Properties

Label 605.2.j.e.444.1
Level $605$
Weight $2$
Character 605.444
Analytic conductor $4.831$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.j (of order \(10\), degree \(4\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: 16.0.6879707136000000000000.7
Defining polynomial: \( x^{16} - 4x^{14} + 15x^{12} - 56x^{10} + 209x^{8} - 56x^{6} + 15x^{4} - 4x^{2} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 444.1
Root \(1.83730 + 0.596975i\) of defining polynomial
Character \(\chi\) \(=\) 605.444
Dual form 605.2.j.e.124.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.13551 + 1.56290i) q^{2} +(0.492303 + 0.159959i) q^{3} +(-0.535233 - 1.64728i) q^{4} +(0.570005 - 2.16220i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(0.852694 - 0.277057i) q^{7} +(-0.492303 - 0.159959i) q^{8} +(-2.21028 - 1.60586i) q^{9} +O(q^{10})\) \(q+(-1.13551 + 1.56290i) q^{2} +(0.492303 + 0.159959i) q^{3} +(-0.535233 - 1.64728i) q^{4} +(0.570005 - 2.16220i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(0.852694 - 0.277057i) q^{7} +(-0.492303 - 0.159959i) q^{8} +(-2.21028 - 1.60586i) q^{9} +(2.73205 + 3.34607i) q^{10} -0.896575i q^{12} +(-2.49376 + 3.43237i) q^{13} +(-0.535233 + 1.64728i) q^{14} +(0.626478 - 0.973279i) q^{15} +(3.61153 - 2.62393i) q^{16} +(0.608520 + 0.837556i) q^{17} +(5.01960 - 1.63097i) q^{18} +(1.91472 - 5.89289i) q^{19} +(-3.86682 + 0.218323i) q^{20} +0.464102 q^{21} -6.31319i q^{23} +(-0.216775 - 0.157497i) q^{24} +(-4.35019 - 2.46492i) q^{25} +(-2.53275 - 7.79500i) q^{26} +(-1.74403 - 2.40046i) q^{27} +(-0.912780 - 1.25633i) q^{28} +(-2.14093 - 6.58911i) q^{29} +(0.809764 + 2.08429i) q^{30} +(4.26186 + 3.09642i) q^{31} +7.58871i q^{32} -2.00000 q^{34} +(-0.113012 - 2.00162i) q^{35} +(-1.46228 + 4.50045i) q^{36} +(6.36459 - 2.06798i) q^{37} +(7.03582 + 9.68397i) q^{38} +(-1.77672 + 1.29087i) q^{39} +(-0.626478 + 0.973279i) q^{40} +(0.535233 - 1.64728i) q^{41} +(-0.526994 + 0.725345i) q^{42} -10.6945i q^{43} +(-4.73205 + 3.86370i) q^{45} +(9.86689 + 7.16872i) q^{46} +(-3.90308 - 1.26819i) q^{47} +(2.19769 - 0.714073i) q^{48} +(-5.01279 + 3.64201i) q^{49} +(8.79213 - 3.99996i) q^{50} +(0.165602 + 0.509670i) q^{51} +(6.98881 + 2.27080i) q^{52} +(7.03582 - 9.68397i) q^{53} +5.73205 q^{54} -0.464102 q^{56} +(1.88524 - 2.59481i) q^{57} +(12.7292 + 4.13596i) q^{58} +(1.46228 + 4.50045i) q^{59} +(-1.93857 - 0.511052i) q^{60} +(-6.68891 + 4.85978i) q^{61} +(-9.67880 + 3.14483i) q^{62} +(-2.32960 - 0.756934i) q^{63} +(-4.63733 - 3.36921i) q^{64} +(6.00000 + 7.34847i) q^{65} +14.9372i q^{67} +(1.05399 - 1.45069i) q^{68} +(1.00985 - 3.10800i) q^{69} +(3.25665 + 2.09624i) q^{70} +(-1.77672 + 1.29087i) q^{71} +(0.831254 + 1.14412i) q^{72} +(4.65921 - 1.51387i) q^{73} +(-3.99503 + 12.2955i) q^{74} +(-1.74732 - 1.90934i) q^{75} -10.7321 q^{76} -4.24264i q^{78} +(4.42055 + 3.21172i) q^{79} +(-3.61487 - 9.30450i) q^{80} +(2.05813 + 6.33428i) q^{81} +(1.96677 + 2.70702i) q^{82} +(-5.81878 - 8.00886i) q^{83} +(-0.248403 - 0.764504i) q^{84} +(2.15782 - 0.838329i) q^{85} +(16.7145 + 12.1438i) q^{86} -3.58630i q^{87} +6.46410 q^{89} +(-0.665276 - 11.7830i) q^{90} +(-1.17545 + 3.61767i) q^{91} +(-10.3996 + 3.37903i) q^{92} +(1.60283 + 2.20610i) q^{93} +(6.41405 - 4.66008i) q^{94} +(-11.6502 - 7.49897i) q^{95} +(-1.21388 + 3.73594i) q^{96} +(-0.385786 + 0.530989i) q^{97} -11.9700i q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{6} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 4 q^{6} - 4 q^{9} + 16 q^{10} - 4 q^{15} + 4 q^{16} - 4 q^{19} - 12 q^{20} - 48 q^{21} - 8 q^{24} - 4 q^{25} + 12 q^{26} + 28 q^{31} - 32 q^{34} - 12 q^{35} + 12 q^{36} + 12 q^{39} + 4 q^{40} - 48 q^{45} + 28 q^{46} - 4 q^{49} + 24 q^{50} - 16 q^{51} + 64 q^{54} + 48 q^{56} - 12 q^{59} - 12 q^{60} - 40 q^{61} - 16 q^{64} + 96 q^{65} - 20 q^{69} - 12 q^{70} + 12 q^{71} + 24 q^{74} - 24 q^{75} - 144 q^{76} + 8 q^{79} - 24 q^{80} + 8 q^{81} + 24 q^{84} + 8 q^{85} + 48 q^{86} + 48 q^{89} - 16 q^{90} + 36 q^{91} + 4 q^{94} + 36 q^{95} - 12 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13551 + 1.56290i −0.802930 + 1.10514i 0.189446 + 0.981891i \(0.439331\pi\)
−0.992376 + 0.123247i \(0.960669\pi\)
\(3\) 0.492303 + 0.159959i 0.284231 + 0.0923524i 0.447663 0.894202i \(-0.352256\pi\)
−0.163432 + 0.986555i \(0.552256\pi\)
\(4\) −0.535233 1.64728i −0.267617 0.823639i
\(5\) 0.570005 2.16220i 0.254914 0.966964i
\(6\) −0.809017 + 0.587785i −0.330280 + 0.239962i
\(7\) 0.852694 0.277057i 0.322288 0.104718i −0.143405 0.989664i \(-0.545805\pi\)
0.465693 + 0.884946i \(0.345805\pi\)
\(8\) −0.492303 0.159959i −0.174055 0.0565540i
\(9\) −2.21028 1.60586i −0.736759 0.535286i
\(10\) 2.73205 + 3.34607i 0.863950 + 1.05812i
\(11\) 0 0
\(12\) 0.896575i 0.258819i
\(13\) −2.49376 + 3.43237i −0.691645 + 0.951968i 0.308355 + 0.951271i \(0.400222\pi\)
−1.00000 0.000696272i \(0.999778\pi\)
\(14\) −0.535233 + 1.64728i −0.143047 + 0.440254i
\(15\) 0.626478 0.973279i 0.161756 0.251299i
\(16\) 3.61153 2.62393i 0.902884 0.655983i
\(17\) 0.608520 + 0.837556i 0.147588 + 0.203137i 0.876410 0.481566i \(-0.159932\pi\)
−0.728822 + 0.684703i \(0.759932\pi\)
\(18\) 5.01960 1.63097i 1.18313 0.384422i
\(19\) 1.91472 5.89289i 0.439266 1.35192i −0.449385 0.893338i \(-0.648357\pi\)
0.888651 0.458584i \(-0.151643\pi\)
\(20\) −3.86682 + 0.218323i −0.864648 + 0.0488185i
\(21\) 0.464102 0.101275
\(22\) 0 0
\(23\) 6.31319i 1.31639i −0.752847 0.658196i \(-0.771320\pi\)
0.752847 0.658196i \(-0.228680\pi\)
\(24\) −0.216775 0.157497i −0.0442491 0.0321489i
\(25\) −4.35019 2.46492i −0.870038 0.492985i
\(26\) −2.53275 7.79500i −0.496713 1.52873i
\(27\) −1.74403 2.40046i −0.335639 0.461968i
\(28\) −0.912780 1.25633i −0.172499 0.237425i
\(29\) −2.14093 6.58911i −0.397561 1.22357i −0.926949 0.375188i \(-0.877578\pi\)
