Properties

Label 390.2.bn.c.97.3
Level $390$
Weight $2$
Character 390.97
Analytic conductor $3.114$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bn (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.3
Character \(\chi\) \(=\) 390.97
Dual form 390.2.bn.c.193.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.08182 + 1.95695i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-4.11737 + 2.37716i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.08182 + 1.95695i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-4.11737 + 2.37716i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-2.23568 - 0.0415914i) q^{10} +(0.467101 - 0.125159i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-0.107680 - 3.60394i) q^{13} -4.75433i q^{14} +(1.61027 - 1.55146i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.48850 - 1.47064i) q^{17} -1.00000i q^{18} +(-1.99525 + 7.44637i) q^{19} +(1.15386 - 1.91536i) q^{20} +(3.36182 + 3.36182i) q^{21} +(-0.125159 + 0.467101i) q^{22} +(-4.08313 + 1.09407i) q^{23} +(-0.258819 - 0.965926i) q^{24} +(-2.65933 + 4.23415i) q^{25} +(3.17495 + 1.70872i) q^{26} +(0.707107 + 0.707107i) q^{27} +(4.11737 + 2.37716i) q^{28} +(2.30480 + 1.33068i) q^{29} +(0.538463 + 2.17027i) q^{30} +(-3.58682 + 3.58682i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.241789 - 0.418791i) q^{33} +(4.01786 - 4.01786i) q^{34} +(-9.10625 - 5.48583i) q^{35} +(0.866025 + 0.500000i) q^{36} +(4.49223 + 2.59359i) q^{37} +(-5.45112 - 5.45112i) q^{38} +(-3.45327 + 1.03678i) q^{39} +(1.08182 + 1.95695i) q^{40} +(-1.85537 - 6.92432i) q^{41} +(-4.59233 + 1.23051i) q^{42} +(-2.97402 + 11.0992i) q^{43} +(-0.341942 - 0.341942i) q^{44} +(-1.91536 - 1.15386i) q^{45} +(1.09407 - 4.08313i) q^{46} -3.72184i q^{47} +(0.965926 + 0.258819i) q^{48} +(7.80181 - 13.5131i) q^{49} +(-2.33722 - 4.42012i) q^{50} +5.68211i q^{51} +(-3.06727 + 1.89523i) q^{52} +(2.48472 - 2.48472i) q^{53} +(-0.965926 + 0.258819i) q^{54} +(0.750251 + 0.778695i) q^{55} +(-4.11737 + 2.37716i) q^{56} +7.70905 q^{57} +(-2.30480 + 1.33068i) q^{58} +(7.30964 + 1.95861i) q^{59} +(-2.14874 - 0.618811i) q^{60} +(-1.66620 - 2.88595i) q^{61} +(-1.31287 - 4.89969i) q^{62} +(2.37716 - 4.11737i) q^{63} +1.00000 q^{64} +(6.93625 - 4.10955i) q^{65} +0.483579 q^{66} +(-0.630756 + 1.09250i) q^{67} +(1.47064 + 5.48850i) q^{68} +(2.11358 + 3.66083i) q^{69} +(9.30399 - 5.14333i) q^{70} +(10.7071 + 2.86896i) q^{71} +(-0.866025 + 0.500000i) q^{72} -4.98465 q^{73} +(-4.49223 + 2.59359i) q^{74} +(4.77815 + 1.47283i) q^{75} +(7.44637 - 1.99525i) q^{76} +(-1.62570 + 1.62570i) q^{77} +(0.828758 - 3.50901i) q^{78} -10.0426i q^{79} +(-2.23568 - 0.0415914i) q^{80} +(0.500000 - 0.866025i) q^{81} +(6.92432 + 1.85537i) q^{82} -8.14212i q^{83} +(1.23051 - 4.59233i) q^{84} +(-3.05961 - 12.3317i) q^{85} +(-8.12517 - 8.12517i) q^{86} +(0.688808 - 2.57067i) q^{87} +(0.467101 - 0.125159i) q^{88} +(4.53424 + 16.9220i) q^{89} +(1.95695 - 1.08182i) q^{90} +(9.01052 + 14.5828i) q^{91} +(2.98906 + 2.98906i) q^{92} +(4.39294 + 2.53626i) q^{93} +(3.22321 + 1.86092i) q^{94} +(-16.7307 + 4.15103i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(5.60832 + 9.71389i) q^{97} +(7.80181 + 13.5131i) q^{98} +(-0.341942 + 0.341942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −0.258819 0.965926i −0.149429 0.557678i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.08182 + 1.95695i 0.483805 + 0.875176i
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) −4.11737 + 2.37716i −1.55622 + 0.898483i −0.558605 + 0.829434i \(0.688663\pi\)
−0.997613 + 0.0690493i \(0.978003\pi\)
\(8\) 1.00000 0.353553
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −2.23568 0.0415914i −0.706984 0.0131524i
\(11\) 0.467101 0.125159i 0.140836 0.0377370i −0.187712 0.982224i \(-0.560107\pi\)
0.328548 + 0.944487i \(0.393441\pi\)
\(12\) −0.707107 + 0.707107i −0.204124 + 0.204124i
\(13\) −0.107680 3.60394i −0.0298650 0.999554i
\(14\) 4.75433i 1.27065i
\(15\) 1.61027 1.55146i 0.415771 0.400584i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −5.48850 1.47064i −1.33116 0.356682i −0.478011 0.878354i \(-0.658642\pi\)
−0.853146 + 0.521672i \(0.825309\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −1.99525 + 7.44637i −0.457741 + 1.70831i 0.222160 + 0.975010i \(0.428689\pi\)
−0.679901 + 0.733304i \(0.737977\pi\)
\(20\) 1.15386 1.91536i 0.258011 0.428288i
\(21\) 3.36182 + 3.36182i 0.733608 + 0.733608i
\(22\) −0.125159 + 0.467101i −0.0266841 + 0.0995863i
\(23\) −4.08313 + 1.09407i −0.851391 + 0.228129i −0.658024 0.752997i \(-0.728607\pi\)
−0.193367 + 0.981127i \(0.561941\pi\)
\(24\) −0.258819 0.965926i −0.0528312 0.197169i
\(25\) −2.65933 + 4.23415i −0.531865 + 0.846829i
\(26\) 3.17495 + 1.70872i 0.622658 + 0.335107i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 4.11737 + 2.37716i 0.778109 + 0.449242i
\(29\) 2.30480 + 1.33068i 0.427990 + 0.247100i 0.698490 0.715620i \(-0.253856\pi\)
−0.270500 + 0.962720i \(0.587189\pi\)
\(30\) 0.538463 + 2.17027i 0.0983094 + 0.396235i
\(31\) −3.58682 + 3.58682i −0.644212 + 0.644212i −0.951588 0.307376i \(-0.900549\pi\)
0.307376 + 0.951588i \(0.400549\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −0.241789 0.418791i −0.0420901 0.0729022i
\(34\) 4.01786 4.01786i 0.689058 0.689058i
\(35\) −9.10625 5.48583i −1.53924 0.927274i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 4.49223 + 2.59359i 0.738517 + 0.426383i 0.821530 0.570165i \(-0.193121\pi\)
−0.0830127 + 0.996548i \(0.526454\pi\)
\(38\) −5.45112 5.45112i −0.884288 0.884288i
\(39\) −3.45327 + 1.03678i −0.552966 + 0.166018i
\(40\) 1.08182 + 1.95695i 0.171051 + 0.309421i
\(41\) −1.85537 6.92432i −0.289759 1.08140i −0.945291 0.326229i \(-0.894222\pi\)
0.655531 0.755168i \(-0.272445\pi\)
\(42\) −4.59233 + 1.23051i −0.708611 + 0.189872i
\(43\) −2.97402 + 11.0992i −0.453534 + 1.69261i 0.238830 + 0.971061i \(0.423236\pi\)
−0.692364 + 0.721549i \(0.743431\pi\)
\(44\) −0.341942 0.341942i −0.0515497 0.0515497i
\(45\) −1.91536 1.15386i −0.285525 0.172007i
