Properties

Label 570.2.u.c.61.1
Level $570$
Weight $2$
Character 570.61
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 61.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 570.61
Dual form 570.2.u.c.271.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(0.173648 + 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-1.43969 + 2.49362i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(0.173648 + 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-1.43969 + 2.49362i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(0.939693 - 0.342020i) q^{10} +(0.266044 + 0.460802i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-0.673648 + 3.82045i) q^{13} +(-2.20574 + 1.85083i) q^{14} +(0.766044 + 0.642788i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.673648 - 0.245188i) q^{17} -1.00000 q^{18} +(4.21688 + 1.10359i) q^{19} +1.00000 q^{20} +(-2.70574 - 0.984808i) q^{21} +(0.0923963 + 0.524005i) q^{22} +(1.20574 + 1.01173i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-1.93969 + 3.35965i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-2.70574 + 0.984808i) q^{28} +(2.91875 - 1.06234i) q^{29} +(0.500000 + 0.866025i) q^{30} +(2.41875 - 4.18939i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-0.407604 + 0.342020i) q^{33} +(-0.549163 - 0.460802i) q^{34} +(0.500000 + 2.83564i) q^{35} +(-0.939693 - 0.342020i) q^{36} -5.92127 q^{37} +(3.58512 + 2.47929i) q^{38} -3.87939 q^{39} +(0.939693 + 0.342020i) q^{40} +(-0.687319 - 3.89798i) q^{41} +(-2.20574 - 1.85083i) q^{42} +(-0.748970 + 0.628461i) q^{43} +(-0.0923963 + 0.524005i) q^{44} +(-0.500000 + 0.866025i) q^{45} +(0.786989 + 1.36310i) q^{46} +(7.23783 - 2.63435i) q^{47} +(-0.939693 + 0.342020i) q^{48} +(-0.645430 - 1.11792i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.124485 - 0.705990i) q^{51} +(-2.97178 + 2.49362i) q^{52} +(-2.07532 - 1.74140i) q^{53} +(-0.173648 - 0.984808i) q^{54} +(0.500000 + 0.181985i) q^{55} -2.87939 q^{56} +(-0.354570 + 4.34445i) q^{57} +3.10607 q^{58} +(7.21688 + 2.62673i) q^{59} +(0.173648 + 0.984808i) q^{60} +(-11.1873 - 9.38728i) q^{61} +(3.70574 - 3.10948i) q^{62} +(0.500000 - 2.83564i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.93969 + 3.35965i) q^{65} +(-0.500000 + 0.181985i) q^{66} +(2.27972 - 0.829748i) q^{67} +(-0.358441 - 0.620838i) q^{68} +(-0.786989 + 1.36310i) q^{69} +(-0.500000 + 2.83564i) q^{70} +(6.16637 - 5.17420i) q^{71} +(-0.766044 - 0.642788i) q^{72} +(-0.982926 - 5.57445i) q^{73} +(-5.56418 - 2.02520i) q^{74} +1.00000 q^{75} +(2.52094 + 3.55596i) q^{76} -1.53209 q^{77} +(-3.64543 - 1.32683i) q^{78} +(-0.254900 - 1.44561i) q^{79} +(0.766044 + 0.642788i) q^{80} +(0.766044 - 0.642788i) q^{81} +(0.687319 - 