0.529388 0.848380i \(-0.322422\pi\)
\(30\) 0.809764 + 2.08429i 0.147842 + 0.380538i
\(31\) 4.26186 + 3.09642i 0.765453 + 0.556134i 0.900578 0.434695i \(-0.143144\pi\)
−0.135125 + 0.990829i \(0.543144\pi\)
\(32\) 7.58871i 1.34151i
\(33\) 0 0
\(34\) −2.00000 −0.342997
\(35\) −0.113012 2.00162i −0.0191026 0.338335i
\(36\) −1.46228 + 4.50045i −0.243714 + 0.750075i
\(37\) 6.36459 2.06798i 1.04633 0.339974i 0.265105 0.964220i \(-0.414594\pi\)
0.781228 + 0.624246i \(0.214594\pi\)
\(38\) 7.03582 + 9.68397i 1.14136 + 1.57095i
\(39\) −1.77672 + 1.29087i −0.284504 + 0.206704i
\(40\) −0.626478 + 0.973279i −0.0990548 + 0.153889i
\(41\) 0.535233 1.64728i 0.0835894 0.257262i −0.900523 0.434808i \(-0.856816\pi\)
0.984112 + 0.177547i \(0.0568161\pi\)
\(42\) −0.526994 + 0.725345i −0.0813169 + 0.111923i
\(43\) 10.6945i 1.63090i −0.578827 0.815451i \(-0.696489\pi\)
0.578827 0.815451i \(-0.303511\pi\)
\(44\) 0 0
\(45\) −4.73205 + 3.86370i −0.705412 + 0.575967i
\(46\) 9.86689 + 7.16872i 1.45479 + 1.05697i
\(47\) −3.90308 1.26819i −0.569323 0.184984i 0.0101891 0.999948i \(-0.496757\pi\)
−0.579512 + 0.814964i \(0.696757\pi\)
\(48\) 2.19769 0.714073i 0.317209 0.103068i
\(49\) −5.01279 + 3.64201i −0.716113 + 0.520287i
\(50\) 8.79213 3.99996i 1.24340 0.565680i
\(51\) 0.165602 + 0.509670i 0.0231889 + 0.0713680i
\(52\) 6.98881 + 2.27080i 0.969174 + 0.314904i
\(53\) 7.03582 9.68397i 0.966444 1.33020i 0.0226209 0.999744i \(-0.492799\pi\)
0.943823 0.330452i \(-0.107201\pi\)
\(54\) 5.73205 0.780033
\(55\) 0 0
\(56\) −0.464102 −0.0620182
\(57\) 1.88524 2.59481i 0.249706 0.343691i
\(58\) 12.7292 + 4.13596i 1.67142 + 0.543079i
\(59\) 1.46228 + 4.50045i 0.190373 + 0.585908i 0.999999 0.00103733i \(-0.000330192\pi\)
−0.809626 + 0.586946i \(0.800330\pi\)
\(60\) −1.93857 0.511052i −0.250269 0.0659766i
\(61\) −6.68891 + 4.85978i −0.856427 + 0.622231i −0.926911 0.375282i \(-0.877546\pi\)
0.0704833 + 0.997513i \(0.477546\pi\)
\(62\) −9.67880 + 3.14483i −1.22921 + 0.399394i
\(63\) −2.32960 0.756934i −0.293502 0.0953647i
\(64\) −4.63733 3.36921i −0.579666 0.421152i
\(65\) 6.00000 + 7.34847i 0.744208 + 0.911465i
\(66\) 0 0
\(67\) 14.9372i 1.82487i 0.409226 + 0.912433i \(0.365799\pi\)
−0.409226 + 0.912433i \(0.634201\pi\)
\(68\) 1.05399 1.45069i 0.127815 0.175922i
\(69\) 1.00985 3.10800i 0.121572 0.374160i
\(70\) 3.25665 + 2.09624i 0.389245 + 0.250548i
\(71\) −1.77672 + 1.29087i −0.210858 + 0.153198i −0.688202 0.725519i \(-0.741600\pi\)
0.477344 + 0.878717i \(0.341600\pi\)
\(72\) 0.831254 + 1.14412i 0.0979642 + 0.134836i
\(73\) 4.65921 1.51387i 0.545319 0.177185i −0.0233860 0.999727i \(-0.507445\pi\)
0.568705 + 0.822542i \(0.307445\pi\)
\(74\) −3.99503 + 12.2955i −0.464413 + 1.42932i
\(75\) −1.74732 1.90934i −0.201764 0.220472i
\(76\) −10.7321 −1.23105
\(77\) 0 0
\(78\) 4.24264i 0.480384i
\(79\) 4.42055 + 3.21172i 0.497351 + 0.361347i 0.808004 0.589177i \(-0.200548\pi\)
−0.310653 + 0.950523i \(0.600548\pi\)
\(80\) −3.61487 9.30450i −0.404155 1.04027i
\(81\) 2.05813 + 6.33428i 0.228681 + 0.703809i
\(82\) 1.96677 + 2.70702i 0.217193 + 0.298941i
\(83\) −5.81878 8.00886i −0.638694 0.879087i 0.359851 0.933010i \(-0.382827\pi\)
−0.998545 + 0.0539231i \(0.982827\pi\)
\(84\) −0.248403 0.764504i −0.0271029 0.0834143i
\(85\) 2.15782 0.838329i 0.234048 0.0909296i
\(86\) 16.7145 + 12.1438i 1.80237 + 1.30950i
\(87\) 3.58630i 0.384492i
\(88\) 0 0
\(89\) 6.46410 0.685193 0.342597 0.939483i \(-0.388694\pi\)
0.342597 + 0.939483i \(0.388694\pi\)
\(90\) −0.665276 11.7830i −0.0701262 1.24204i
\(91\) −1.17545 + 3.61767i −0.123221 + 0.379235i
\(92\) −10.3996 + 3.37903i −1.08423 + 0.352288i
\(93\) 1.60283 + 2.20610i 0.166205 + 0.228762i
\(94\) 6.41405 4.66008i 0.661559 0.480651i
\(95\) −11.6502 7.49897i −1.19528 0.769378i
\(96\) −1.21388 + 3.73594i −0.123891 + 0.381298i
\(97\) −0.385786 + 0.530989i −0.0391707 + 0.0539138i −0.828153 0.560502i \(-0.810608\pi\)
0.788982 + 0.614416i \(0.210608\pi\)
\(98\) 11.9700i 1.20916i
\(99\) 0 0
\(100\) −1.73205 + 8.48528i −0.173205 + 0.848528i
\(101\) −1.12640 0.818376i −0.112081 0.0814315i 0.530333 0.847789i \(-0.322067\pi\)
−0.642414 + 0.766358i \(0.722067\pi\)
\(102\) −0.984606 0.319918i −0.0974905 0.0316766i
\(103\) −4.03499 + 1.31105i −0.397579 + 0.129181i −0.500981 0.865458i \(-0.667027\pi\)
0.103401 + 0.994640i \(0.467027\pi\)
\(104\) 1.77672 1.29087i 0.174222 0.126580i
\(105\) 0.264540 1.00348i 0.0258165 0.0979295i
\(106\) 7.14582 + 21.9926i 0.694063 + 2.13611i
\(107\) −4.16690 1.35391i −0.402830 0.130887i 0.100593 0.994928i \(-0.467926\pi\)
−0.503423 + 0.864040i \(0.667926\pi\)
\(108\) −3.02076 + 4.15771i −0.290672 + 0.400076i
\(109\) −1.19615 −0.114571 −0.0572853 0.998358i \(-0.518244\pi\)
−0.0572853 + 0.998358i \(0.518244\pi\)
\(110\) 0 0
\(111\) 3.46410 0.328798
\(112\) 2.35255 3.23801i 0.222295 0.305963i
\(113\) 2.68999 + 0.874032i 0.253053 + 0.0822220i 0.432797 0.901492i \(-0.357527\pi\)
−0.179743 + 0.983714i \(0.557527\pi\)
\(114\) 1.91472 + 5.89289i 0.179330 + 0.551920i
\(115\) −13.6504 3.59855i −1.27290 0.335566i
\(116\) −9.70820 + 7.05342i −0.901384 + 0.654894i
\(117\) 11.0238 3.58185i 1.01915 0.331142i
\(118\) −8.69420 2.82492i −0.800366 0.260055i
\(119\) 0.750932 + 0.545584i 0.0688378 + 0.0500136i
\(120\) −0.464102 + 0.378937i −0.0423665 + 0.0345921i
\(121\) 0 0
\(122\) 15.9725i 1.44608i
\(123\) 0.526994 0.725345i 0.0475174 0.0654021i
\(124\) 2.81958 8.67778i 0.253206 0.779287i
\(125\) −7.80928 + 8.00095i −0.698483 + 0.715626i
\(126\) 3.82831 2.78143i 0.341053 0.247789i
\(127\) 1.96677 + 2.70702i 0.174522 + 0.240210i 0.887313 0.461167i \(-0.152569\pi\)
−0.712791 + 0.701377i \(0.752569\pi\)
\(128\) −3.90308 + 1.26819i −0.344987 + 0.112093i
\(129\) 1.71069 5.26495i 0.150618 0.463553i
\(130\) −18.2980 + 1.03312i −1.60484 + 0.0906103i