\(46\) 1.09407 4.08313i 0.161312 0.602024i
\(47\) 3.72184i 0.542886i −0.962454 0.271443i \(-0.912499\pi\)
0.962454 0.271443i \(-0.0875009\pi\)
\(48\) 0.965926 + 0.258819i 0.139419 + 0.0373573i
\(49\) 7.80181 13.5131i 1.11454 1.93045i
\(50\) −2.33722 4.42012i −0.330532 0.625099i
\(51\) 5.68211i 0.795655i
\(52\) −3.06727 + 1.89523i −0.425353 + 0.262820i
\(53\) 2.48472 2.48472i 0.341303 0.341303i −0.515554 0.856857i \(-0.672414\pi\)
0.856857 + 0.515554i \(0.172414\pi\)
\(54\) −0.965926 + 0.258819i −0.131446 + 0.0352208i
\(55\) 0.750251 + 0.778695i 0.101164 + 0.104999i
\(56\) −4.11737 + 2.37716i −0.550206 + 0.317662i
\(57\) 7.70905 1.02109
\(58\) −2.30480 + 1.33068i −0.302635 + 0.174726i
\(59\) 7.30964 + 1.95861i 0.951634 + 0.254989i 0.701055 0.713107i \(-0.252713\pi\)
0.250578 + 0.968096i \(0.419379\pi\)
\(60\) −2.14874 0.618811i −0.277401 0.0798882i
\(61\) −1.66620 2.88595i −0.213336 0.369508i 0.739421 0.673244i \(-0.235099\pi\)
−0.952756 + 0.303735i \(0.901766\pi\)
\(62\) −1.31287 4.89969i −0.166734 0.622261i
\(63\) 2.37716 4.11737i 0.299494 0.518739i
\(64\) 1.00000 0.125000
\(65\) 6.93625 4.10955i 0.860336 0.509727i
\(66\) 0.483579 0.0595244
\(67\) −0.630756 + 1.09250i −0.0770591 + 0.133470i −0.901980 0.431778i \(-0.857886\pi\)
0.824921 + 0.565248i \(0.191220\pi\)
\(68\) 1.47064 + 5.48850i 0.178341 + 0.665579i
\(69\) 2.11358 + 3.66083i 0.254445 + 0.440712i
\(70\) 9.30399 5.14333i 1.11204 0.614746i
\(71\) 10.7071 + 2.86896i 1.27070 + 0.340482i 0.830298 0.557320i \(-0.188170\pi\)
0.440399 + 0.897802i \(0.354837\pi\)
\(72\) −0.866025 + 0.500000i −0.102062 + 0.0589256i
\(73\) −4.98465 −0.583409 −0.291705 0.956508i \(-0.594222\pi\)
−0.291705 + 0.956508i \(0.594222\pi\)
\(74\) −4.49223 + 2.59359i −0.522211 + 0.301498i
\(75\) 4.77815 + 1.47283i 0.551734 + 0.170068i
\(76\) 7.44637 1.99525i 0.854157 0.228871i
\(77\) −1.62570 + 1.62570i −0.185266 + 0.185266i
\(78\) 0.828758 3.50901i 0.0938384 0.397317i
\(79\) 10.0426i 1.12988i −0.825131 0.564941i \(-0.808899\pi\)
0.825131 0.564941i \(-0.191101\pi\)
\(80\) −2.23568 0.0415914i −0.249957 0.00465006i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) 6.92432 + 1.85537i 0.764663 + 0.204891i
\(83\) 8.14212i 0.893714i −0.894606 0.446857i \(-0.852543\pi\)
0.894606 0.446857i \(-0.147457\pi\)
\(84\) 1.23051 4.59233i 0.134260 0.501064i
\(85\) −3.05961 12.3317i −0.331861 1.33756i
\(86\) −8.12517 8.12517i −0.876160 0.876160i
\(87\) 0.688808 2.57067i 0.0738480 0.275605i
\(88\) 0.467101 0.125159i 0.0497931 0.0133420i
\(89\) 4.53424 + 16.9220i 0.480628 + 1.79373i 0.598989 + 0.800758i \(0.295569\pi\)
−0.118361 + 0.992971i \(0.537764\pi\)
\(90\) 1.95695 1.08182i 0.206281 0.114034i
\(91\) 9.01052 + 14.5828i 0.944559 + 1.52869i
\(92\) 2.98906 + 2.98906i 0.311631 + 0.311631i
\(93\) 4.39294 + 2.53626i 0.455526 + 0.262998i
\(94\) 3.22321 + 1.86092i 0.332449 + 0.191939i
\(95\) −16.7307 + 4.15103i −1.71653 + 0.425887i
\(96\) −0.707107 + 0.707107i −0.0721688 + 0.0721688i
\(97\) 5.60832 + 9.71389i 0.569438 + 0.986296i 0.996622 + 0.0821310i \(0.0261726\pi\)
−0.427183 + 0.904165i \(0.640494\pi\)
\(98\) 7.80181 + 13.5131i 0.788101 + 1.36503i
\(99\) −0.341942 + 0.341942i −0.0343664 + 0.0343664i
\(100\) 4.99654 + 0.185970i 0.499654 + 0.0185970i
\(101\) 2.70678 + 1.56276i 0.269335 + 0.155501i 0.628585 0.777741i \(-0.283634\pi\)
−0.359250 + 0.933241i \(0.616968\pi\)
\(102\) −4.92086 2.84106i −0.487237 0.281307i
\(103\) −1.47061 1.47061i −0.144903 0.144903i 0.630934 0.775837i \(-0.282672\pi\)
−0.775837 + 0.630934i \(0.782672\pi\)
\(104\) −0.107680 3.60394i −0.0105589 0.353396i
\(105\) −2.94203 + 10.2158i −0.287113 + 0.996960i
\(106\) 0.909471 + 3.39419i 0.0883357 + 0.329673i
\(107\) 3.06593 0.821514i 0.296395 0.0794188i −0.107557 0.994199i \(-0.534303\pi\)
0.403952 + 0.914780i \(0.367636\pi\)
\(108\) 0.258819 0.965926i 0.0249049 0.0929463i
\(109\) 3.63360 + 3.63360i 0.348035 + 0.348035i 0.859377 0.511342i \(-0.170851\pi\)
−0.511342 + 0.859377i \(0.670851\pi\)
\(110\) −1.04949 + 0.260389i −0.100065 + 0.0248271i
\(111\) 1.34254 5.01043i 0.127428 0.475569i
\(112\) 4.75433i 0.449242i
\(113\) 0.887463 + 0.237795i 0.0834855 + 0.0223699i 0.300320 0.953839i \(-0.402907\pi\)
−0.216835 + 0.976208i \(0.569573\pi\)
\(114\) −3.85452 + 6.67623i −0.361009 + 0.625286i
\(115\) −6.55826 6.80689i −0.611561 0.634746i
\(116\) 2.66135i 0.247100i
\(117\) 1.89523 + 3.06727i 0.175214 + 0.283569i
\(118\) −5.35103 + 5.35103i −0.492602 + 0.492602i
\(119\) 26.0941 6.99190i 2.39204 0.640946i
\(120\) 1.61027 1.55146i 0.146997 0.141628i
\(121\) −9.32376 + 5.38308i −0.847615 + 0.489371i
\(122\) 3.33241 0.301702
\(123\) −6.20817 + 3.58429i −0.559772 + 0.323185i
\(124\) 4.89969 + 1.31287i 0.440005 + 0.117899i
\(125\) −11.1629 0.623584i −0.998443 0.0557750i
\(126\) 2.37716 + 4.11737i 0.211774 + 0.366804i
\(127\) 0.793214 + 2.96031i 0.0703863 + 0.262685i 0.992148 0.125072i \(-0.0399163\pi\)
−0.921761 + 0.387758i \(0.873250\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 11.4907 1.01170
\(130\) 0.0908448 + 8.06175i 0.00796762 + 0.707062i
\(131\) −2.20827 −0.192938 −0.0964689 0.995336i \(-0.530755\pi\)
−0.0964689 + 0.995336i \(0.530755\pi\)
\(132\) −0.241789 + 0.418791i −0.0210451 + 0.0364511i
\(133\) −9.48606 35.4025i −0.822546 3.06978i
\(134\) −0.630756 1.09250i −0.0544890 0.0943777i
\(135\) −0.618811 + 2.14874i −0.0532588 + 0.184934i
\(136\) −5.48850 1.47064i −0.470635 0.126106i
\(137\) −6.64175 + 3.83461i −0.567443 + 0.327613i −0.756127 0.654424i \(-0.772911\pi\)
0.188685 + 0.982038i \(0.439578\pi\)
\(138\) −4.22716 −0.359840
\(139\) 1.65356 0.954683i 0.140253 0.0809752i −0.428232 0.903669i \(-0.640863\pi\)
0.568485 + 0.822694i \(0.307530\pi\)
\(140\) −0.197739 + 10.6292i −0.0167120 + 0.898328i
\(141\) −3.59502 + 0.963283i −0.302756 + 0.0811231i
\(142\) −7.83813 + 7.83813i −0.657761 + 0.657761i
\(143\) −0.501365 1.66993i −0.0419262 0.139646i
\(144\) 1.00000i 0.0833333i
\(145\) −0.110689 + 5.94993i −0.00919226 + 0.494115i
\(146\) 2.49233 4.31683i 0.206266 0.357264i