3.89798i) q^{82} +(-1.85844 + 3.21891i) q^{83} +(-1.43969 - 2.49362i) q^{84} +(-0.673648 + 0.245188i) q^{85} +(-0.918748 + 0.334397i) q^{86} +(1.55303 + 2.68993i) q^{87} +(-0.266044 + 0.460802i) q^{88} +(-2.68479 + 15.2262i) q^{89} +(-0.766044 + 0.642788i) q^{90} +(-8.55690 - 7.18009i) q^{91} +(0.273318 + 1.55007i) q^{92} +(4.54576 + 1.65452i) q^{93} +7.70233 q^{94} +(3.93969 - 1.86516i) q^{95} -1.00000 q^{96} +(-12.4572 - 4.53406i) q^{97} +(-0.224155 - 1.27125i) q^{98} +(-0.407604 - 0.342020i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 3q^{7} + 3q^{8} - 3q^{11} - 3q^{12} - 3q^{13} - 3q^{14} - 3q^{17} - 6q^{18} + 9q^{19} + 6q^{20} - 6q^{21} - 3q^{22} - 3q^{23} - 6q^{26} - 3q^{27} - 6q^{28} + 15q^{29} + 3q^{30} + 12q^{31} - 6q^{33} - 15q^{34} + 3q^{35} - 18q^{37} - 12q^{39} + 18q^{41} - 3q^{42} + 21q^{43} + 3q^{44} - 3q^{45} - 3q^{46} + 24q^{47} + 12q^{49} + 3q^{50} - 12q^{51} - 3q^{52} + 12q^{53} + 3q^{55} - 6q^{56} - 18q^{57} - 6q^{58} + 27q^{59} - 45q^{61} + 12q^{62} + 3q^{63} - 3q^{64} + 6q^{65} - 3q^{66} - 12q^{67} + 6q^{68} + 3q^{69} - 3q^{70} + 18q^{71} + 15q^{73} - 15q^{74} + 6q^{75} + 12q^{76} - 6q^{78} - 3q^{79} - 18q^{82} - 3q^{83} - 3q^{84} - 3q^{85} - 3q^{86} - 3q^{87} + 3q^{88} - 9q^{89} - 15q^{91} + 15q^{92} - 3q^{93} - 6q^{94} + 18q^{95} - 6q^{96} - 24q^{97} - 3q^{98} - 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{9}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 0.173648 + 0.984808i 0.100256 + 0.568579i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.766044 0.642788i 0.342585 0.287463i
\(6\) −0.173648 + 0.984808i −0.0708916 + 0.402046i
\(7\) −1.43969 + 2.49362i −0.544153 + 0.942500i 0.454507 + 0.890743i \(0.349815\pi\)
−0.998660 + 0.0517569i \(0.983518\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −0.939693 + 0.342020i −0.313231 + 0.114007i
\(10\) 0.939693 0.342020i 0.297157 0.108156i
\(11\) 0.266044 + 0.460802i 0.0802154 + 0.138937i 0.903342 0.428920i \(-0.141106\pi\)
−0.823127 + 0.567857i \(0.807773\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) −0.673648 + 3.82045i −0.186836 + 1.05960i 0.736737 + 0.676180i \(0.236366\pi\)
−0.923573 + 0.383422i \(0.874745\pi\)
\(14\) −2.20574 + 1.85083i −0.589508 + 0.494656i
\(15\) 0.766044 + 0.642788i 0.197792 + 0.165967i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −0.673648 0.245188i −0.163384 0.0594668i 0.259033 0.965868i \(-0.416596\pi\)
−0.422417 + 0.906402i \(0.638818\pi\)
\(18\) −1.00000 −0.235702
\(19\) 4.21688 + 1.10359i 0.967419 + 0.253181i
\(20\) 1.00000 0.223607
\(21\) −2.70574 0.984808i −0.590440 0.214903i
\(22\) 0.0923963 + 0.524005i 0.0196989 + 0.111718i
\(23\) 1.20574 + 1.01173i 0.251414 + 0.210961i 0.759781 0.650179i \(-0.225306\pi\)