\(131\) −21.1244 −1.84564 −0.922822 0.385227i \(-0.874123\pi\)
−0.922822 + 0.385227i \(0.874123\pi\)
\(132\) 0 0
\(133\) 5.55532i 0.481707i
\(134\) −23.3453 16.9614i −2.01673 1.46524i
\(135\) −6.18437 + 2.40267i −0.532266 + 0.206789i
\(136\) −0.165602 0.509670i −0.0142002 0.0437038i
\(137\) −8.08980 11.1347i −0.691159 0.951298i −1.00000 0.000184728i \(-0.999941\pi\)
0.308841 0.951114i \(-0.400059\pi\)
\(138\) 3.71080 + 5.10748i 0.315884 + 0.434778i
\(139\) 5.12612 + 15.7766i 0.434791 + 1.33815i 0.893300 + 0.449461i \(0.148384\pi\)
−0.458509 + 0.888690i \(0.651616\pi\)
\(140\) −3.23673 + 1.25749i −0.273554 + 0.106278i
\(141\) −1.71864 1.24866i −0.144736 0.105157i
\(142\) 4.24264i 0.356034i
\(143\) 0 0
\(144\) −12.1962 −1.01635
\(145\) −15.4673 + 0.873292i −1.28449 + 0.0725230i
\(146\) −2.92457 + 9.00090i −0.242039 + 0.744919i
\(147\) −3.05038 + 0.991130i −0.251592 + 0.0817470i
\(148\) −6.81308 9.37740i −0.560032 0.770818i
\(149\) 11.1095 8.07150i 0.910123 0.661243i −0.0309232 0.999522i \(-0.509845\pi\)
0.941046 + 0.338279i \(0.109845\pi\)
\(150\) 4.96822 0.562811i 0.405654 0.0459534i
\(151\) 1.91472 5.89289i 0.155817 0.479557i −0.842425 0.538813i \(-0.818873\pi\)
0.998243 + 0.0592563i \(0.0188729\pi\)
\(152\) −1.88524 + 2.59481i −0.152913 + 0.210467i
\(153\) 2.82843i 0.228665i
\(154\) 0 0
\(155\) 9.12436 7.45001i 0.732886 0.598399i
\(156\) 3.07738 + 2.23585i 0.246387 + 0.179011i
\(157\) 11.4808 + 3.73032i 0.916264 + 0.297712i 0.728933 0.684585i \(-0.240016\pi\)
0.187331 + 0.982297i \(0.440016\pi\)
\(158\) −10.0392 + 3.26193i −0.798675 + 0.259505i
\(159\) 5.01279 3.64201i 0.397540 0.288830i
\(160\) 16.4083 + 4.32560i 1.29719 + 0.341969i
\(161\) −1.74911 5.38322i −0.137850 0.424257i
\(162\) −12.2369 3.97601i −0.961421 0.312384i
\(163\) −4.46053 + 6.13939i −0.349376 + 0.480874i −0.947150 0.320790i \(-0.896052\pi\)
0.597775 + 0.801664i \(0.296052\pi\)
\(164\) −3.00000 −0.234261
\(165\) 0 0
\(166\) 19.1244 1.48434
\(167\) −1.13551 + 1.56290i −0.0878687 + 0.120941i −0.850688 0.525671i \(-0.823814\pi\)
0.762820 + 0.646611i \(0.223814\pi\)
\(168\) −0.228479 0.0742372i −0.0176275 0.00572753i
\(169\) −1.54508 4.75528i −0.118853 0.365791i
\(170\) −1.14001 + 4.32439i −0.0874347 + 0.331666i
\(171\) −13.6952 + 9.95015i −1.04730 + 0.760907i
\(172\) −17.6169 + 5.72407i −1.34327 + 0.436456i
\(173\) 7.25263 + 2.35652i 0.551408 + 0.179163i 0.571451 0.820636i \(-0.306381\pi\)
−0.0200438 + 0.999799i \(0.506381\pi\)
\(174\) 5.60503 + 4.07230i 0.424917 + 0.308720i
\(175\) −4.39230 0.896575i −0.332027 0.0677747i
\(176\) 0 0
\(177\) 2.44949i 0.184115i
\(178\) −7.34008 + 10.1027i −0.550162 + 0.757233i
\(179\) 2.63774 8.11812i 0.197154 0.606777i −0.802791 0.596261i \(-0.796652\pi\)
0.999945 0.0105163i \(-0.00334750\pi\)
\(180\) 8.89734 + 5.72702i 0.663169 + 0.426867i
\(181\) −2.74443 + 1.99395i −0.203992 + 0.148209i −0.685091 0.728457i \(-0.740238\pi\)
0.481099 + 0.876666i \(0.340238\pi\)
\(182\) −4.31932 5.94504i −0.320169 0.440675i
\(183\) −4.07034 + 1.32253i −0.300888 + 0.0977644i
\(184\) −1.00985 + 3.10800i −0.0744473 + 0.229125i
\(185\) −0.843536 14.9403i −0.0620180 1.09843i
\(186\) −5.26795 −0.386265
\(187\) 0 0
\(188\) 7.10823i 0.518421i
\(189\) −2.15219 1.56366i −0.156549 0.113739i
\(190\) 24.9491 9.69291i 1.81000 0.703198i
\(191\) −3.31639 10.2068i −0.239965 0.738537i −0.996424 0.0844956i \(-0.973072\pi\)
0.756459 0.654042i \(-0.226928\pi\)
\(192\) −1.74403 2.40046i −0.125865 0.173238i
\(193\) 6.04151 + 8.31543i 0.434877 + 0.598557i 0.969064 0.246809i \(-0.0793821\pi\)
−0.534187 + 0.845367i \(0.679382\pi\)
\(194\) −0.391818 1.20589i −0.0281309 0.0865780i
\(195\) 1.77836 + 4.57743i 0.127351 + 0.327796i
\(196\) 8.68241 + 6.30814i 0.620172 + 0.450582i
\(197\) 2.55103i 0.181753i 0.995862 + 0.0908765i \(0.0289669\pi\)
−0.995862 + 0.0908765i \(0.971033\pi\)
\(198\) 0 0
\(199\) 2.00000 0.141776 0.0708881 0.997484i \(-0.477417\pi\)
0.0708881 + 0.997484i \(0.477417\pi\)
\(200\) 1.74732 + 1.90934i 0.123555 + 0.135011i
\(201\) −2.38934 + 7.35362i −0.168531 + 0.518684i
\(202\) 2.55808 0.831171i 0.179986 0.0584810i
\(203\) −3.65112 5.02534i −0.256258 0.352709i
\(204\) 0.750932 0.545584i 0.0525758 0.0381985i
\(205\) −3.25665 2.09624i −0.227455 0.146407i
\(206\) 2.53275 7.79500i 0.176465 0.543104i
\(207\) −10.1381 + 13.9539i −0.704647 + 0.969863i
\(208\) 18.9396i 1.31322i
\(209\) 0 0
\(210\) 1.26795 + 1.55291i 0.0874968 + 0.107161i
\(211\) 8.99979 + 6.53873i 0.619571 + 0.450145i 0.852772 0.522284i \(-0.174920\pi\)
−0.233200 + 0.972429i \(0.574920\pi\)
\(212\) −19.7180 6.40677i −1.35424 0.440018i
\(213\) −1.08117 + 0.351294i −0.0740807 + 0.0240703i
\(214\) 6.84760 4.97507i 0.468092 0.340089i
\(215\) −23.1237 6.09593i −1.57702 0.415739i
\(216\) 0.474619 + 1.46073i 0.0322937 + 0.0993898i
\(217\) 4.49195 + 1.45952i 0.304933 + 0.0990788i
\(218\) 1.35825 1.86947i 0.0919921 0.126616i
\(219\) 2.53590 0.171360
\(220\) 0 0
\(221\) −4.39230 −0.295458
\(222\) −3.93354 + 5.41405i −0.264002 + 0.363367i
\(223\) −5.51190 1.79092i −0.369104 0.119929i 0.118591 0.992943i \(-0.462162\pi\)
−0.487695 + 0.873014i \(0.662162\pi\)
\(224\) 2.10250 + 6.47084i 0.140479 + 0.432351i
\(225\) 5.65680 + 12.4340i 0.377120 + 0.828930i
\(226\) −4.42055 + 3.21172i −0.294051 + 0.213640i
\(227\) 20.4741 6.65245i 1.35892 0.441538i 0.463235 0.886236i \(-0.346689\pi\)
0.895681 + 0.444697i \(0.146689\pi\)
\(228\) −5.28342 1.71669i −0.349903 0.113690i
\(229\) −14.5042 10.5379i −0.958466 0.696366i −0.00567196 0.999984i \(-0.501805\pi\)
−0.952794 + 0.303618i \(0.901805\pi\)
\(230\) 21.1244 17.2480i 1.39290 1.13730i
\(231\) 0 0
\(232\) 3.58630i 0.235452i
\(233\) 7.64434 10.5215i 0.500797 0.689288i −0.481536 0.876426i \(-0.659921\pi\)
0.982334 + 0.187138i \(0.0599211\pi\)