\(147\) −15.0719 4.03851i −1.24311 0.333091i
\(148\) 5.18718i 0.426383i
\(149\) 5.39111 20.1199i 0.441657 1.64829i −0.282958 0.959132i \(-0.591316\pi\)
0.724615 0.689154i \(-0.242018\pi\)
\(150\) −3.66459 + 3.40159i −0.299212 + 0.277738i
\(151\) −8.81822 8.81822i −0.717617 0.717617i 0.250500 0.968117i \(-0.419405\pi\)
−0.968117 + 0.250500i \(0.919405\pi\)
\(152\) −1.99525 + 7.44637i −0.161836 + 0.603980i
\(153\) 5.48850 1.47064i 0.443719 0.118894i
\(154\) −0.595048 2.22075i −0.0479504 0.178953i
\(155\) −10.8995 3.13894i −0.875471 0.252125i
\(156\) 2.62451 + 2.47223i 0.210129 + 0.197937i
\(157\) 13.3775 + 13.3775i 1.06764 + 1.06764i 0.997540 + 0.0700989i \(0.0223315\pi\)
0.0700989 + 0.997540i \(0.477669\pi\)
\(158\) 8.69716 + 5.02131i 0.691909 + 0.399474i
\(159\) −3.04315 1.75696i −0.241338 0.139336i
\(160\) 1.15386 1.91536i 0.0912206 0.151423i
\(161\) 14.2109 14.2109i 1.11998 1.11998i
\(162\) 0.500000 + 0.866025i 0.0392837 + 0.0680414i
\(163\) 5.09500 + 8.82480i 0.399071 + 0.691212i 0.993612 0.112854i \(-0.0359992\pi\)
−0.594540 + 0.804066i \(0.702666\pi\)
\(164\) −5.06895 + 5.06895i −0.395819 + 0.395819i
\(165\) 0.557982 0.926228i 0.0434388 0.0721067i
\(166\) 7.05128 + 4.07106i 0.547286 + 0.315975i
\(167\) 0.943685 + 0.544837i 0.0730246 + 0.0421608i 0.536068 0.844175i \(-0.319909\pi\)
−0.463043 + 0.886336i \(0.653243\pi\)
\(168\) 3.36182 + 3.36182i 0.259370 + 0.259370i
\(169\) −12.9768 + 0.776145i −0.998216 + 0.0597034i
\(170\) 12.2094 + 3.51616i 0.936416 + 0.269677i
\(171\) −1.99525 7.44637i −0.152580 0.569438i
\(172\) 11.0992 2.97402i 0.846305 0.226767i
\(173\) 4.56875 17.0508i 0.347356 1.29635i −0.542481 0.840068i \(-0.682515\pi\)
0.889836 0.456280i \(-0.150819\pi\)
\(174\) 1.88186 + 1.88186i 0.142663 + 0.142663i
\(175\) 0.884164 23.7552i 0.0668365 1.79572i
\(176\) −0.125159 + 0.467101i −0.00943424 + 0.0352091i
\(177\) 7.56749i 0.568808i
\(178\) −16.9220 4.53424i −1.26836 0.339855i
\(179\) −1.93938 + 3.35910i −0.144956 + 0.251071i −0.929356 0.369184i \(-0.879637\pi\)
0.784401 + 0.620254i \(0.212971\pi\)
\(180\) −0.0415914 + 2.23568i −0.00310004 + 0.166638i
\(181\) 8.83587i 0.656765i 0.944545 + 0.328382i \(0.106503\pi\)
−0.944545 + 0.328382i \(0.893497\pi\)
\(182\) −17.1343 + 0.511945i −1.27008 + 0.0379479i
\(183\) −2.35637 + 2.35637i −0.174188 + 0.174188i
\(184\) −4.08313 + 1.09407i −0.301012 + 0.0806559i
\(185\) −0.215742 + 11.5969i −0.0158617 + 0.852619i
\(186\) −4.39294 + 2.53626i −0.322106 + 0.185968i
\(187\) −2.74775 −0.200935
\(188\) −3.22321 + 1.86092i −0.235077 + 0.135722i
\(189\) −4.59233 1.23051i −0.334043 0.0895064i
\(190\) 4.77044 16.5647i 0.346084 1.20173i
\(191\) 4.45931 + 7.72376i 0.322665 + 0.558872i 0.981037 0.193821i \(-0.0620880\pi\)
−0.658372 + 0.752692i \(0.728755\pi\)
\(192\) −0.258819 0.965926i −0.0186787 0.0697097i
\(193\) −6.79051 + 11.7615i −0.488792 + 0.846612i −0.999917 0.0128944i \(-0.995895\pi\)
0.511125 + 0.859506i \(0.329229\pi\)
\(194\) −11.2166 −0.805307
\(195\) −5.76475 5.63628i −0.412822 0.403622i
\(196\) −15.6036 −1.11454
\(197\) −7.86660 + 13.6254i −0.560472 + 0.970767i 0.436983 + 0.899470i \(0.356047\pi\)
−0.997455 + 0.0712967i \(0.977286\pi\)
\(198\) −0.125159 0.467101i −0.00889469 0.0331954i
\(199\) −9.15656 15.8596i −0.649091 1.12426i −0.983340 0.181774i \(-0.941816\pi\)
0.334249 0.942485i \(-0.391517\pi\)
\(200\) −2.65933 + 4.23415i −0.188043 + 0.299399i
\(201\) 1.21853 + 0.326503i 0.0859483 + 0.0230298i
\(202\) −2.70678 + 1.56276i −0.190449 + 0.109956i
\(203\) −12.6529 −0.888062
\(204\) 4.92086 2.84106i 0.344529 0.198914i
\(205\) 11.5434 11.1217i 0.806225 0.776776i
\(206\) 2.00889 0.538280i 0.139966 0.0375037i
\(207\) 2.98906 2.98906i 0.207754 0.207754i
\(208\) 3.17495 + 1.70872i 0.220143 + 0.118478i
\(209\) 3.72793i 0.257866i
\(210\) −7.37613 7.65577i −0.509001 0.528298i
\(211\) −11.7676 + 20.3821i −0.810115 + 1.40316i 0.102667 + 0.994716i \(0.467262\pi\)
−0.912783 + 0.408445i \(0.866071\pi\)
\(212\) −3.39419 0.909471i −0.233114 0.0624628i
\(213\) 11.0848i 0.759517i
\(214\) −0.821514 + 3.06593i −0.0561576 + 0.209583i
\(215\) −24.9379 + 6.18733i −1.70075 + 0.421972i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 6.24180 23.2947i 0.423721 1.58135i
\(218\) −4.96358 + 1.32999i −0.336176 + 0.0900782i
\(219\) 1.29012 + 4.81480i 0.0871784 + 0.325354i
\(220\) 0.299244 1.03908i 0.0201750 0.0700550i
\(221\) −4.70910 + 19.9386i −0.316768 + 1.34122i
\(222\) 3.66789 + 3.66789i 0.246172 + 0.246172i
\(223\) −5.36162 3.09553i −0.359041 0.207292i 0.309619 0.950861i \(-0.399798\pi\)
−0.668660 + 0.743568i \(0.733132\pi\)
\(224\) 4.11737 + 2.37716i 0.275103 + 0.158831i
\(225\) 0.185970 4.99654i 0.0123980 0.333103i
\(226\) −0.649668 + 0.649668i −0.0432153 + 0.0432153i
\(227\) −1.50099 2.59979i −0.0996243 0.172554i 0.811905 0.583790i \(-0.198431\pi\)
−0.911529 + 0.411235i \(0.865097\pi\)
\(228\) −3.85452 6.67623i −0.255272 0.442144i
\(229\) −4.22979 + 4.22979i −0.279512 + 0.279512i −0.832914 0.553402i \(-0.813329\pi\)
0.553402 + 0.832914i \(0.313329\pi\)
\(230\) 9.17407 2.27617i 0.604920 0.150086i
\(231\) 1.99107 + 1.14955i 0.131003 + 0.0756345i
\(232\) 2.30480 + 1.33068i 0.151317 + 0.0873631i
\(233\) 16.3318 + 16.3318i 1.06993 + 1.06993i 0.997364 + 0.0725671i \(0.0231191\pi\)
0.0725671 + 0.997364i \(0.476881\pi\)
\(234\) −3.60394 + 0.107680i −0.235597 + 0.00703926i
\(235\) 7.28347 4.02637i 0.475121 0.262651i
\(236\) −1.95861 7.30964i −0.127495 0.475817i
\(237\) −9.70042 + 2.59922i −0.630110 + 0.168838i
\(238\) −6.99190 + 26.0941i −0.453217 + 1.69143i
\(239\) −8.92240 8.92240i −0.577142 0.577142i 0.356972 0.934115i \(-0.383809\pi\)
−0.934115 + 0.356972i \(0.883809\pi\)
\(240\) 0.538463 + 2.17027i 0.0347576 + 0.140090i
\(241\) −2.47389 + 9.23270i −0.159358 + 0.594731i 0.839335 + 0.543614i \(0.182945\pi\)
−0.998693 + 0.0511162i \(0.983722\pi\)
\(242\) 10.7662i 0.692074i
\(243\) −0.965926 0.258819i −0.0619642 0.0166032i
\(244\) −1.66620 + 2.88595i −0.106668 + 0.184754i
\(245\) 34.8847 + 0.648977i 2.22870 + 0.0414616i
\(246\) 7.16858i 0.457052i