−0.508367 + 0.861140i \(0.669751\pi\)
\(24\) −0.766044 + 0.642788i −0.156368 + 0.131208i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) −1.93969 + 3.35965i −0.380405 + 0.658881i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) −2.70574 + 0.984808i −0.511336 + 0.186111i
\(29\) 2.91875 1.06234i 0.541998 0.197271i −0.0564897 0.998403i \(-0.517991\pi\)
0.598488 + 0.801132i \(0.295769\pi\)
\(30\) 0.500000 + 0.866025i 0.0912871 + 0.158114i
\(31\) 2.41875 4.18939i 0.434420 0.752437i −0.562828 0.826574i \(-0.690287\pi\)
0.997248 + 0.0741365i \(0.0236200\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −0.407604 + 0.342020i −0.0709547 + 0.0595381i
\(34\) −0.549163 0.460802i −0.0941807 0.0790270i
\(35\) 0.500000 + 2.83564i 0.0845154 + 0.479311i
\(36\) −0.939693 0.342020i −0.156615 0.0570034i
\(37\) −5.92127 −0.973451 −0.486726 0.873555i \(-0.661809\pi\)
−0.486726 + 0.873555i \(0.661809\pi\)
\(38\) 3.58512 + 2.47929i 0.581584 + 0.402195i
\(39\) −3.87939 −0.621199
\(40\) 0.939693 + 0.342020i 0.148578 + 0.0540781i
\(41\) −0.687319 3.89798i −0.107341 0.608762i −0.990259 0.139235i \(-0.955536\pi\)
0.882918 0.469527i \(-0.155575\pi\)
\(42\) −2.20574 1.85083i −0.340353 0.285590i
\(43\) −0.748970 + 0.628461i −0.114217 + 0.0958394i −0.698107 0.715993i \(-0.745974\pi\)
0.583890 + 0.811832i \(0.301530\pi\)
\(44\) −0.0923963 + 0.524005i −0.0139293 + 0.0789968i
\(45\) −0.500000 + 0.866025i −0.0745356 + 0.129099i
\(46\) 0.786989 + 1.36310i 0.116035 + 0.200979i
\(47\) 7.23783 2.63435i 1.05575 0.384260i 0.244917 0.969544i \(-0.421239\pi\)
0.810828 + 0.585284i \(0.199017\pi\)
\(48\) −0.939693 + 0.342020i −0.135633 + 0.0493664i
\(49\) −0.645430 1.11792i −0.0922042 0.159702i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 0.124485 0.705990i 0.0174314 0.0988584i
\(52\) −2.97178 + 2.49362i −0.412112 + 0.345803i
\(53\) −2.07532 1.74140i −0.285067 0.239200i 0.489029 0.872267i \(-0.337351\pi\)
−0.774097 + 0.633067i \(0.781796\pi\)
\(54\) −0.173648 0.984808i −0.0236305 0.134015i
\(55\) 0.500000 + 0.181985i 0.0674200 + 0.0245389i
\(56\) −2.87939 −0.384774
\(57\) −0.354570 + 4.34445i −0.0469640 + 0.575437i
\(58\) 3.10607 0.407847
\(59\) 7.21688 + 2.62673i 0.939558 + 0.341971i 0.765991 0.642851i \(-0.222249\pi\)
0.173567 + 0.984822i \(0.444471\pi\)
\(60\) 0.173648 + 0.984808i 0.0224179 + 0.127138i
\(61\) −11.1873 9.38728i −1.43239 1.20192i −0.944284 0.329133i \(-0.893244\pi\)
−0.488106 0.872784i \(-0.662312\pi\)
\(62\) 3.70574 3.10948i 0.470629 0.394905i
\(63\) 0.500000 2.83564i 0.0629941 0.357257i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 1.93969 + 3.35965i 0.240589 + 0.416713i
\(66\) −0.500000 + 0.181985i −0.0615457 + 0.0224008i