\(234\) −6.91960 + 21.2963i −0.452349 + 1.39219i
\(235\) −4.96684 + 7.71635i −0.324001 + 0.503359i
\(236\) 6.63083 4.81758i 0.431630 0.313598i
\(237\) 1.66251 + 2.28825i 0.107991 + 0.148638i
\(238\) −1.70539 + 0.554114i −0.110544 + 0.0359179i
\(239\) −3.60322 + 11.0896i −0.233073 + 0.717324i 0.764299 + 0.644863i \(0.223085\pi\)
−0.997371 + 0.0724614i \(0.976915\pi\)
\(240\) −0.291272 5.15887i −0.0188016 0.333003i
\(241\) 10.1244 0.652167 0.326084 0.945341i \(-0.394271\pi\)
0.326084 + 0.945341i \(0.394271\pi\)
\(242\) 0 0
\(243\) 12.3490i 0.792188i
\(244\) 11.5855 + 8.41738i 0.741688 + 0.538868i
\(245\) 5.01742 + 12.9146i 0.320551 + 0.825084i
\(246\) 0.535233 + 1.64728i 0.0341252 + 0.105027i
\(247\) 15.4517 + 21.2675i 0.983170 + 1.35322i
\(248\) −1.60283 2.20610i −0.101780 0.140088i
\(249\) −1.58351 4.87355i −0.100351 0.308849i
\(250\) −3.63714 21.2903i −0.230033 1.34652i
\(251\) 11.4849 + 8.34429i 0.724922 + 0.526687i 0.887953 0.459934i \(-0.152127\pi\)
−0.163031 + 0.986621i \(0.552127\pi\)
\(252\) 4.24264i 0.267261i
\(253\) 0 0
\(254\) −6.46410 −0.405594
\(255\) 1.19640 0.0675494i 0.0749215 0.00423011i
\(256\) 5.99255 18.4432i 0.374534 1.15270i
\(257\) 4.75577 1.54524i 0.296657 0.0963897i −0.156907 0.987613i \(-0.550152\pi\)
0.453564 + 0.891224i \(0.350152\pi\)
\(258\) 6.28609 + 8.65206i 0.391355 + 0.538654i
\(259\) 4.85410 3.52671i 0.301619 0.219139i
\(260\) 8.89357 13.8168i 0.551556 0.856882i
\(261\) −5.84914 + 18.0018i −0.362052 + 1.11428i
\(262\) 23.9870 33.0153i 1.48192 2.03969i
\(263\) 21.4906i 1.32517i 0.748988 + 0.662584i \(0.230540\pi\)
−0.748988 + 0.662584i \(0.769460\pi\)
\(264\) 0 0
\(265\) −16.9282 20.7327i −1.03989 1.27360i
\(266\) 8.68241 + 6.30814i 0.532353 + 0.386777i
\(267\) 3.18230 + 1.03399i 0.194753 + 0.0632792i
\(268\) 24.6057 7.99487i 1.50303 0.488364i
\(269\) −15.9636 + 11.5982i −0.973316 + 0.707155i −0.956205 0.292698i \(-0.905447\pi\)
−0.0171109 + 0.999854i \(0.505447\pi\)
\(270\) 3.26730 12.3938i 0.198841 0.754264i
\(271\) −1.40167 4.31390i −0.0851454 0.262051i 0.899415 0.437096i \(-0.143993\pi\)
−0.984560 + 0.175045i \(0.943993\pi\)
\(272\) 4.39538 + 1.42815i 0.266509 + 0.0865941i
\(273\) −1.15736 + 1.59297i −0.0700465 + 0.0964108i
\(274\) 26.5885 1.60627
\(275\) 0 0
\(276\) −5.66025 −0.340707
\(277\) 13.3438 18.3661i 0.801748 1.10351i −0.190796 0.981630i \(-0.561107\pi\)
0.992545 0.121882i \(-0.0388930\pi\)
\(278\) −30.4780 9.90289i −1.82795 0.593936i
\(279\) −4.44747 13.6879i −0.266263 0.819473i
\(280\) −0.264540 + 1.00348i −0.0158093 + 0.0599693i
\(281\) 14.0126 10.1807i 0.835921 0.607332i −0.0853074 0.996355i \(-0.527187\pi\)
0.921228 + 0.389023i \(0.127187\pi\)
\(282\) 3.90308 1.26819i 0.232425 0.0755194i
\(283\) 28.6407 + 9.30592i 1.70251 + 0.553179i 0.989059 0.147524i \(-0.0471303\pi\)
0.713453 + 0.700703i \(0.247130\pi\)
\(284\) 3.07738 + 2.23585i 0.182609 + 0.132673i
\(285\) −4.53590 5.55532i −0.268683 0.329069i
\(286\) 0 0
\(287\) 1.55291i 0.0916656i
\(288\) 12.1864 16.7731i 0.718090 0.988366i
\(289\) 4.92209 15.1486i 0.289534 0.891095i
\(290\) 16.1985 25.1655i 0.951207 1.47777i
\(291\) −0.274860 + 0.199698i −0.0161126 + 0.0117065i
\(292\) −4.98752 6.86474i −0.291873 0.401728i
\(293\) −8.95802 + 2.91064i −0.523333 + 0.170041i −0.558757 0.829331i \(-0.688722\pi\)
0.0354243 + 0.999372i \(0.488722\pi\)
\(294\) 1.91472 5.89289i 0.111669 0.343680i
\(295\) 10.5644 0.596470i 0.615081 0.0347278i
\(296\) −3.46410 −0.201347
\(297\) 0 0
\(298\) 26.5283i 1.53674i
\(299\) 21.6692 + 15.7436i 1.25316 + 0.910476i
\(300\) −2.20999 + 3.90027i −0.127594 + 0.225182i
\(301\) −2.96300 9.11916i −0.170784 0.525620i
\(302\) 7.03582 + 9.68397i 0.404866 + 0.557250i
\(303\) −0.423623 0.583067i −0.0243365 0.0334963i
\(304\) −8.54749 26.3065i −0.490232 1.50878i
\(305\) 6.69509 + 17.2328i 0.383360 + 0.986749i
\(306\) 4.42055 + 3.21172i 0.252706 + 0.183602i
\(307\) 17.6269i 1.00602i −0.864280 0.503010i \(-0.832226\pi\)
0.864280 0.503010i \(-0.167774\pi\)
\(308\) 0 0
\(309\) −2.19615 −0.124935
\(310\) 1.28279 + 22.7200i 0.0728574 + 1.29041i
\(311\) −8.66872 + 26.6796i −0.491558 + 1.51286i 0.330695 + 0.943738i \(0.392717\pi\)
−0.822253 + 0.569122i \(0.807283\pi\)
\(312\) 1.08117 0.351294i 0.0612093 0.0198881i
\(313\) −10.0784 13.8718i −0.569666 0.784078i 0.422849 0.906200i \(-0.361030\pi\)
−0.992515 + 0.122122i \(0.961030\pi\)
\(314\) −18.8667 + 13.7075i −1.06471 + 0.773556i
\(315\) −2.96452 + 4.60560i −0.167032 + 0.259496i
\(316\) 2.92457 9.00090i 0.164520 0.506340i
\(317\) −4.09659 + 5.63847i −0.230087 + 0.316688i −0.908413 0.418073i \(-0.862706\pi\)
0.678326 + 0.734761i \(0.262706\pi\)
\(318\) 11.9700i 0.671247i
\(319\) 0 0
\(320\) −9.92820 + 8.10634i −0.555003 + 0.453158i
\(321\) −1.83481 1.33307i −0.102409 0.0744045i
\(322\) 10.3996 + 3.37903i 0.579546 + 0.188306i
\(323\) 6.10077 1.98226i 0.339456 0.110296i
\(324\) 9.33274 6.78063i 0.518485 0.376702i
\(325\) 19.3089 8.78452i 1.07106 0.487277i
\(326\) −4.53027 13.9427i −0.250908 0.772216i
\(327\) −0.588870 0.191335i −0.0325646 0.0105809i
\(328\) −0.526994 + 0.725345i −0.0290984 + 0.0400505i
\(329\) −3.67949 −0.202857
\(330\) 0 0
\(331\) −7.80385 −0.428938 −0.214469 0.976731i \(-0.568802\pi\)
−0.214469 + 0.976731i \(0.568802\pi\)
\(332\) −10.0784 + 13.8718i −0.553125 + 0.761311i
\(333\) −17.3884 5.64983i −0.952878 0.309609i
\(334\) −1.15327 3.54939i −0.0631040 0.194214i
\(335\) 32.2971 + 8.51426i 1.76458 + 0.465184i
\(336\) 1.67612 1.21777i 0.0914398 0.0664349i
\(337\) 7.44577 2.41928i 0.405597 0.131786i −0.0991115 0.995076i \(-0.531600\pi\)
0.504708 + 0.863290i \(0.331600\pi\)
\(338\) 9.18650 + 2.98487i 0.499680 + 0.162356i
\(339\) 1.18448 + 0.860577i 0.0643323 + 0.0467401i
\(340\) −2.53590 3.10583i −0.137528 0.168437i
\(341\) 0 0
\(342\) 32.7028i 1.76836i