\(247\) 27.0511 + 6.38894i 1.72122 + 0.406518i
\(248\) −3.58682 + 3.58682i −0.227763 + 0.227763i
\(249\) −7.86468 + 2.10734i −0.498404 + 0.133547i
\(250\) 6.12151 9.35559i 0.387158 0.591700i
\(251\) −21.4486 + 12.3834i −1.35383 + 0.781632i −0.988783 0.149358i \(-0.952279\pi\)
−0.365044 + 0.930990i \(0.618946\pi\)
\(252\) −4.75433 −0.299494
\(253\) −1.77030 + 1.02208i −0.111298 + 0.0642578i
\(254\) −2.96031 0.793214i −0.185747 0.0497707i
\(255\) −11.1196 + 6.14703i −0.696338 + 0.384942i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.73941 + 10.2236i 0.170880 + 0.637733i 0.997217 + 0.0745566i \(0.0237541\pi\)
−0.826337 + 0.563176i \(0.809579\pi\)
\(258\) −5.74536 + 9.95126i −0.357691 + 0.619538i
\(259\) −24.6615 −1.53239
\(260\) −7.02710 3.95220i −0.435802 0.245105i
\(261\) −2.66135 −0.164734
\(262\) 1.10414 1.91242i 0.0682138 0.118150i
\(263\) 4.31826 + 16.1160i 0.266275 + 0.993753i 0.961465 + 0.274927i \(0.0886536\pi\)
−0.695190 + 0.718826i \(0.744680\pi\)
\(264\) −0.241789 0.418791i −0.0148811 0.0257748i
\(265\) 7.55051 + 2.17446i 0.463824 + 0.133576i
\(266\) 35.4025 + 9.48606i 2.17066 + 0.581628i
\(267\) 15.1718 8.75947i 0.928502 0.536071i
\(268\) 1.26151 0.0770591
\(269\) −3.81902 + 2.20491i −0.232850 + 0.134436i −0.611886 0.790946i \(-0.709589\pi\)
0.379036 + 0.925382i \(0.376256\pi\)
\(270\) −1.55146 1.61027i −0.0944186 0.0979982i
\(271\) −6.52256 + 1.74771i −0.396217 + 0.106166i −0.451426 0.892309i \(-0.649084\pi\)
0.0552084 + 0.998475i \(0.482418\pi\)
\(272\) 4.01786 4.01786i 0.243619 0.243619i
\(273\) 11.7538 12.4778i 0.711372 0.755190i
\(274\) 7.66923i 0.463315i
\(275\) −0.712231 + 2.31061i −0.0429491 + 0.139335i
\(276\) 2.11358 3.66083i 0.127223 0.220356i
\(277\) −0.244160 0.0654225i −0.0146702 0.00393086i 0.251476 0.967863i \(-0.419084\pi\)
−0.266147 + 0.963933i \(0.585751\pi\)
\(278\) 1.90937i 0.114516i
\(279\) 1.31287 4.89969i 0.0785993 0.293337i
\(280\) −9.10625 5.48583i −0.544202 0.327841i
\(281\) 6.39000 + 6.39000i 0.381196 + 0.381196i 0.871533 0.490337i \(-0.163126\pi\)
−0.490337 + 0.871533i \(0.663126\pi\)
\(282\) 0.963283 3.59502i 0.0573627 0.214080i
\(283\) 10.9341 2.92979i 0.649967 0.174158i 0.0812532 0.996693i \(-0.474108\pi\)
0.568714 + 0.822535i \(0.307441\pi\)
\(284\) −2.86896 10.7071i −0.170241 0.635349i
\(285\) 8.33981 + 15.0862i 0.494008 + 0.893632i
\(286\) 1.69688 + 0.400770i 0.100339 + 0.0236980i
\(287\) 24.0995 + 24.0995i 1.42255 + 1.42255i
\(288\) 0.866025 + 0.500000i 0.0510310 + 0.0294628i
\(289\) 13.2384 + 7.64321i 0.778731 + 0.449601i
\(290\) −5.09745 3.07083i −0.299332 0.180325i
\(291\) 7.93136 7.93136i 0.464944 0.464944i
\(292\) 2.49233 + 4.31683i 0.145852 + 0.252624i
\(293\) −0.845332 1.46416i −0.0493848 0.0855370i 0.840276 0.542158i \(-0.182393\pi\)
−0.889661 + 0.456621i \(0.849059\pi\)
\(294\) 11.0334 11.0334i 0.643482 0.643482i
\(295\) 4.07481 + 16.4235i 0.237245 + 0.956212i
\(296\) 4.49223 + 2.59359i 0.261105 + 0.150749i
\(297\) 0.418791 + 0.241789i 0.0243007 + 0.0140300i
\(298\) 14.7288 + 14.7288i 0.853216 + 0.853216i
\(299\) 4.38264 + 14.5975i 0.253454 + 0.844198i
\(300\) −1.11357 4.87442i −0.0642918 0.281425i
\(301\) −14.1395 52.7692i −0.814984 3.04156i
\(302\) 12.0459 3.22769i 0.693165 0.185733i
\(303\) 0.808945 3.01902i 0.0464727 0.173438i
\(304\) −5.45112 5.45112i −0.312643 0.312643i
\(305\) 3.84513 6.38277i 0.220172 0.365476i
\(306\) −1.47064 + 5.48850i −0.0840709 + 0.313757i
\(307\) 17.7546i 1.01331i −0.862149 0.506655i \(-0.830882\pi\)
0.862149 0.506655i \(-0.169118\pi\)
\(308\) 2.22075 + 0.595048i 0.126539 + 0.0339060i
\(309\) −1.03988 + 1.80112i −0.0591565 + 0.102462i
\(310\) 8.16816 7.86980i 0.463921 0.446975i
\(311\) 25.1577i 1.42656i −0.700879 0.713281i \(-0.747209\pi\)
0.700879 0.713281i \(-0.252791\pi\)
\(312\) −3.45327 + 1.03678i −0.195503 + 0.0586961i
\(313\) −0.0166772 + 0.0166772i −0.000942650 + 0.000942650i −0.707578 0.706635i \(-0.750212\pi\)
0.706635 + 0.707578i \(0.250212\pi\)
\(314\) −18.2740 + 4.89650i −1.03126 + 0.276325i
\(315\) 10.6292 + 0.197739i 0.598885 + 0.0111413i
\(316\) −8.69716 + 5.02131i −0.489254 + 0.282471i
\(317\) −12.4944 −0.701755 −0.350878 0.936421i \(-0.614117\pi\)
−0.350878 + 0.936421i \(0.614117\pi\)
\(318\) 3.04315 1.75696i 0.170651 0.0985256i
\(319\) 1.24312 + 0.333093i 0.0696014 + 0.0186496i
\(320\) 1.08182 + 1.95695i 0.0604757 + 0.109397i
\(321\) −1.58704 2.74884i −0.0885802 0.153425i
\(322\) 5.20157 + 19.4125i 0.289872 + 1.08182i
\(323\) 21.9018 37.9351i 1.21865 2.11077i
\(324\) −1.00000 −0.0555556
\(325\) 15.5460 + 9.12812i 0.862336 + 0.506337i
\(326\) −10.1900 −0.564372
\(327\) 2.56934 4.45023i 0.142085 0.246098i
\(328\) −1.85537 6.92432i −0.102445 0.382332i
\(329\) 8.84742 + 15.3242i 0.487774 + 0.844850i
\(330\) 0.523146 + 0.946340i 0.0287982 + 0.0520943i
\(331\) −26.8411 7.19206i −1.47532 0.395311i −0.570569 0.821250i \(-0.693277\pi\)
−0.904752 + 0.425938i \(0.859944\pi\)
\(332\) −7.05128 + 4.07106i −0.386989 + 0.223428i
\(333\) −5.18718 −0.284255
\(334\) −0.943685 + 0.544837i −0.0516362 + 0.0298122i
\(335\) −2.82034 0.0524681i −0.154092 0.00286664i
\(336\) −4.59233 + 1.23051i −0.250532 + 0.0671298i
\(337\) −9.22124 + 9.22124i −0.502313 + 0.502313i −0.912156 0.409843i \(-0.865583\pi\)
0.409843 + 0.912156i \(0.365583\pi\)
\(338\) 5.81624 11.6263i 0.316362 0.632388i
\(339\) 0.918769i 0.0499007i
\(340\) −9.14977 + 8.81555i −0.496216 + 0.478090i
\(341\) −1.22648 + 2.12433i −0.0664178 + 0.115039i
\(342\) 7.44637 + 1.99525i 0.402653 + 0.107891i
\(343\) 40.9044i 2.20863i
\(344\) −2.97402 + 11.0992i −0.160348 + 0.598428i
\(345\) −4.87755 + 8.09654i −0.262599 + 0.435903i
\(346\) 12.4821 + 12.4821i 0.671039 + 0.671039i
\(347\) 8.51297 31.7708i 0.457000 1.70555i −0.225140 0.974326i \(-0.572284\pi\)
0.682140 0.731222i \(-0.261049\pi\)
\(348\) −2.57067 + 0.688808i −0.137802 + 0.0369240i
\(349\) 3.94625 + 14.7276i 0.211238 + 0.788351i 0.987457 + 0.157888i \(0.0504684\pi\)
−0.776219 + 0.630463i \(0.782865\pi\)
\(350\) 20.1305 + 12.6433i 1.07602 + 0.675813i
