573i
\(670\) 1.52597 + 3.34141i 0.0589534 + 0.129090i
\(671\) 34.0302 + 9.99217i 1.31372 + 0.385743i
\(672\) 7.83838 + 9.04598i 0.302372 + 0.348956i
\(673\) 37.1884 10.9195i 1.43351 0.420916i 0.529456 0.848337i \(-0.322396\pi\)
0.904053 + 0.427421i \(0.140578\pi\)
\(674\) −9.68889 6.22667i −0.373202 0.239843i
\(675\) 7.65574 16.7637i 0.294670 0.645236i
\(676\) 4.64574 5.36147i 0.178682 0.206211i
\(677\) −5.19887 + 3.34111i −0.199809 + 0.128409i −0.636719 0.771096i \(-0.719709\pi\)
0.436911 + 0.899505i \(0.356073\pi\)
\(678\) −3.49818 24.3304i −0.134347 0.934403i
\(679\) 5.77836 + 40.1893i 0.221753 + 1.54233i
\(680\) 3.66247 2.35373i 0.140449 0.0902612i
\(681\) 27.4550 31.6847i 1.05208 1.21416i
\(682\) −3.20936 + 7.02752i −0.122893 + 0.269097i
\(683\) −11.9685 7.69168i −0.457961 0.294314i 0.291248 0.956648i \(-0.405930\pi\)
−0.749209 + 0.662334i \(0.769566\pi\)
\(684\) −14.4340 + 4.23821i −0.551898 + 0.162052i
\(685\) −4.98951 5.75821i −0.190640 0.220010i
\(686\) −5.03769 1.47920i −0.192340 0.0564760i
\(687\) 36.7051 + 80.3730i 1.40039 + 3.06642i
\(688\) 0.639348 4.44676i 0.0243749 0.169531i
\(689\) 19.5229 0.743764
\(690\) −14.9555 6.29405i −0.569345 0.239610i
\(691\) −18.7466 −0.713153 −0.356576 0.934266i \(-0.616056\pi\)
−0.356576 + 0.934266i \(0.616056\pi\)
\(692\) 3.61524 25.1445i 0.137431 0.955851i
\(693\) 41.3909 + 90.6334i 1.57231 + 3.44288i
\(694\) −4.12956 1.21255i −0.156756 0.0460277i
\(695\) 9.91599 + 11.4437i 0.376135 + 0.434083i
\(696\) −14.4188 + 4.23374i −0.546543 + 0.160480i
\(697\) −30.5123 19.6091i −1.15574 0.742746i
\(698\) 3.99806 8.75454i 0.151329 0.331364i
\(699\) −31.2897 + 36.1102i −1.18348 + 1.36581i
\(700\) 2.97617 1.91267i 0.112489 0.0722922i
\(701\) −6.53534 45.4543i −0.246836 1.71678i −0.616277 0.787530i \(-0.711360\pi\)
0.369441 0.929254i \(-0.379549\pi\)
\(702\) −6.37372 44.3302i −0.240560 1.67313i
\(703\) −5.66916 + 3.64335i −0.213816 + 0.137411i
\(704\) −2.18342 + 2.51980i −0.0822906 + 0.0949684i
\(705\) −9.19509 + 20.1344i −0.346307 + 0.758307i
\(706\) 24.4362 + 15.7042i 0.919667 + 0.591034i
\(707\) −25.8480 + 7.58964i −0.972112 + 0.285438i
\(708\) −30.8427 35.5943i −1.15914 1.33772i
\(709\) 2.24684 + 0.659733i 0.0843820 + 0.0247768i 0.323651 0.946177i \(-0.395090\pi\)
−0.239269 + 0.970953i \(0.576908\pi\)
\(710\) −3.74926 8.20974i −0.140707 0.308106i
\(711\) 2.76484 19.2299i 0.103690 0.721178i
\(712\) −16.4072 −0.614887
\(713\) 2.80902 10.7516i 0.105199 0.402651i
\(714\) 52.1104 1.95018
\(715\) 1.15312 8.02014i 0.0431243 0.299936i
\(716\) 8.17527 + 17.9013i 0.305524 + 0.669005i
\(717\) −16.1913 4.75421i −0.604677 0.177549i
\(718\) −16.2996 18.8108i −0.608297 0.702012i
\(719\) −9.05495 + 2.65877i −0.337693 + 0.0991555i −0.446182 0.894942i \(-0.647217\pi\)
0.108490 + 0.994098i \(0.465399\pi\)