\(343\) −6.95429 + 9.57176i −0.375496 + 0.516826i
\(344\) −1.71069 + 5.26495i −0.0922340 + 0.283867i
\(345\) −6.14450 3.95508i −0.330809 0.212934i
\(346\) −11.9185 + 8.65928i −0.640741 + 0.465526i
\(347\) −1.74403 2.40046i −0.0936246 0.128863i 0.759635 0.650350i \(-0.225378\pi\)
−0.853260 + 0.521487i \(0.825378\pi\)
\(348\) −5.90764 + 1.91951i −0.316683 + 0.102896i
\(349\) 8.44250 25.9833i 0.451917 1.39086i −0.422800 0.906223i \(-0.638953\pi\)
0.874717 0.484634i \(-0.161047\pi\)
\(350\) 6.38878 5.84666i 0.341495 0.312517i
\(351\) 12.5885 0.671922
\(352\) 0 0
\(353\) 1.69161i 0.0900356i 0.998986 + 0.0450178i \(0.0143345\pi\)
−0.998986 + 0.0450178i \(0.985666\pi\)
\(354\) −3.82831 2.78143i −0.203472 0.147831i
\(355\) 1.77836 + 4.57743i 0.0943858 + 0.242945i
\(356\) −3.45980 10.6482i −0.183369 0.564352i
\(357\) 0.282415 + 0.388711i 0.0149470 + 0.0205728i
\(358\) 9.69263 + 13.3408i 0.512271 + 0.705081i
\(359\) 5.66729 + 17.4421i 0.299108 + 0.920561i 0.981810 + 0.189864i \(0.0608047\pi\)
−0.682702 + 0.730697i \(0.739195\pi\)
\(360\) 2.94764 1.14518i 0.155354 0.0603562i
\(361\) −15.6887 11.3985i −0.825721 0.599922i
\(362\) 6.55343i 0.344441i
\(363\) 0 0
\(364\) 6.58846 0.345329
\(365\) −0.617511 10.9370i −0.0323220 0.572470i
\(366\) 2.55494 7.86329i 0.133549 0.411021i
\(367\) 28.1837 9.15744i 1.47118 0.478015i 0.539714 0.841848i \(-0.318532\pi\)
0.931464 + 0.363834i \(0.118532\pi\)
\(368\) −16.5654 22.8003i −0.863531 1.18855i
\(369\) −3.82831 + 2.78143i −0.199294 + 0.144795i
\(370\) 24.3080 + 15.6465i 1.26371 + 0.813424i
\(371\) 3.31639 10.2068i 0.172178 0.529910i
\(372\) 2.77618 3.82108i 0.143938 0.198114i
\(373\) 34.1170i 1.76651i 0.468892 + 0.883255i \(0.344653\pi\)
−0.468892 + 0.883255i \(0.655347\pi\)
\(374\) 0 0
\(375\) −5.12436 + 2.68973i −0.264621 + 0.138897i
\(376\) 1.71864 + 1.24866i 0.0886321 + 0.0643950i
\(377\) 27.9552 + 9.08321i 1.43977 + 0.467809i
\(378\) 4.88769 1.58811i 0.251395 0.0816833i
\(379\) −4.42055 + 3.21172i −0.227068 + 0.164975i −0.695503 0.718523i \(-0.744818\pi\)
0.468434 + 0.883498i \(0.344818\pi\)
\(380\) −6.11732 + 23.2048i −0.313812 + 1.19038i
\(381\) 0.535233 + 1.64728i 0.0274208 + 0.0843926i
\(382\) 19.7180 + 6.40677i 1.00886 + 0.327799i
\(383\) −13.9683 + 19.2257i −0.713745 + 0.982386i 0.285964 + 0.958240i \(0.407686\pi\)
−0.999708 + 0.0241451i \(0.992314\pi\)
\(384\) −2.12436 −0.108408
\(385\) 0 0
\(386\) −19.8564 −1.01066
\(387\) −17.1739 + 23.6379i −0.872999 + 1.20158i
\(388\) 1.08117 + 0.351294i 0.0548882 + 0.0178343i
\(389\) 5.60073 + 17.2373i 0.283968 + 0.873965i 0.986706 + 0.162516i \(0.0519609\pi\)
−0.702737 + 0.711449i \(0.748039\pi\)
\(390\) −9.17342 2.41832i −0.464514 0.122457i
\(391\) 5.28765 3.84170i 0.267408 0.194283i
\(392\) 3.05038 0.991130i 0.154068 0.0500596i
\(393\) −10.3996 3.37903i −0.524590 0.170450i
\(394\) −3.98700 2.89673i −0.200862 0.145935i
\(395\) 9.46410 7.72741i 0.476191 0.388808i
\(396\) 0 0
\(397\) 16.0096i 0.803500i 0.915749 + 0.401750i \(0.131598\pi\)
−0.915749 + 0.401750i \(0.868402\pi\)
\(398\) −2.27103 + 3.12580i −0.113836 + 0.156682i
\(399\) 0.888623 2.73490i 0.0444868 0.136916i
\(400\) −22.1787 + 2.51245i −1.10893 + 0.125622i
\(401\) 26.1478 18.9975i 1.30576 0.948691i 0.305767 0.952106i \(-0.401087\pi\)
0.999994 + 0.00341570i \(0.00108725\pi\)
\(402\) −8.77985 12.0844i −0.437899 0.602717i
\(403\) −21.2561 + 6.90653i −1.05884 + 0.344039i
\(404\) −0.745208 + 2.29351i −0.0370755 + 0.114107i
\(405\) 14.8691 0.839518i 0.738852 0.0417160i
\(406\) 12.0000 0.595550
\(407\) 0 0
\(408\) 0.277401i 0.0137334i
\(409\) 1.51743 + 1.10248i 0.0750320 + 0.0545139i 0.624669 0.780890i \(-0.285234\pi\)
−0.549637 + 0.835404i \(0.685234\pi\)
\(410\) 6.97418 2.70952i 0.344430 0.133814i
\(411\) −2.20155 6.77566i −0.108594 0.334219i
\(412\) 4.31932 + 5.94504i 0.212798 + 0.292891i
\(413\) 2.49376 + 3.43237i 0.122710 + 0.168896i
\(414\) −10.2966 31.6897i −0.506050 1.55746i
\(415\) −20.6335 + 8.01625i −1.01286 + 0.393502i
\(416\) −26.0472 18.9244i −1.27707 0.927846i
\(417\) 8.58682i 0.420498i
\(418\) 0 0
\(419\) 29.6603 1.44900 0.724499 0.689276i \(-0.242071\pi\)
0.724499 + 0.689276i \(0.242071\pi\)
\(420\) −1.79460 + 0.101324i −0.0875675 + 0.00494411i
\(421\) 6.50560 20.0222i 0.317063 0.975821i −0.657833 0.753164i \(-0.728527\pi\)
0.974897 0.222657i \(-0.0714731\pi\)
\(422\) −20.4388 + 6.64096i −0.994944 + 0.323277i
\(423\) 6.59035 + 9.07084i 0.320434 + 0.441039i
\(424\) −5.01279 + 3.64201i −0.243443 + 0.176871i
\(425\) −0.582665 5.14348i −0.0282634 0.249496i
\(426\) 0.678648 2.08867i 0.0328806 0.101196i
\(427\) −4.35716 + 5.99711i −0.210858 + 0.290221i
\(428\) 7.58871i 0.366814i
\(429\) 0 0
\(430\) 35.7846 29.2180i 1.72569 1.40902i
\(431\) −15.3132 11.1257i −0.737613 0.535907i 0.154350 0.988016i \(-0.450672\pi\)
−0.891963 + 0.452109i \(0.850672\pi\)
\(432\) −12.5973 4.09310i −0.606087 0.196930i
\(433\) −19.2610 + 6.25829i −0.925627 + 0.300754i −0.732773 0.680473i \(-0.761774\pi\)
−0.192854 + 0.981228i \(0.561774\pi\)
\(434\) −7.38176 + 5.36316i −0.354336 + 0.257440i
\(435\) −7.75429 2.04421i −0.371790 0.0980123i
\(436\) 0.640220 + 1.97040i 0.0306610 + 0.0943648i
\(437\) −37.2030 12.0880i −1.77966 0.578246i
\(438\) −2.87955 + 3.96336i −0.137590 + 0.189377i
\(439\) −20.2487 −0.966418 −0.483209 0.875505i \(-0.660529\pi\)
−0.483209 + 0.875505i \(0.660529\pi\)
\(440\) 0 0
\(441\) 16.9282 0.806105
\(442\) 4.98752 6.86474i 0.237232 0.326522i
\(443\) −8.72954 2.83640i −0.414753 0.134761i 0.0942048 0.995553i \(-0.469969\pi\)
−0.508958 + 0.860791i \(0.669969\pi\)
\(444\) −1.85410 5.70634i −0.0879918 0.270811i
\(445\) 3.68457 13.9767i 0.174665 0.662557i
\(446\) 9.05788 6.58093i 0.428903 0.311616i
\(447\) 6.76033 2.19656i 0.319753 0.103894i
\(448\) −4.88769 1.58811i −0.230921 0.0750309i