\(351\) 2.47223 2.62451i 0.131958 0.140086i
\(352\) −0.341942 0.341942i −0.0182256 0.0182256i
\(353\) 2.73423 + 1.57861i 0.145528 + 0.0840208i 0.570996 0.820953i \(-0.306557\pi\)
−0.425468 + 0.904974i \(0.639890\pi\)
\(354\) 6.55364 + 3.78375i 0.348322 + 0.201104i
\(355\) 5.96875 + 24.0570i 0.316788 + 1.27681i
\(356\) 12.3878 12.3878i 0.656550 0.656550i
\(357\) −13.5073 23.3954i −0.714883 1.23821i
\(358\) −1.93938 3.35910i −0.102499 0.177534i
\(359\) −14.4885 + 14.4885i −0.764671 + 0.764671i −0.977163 0.212492i \(-0.931842\pi\)
0.212492 + 0.977163i \(0.431842\pi\)
\(360\) −1.91536 1.15386i −0.100948 0.0608138i
\(361\) −35.0129 20.2147i −1.84278 1.06393i
\(362\) −7.65209 4.41793i −0.402185 0.232201i
\(363\) 7.61282 + 7.61282i 0.399569 + 0.399569i
\(364\) 8.12380 15.0947i 0.425803 0.791179i
\(365\) −5.39250 9.75473i −0.282256 0.510586i
\(366\) −0.862491 3.21886i −0.0450831 0.168253i
\(367\) −3.54857 + 0.950838i −0.185234 + 0.0496333i −0.350244 0.936659i \(-0.613901\pi\)
0.165009 + 0.986292i \(0.447235\pi\)
\(368\) 1.09407 4.08313i 0.0570324 0.212848i
\(369\) 5.06895 + 5.06895i 0.263879 + 0.263879i
\(370\) −9.93531 5.98527i −0.516512 0.311160i
\(371\) −4.32392 + 16.1371i −0.224487 + 0.837797i
\(372\) 5.07253i 0.262998i
\(373\) −9.14360 2.45002i −0.473438 0.126857i 0.0142076 0.999899i \(-0.495477\pi\)
−0.487645 + 0.873042i \(0.662144\pi\)
\(374\) 1.37387 2.37962i 0.0710414 0.123047i
\(375\) 2.28684 + 10.9440i 0.118092 + 0.565144i
\(376\) 3.72184i 0.191939i
\(377\) 4.54750 8.44965i 0.234208 0.435179i
\(378\) 3.36182 3.36182i 0.172913 0.172913i
\(379\) 24.1182 6.46245i 1.23887 0.331954i 0.420841 0.907134i \(-0.361735\pi\)
0.818026 + 0.575181i \(0.195068\pi\)
\(380\) 11.9602 + 12.4137i 0.613548 + 0.636809i
\(381\) 2.65415 1.53237i 0.135976 0.0785058i
\(382\) −8.91863 −0.456317
\(383\) −10.2864 + 5.93884i −0.525609 + 0.303460i −0.739226 0.673457i \(-0.764809\pi\)
0.213618 + 0.976917i \(0.431475\pi\)
\(384\) 0.965926 + 0.258819i 0.0492922 + 0.0132078i
\(385\) −4.94014 1.42270i −0.251773 0.0725076i
\(386\) −6.79051 11.7615i −0.345628 0.598645i
\(387\) −2.97402 11.0992i −0.151178 0.564203i
\(388\) 5.60832 9.71389i 0.284719 0.493148i
\(389\) −1.36456 −0.0691861 −0.0345930 0.999401i \(-0.511014\pi\)
−0.0345930 + 0.999401i \(0.511014\pi\)
\(390\) 7.76354 2.17428i 0.393122 0.110099i
\(391\) 24.0192 1.21470
\(392\) 7.80181 13.5131i 0.394051 0.682516i
\(393\) 0.571543 + 2.13303i 0.0288305 + 0.107597i
\(394\) −7.86660 13.6254i −0.396314 0.686436i
\(395\) 19.6529 10.8643i 0.988846 0.546643i
\(396\) 0.467101 + 0.125159i 0.0234727 + 0.00628949i
\(397\) −2.25580 + 1.30238i −0.113215 + 0.0653648i −0.555538 0.831491i \(-0.687488\pi\)
0.442323 + 0.896856i \(0.354154\pi\)
\(398\) 18.3131 0.917953
\(399\) −31.7410 + 18.3257i −1.58904 + 0.917431i
\(400\) −2.33722 4.42012i −0.116861 0.221006i
\(401\) 36.4992 9.77993i 1.82268 0.488387i 0.825569 0.564301i \(-0.190854\pi\)
0.997114 + 0.0759143i \(0.0241875\pi\)
\(402\) −0.892024 + 0.892024i −0.0444901 + 0.0444901i
\(403\) 13.3129 + 12.5405i 0.663164 + 0.624685i
\(404\) 3.12552i 0.155501i
\(405\) 2.23568 + 0.0415914i 0.111092 + 0.00206670i
\(406\) 6.32646 10.9578i 0.313977 0.543824i
\(407\) 2.42294 + 0.649224i 0.120100 + 0.0321808i
\(408\) 5.68211i 0.281307i
\(409\) −7.99933 + 29.8539i −0.395541 + 1.47618i 0.425315 + 0.905045i \(0.360163\pi\)
−0.820856 + 0.571135i \(0.806503\pi\)
\(410\) 3.86001 + 15.5577i 0.190632 + 0.768342i
\(411\) 5.42296 + 5.42296i 0.267495 + 0.267495i
\(412\) −0.538280 + 2.00889i −0.0265192 + 0.0989708i
\(413\) −34.7524 + 9.31187i −1.71005 + 0.458207i
\(414\) 1.09407 + 4.08313i 0.0537706 + 0.200675i
\(415\) 15.9337 8.80832i 0.782156 0.432383i
\(416\) −3.06727 + 1.89523i −0.150385 + 0.0929211i
\(417\) −1.35013 1.35013i −0.0661159 0.0661159i
\(418\) −3.22848 1.86397i −0.157910 0.0911695i
\(419\) −19.8423 11.4560i −0.969360 0.559660i −0.0703189 0.997525i \(-0.522402\pi\)
−0.899041 + 0.437864i \(0.855735\pi\)
\(420\) 10.3182 2.56003i 0.503474 0.124917i
\(421\) 24.4713 24.4713i 1.19266 1.19266i 0.216338 0.976319i \(-0.430589\pi\)
0.976319 0.216338i \(-0.0694112\pi\)
\(422\) −11.7676 20.3821i −0.572838 0.992185i
\(423\) 1.86092 + 3.22321i 0.0904811 + 0.156718i
\(424\) 2.48472 2.48472i 0.120669 0.120669i
\(425\) 20.8226 19.3282i 1.01005 0.937556i
\(426\) 9.59971 + 5.54240i 0.465107 + 0.268530i
\(427\) 13.7208 + 7.92168i 0.663994 + 0.383357i
\(428\) −2.24442 2.24442i −0.108488 0.108488i
\(429\) −1.48326 + 0.916490i −0.0716127 + 0.0442486i
\(430\) 7.11059 24.6906i 0.342903 1.19068i
\(431\) 5.85603 + 21.8550i 0.282075 + 1.05272i 0.950950 + 0.309344i \(0.100109\pi\)
−0.668875 + 0.743375i \(0.733224\pi\)
\(432\) −0.965926 + 0.258819i −0.0464731 + 0.0124524i
\(433\) 3.75119 13.9996i 0.180271 0.672779i −0.815323 0.579006i \(-0.803441\pi\)
0.995594 0.0937729i \(-0.0298927\pi\)
\(434\) 17.0529 + 17.0529i 0.818566 + 0.818566i
\(435\) 5.77584 1.43304i 0.276930 0.0687089i
\(436\) 1.32999 4.96358i 0.0636949 0.237713i
\(437\) 32.5874i 1.55887i
\(438\) −4.81480 1.29012i −0.230060 0.0616444i
\(439\) −4.36192 + 7.55507i −0.208183 + 0.360584i −0.951142 0.308753i \(-0.900088\pi\)
0.742959 + 0.669337i \(0.233422\pi\)
\(440\) 0.750251 + 0.778695i 0.0357668 + 0.0371228i
\(441\) 15.6036i 0.743029i
\(442\) −14.9128 14.0475i −0.709329 0.668172i
\(443\) 6.96074 6.96074i 0.330715 0.330715i −0.522143 0.852858i \(-0.674867\pi\)
0.852858 + 0.522143i \(0.174867\pi\)
\(444\) −5.01043 + 1.34254i −0.237784 + 0.0637141i
\(445\) −28.2103 + 27.1799i −1.33730 + 1.28845i
\(446\) 5.36162 3.09553i 0.253880 0.146578i
\(447\) −20.8297 −0.985209
\(448\) −4.11737 + 2.37716i −0.194527 + 0.112310i
\(449\) 16.3716 + 4.38676i 0.772625 + 0.207024i 0.623531 0.781799i \(-0.285698\pi\)
0.149094 + 0.988823i \(0.452364\pi\)
\(450\) 4.23415 + 2.65933i 0.199600 + 0.125362i
\(451\) −1.73329 3.00214i −0.0816173 0.141365i
\(452\) −0.237795 0.887463i −0.0111849 0.0417427i
\(453\) −6.23543 + 10.8001i −0.292966 + 0.507432i
\(454\) 3.00198 0.140890
\(455\) −18.7900 + 33.4091i −0.880891 + 1.56624i