\(67\) 2.27972 0.829748i 0.278512 0.101370i −0.198988 0.980002i \(-0.563765\pi\)
0.477499 + 0.878632i \(0.341543\pi\)
\(68\) −0.358441 0.620838i −0.0434673 0.0752876i
\(69\) −0.786989 + 1.36310i −0.0947423 + 0.164099i
\(70\) −0.500000 + 2.83564i −0.0597614 + 0.338924i
\(71\) 6.16637 5.17420i 0.731814 0.614065i −0.198812 0.980038i \(-0.563708\pi\)
0.930626 + 0.365973i \(0.119264\pi\)
\(72\) −0.766044 0.642788i −0.0902792 0.0757532i
\(73\) −0.982926 5.57445i −0.115043 0.652440i −0.986729 0.162376i \(-0.948084\pi\)
0.871686 0.490064i \(-0.163027\pi\)
\(74\) −5.56418 2.02520i −0.646823 0.235424i
\(75\) 1.00000 0.115470
\(76\) 2.52094 + 3.55596i 0.289172 + 0.407896i
\(77\) −1.53209 −0.174598
\(78\) −3.64543 1.32683i −0.412764 0.150234i
\(79\) −0.254900 1.44561i −0.0286785 0.162644i 0.967105 0.254377i \(-0.0818704\pi\)
−0.995784 + 0.0917332i \(0.970759\pi\)
\(80\) 0.766044 + 0.642788i 0.0856464 + 0.0718658i
\(81\) 0.766044 0.642788i 0.0851160 0.0714208i
\(82\) 0.687319 3.89798i 0.0759017 0.430460i
\(83\) −1.85844 + 3.21891i −0.203990 + 0.353322i −0.949811 0.312826i \(-0.898724\pi\)
0.745820 + 0.666147i \(0.232058\pi\)
\(84\) −1.43969 2.49362i −0.157083 0.272076i
\(85\) −0.673648 + 0.245188i −0.0730674 + 0.0265944i
\(86\) −0.918748 + 0.334397i −0.0990712 + 0.0360590i
\(87\) 1.55303 + 2.68993i 0.166503 + 0.288391i
\(88\) −0.266044 + 0.460802i −0.0283604 + 0.0491217i
\(89\) −2.68479 + 15.2262i −0.284587 + 1.61398i 0.422168 + 0.906518i \(0.361269\pi\)
−0.706755 + 0.707458i \(0.749842\pi\)
\(90\) −0.766044 + 0.642788i −0.0807482 + 0.0677558i
\(91\) −8.55690 7.18009i −0.897007 0.752678i
\(92\) 0.273318 + 1.55007i 0.0284954 + 0.161606i
\(93\) 4.54576 + 1.65452i 0.471373 + 0.171566i
\(94\) 7.70233 0.794435
\(95\) 3.93969 1.86516i 0.404204 0.191361i
\(96\) −1.00000 −0.102062
\(97\) −12.4572 4.53406i −1.26484 0.460364i −0.379450 0.925212i \(-0.623887\pi\)
−0.885390 + 0.464848i \(0.846109\pi\)
\(98\) −0.224155 1.27125i −0.0226431 0.128415i
\(99\) −0.407604 0.342020i −0.0409657 0.0343743i
\(100\) 0.766044 0.642788i 0.0766044 0.0642788i
\(101\) 2.55690 14.5009i 0.254421 1.44290i −0.543132 0.839647i \(-0.682762\pi\)
0.797553 0.603248i \(-0.206127\pi\)
\(102\) 0.358441 0.620838i 0.0354909 0.0614721i
\(103\) 5.36824 + 9.29807i 0.528948 + 0.916166i 0.999430 + 0.0337559i \(0.0107469\pi\)
−0.470482 + 0.882410i \(0.655920\pi\)
\(104\) −3.64543 + 1.32683i −0.357464 + 0.130106i
\(105\) −2.70574 + 0.984808i −0.264053 + 0.0961074i
\(106\) −1.35457 2.34618i −0.131567 0.227882i
\(107\) 7.85844 13.6112i 0.759704 1.31585i −0.183297 0.983058i \(-0.558677\pi\)
0.943001 0.332789i \(-0.107990\pi\)
\(108\) 0.173648 0.984808i 0.0167093 0.0947632i
\(109\) 10.3871 8.71583i 0.994906 0.834825i 0.00863564 0.999963i \(-0.497251\pi\)