\(449\) −8.50816 6.18154i −0.401525 0.291725i 0.368637 0.929573i \(-0.379825\pi\)
−0.770162 + 0.637849i \(0.779825\pi\)
\(450\) −25.8564 5.27792i −1.21888 0.248803i
\(451\) 0 0
\(452\) 4.89898i 0.230429i
\(453\) 1.88524 2.59481i 0.0885764 0.121915i
\(454\) −12.8515 + 39.5530i −0.603153 + 1.85631i
\(455\) 7.15211 + 4.60365i 0.335296 + 0.215823i
\(456\) −1.34317 + 0.975873i −0.0628999 + 0.0456994i
\(457\) 12.4688 + 17.1618i 0.583266 + 0.802797i 0.994049 0.108936i \(-0.0347444\pi\)
−0.410782 + 0.911733i \(0.634744\pi\)
\(458\) 32.9395 10.7027i 1.53916 0.500104i
\(459\) 0.949237 2.92145i 0.0443066 0.136362i
\(460\) 1.37832 + 24.4120i 0.0642643 + 1.13822i
\(461\) 33.0000 1.53696 0.768482 0.639872i \(-0.221013\pi\)
0.768482 + 0.639872i \(0.221013\pi\)
\(462\) 0 0
\(463\) 17.8671i 0.830356i −0.909740 0.415178i \(-0.863719\pi\)
0.909740 0.415178i \(-0.136281\pi\)
\(464\) −25.0214 18.1791i −1.16159 0.843945i
\(465\) 5.68364 2.20814i 0.263573 0.102400i
\(466\) 7.76385 + 23.8947i 0.359654 + 1.10690i
\(467\) −10.4424 14.3727i −0.483215 0.665088i 0.495904 0.868377i \(-0.334837\pi\)
−0.979119 + 0.203289i \(0.934837\pi\)
\(468\) −11.8006 16.2421i −0.545483 0.750793i
\(469\) 4.13845 + 12.7368i 0.191096 + 0.588133i
\(470\) −6.41997 16.5247i −0.296131 0.762228i
\(471\) 5.05531 + 3.67290i 0.232937 + 0.169238i
\(472\) 2.44949i 0.112747i
\(473\) 0 0
\(474\) −5.46410 −0.250974
\(475\) −22.8549 + 20.9156i −1.04866 + 0.959672i
\(476\) 0.496805 1.52901i 0.0227710 0.0700820i
\(477\) −31.1022 + 10.1057i −1.42407 + 0.462709i
\(478\) −13.2404 18.2238i −0.605601 0.833538i
\(479\) −7.65662 + 5.56286i −0.349840 + 0.254174i −0.748802 0.662794i \(-0.769371\pi\)
0.398962 + 0.916967i \(0.369371\pi\)
\(480\) 7.38593 + 4.75416i 0.337120 + 0.216997i
\(481\) −8.77370 + 27.0027i −0.400047 + 1.23122i
\(482\) −11.4963 + 15.8234i −0.523644 + 0.720734i
\(483\) 2.92996i 0.133318i
\(484\) 0 0
\(485\) 0.928203 + 1.13681i 0.0421475 + 0.0516200i
\(486\) −19.3002 14.0224i −0.875477 0.636071i
\(487\) −12.1050 3.93314i −0.548529 0.178228i 0.0216245 0.999766i \(-0.493116\pi\)
−0.570153 + 0.821538i \(0.693116\pi\)
\(488\) 4.07034 1.32253i 0.184255 0.0598682i
\(489\) −3.17798 + 2.30894i −0.143713 + 0.104414i
\(490\) −25.8816 6.82298i −1.16921 0.308231i
\(491\) 4.85553 + 14.9438i 0.219127 + 0.674403i 0.998835 + 0.0482597i \(0.0153675\pi\)
−0.779708 + 0.626143i \(0.784632\pi\)
\(492\) −1.47691 0.479877i −0.0665842 0.0216345i
\(493\) 4.21595 5.80276i 0.189877 0.261343i
\(494\) −50.7846 −2.28491
\(495\) 0 0
\(496\) 23.5167 1.05593
\(497\) −1.15736 + 1.59297i −0.0519146 + 0.0714544i
\(498\) 9.41498 + 3.05911i 0.421895 + 0.137082i
\(499\) −11.8639 36.5133i −0.531100 1.63456i −0.751928 0.659245i \(-0.770876\pi\)
0.220828 0.975313i \(-0.429124\pi\)
\(500\) 17.3596 + 8.58168i 0.776344 + 0.383785i
\(501\) −0.809017 + 0.587785i −0.0361442 + 0.0262603i
\(502\) −26.0826 + 8.47475i −1.16412 + 0.378247i
\(503\) −32.5791 10.5856i −1.45263 0.471988i −0.526820 0.849977i \(-0.676616\pi\)
−0.925810 + 0.377989i \(0.876616\pi\)
\(504\) 1.02579 + 0.745282i 0.0456924 + 0.0331975i
\(505\) −2.41154 + 1.96902i −0.107312 + 0.0876201i
\(506\) 0 0
\(507\) 2.58819i 0.114946i
\(508\) 3.40654 4.68870i 0.151141 0.208028i
\(509\) 6.77619 20.8550i 0.300349 0.924380i −0.681023 0.732262i \(-0.738465\pi\)
0.981372 0.192118i \(-0.0615355\pi\)
\(510\) −1.25296 + 1.94656i −0.0554818 + 0.0861950i
\(511\) 3.55345 2.58173i 0.157195 0.114209i
\(512\) 17.1958 + 23.6679i 0.759952 + 1.04598i
\(513\) −17.4850 + 5.68121i −0.771980 + 0.250831i
\(514\) −2.98518 + 9.18745i −0.131671 + 0.405241i
\(515\) 0.534780 + 9.47175i 0.0235652 + 0.417375i
\(516\) −9.58846 −0.422108
\(517\) 0 0
\(518\) 11.5911i 0.509284i
\(519\) 3.19355 + 2.32025i 0.140181 + 0.101848i
\(520\) −1.77836 4.57743i −0.0779865 0.200733i
\(521\) 12.1285 + 37.3277i 0.531360 + 1.63536i 0.751385 + 0.659864i \(0.229386\pi\)
−0.220025 + 0.975494i \(0.570614\pi\)
\(522\) −21.4932 29.5829i −0.940733 1.29481i
\(523\) −5.09089 7.00701i −0.222609 0.306395i 0.683075 0.730348i \(-0.260642\pi\)
−0.905684 + 0.423953i \(0.860642\pi\)
\(524\) 11.3065 + 34.7977i 0.493925 + 1.52014i
\(525\) −2.01893 1.14398i −0.0881133 0.0499272i
\(526\) −33.5877 24.4029i −1.46449 1.06402i
\(527\) 5.45378i 0.237570i
\(528\) 0 0
\(529\) −16.8564 −0.732887
\(530\) 51.6254 2.91480i 2.24246 0.126611i
\(531\) 3.99503 12.2955i 0.173370 0.533577i
\(532\) −9.15115 + 2.97339i −0.396753 + 0.128913i
\(533\) 4.31932 + 5.94504i 0.187091 + 0.257508i
\(534\) −5.22957 + 3.79950i −0.226306 + 0.164421i
\(535\) −5.30257 + 8.23793i −0.229250 + 0.356157i
\(536\) 2.38934 7.35362i 0.103204 0.317628i
\(537\) 2.59713 3.57465i 0.112075 0.154257i
\(538\) 38.1194i 1.64344i
\(539\) 0 0
\(540\) 7.26795 + 8.90138i 0.312763 + 0.383055i
\(541\) −18.9248 13.7497i −0.813640 0.591144i 0.101244 0.994862i \(-0.467718\pi\)
−0.914884 + 0.403718i \(0.867718\pi\)
\(542\) 8.33381 + 2.70782i 0.357968 + 0.116311i
\(543\) −1.67004 + 0.542630i −0.0716684 + 0.0232865i
\(544\) −6.35597 + 4.61788i −0.272510 + 0.197990i
\(545\) −0.681812 + 2.58632i −0.0292056 + 0.110786i
\(546\) −1.17545 3.61767i −0.0503048 0.154822i
\(547\) 19.2610 + 6.25829i 0.823543 + 0.267585i 0.690323 0.723501i \(-0.257468\pi\)
0.133220 + 0.991087i \(0.457468\pi\)
\(548\) −14.0120 + 19.2858i −0.598561 + 0.823849i
\(549\) 22.5885 0.964052
\(550\) 0 0
\(551\) −42.9282 −1.82880
\(552\) −0.994306 + 1.36855i −0.0423205 + 0.0582492i
\(553\) 4.65921 + 1.51387i 0.198130 + 0.0643762i
\(554\) 13.5524 + 41.7099i 0.575785 + 1.77208i
\(555\) 1.97455 7.49007i 0.0838152 0.317936i
\(556\) 23.2447 16.8883i 0.985796 0.716222i
\(557\) −6.17146 + 2.00523i −0.261493 + 0.0849643i −0.436830 0.899544i \(-0.643899\pi\)
0.175336 + 0.984509i \(0.443899\pi\)
\(558\) 26.4430 + 8.59185i 1.11942 + 0.363722i