\(456\) 7.70905 0.361009
\(457\) 1.93631 3.35379i 0.0905767 0.156883i −0.817177 0.576386i \(-0.804462\pi\)
0.907754 + 0.419503i \(0.137796\pi\)
\(458\) −1.54821 5.77800i −0.0723431 0.269988i
\(459\) −2.84106 4.92086i −0.132609 0.229686i
\(460\) −2.61582 + 9.08306i −0.121963 + 0.423500i
\(461\) −17.8876 4.79296i −0.833107 0.223230i −0.183039 0.983106i \(-0.558593\pi\)
−0.650069 + 0.759875i \(0.725260\pi\)
\(462\) −1.99107 + 1.14955i −0.0926330 + 0.0534817i
\(463\) 32.4579 1.50845 0.754224 0.656617i \(-0.228013\pi\)
0.754224 + 0.656617i \(0.228013\pi\)
\(464\) −2.30480 + 1.33068i −0.106998 + 0.0617751i
\(465\) −0.210974 + 11.3406i −0.00978367 + 0.525906i
\(466\) −22.3096 + 5.97785i −1.03347 + 0.276918i
\(467\) −10.9462 + 10.9462i −0.506532 + 0.506532i −0.913460 0.406929i \(-0.866600\pi\)
0.406929 + 0.913460i \(0.366600\pi\)
\(468\) 1.70872 3.17495i 0.0789855 0.146762i
\(469\) 5.99764i 0.276945i
\(470\) −0.154797 + 8.32085i −0.00714024 + 0.383812i
\(471\) 9.45930 16.3840i 0.435862 0.754935i
\(472\) 7.30964 + 1.95861i 0.336453 + 0.0901524i
\(473\) 5.55667i 0.255496i
\(474\) 2.59922 9.70042i 0.119386 0.445555i
\(475\) −26.2230 28.2505i −1.20319 1.29622i
\(476\) −19.1022 19.1022i −0.875549 0.875549i
\(477\) −0.909471 + 3.39419i −0.0416418 + 0.155409i
\(478\) 12.1882 3.26583i 0.557477 0.149375i
\(479\) −5.23155 19.5244i −0.239036 0.892093i −0.976288 0.216476i \(-0.930544\pi\)
0.737252 0.675618i \(-0.236123\pi\)
\(480\) −2.14874 0.618811i −0.0980760 0.0282447i
\(481\) 8.86342 16.4690i 0.404137 0.750922i
\(482\) −6.75881 6.75881i −0.307855 0.307855i
\(483\) −17.4048 10.0487i −0.791945 0.457230i
\(484\) 9.32376 + 5.38308i 0.423807 + 0.244685i
\(485\) −12.9424 + 21.4839i −0.587685 + 0.975534i
\(486\) 0.707107 0.707107i 0.0320750 0.0320750i
\(487\) 12.5440 + 21.7268i 0.568423 + 0.984537i 0.996722 + 0.0809002i \(0.0257795\pi\)
−0.428299 + 0.903637i \(0.640887\pi\)
\(488\) −1.66620 2.88595i −0.0754255 0.130641i
\(489\) 7.20542 7.20542i 0.325840 0.325840i
\(490\) −18.0044 + 29.8865i −0.813355 + 1.35014i
\(491\) −25.8562 14.9281i −1.16687 0.673695i −0.213933 0.976848i \(-0.568627\pi\)
−0.952942 + 0.303153i \(0.901961\pi\)
\(492\) 6.20817 + 3.58429i 0.279886 + 0.161592i
\(493\) −10.6929 10.6929i −0.481586 0.481586i
\(494\) −19.0585 + 20.2325i −0.857485 + 0.910303i
\(495\) −1.03908 0.299244i −0.0467033 0.0134500i
\(496\) −1.31287 4.89969i −0.0589495 0.220002i
\(497\) −50.9050 + 13.6399i −2.28340 + 0.611835i
\(498\) 2.10734 7.86468i 0.0944319 0.352425i
\(499\) −0.591394 0.591394i −0.0264744 0.0264744i 0.693746 0.720220i \(-0.255959\pi\)
−0.720220 + 0.693746i \(0.755959\pi\)
\(500\) 5.04143 + 9.97918i 0.225460 + 0.446282i
\(501\) 0.282028 1.05254i 0.0126001 0.0470242i
\(502\) 24.7668i 1.10539i
\(503\) 40.1917 + 10.7693i 1.79206 + 0.480181i 0.992694 0.120663i \(-0.0385019\pi\)
0.799367 + 0.600844i \(0.205169\pi\)
\(504\) 2.37716 4.11737i 0.105887 0.183402i
\(505\) −0.129995 + 6.98767i −0.00578470 + 0.310947i
\(506\) 2.04417i 0.0908743i
\(507\) 4.10834 + 12.3338i 0.182458 + 0.547761i
\(508\) 2.16710 2.16710i 0.0961495 0.0961495i
\(509\) −8.70333 + 2.33205i −0.385769 + 0.103366i −0.446491 0.894788i \(-0.647326\pi\)
0.0607220 + 0.998155i \(0.480660\pi\)
\(510\) 0.236327 12.7034i 0.0104647 0.562516i
\(511\) 20.5236 11.8493i 0.907912 0.524183i
\(512\) 1.00000 0.0441942
\(513\) −6.67623 + 3.85452i −0.294763 + 0.170181i
\(514\) −10.2236 2.73941i −0.450945 0.120830i
\(515\) 1.28698 4.46885i 0.0567109 0.196921i
\(516\) −5.74536 9.95126i −0.252925 0.438080i
\(517\) −0.465823 1.73848i −0.0204869 0.0764581i
\(518\) 12.3308 21.3575i 0.541782 0.938395i
\(519\) −17.6523 −0.774849
\(520\) 6.93625 4.10955i 0.304175 0.180216i
\(521\) −5.28662 −0.231611 −0.115806 0.993272i \(-0.536945\pi\)
−0.115806 + 0.993272i \(0.536945\pi\)
\(522\) 1.33068 2.30480i 0.0582421 0.100878i
\(523\) −3.86852 14.4375i −0.169159 0.631309i −0.997473 0.0710454i \(-0.977366\pi\)
0.828314 0.560264i \(-0.189300\pi\)
\(524\) 1.10414 + 1.91242i 0.0482344 + 0.0835445i
\(525\) −23.1746 + 5.29426i −1.01142 + 0.231060i
\(526\) −16.1160 4.31826i −0.702689 0.188285i
\(527\) 24.9612 14.4113i 1.08733 0.627768i
\(528\) 0.483579 0.0210451
\(529\) −4.44366 + 2.56555i −0.193203 + 0.111546i
\(530\) −5.65839 + 5.45170i −0.245785 + 0.236807i
\(531\) −7.30964 + 1.95861i −0.317211 + 0.0849965i
\(532\) −25.9164 + 25.9164i −1.12362 + 1.12362i
\(533\) −24.7551 + 7.43224i −1.07226 + 0.321926i
\(534\) 17.5189i 0.758119i
\(535\) 4.92446 + 5.11115i 0.212903 + 0.220974i
\(536\) −0.630756 + 1.09250i −0.0272445 + 0.0471889i
\(537\) 3.74659 + 1.00390i 0.161677 + 0.0433213i
\(538\) 4.40983i 0.190121i
\(539\) 1.95294 7.28846i 0.0841190 0.313936i
\(540\) 2.17027 0.538463i 0.0933934 0.0231717i
\(541\) 24.5374 + 24.5374i 1.05495 + 1.05495i 0.998400 + 0.0565474i \(0.0180092\pi\)
0.0565474 + 0.998400i \(0.481991\pi\)
\(542\) 1.74771 6.52256i 0.0750707 0.280168i
\(543\) 8.53479 2.28689i 0.366263 0.0981399i
\(544\) 1.47064 + 5.48850i 0.0630531 + 0.235318i
\(545\) −3.17987 + 11.0417i −0.136211 + 0.472973i
\(546\) 4.92919 + 16.4180i 0.210950 + 0.702625i
\(547\) 16.1197 + 16.1197i 0.689230 + 0.689230i 0.962062 0.272832i \(-0.0879602\pi\)
−0.272832 + 0.962062i \(0.587960\pi\)
\(548\) 6.64175 + 3.83461i 0.283721 + 0.163807i
\(549\) 2.88595 + 1.66620i 0.123169 + 0.0711119i
\(550\) −1.64493 1.77212i −0.0701403 0.0755633i
\(551\) −14.5073 + 14.5073i −0.618034 + 0.618034i
\(552\) 2.11358 + 3.66083i 0.0899600 + 0.155815i
\(553\) 23.8729 + 41.3491i 1.01518 + 1.75834i
\(554\) 0.178738 0.178738i 0.00759384 0.00759384i
\(555\) 11.2576 2.79310i 0.477857 0.118560i
\(556\) −1.65356 0.954683i −0.0701265 0.0404876i
\(557\) −13.1316 7.58155i −0.556405 0.321241i 0.195296 0.980744i \(-0.437433\pi\)
−0.751701 + 0.659504i \(0.770767\pi\)
\(558\) 3.58682 + 3.58682i 0.151842 + 0.151842i
\(559\) 40.3211 + 9.52303i 1.70540 + 0.402781i
\(560\) 9.30399 5.14333i 0.393165 0.217345i
\(561\) 0.711170 + 2.65412i 0.0300256 + 0.112057i
\(562\) −8.72890 + 2.33890i −0.368207 + 0.0986607i