\(720\) 7.10608 + 4.56680i 0.264828 + 0.170195i
\(721\) −15.0516 + 32.9585i −0.560552 + 1.22744i
\(722\) −10.3654 + 11.9623i −0.385759 + 0.445190i
\(723\) −4.79547 + 3.08186i −0.178346 + 0.114616i
\(724\) −1.21103 8.42288i −0.0450075 0.313034i
\(725\) 0.632108 + 4.39641i 0.0234759 + 0.163278i
\(726\) −0.332103 + 0.213430i −0.0123255 + 0.00792112i
\(727\) 12.8019 14.7741i 0.474795 0.547943i −0.466944 0.884287i \(-0.654645\pi\)
0.941739 + 0.336344i \(0.109191\pi\)
\(728\) 3.57150 7.82050i 0.132369 0.289847i
\(729\) 105.642 + 67.8919i 3.91266 + 2.51452i
\(730\) 2.35015 0.690068i 0.0869831 0.0255405i
\(731\) −12.8080 14.7813i −0.473723 0.546705i
\(732\) 34.5321 + 10.1395i 1.27634 + 0.374768i
\(733\) −1.39238 3.04890i −0.0514289 0.112614i 0.882173 0.470925i \(-0.156080\pi\)
−0.933602 + 0.358312i \(0.883353\pi\)
\(734\) 4.57139 31.7947i 0.168733 1.17356i
\(735\) 18.6622 0.688367
\(736\) 2.47045 4.11058i 0.0910619 0.151518i
\(737\) −12.2476 −0.451147
\(738\) 10.0151 69.6565i 0.368660 2.56409i
\(739\) −12.2408 26.8035i −0.450284 0.985984i −0.989595 0.143878i \(-0.954043\pi\)
0.539312 0.842106i \(-0.318684\pi\)
\(740\) 3.63071 + 1.06607i 0.133468 + 0.0391897i
\(741\) 9.58902 + 11.0663i 0.352262 + 0.406532i
\(742\) −27.2697 + 8.00711i −1.00110 + 0.293950i
\(743\) −21.6886 13.9384i −0.795677 0.511350i 0.0785257 0.996912i \(-0.474979\pi\)
−0.874202 + 0.485562i \(0.838615\pi\)
\(744\) −3.25669 + 7.13116i −0.119396 + 0.261441i
\(745\) −2.93797 + 3.39060i −0.107639 + 0.124222i
\(746\) −17.3965 + 11.1801i −0.636931 + 0.409331i
\(747\) 1.69137 + 11.7637i 0.0618839 + 0.430412i
\(748\) 2.06578 + 14.3678i 0.0755325 + 0.525340i
\(749\) −4.74568 + 3.04986i −0.173403 + 0.111439i
\(750\) 2.21562 2.55696i 0.0809030 0.0933670i
\(751\) 1.58875 3.47887i 0.0579741 0.126946i −0.878428 0.477875i \(-0.841407\pi\)
0.936402 + 0.350930i \(0.114134\pi\)
\(752\) −5.50370 3.53701i −0.200699 0.128982i
\(753\) 76.7770 22.5438i 2.79791 0.821540i
\(754\) 7.06851 + 8.15749i 0.257420 + 0.297078i
\(755\) 9.00108 + 2.64296i 0.327583 + 0.0961870i
\(756\) 27.0844 + 59.3065i 0.985049 + 2.15696i
\(757\) −4.27139 + 29.7081i −0.155246 + 1.07976i 0.752001 + 0.659162i \(0.229089\pi\)
−0.907247 + 0.420599i \(0.861820\pi\)
\(758\) 26.0645 0.946705
\(759\) 39.8033 36.6403i 1.44477 1.32996i
\(760\) −1.78091 −0.0646003
\(761\) −6.80297 + 47.3157i −0.246607 + 1.71519i 0.370939 + 0.928657i \(0.379036\pi\)
−0.617546 + 0.786535i \(0.711873\pi\)
\(762\) −8.95938 19.6183i −0.324564 0.710696i
\(763\) −20.1854 5.92697i −0.730761 0.214571i
\(764\) 12.6297 + 14.5754i 0.456925 + 0.527319i
\(765\) 35.2852 10.3607i 1.27574 0.374590i
\(766\) −9.19573 5.90973i −0.332255 0.213527i
\(767\) −14.0532 + 30.7723i −0.507433 + 1.11112i
\(768\) −2.21562 + 2.55696i −0.0799493 + 0.0922664i
\(769\) 29.7917 19.1460i