\(559\) 36.7076 + 26.6696i 1.55257 + 1.12800i
\(560\) −5.66025 6.93237i −0.239189 0.292946i
\(561\) 0 0
\(562\) 33.4607i 1.41145i
\(563\) 3.56959 4.91312i 0.150440 0.207064i −0.727145 0.686484i \(-0.759153\pi\)
0.877585 + 0.479421i \(0.159153\pi\)
\(564\) −1.13703 + 3.49940i −0.0478774 + 0.147352i
\(565\) 3.42314 5.31809i 0.144013 0.223734i
\(566\) −47.0661 + 34.1955i −1.97834 + 1.43735i
\(567\) 3.50991 + 4.83098i 0.147402 + 0.202882i
\(568\) 1.08117 0.351294i 0.0453650 0.0147400i
\(569\) 1.81567 5.58807i 0.0761170 0.234264i −0.905757 0.423796i \(-0.860697\pi\)
0.981874 + 0.189532i \(0.0606972\pi\)
\(570\) 13.8330 0.781018i 0.579400 0.0327132i
\(571\) −35.7128 −1.49453 −0.747267 0.664524i \(-0.768635\pi\)
−0.747267 + 0.664524i \(0.768635\pi\)
\(572\) 0 0
\(573\) 5.55532i 0.232077i
\(574\) 2.42705 + 1.76336i 0.101303 + 0.0736010i
\(575\) −15.5615 + 27.4636i −0.648961 + 1.14531i
\(576\) 4.83928 + 14.8938i 0.201637 + 0.620574i
\(577\) 12.1864 + 16.7731i 0.507326 + 0.698275i 0.983466 0.181095i \(-0.0579642\pi\)
−0.476139 + 0.879370i \(0.657964\pi\)
\(578\) 18.0867 + 24.8942i 0.752307 + 1.03546i
\(579\) 1.64413 + 5.06010i 0.0683276 + 0.210291i
\(580\) 9.71717 + 25.0115i 0.403483 + 1.03855i
\(581\) −7.18055 5.21697i −0.297899 0.216437i
\(582\) 0.656339i 0.0272061i
\(583\) 0 0
\(584\) −2.53590 −0.104936
\(585\) −1.46105 25.8773i −0.0604068 1.06989i
\(586\) 5.62292 17.3056i 0.232281 0.714886i
\(587\) 34.1879 11.1083i 1.41109 0.458490i 0.498328 0.866989i \(-0.333948\pi\)
0.912759 + 0.408499i \(0.133948\pi\)
\(588\) 3.26533 + 4.49435i 0.134660 + 0.185344i
\(589\) 26.4071 19.1859i 1.08809 0.790542i
\(590\) −11.0638 + 17.1883i −0.455488 + 0.707633i
\(591\) −0.408059 + 1.25588i −0.0167853 + 0.0516599i
\(592\) 17.5597 24.1689i 0.721699 0.993334i
\(593\) 30.2533i 1.24235i −0.783670 0.621177i \(-0.786655\pi\)
0.783670 0.621177i \(-0.213345\pi\)
\(594\) 0 0
\(595\) 1.60770 1.31268i 0.0659091 0.0538145i
\(596\) −19.2422 13.9802i −0.788189 0.572653i
\(597\) 0.984606 + 0.319918i 0.0402972 + 0.0130934i
\(598\) −49.2114 + 15.9897i −2.01240 + 0.653869i
\(599\) 16.5402 12.0172i 0.675816 0.491009i −0.196151 0.980574i \(-0.562844\pi\)
0.871967 + 0.489565i \(0.162844\pi\)
\(600\) 0.554797 + 1.21948i 0.0226495 + 0.0497849i
\(601\) −6.18034 19.0211i −0.252101 0.775888i −0.994387 0.105804i \(-0.966258\pi\)
0.742286 0.670084i \(-0.233742\pi\)
\(602\) 17.6169 + 5.72407i 0.718010 + 0.233296i
\(603\) 23.9870 33.0153i 0.976826 1.34449i
\(604\) −10.7321 −0.436681
\(605\) 0 0
\(606\) 1.39230 0.0565585
\(607\) 18.5103 25.4773i 0.751311 1.03409i −0.246577 0.969123i \(-0.579306\pi\)
0.997887 0.0649672i \(-0.0206943\pi\)
\(608\) 44.7194 + 14.5302i 1.81361 + 0.589278i
\(609\) −0.993610 3.05802i −0.0402631 0.123917i
\(610\) −34.5356 9.10437i −1.39830 0.368625i
\(611\) 14.0862 10.2342i 0.569868 0.414033i
\(612\) −4.65921 + 1.51387i −0.188337 + 0.0611945i
\(613\) −6.36459 2.06798i −0.257064 0.0835250i 0.177650 0.984094i \(-0.443150\pi\)
−0.434714 + 0.900569i \(0.643150\pi\)
\(614\) 27.5491 + 20.0156i 1.11179 + 0.807764i
\(615\) −1.26795 1.55291i −0.0511286 0.0626195i
\(616\) 0 0
\(617\) 1.69161i 0.0681019i 0.999420 + 0.0340509i \(0.0108408\pi\)
−0.999420 + 0.0340509i \(0.989159\pi\)
\(618\) 2.49376 3.43237i 0.100314 0.138070i
\(619\) 8.89493 27.3758i 0.357518 1.10033i −0.597018 0.802228i \(-0.703648\pi\)
0.954535 0.298098i \(-0.0963522\pi\)
\(620\) −17.1559 11.0429i −0.688997 0.443492i
\(621\) −15.1545 + 11.0104i −0.608131 + 0.441833i
\(622\) −31.8541 43.8434i −1.27723 1.75796i
\(623\) 5.51190 1.79092i 0.220830 0.0717519i
\(624\) −3.02956 + 9.32401i −0.121279 + 0.373259i
\(625\) 12.8483 + 21.4458i 0.513932 + 0.857831i
\(626\) 33.1244 1.32392
\(627\) 0 0
\(628\) 20.9086i 0.834344i
\(629\) 5.60503 + 4.07230i 0.223487 + 0.162373i
\(630\) −3.83184 9.86299i −0.152664 0.392951i
\(631\) 5.97037 + 18.3749i 0.237676 + 0.731493i 0.996755 + 0.0804940i \(0.0256498\pi\)
−0.759079 + 0.650999i \(0.774350\pi\)
\(632\) −1.66251 2.28825i −0.0661310 0.0910215i
\(633\) 3.38470 + 4.65864i 0.134530 + 0.185164i
\(634\) −4.16064 12.8051i −0.165240 0.508556i
\(635\) 6.97418 2.70952i 0.276762 0.107524i
\(636\) −8.68241 6.30814i −0.344280 0.250134i
\(637\) 26.2880i 1.04157i
\(638\) 0 0
\(639\) 6.00000 0.237356
\(640\) 0.517297 + 9.16210i 0.0204480 + 0.362164i
\(641\) 6.13597 18.8846i 0.242356 0.745895i −0.753704 0.657214i \(-0.771735\pi\)
0.996060 0.0886813i \(-0.0282653\pi\)
\(642\) 4.16690 1.35391i 0.164455 0.0534345i
\(643\) 16.2611 + 22.3815i 0.641277 + 0.882642i 0.998683 0.0513075i \(-0.0163388\pi\)
−0.357406 + 0.933949i \(0.616339\pi\)
\(644\) −7.93148 + 5.76256i −0.312544 + 0.227077i
\(645\) −10.4088 6.69989i −0.409845 0.263808i
\(646\) −3.82943 + 11.7858i −0.150667 + 0.463705i
\(647\) −11.1543 + 15.3525i −0.438519 + 0.603569i −0.969882 0.243575i \(-0.921680\pi\)
0.531363 + 0.847144i \(0.321680\pi\)
\(648\) 3.44760i 0.135435i
\(649\) 0 0
\(650\) −8.19615 + 40.1528i −0.321480 + 1.57492i
\(651\) 1.97794 + 1.43705i 0.0775214 + 0.0563226i
\(652\) 12.5007 + 4.06173i 0.489566 + 0.159069i
\(653\) 30.3814 9.87152i 1.18892 0.386302i 0.353244 0.935531i \(-0.385078\pi\)
0.835672 + 0.549229i \(0.185078\pi\)
\(654\) 0.967708 0.703081i 0.0378404 0.0274926i
\(655\) −12.0410 + 45.6750i −0.470480 + 1.78467i
\(656\) −2.38934 7.35362i −0.0932879 0.287111i
\(657\) −12.7292 4.13596i −0.496613 0.161359i
\(658\) 4.17811 5.75068i 0.162880 0.224185i
\(659\) 11.3205 0.440984 0.220492 0.975389i \(-0.429234\pi\)
0.220492 + 0.975389i \(0.429234\pi\)
\(660\) 0 0
\(661\) −1.58846 −0.0617838 −0.0308919 0.999523i \(-0.509835\pi\)
−0.0308919 + 0.999523i \(0.509835\pi\)
\(662\) 8.86138 12.1966i 0.344407 0.474036i
\(663\) −2.16235 0.702589i −0.0839785 0.0272863i
\(664\) 1.58351 + 4.87355i 0.0614522 + 0.189130i