\(563\) 0.973022 3.63137i 0.0410080 0.153044i −0.942386 0.334528i \(-0.891423\pi\)
0.983394 + 0.181484i \(0.0580899\pi\)
\(564\) 2.63174 + 2.63174i 0.110816 + 0.110816i
\(565\) 0.494723 + 1.99397i 0.0208131 + 0.0838871i
\(566\) −2.92979 + 10.9341i −0.123148 + 0.459596i
\(567\) 4.75433i 0.199663i
\(568\) 10.7071 + 2.86896i 0.449259 + 0.120379i
\(569\) 5.02462 8.70289i 0.210643 0.364844i −0.741273 0.671204i \(-0.765778\pi\)
0.951916 + 0.306359i \(0.0991109\pi\)
\(570\) −17.2350 0.320630i −0.721894 0.0134297i
\(571\) 10.3229i 0.432000i 0.976393 + 0.216000i \(0.0693011\pi\)
−0.976393 + 0.216000i \(0.930699\pi\)
\(572\) −1.19552 + 1.26916i −0.0499871 + 0.0530662i
\(573\) 6.30642 6.30642i 0.263455 0.263455i
\(574\) −32.9205 + 8.82101i −1.37407 + 0.368182i
\(575\) 6.22591 20.1980i 0.259638 0.842316i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) 8.72658 0.363292 0.181646 0.983364i \(-0.441857\pi\)
0.181646 + 0.983364i \(0.441857\pi\)
\(578\) −13.2384 + 7.64321i −0.550646 + 0.317916i
\(579\) 13.1183 + 3.51503i 0.545176 + 0.146080i
\(580\) 5.20814 2.87911i 0.216256 0.119548i
\(581\) 19.3551 + 33.5241i 0.802986 + 1.39081i
\(582\) 2.90308 + 10.8344i 0.120336 + 0.449102i
\(583\) 0.849630 1.47160i 0.0351881 0.0609476i
\(584\) −4.98465 −0.206266
\(585\) −3.95220 + 7.02710i −0.163403 + 0.290535i
\(586\) 1.69066 0.0698407
\(587\) −5.01380 + 8.68416i −0.206942 + 0.358434i −0.950750 0.309960i \(-0.899684\pi\)
0.743808 + 0.668394i \(0.233018\pi\)
\(588\) 4.03851 + 15.0719i 0.166545 + 0.621556i
\(589\) −19.5522 33.8654i −0.805634 1.39540i
\(590\) −16.2606 4.68285i −0.669436 0.192790i
\(591\) 15.1971 + 4.07205i 0.625126 + 0.167502i
\(592\) −4.49223 + 2.59359i −0.184629 + 0.106596i
\(593\) −33.5484 −1.37767 −0.688833 0.724920i \(-0.741877\pi\)
−0.688833 + 0.724920i \(0.741877\pi\)
\(594\) −0.418791 + 0.241789i −0.0171832 + 0.00992074i
\(595\) 41.9120 + 43.5010i 1.71822 + 1.78337i
\(596\) −20.1199 + 5.39111i −0.824143 + 0.220829i
\(597\) −12.9493 + 12.9493i −0.529981 + 0.529981i
\(598\) −14.8332 3.50330i −0.606573 0.143260i
\(599\) 2.25756i 0.0922415i 0.998936 + 0.0461207i \(0.0146859\pi\)
−0.998936 + 0.0461207i \(0.985314\pi\)
\(600\) 4.77815 + 1.47283i 0.195067 + 0.0601282i
\(601\) 10.5394 18.2548i 0.429911 0.744628i −0.566954 0.823750i \(-0.691878\pi\)
0.996865 + 0.0791216i \(0.0252115\pi\)
\(602\) 52.7692 + 14.1395i 2.15071 + 0.576281i
\(603\) 1.26151i 0.0513727i
\(604\) −3.22769 + 12.0459i −0.131333 + 0.490141i
\(605\) −20.6211 12.4226i −0.838366 0.505052i
\(606\) 2.21008 + 2.21008i 0.0897783 + 0.0897783i
\(607\) 9.72276 36.2858i 0.394635 1.47280i −0.427767 0.903889i \(-0.640699\pi\)
0.822401 0.568908i \(-0.192634\pi\)
\(608\) 7.44637 1.99525i 0.301990 0.0809180i
\(609\) 3.27482 + 12.2218i 0.132702 + 0.495252i
\(610\) 3.60507 + 6.52137i 0.145965 + 0.264042i
\(611\) −13.4133 + 0.400768i −0.542644 + 0.0162133i
\(612\) −4.01786 4.01786i −0.162412 0.162412i
\(613\) −17.6627 10.1975i −0.713388 0.411875i 0.0989261 0.995095i \(-0.468459\pi\)
−0.812314 + 0.583220i \(0.801793\pi\)
\(614\) 15.3759 + 8.87731i 0.620523 + 0.358259i
\(615\) −13.7304 8.27154i −0.553664 0.333541i
\(616\) −1.62570 + 1.62570i −0.0655014 + 0.0655014i
\(617\) 9.32288 + 16.1477i 0.375325 + 0.650082i 0.990376 0.138406i \(-0.0441977\pi\)
−0.615051 + 0.788488i \(0.710864\pi\)
\(618\) −1.03988 1.80112i −0.0418300 0.0724517i
\(619\) −13.6709 + 13.6709i −0.549479 + 0.549479i −0.926290 0.376811i \(-0.877020\pi\)
0.376811 + 0.926290i \(0.377020\pi\)
\(620\) 2.73137 + 11.0087i 0.109694 + 0.442122i
\(621\) −3.66083 2.11358i −0.146904 0.0848151i
\(622\) 21.7872 + 12.5788i 0.873587 + 0.504365i
\(623\) −58.8955 58.8955i −2.35960 2.35960i
\(624\) 0.828758 3.50901i 0.0331769 0.140473i
\(625\) −10.8560 22.5199i −0.434239 0.900798i
\(626\) −0.00610427 0.0227815i −0.000243976 0.000910530i
\(627\) 3.60091 0.964860i 0.143806 0.0385328i
\(628\) 4.89650 18.2740i 0.195391 0.729211i
\(629\) −20.8414 20.8414i −0.830999 0.830999i
\(630\) −5.48583 + 9.10625i −0.218561 + 0.362802i
\(631\) −3.95463 + 14.7589i −0.157431 + 0.587542i 0.841454 + 0.540329i \(0.181700\pi\)
−0.998885 + 0.0472123i \(0.984966\pi\)
\(632\) 10.0426i 0.399474i
\(633\) 22.7333 + 6.09136i 0.903566 + 0.242110i
\(634\) 6.24720 10.8205i 0.248108 0.429736i
\(635\) −4.93508 + 4.75481i −0.195843 + 0.188689i
\(636\) 3.51393i 0.139336i
\(637\) −49.5406 26.6622i −1.96287 1.05639i
\(638\) −0.910027 + 0.910027i −0.0360283 + 0.0360283i
\(639\) −10.7071 + 2.86896i −0.423566 + 0.113494i
\(640\) −2.23568 0.0415914i −0.0883731 0.00164405i
\(641\) 7.65295 4.41843i 0.302273 0.174518i −0.341190 0.939994i \(-0.610830\pi\)
0.643464 + 0.765477i \(0.277497\pi\)
\(642\) 3.17409 0.125271
\(643\) 4.89241 2.82463i 0.192938 0.111393i −0.400419 0.916332i \(-0.631136\pi\)
0.593357 + 0.804939i \(0.297802\pi\)
\(644\) −19.4125 5.20157i −0.764960 0.204970i
\(645\) 12.4309 + 22.4868i 0.489467 + 0.885417i
\(646\) 21.9018 + 37.9351i 0.861717 + 1.49254i
\(647\) −6.64822 24.8115i −0.261369 0.975441i −0.964436 0.264318i \(-0.914853\pi\)
0.703067 0.711124i \(-0.251813\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 3.65948 0.143647
\(650\) −15.6782 + 8.89915i −0.614949 + 0.349053i
\(651\) −24.1164 −0.945198
\(652\) 5.09500 8.82480i 0.199536 0.345606i
\(653\) 3.88139 + 14.4856i 0.151891 + 0.566864i 0.999352 + 0.0360059i \(0.0114635\pi\)
−0.847461 + 0.530858i \(0.821870\pi\)
\(654\) 2.56934 + 4.45023i 0.100469 + 0.174018i
\(655\) −2.38896 4.32149i −0.0933443 0.168854i
\(656\) 6.92432 + 1.85537i 0.270349 + 0.0724399i
\(657\) 4.31683 2.49233i 0.168416 0.0972349i
\(658\) −17.6948 −0.689817
\(659\) −12.1812 + 7.03281i −0.474511 + 0.273959i −0.718126 0.695913i \(-0.755000\pi\)
0.243615 + 0.969872i \(0.421667\pi\)
\(660\) −1.08113 0.0201127i −0.0420828 0.000782887i
\(661\) −26.2706 + 7.03917i −1.02181 + 0.273792i −0.730555 0.682854i \(-0.760738\pi\)
−0.291252 + 0.956646i \(0.594072\pi\)
\(662\) 19.6491 19.6491i 0.763683 0.763683i
\(663\) 20.4780 0.611850i 0.795300 0.0237623i
\(664\) 8.14212i 0.315975i