0.986271 + 0.165137i \(0.0528067\pi\)
\(110\) 0.407604 + 0.342020i 0.0388635 + 0.0326103i
\(111\) −1.02822 5.83132i −0.0975942 0.553484i
\(112\) −2.70574 0.984808i −0.255668 0.0930556i
\(113\) 18.6655 1.75590 0.877951 0.478750i \(-0.158910\pi\)
0.877951 + 0.478750i \(0.158910\pi\)
\(114\) −1.81908 + 3.96118i −0.170372 + 0.370999i
\(115\) 1.57398 0.146774
\(116\) 2.91875 + 1.06234i 0.270999 + 0.0986356i
\(117\) −0.673648 3.82045i −0.0622788 0.353201i
\(118\) 5.88326 + 4.93664i 0.541598 + 0.454454i
\(119\) 1.58125 1.32683i 0.144953 0.121630i
\(120\) −0.173648 + 0.984808i −0.0158518 + 0.0899002i
\(121\) 5.35844 9.28109i 0.487131 0.843736i
\(122\) −7.30200 12.6474i −0.661092 1.14505i
\(123\) 3.71941 1.35375i 0.335368 0.122064i
\(124\) 4.54576 1.65452i 0.408221 0.148580i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 1.43969 2.49362i 0.128258 0.222149i
\(127\) −0.819078 + 4.64522i −0.0726814 + 0.412197i 0.926660 + 0.375901i \(0.122667\pi\)
−0.999341 + 0.0362954i \(0.988444\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) −0.748970 0.628461i −0.0659432 0.0553329i
\(130\) 0.673648 + 3.82045i 0.0590829 + 0.335076i
\(131\) 2.22668 + 0.810446i 0.194546 + 0.0708090i 0.437456 0.899240i \(-0.355880\pi\)
−0.242910 + 0.970049i \(0.578102\pi\)
\(132\) −0.532089 −0.0463124
\(133\) −8.82295 + 8.92647i −0.765047 + 0.774023i
\(134\) 2.42602 0.209576
\(135\) −0.939693 0.342020i −0.0808759 0.0294364i
\(136\) −0.124485 0.705990i −0.0106745 0.0605382i
\(137\) −0.956767 0.802823i −0.0817421 0.0685898i 0.601001 0.799248i \(-0.294769\pi\)
−0.682743 + 0.730658i \(0.739213\pi\)
\(138\) −1.20574 + 1.01173i −0.102639 + 0.0861245i
\(139\) 1.52481 8.64766i 0.129333 0.733485i −0.849306 0.527900i \(-0.822979\pi\)
0.978639 0.205584i \(-0.0659094\pi\)
\(140\) −1.43969 + 2.49362i −0.121676 + 0.210749i
\(141\) 3.85117 + 6.67042i 0.324327 + 0.561750i
\(142\) 7.56418 2.75314i 0.634772 0.231038i
\(143\) −1.93969 + 0.705990i −0.162205 + 0.0590379i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 1.55303 2.68993i 0.128972 0.223387i
\(146\) 0.982926 5.57445i 0.0813475 0.461345i
\(147\) 0.988856 0.829748i 0.0815594 0.0684365i
\(148\) −4.53596 3.80612i −0.372854 0.312861i
\(149\) 1.16503 + 6.60721i 0.0954430 + 0.541284i 0.994611 + 0.103680i \(0.0330618\pi\)
−0.899168 + 0.437604i \(0.855827\pi\)
\(150\) 0.939693 + 0.342020i 0.0767256 + 0.0279258i
\(151\) −19.2422 −1.56591 −0.782953 0.622081i \(-0.786287\pi\)
−0.782953 + 0.622081i \(0.786287\pi\)
\(152\) 1.15270 + 4.20372i 0.0934966 + 0.340967i
\(153\) 0.716881 0.0579564
\(154\) −1.43969 0.524005i −0.116014 0.0422255i
\(155\) −0.840022 4.76400i −0.0674722 0.382654i
\(156\) −2.97178 2.49362i −0.237933 0.199649i