\(665\) −12.0117 3.16656i −0.465793 0.122794i
\(666\) 28.5749 20.7609i 1.10725 0.804468i
\(667\) −41.5983 + 13.5161i −1.61069 + 0.523346i
\(668\) 3.18230 + 1.03399i 0.123127 + 0.0400063i
\(669\) −2.42705 1.76336i −0.0938352 0.0681753i
\(670\) −49.9808 + 40.8091i −1.93093 + 1.57659i
\(671\) 0 0
\(672\) 3.52193i 0.135861i
\(673\) 0.950617 1.30841i 0.0366436 0.0504356i −0.790302 0.612717i \(-0.790076\pi\)
0.826946 + 0.562282i \(0.190076\pi\)
\(674\) −4.67368 + 14.3841i −0.180024 + 0.554055i
\(675\) 1.66993 + 14.7414i 0.0642758 + 0.567395i
\(676\) −7.00629 + 5.09037i −0.269473 + 0.195783i
\(677\) 5.31363 + 7.31358i 0.204219 + 0.281084i 0.898826 0.438306i \(-0.144421\pi\)
−0.694606 + 0.719390i \(0.744421\pi\)
\(678\) −2.68999 + 0.874032i −0.103309 + 0.0335670i
\(679\) −0.181843 + 0.559656i −0.00697851 + 0.0214776i
\(680\) −1.19640 + 0.0675494i −0.0458798 + 0.00259040i
\(681\) 11.1436 0.427023
\(682\) 0 0
\(683\) 22.4887i 0.860507i 0.902708 + 0.430253i \(0.141576\pi\)
−0.902708 + 0.430253i \(0.858424\pi\)
\(684\) 23.7208 + 17.2342i 0.906987 + 0.658965i
\(685\) −28.6866 + 11.1449i −1.09606 + 0.425826i
\(686\) −7.06302 21.7377i −0.269667 0.829951i
\(687\) −5.45484 7.50794i −0.208115 0.286446i
\(688\) −28.0617 38.6237i −1.06984 1.47251i
\(689\) 15.6933 + 48.2990i 0.597867 + 1.84005i
\(690\) 13.1586 5.11220i 0.500938 0.194618i
\(691\) 22.5788 + 16.4045i 0.858939 + 0.624056i 0.927596 0.373585i \(-0.121871\pi\)
−0.0686571 + 0.997640i \(0.521871\pi\)
\(692\) 13.2084i 0.502108i
\(693\) 0 0
\(694\) 5.73205 0.217586
\(695\) 37.0339 2.09096i 1.40478 0.0793145i
\(696\) −0.573661 + 1.76555i −0.0217446 + 0.0669229i
\(697\) 1.70539 0.554114i 0.0645962 0.0209886i
\(698\) 31.0228 + 42.6992i 1.17423 + 1.61619i
\(699\) 5.44634 3.95700i 0.206000 0.149667i
\(700\) 0.873998 + 7.71522i 0.0330340 + 0.291608i
\(701\) −3.13454 + 9.64713i −0.118390 + 0.364367i −0.992639 0.121111i \(-0.961354\pi\)
0.874249 + 0.485478i \(0.161354\pi\)
\(702\) −14.2944 + 19.6745i −0.539506 + 0.742567i
\(703\) 41.4655i 1.56390i
\(704\) 0 0
\(705\) −3.67949 + 3.00429i −0.138578 + 0.113148i
\(706\) −2.64383 1.92085i −0.0995017 0.0722922i
\(707\) −1.18721 0.385748i −0.0446496 0.0145075i
\(708\) 4.03499 1.31105i 0.151644 0.0492722i
\(709\) 18.9248 13.7497i 0.710735 0.516379i −0.172676 0.984979i \(-0.555241\pi\)
0.883411 + 0.468600i \(0.155241\pi\)
\(710\) −9.17342 2.41832i −0.344272 0.0907581i
\(711\) −4.61307 14.1976i −0.173004 0.532450i
\(712\) −3.18230 1.03399i −0.119262 0.0387505i
\(713\) 19.5483 26.9059i 0.732090 1.00764i
\(714\) −0.928203 −0.0347371
\(715\) 0 0
\(716\) −14.7846 −0.552527
\(717\) −3.54775 + 4.88306i −0.132493 + 0.182361i
\(718\) −33.6956 10.9484i −1.25751 0.408590i
\(719\) 12.3001 + 37.8557i 0.458715 + 1.41178i 0.866718 + 0.498799i \(0.166225\pi\)
−0.408003 + 0.912981i \(0.633775\pi\)
\(720\) −6.95186 + 26.3705i −0.259081 + 0.982770i
\(721\) −3.07738 + 2.23585i −0.114608 + 0.0832672i
\(722\) 35.6295 11.5767i 1.32599 0.430841i
\(723\) 4.98425 + 1.61948i 0.185366 + 0.0602292i
\(724\) 4.75350 + 3.45362i 0.176662 + 0.128353i
\(725\) −6.92820 + 33.9411i −0.257307 + 1.26054i
\(726\) 0 0
\(727\) 4.00240i 0.148441i −0.997242 0.0742205i \(-0.976353\pi\)
0.997242 0.0742205i \(-0.0236469\pi\)
\(728\) 1.15736 1.59297i 0.0428946 0.0590393i
\(729\) 4.19906 12.9234i 0.155521 0.478644i
\(730\) 17.7947 + 11.4540i 0.658611 + 0.423933i
\(731\) 8.95727 6.50784i 0.331297 0.240701i
\(732\) 4.35716 + 5.99711i 0.161045 + 0.221660i
\(733\) 33.0714 10.7455i 1.22152 0.396896i 0.373885 0.927475i \(-0.378026\pi\)
0.847635 + 0.530579i \(0.178026\pi\)
\(734\) −17.6908 + 54.4468i −0.652980 + 2.00967i
\(735\) 0.404285 + 7.16048i 0.0149123 + 0.264118i
\(736\) 47.9090 1.76595
\(737\) 0 0
\(738\) 9.14162i 0.336508i
\(739\) 20.2835 + 14.7368i 0.746141 + 0.542103i 0.894628 0.446811i \(-0.147440\pi\)
−0.148487 + 0.988914i \(0.547440\pi\)
\(740\) −24.1593 + 9.38606i −0.888113 + 0.345039i
\(741\) 4.20501 + 12.9417i 0.154475 + 0.475425i
\(742\) 12.1864 + 16.7731i 0.447377 + 0.615761i
\(743\) −4.72695 6.50609i −0.173415 0.238685i 0.713459 0.700697i \(-0.247128\pi\)
−0.886874 + 0.462012i \(0.847128\pi\)
\(744\) −0.436191 1.34246i −0.0159915 0.0492169i
\(745\) −11.1197 28.6216i −0.407395 1.04862i
\(746\) −53.3215 38.7403i −1.95224 1.41838i
\(747\) 27.0459i 0.989559i
\(748\) 0 0
\(749\) −3.92820 −0.143533
\(750\) 1.61500 11.0631i 0.0589715 0.403967i
\(751\) −6.37842 + 19.6308i −0.232752 + 0.716337i 0.764660 + 0.644434i \(0.222907\pi\)
−0.997412 + 0.0719027i \(0.977093\pi\)
\(752\) −17.4237 + 5.66132i −0.635378 + 0.206447i
\(753\) 4.31932 + 5.94504i 0.157405 + 0.216649i
\(754\) −45.9397 + 33.3772i −1.67303 + 1.21552i
\(755\) −11.6502 7.49897i −0.423994 0.272915i
\(756\) −1.42386 + 4.38218i −0.0517851 + 0.159378i
\(757\) 20.6183 28.3786i 0.749385 1.03144i −0.248639 0.968596i \(-0.579983\pi\)
0.998023 0.0628432i \(-0.0200168\pi\)
\(758\) 10.5558i 0.383405i
\(759\) 0 0
\(760\) 4.53590 + 5.55532i 0.164534 + 0.201513i
\(761\) 6.35597 + 4.61788i 0.230404 + 0.167398i 0.696997 0.717074i \(-0.254519\pi\)
−0.466594 + 0.884472i \(0.654519\pi\)
\(762\) −3.18230 1.03399i −0.115282 0.0374575i
\(763\) −1.01995 + 0.331402i −0.0369247 + 0.0119976i
\(764\) −15.0384 + 10.9260i −0.544069 + 0.395290i
\(765\) −6.11562 1.61222i −0.221111 0.0582898i
\(766\) −14.1867 43.6620i −0.512585 1.57757i
\(767\) −19.0938 6.20395i −0.689437 0.224012i
\(768\) 5.90030 8.12107i 0.212909 0.293044i
\(769\) 17.8564 0.643918 0.321959 0.946754i \(-0.395659\pi\)
0.321959 + 0.946754i \(0.395659\pi\)
\(770\) 0 0
\(771\) 2.58846 0.0932210
\(772\) 10.4642 14.4027i 0.376615 0.518366i
\(773\) 49.1148 + 15.9584i 1.76654 + 0.573983i 0.997844 0.0656355i \(-0.0209075\pi\)
0.768693 + 0.639618i \(0.220907\pi\)
\(774\) −17.4424 53.6823i −0.626955 1.92957i
\(775\) −10.9075