\(665\) 59.0187 56.8629i 2.28865 2.20505i
\(666\) 2.59359 4.49223i 0.100499 0.174070i
\(667\) −10.8666 2.91171i −0.420758 0.112742i
\(668\) 1.08967i 0.0421608i
\(669\) −1.60237 + 5.98011i −0.0619511 + 0.231204i
\(670\) 1.45561 2.41625i 0.0562350 0.0933479i
\(671\) −1.13949 1.13949i −0.0439895 0.0439895i
\(672\) 1.23051 4.59233i 0.0474680 0.177153i
\(673\) 33.1949 8.89455i 1.27957 0.342860i 0.445880 0.895093i \(-0.352891\pi\)
0.833690 + 0.552233i \(0.186224\pi\)
\(674\) −3.37521 12.5965i −0.130008 0.485197i
\(675\) −4.87442 + 1.11357i −0.187617 + 0.0428612i
\(676\) 7.16057 + 10.8502i 0.275406 + 0.417314i
\(677\) −1.25853 1.25853i −0.0483691 0.0483691i 0.682509 0.730878i \(-0.260889\pi\)
−0.730878 + 0.682509i \(0.760889\pi\)
\(678\) 0.795677 + 0.459384i 0.0305578 + 0.0176426i
\(679\) −46.1830 26.6638i −1.77234 1.02326i
\(680\) −3.05961 12.3317i −0.117331 0.472899i
\(681\) −2.12272 + 2.12272i −0.0813429 + 0.0813429i
\(682\) −1.22648 2.12433i −0.0469645 0.0813448i
\(683\) 13.0516 + 22.6061i 0.499407 + 0.864999i 1.00000 0.000684427i \(-0.000217860\pi\)
−0.500593 + 0.865683i \(0.666885\pi\)
\(684\) −5.45112 + 5.45112i −0.208429 + 0.208429i
\(685\) −14.6893 8.84922i −0.561251 0.338111i
\(686\) −35.4242 20.4522i −1.35250 0.780868i
\(687\) 5.18041 + 2.99091i 0.197645 + 0.114110i
\(688\) −8.12517 8.12517i −0.309769 0.309769i
\(689\) −9.22235 8.68724i −0.351344 0.330958i
\(690\) −4.57303 8.27236i −0.174092 0.314923i
\(691\) 8.35072 + 31.1653i 0.317676 + 1.18558i 0.921472 + 0.388445i \(0.126988\pi\)
−0.603795 + 0.797139i \(0.706346\pi\)
\(692\) −17.0508 + 4.56875i −0.648174 + 0.173678i
\(693\) 0.595048 2.22075i 0.0226040 0.0843593i
\(694\) 23.2579 + 23.2579i 0.882857 + 0.882857i
\(695\) 3.65713 + 2.20314i 0.138723 + 0.0835699i
\(696\) 0.688808 2.57067i 0.0261092 0.0974409i
\(697\) 40.7327i 1.54286i
\(698\) −14.7276 3.94625i −0.557448 0.149368i
\(699\) 11.5483 20.0023i 0.436797 0.756555i
\(700\) −21.0147 + 11.1119i −0.794280 + 0.419990i
\(701\) 4.97387i 0.187860i −0.995579 0.0939302i \(-0.970057\pi\)
0.995579 0.0939302i \(-0.0299430\pi\)
\(702\) 1.03678 + 3.45327i 0.0391307 + 0.130335i
\(703\) −28.2759 + 28.2759i −1.06645 + 1.06645i
\(704\) 0.467101 0.125159i 0.0176045 0.00471712i
\(705\) −5.77427 5.99319i −0.217472 0.225717i
\(706\) −2.73423 + 1.57861i −0.102904 + 0.0594117i
\(707\) −14.8598 −0.558859
\(708\) −6.55364 + 3.78375i −0.246301 + 0.142202i
\(709\) −15.3898 4.12368i −0.577975 0.154868i −0.0420233 0.999117i \(-0.513380\pi\)
−0.535952 + 0.844249i \(0.680047\pi\)
\(710\) −23.8183 6.85939i −0.893885 0.257428i
\(711\) 5.02131 + 8.69716i 0.188314 + 0.326169i
\(712\) 4.53424 + 16.9220i 0.169928 + 0.634179i
\(713\) 10.7212 18.5697i 0.401512 0.695439i
\(714\) 27.0146 1.01100
\(715\) 2.72558 2.78771i 0.101931 0.104254i
\(716\) 3.87875 0.144956
\(717\) −6.30909 + 10.9277i −0.235617 + 0.408101i
\(718\) −5.30314 19.7916i −0.197912 0.738616i
\(719\) −8.13858 14.0964i −0.303518 0.525708i 0.673412 0.739267i \(-0.264828\pi\)
−0.976930 + 0.213559i \(0.931495\pi\)
\(720\) 1.95695 1.08182i 0.0729313 0.0403171i
\(721\) 9.55091 + 2.55916i 0.355694 + 0.0953080i
\(722\) 35.0129 20.2147i 1.30305 0.752314i
\(723\) 9.55839 0.355481
\(724\) 7.65209 4.41793i 0.284388 0.164191i
\(725\) −11.7635 + 6.22015i −0.436885 + 0.231011i
\(726\) −10.3993 + 2.78649i −0.385954 + 0.103416i
\(727\) 20.2899 20.2899i 0.752510 0.752510i −0.222437 0.974947i \(-0.571401\pi\)
0.974947 + 0.222437i \(0.0714013\pi\)
\(728\) 9.01052 + 14.5828i 0.333952 + 0.540474i
\(729\) 1.00000i 0.0370370i
\(730\) 11.1441 + 0.207319i 0.412461 + 0.00767321i
\(731\) 32.6458 56.5442i 1.20745 2.09136i
\(732\) 3.21886 + 0.862491i 0.118972 + 0.0318786i
\(733\) 10.8810i 0.401899i −0.979602 0.200950i \(-0.935597\pi\)
0.979602 0.200950i \(-0.0644027\pi\)
\(734\) 0.950838 3.54857i 0.0350961 0.130980i
\(735\) −8.40196 33.8640i −0.309911 1.24909i
\(736\) 2.98906 + 2.98906i 0.110178 + 0.110178i
\(737\) −0.157890 + 0.589254i −0.00581595 + 0.0217054i
\(738\) −6.92432 + 1.85537i −0.254888 + 0.0682969i
\(739\) 7.73208 + 28.8565i 0.284429 + 1.06150i 0.949255 + 0.314506i \(0.101839\pi\)
−0.664826 + 0.746998i \(0.731494\pi\)
\(740\) 10.1511 5.61160i 0.373160 0.206286i
\(741\) −0.830110 27.7830i −0.0304948 1.02063i
\(742\) −11.8132 11.8132i −0.433675 0.433675i
\(743\) 4.27056 + 2.46561i 0.156672 + 0.0904543i 0.576286 0.817248i \(-0.304501\pi\)
−0.419615 + 0.907702i \(0.637835\pi\)
\(744\) 4.39294 + 2.53626i 0.161053 + 0.0929840i
\(745\) 45.2059 11.2160i 1.65622 0.410922i
\(746\) 6.69358 6.69358i 0.245069 0.245069i
\(747\) 4.07106 + 7.05128i 0.148952 + 0.257993i
\(748\) 1.37387 + 2.37962i 0.0502338 + 0.0870076i
\(749\) −10.6707 + 10.6707i −0.389899 + 0.389899i
\(750\) −10.6212 3.49152i −0.387830 0.127492i
\(751\) −17.9533 10.3654i −0.655127 0.378238i 0.135291 0.990806i \(-0.456803\pi\)
−0.790418 + 0.612568i \(0.790136\pi\)
\(752\) 3.22321 + 1.86092i 0.117538 + 0.0678608i
\(753\) 17.5127 + 17.5127i 0.638200 + 0.638200i
\(754\) 5.04386 + 8.16307i 0.183687 + 0.297282i
\(755\) 7.71710 26.7966i 0.280854 0.975228i
\(756\) 1.23051 + 4.59233i 0.0447532 + 0.167021i
\(757\) 7.62904 2.04419i 0.277282 0.0742975i −0.117498 0.993073i \(-0.537487\pi\)
0.394780 + 0.918776i \(0.370821\pi\)
\(758\) −6.46245 + 24.1182i −0.234727 + 0.876012i
\(759\) 1.44544 + 1.44544i 0.0524663 + 0.0524663i
\(760\) −16.7307 + 4.15103i −0.606886 + 0.150574i
\(761\) −10.6585 + 39.7780i −0.386370 + 1.44195i 0.449626 + 0.893217i \(0.351557\pi\)
−0.835996 + 0.548736i \(0.815109\pi\)
\(762\) 3.06474i 0.111024i
\(763\) −23.5985 6.32320i −0.854323 0.228915i
\(764\) 4.45931 7.72376i 0.161332 0.279436i
\(765\) 8.81555 + 9.14977i 0.318727 + 0.330811i
\(766\) 11.8777i 0.429158i
\(767\) 6.27162 26.5544i 0.226455 0.958824i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i
\(769\) 7.73593 2.07284i 0.278965 0.0747483i −0.116624 0.993176i \(-0.537207\pi\)
0.395589 + 0.918428i \(0.370541\pi\)
\(770\) 3.70217 3.56694i 0.133417 0.128543i
\(771\) 9.16626 5.29214i 0.330115 0.190592i
\(772\) 13.5810 0.488792