\(157\) −10.6152 + 8.90717i −0.847181 + 0.710870i −0.959167 0.282840i \(-0.908723\pi\)
0.111986 + 0.993710i \(0.464279\pi\)
\(158\) 0.254900 1.44561i 0.0202788 0.115007i
\(159\) 1.35457 2.34618i 0.107424 0.186065i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −4.25877 + 1.55007i −0.335638 + 0.122162i
\(162\) 0.939693 0.342020i 0.0738292 0.0268716i
\(163\) 6.81180 + 11.7984i 0.533542 + 0.924121i 0.999232 + 0.0391737i \(0.0124726\pi\)
−0.465691 + 0.884948i \(0.654194\pi\)
\(164\) 1.97906 3.42782i 0.154538 0.267668i
\(165\) −0.0923963 + 0.524005i −0.00719304 + 0.0407938i
\(166\) −2.84730 + 2.38917i −0.220993 + 0.185435i
\(167\) −8.93036 7.49346i −0.691052 0.579861i 0.228160 0.973624i \(-0.426729\pi\)
−0.919212 + 0.393762i \(0.871173\pi\)
\(168\) −0.500000 2.83564i −0.0385758 0.218774i
\(169\) −1.92602 0.701015i −0.148156 0.0539242i
\(170\) −0.716881 −0.0549823
\(171\) −4.34002 + 0.405223i −0.331890 + 0.0309882i
\(172\) −0.977711 −0.0745498
\(173\) 5.67277 + 2.06472i 0.431293 + 0.156978i 0.548539 0.836125i \(-0.315184\pi\)
−0.117246 + 0.993103i \(0.537407\pi\)
\(174\) 0.539363 + 3.05888i 0.0408890 + 0.231893i
\(175\) 2.20574 + 1.85083i 0.166738 + 0.139910i
\(176\) −0.407604 + 0.342020i −0.0307243 + 0.0257807i
\(177\) −1.33363 + 7.56337i −0.100241 + 0.568498i
\(178\) −7.73055 + 13.3897i −0.579429 + 1.00360i
\(179\) −0.610815 1.05796i −0.0456544 0.0790758i 0.842295 0.539017i \(-0.181204\pi\)
−0.887950 + 0.459941i \(0.847871\pi\)
\(180\) −0.939693 + 0.342020i −0.0700406 + 0.0254927i
\(181\) −16.9217 + 6.15901i −1.25778 + 0.457796i −0.883025 0.469327i \(-0.844497\pi\)
−0.374759 + 0.927122i \(0.622274\pi\)
\(182\) −5.58512 9.67372i −0.413997 0.717064i
\(183\) 7.30200 12.6474i 0.539780 0.934926i
\(184\) −0.273318 + 1.55007i −0.0201493 + 0.114272i
\(185\) −4.53596 + 3.80612i −0.333490 + 0.279832i
\(186\) 3.70574 + 3.10948i 0.271718 + 0.227998i
\(187\) −0.0662372 0.375650i −0.00484374 0.0274702i
\(188\) 7.23783 + 2.63435i 0.527873 + 0.192130i
\(189\) 2.87939 0.209444
\(190\) 4.34002 0.405223i 0.314858 0.0293980i
\(191\) −1.69459 −0.122616 −0.0613082 0.998119i \(-0.519527\pi\)
−0.0613082 + 0.998119i \(0.519527\pi\)
\(192\) −0.939693 0.342020i −0.0678165 0.0246832i
\(193\) −0.0482857 0.273842i −0.00347568 0.0197116i 0.983021 0.183495i \(-0.0587412\pi\)
−0.986496 + 0.163784i \(0.947630\pi\)
\(194\) −10.1552 8.52125i −0.729103 0.611790i
\(195\) −2.97178 + 2.49362i −0.212814 + 0.178572i
\(196\) 0.224155 1.27125i 0.0160111 0.0908035i
\(197\) −3.62701 + 6.28217i −0.258414 + 0.447586i −0.965817 0.259224i \(-0.916533\pi\)
0.707403 + 0.706810i \(0.249866\pi\)
\(198\) −0.266044 0.460802i −0.0189070 0.0327478i
\(199\) −1.34002 + 0.487728i −0.0949917 + 0.0345741i −0.389079 0.921204i \(-0.627207\pi\)
0.294087 + 0.955779i \(0.404984\pi\)
\(200\) 0.939693 0.342020i 0.0664463 0.0241845i
\(201\) 1.21301 + 2.10100i 0.0855592 + 0.148193i
\(202\) 7.36231 12.7519i 0.518010 0.897220i
\(203\) −1.55303 + 8.80769i −0.109002 + 0.618179i
\(204\) 0.549163 0.460802i 0.0384491 0.0322626i
\(205\) −3.03209 2.54422i −0.211770 0.177696i
\(206\) 1.86437 + 10.5734i 0.129897 + 0.736682i
\(207\) −1.47906 0.538332i −0.102801 0.0374167i
\(208\) −3.87939 −0.268987
\(209\) 0.613341 + 2.23675i 0.0424257 + 0.154719i
\(210\) −2.87939 −0.198696
\(211\) −4.01114 1.45994i −0.276139 0.100506i 0.200239 0.979747i \(-0.435828\pi\)
−0.476377 + 0.879241i \(0.658050\pi\)
\(212\) −0.470437 2.66798i −0.0323098 0.183238i
\(213\) 6.16637 + 5.17420i 0.422513 + 0.354531i
\(214\) 12.0398 10.1026i 0.823026 0.690601i
\(215\) −0.169778 + 0.962858i −0.0115787 + 0.0656663i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) 6.96451 + 12.0629i 0.472782 + 0.818882i
\(218\) 12.7417 4.63760i 0.862977 0.314098i
\(219\) 5.31908 1.93599i 0.359430 0.130822i
\(220\) 0.266044 + 0.460802i 0.0179367 + 0.0310673i
\(221\) 1.39053 2.40847i 0.0935371 0.162011i
\(222\) 1.02822 5.83132i 0.0690095 0.391372i
\(223\) −4.82816 + 4.05131i −0.323318 + 0.271296i −0.789971 0.613145i \(-0.789904\pi\)
0.466653 + 0.884441i \(0.345460\pi\)
\(224\) −2.20574 1.85083i −0.147377 0.123664i
\(225\) 0.173648 + 0.984808i 0.0115765 + 0.0656539i
\(226\) 17.5398 + 6.38398i 1.16673 + 0.424656i
\(227\) 22.2131 1.47433 0.737167 0.675711i \(-0.236163\pi\)
0.737167 + 0.675711i \(0.236163\pi\)
\(228\) −3.06418 + 3.10013i −0.202930 + 0.205311i
\(229\) −14.5321 −0.960307 −0.480154 0.877184i \(-0.659419\pi\)
−0.480154 + 0.877184i \(0.659419\pi\)
\(230\) 1.47906 + 0.538332i 0.0975260 + 0.0354966i
\(231\) −0.266044 1.50881i −0.0175044 0.0992726i
\(232\) 2.37939 + 1.99654i 0.156214 + 0.131079i
\(233\) −8.73648 + 7.33078i −0.572346 + 0.480255i −0.882423 0.470456i \(-0.844089\pi\)
0.310077 + 0.950711i \(0.399645\pi\)
\(234\) 0.673648 3.82045i 0.0440378 0.249751i
\(235\) 3.85117 6.67042i 0.251222 0.435130i
\(236\) 3.84002 + 6.65111i 0.249964 + 0.432951i
\(237\) 1.37939 0.502055i 0.0896007 0.0326120i
\(238\) 1.93969 0.705990i 0.125732 0.0457626i
\(239\) −5.79473 10.0368i −0.374830 0.649224i 0.615472 0.788159i \(-0.288966\pi\)
−0.990302 + 0.138935i \(0.955632\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) −2.64749 + 15.0147i −0.170540 + 0.967179i 0.772627 + 0.634860i \(0.218942\pi\)
−0.943167 + 0.332319i \(0.892169\pi\)
\(242\) 8.20961 6.88868i 0.527734 0.442821i
\(243\) 0.766044 + 0.642788i 0.0491418 + 0.0412348i
\(244\) −2.53596 14.3821i −0.162348 0.920722i
\(245\) −1.21301 0.441500i −0.0774964 0.0282064i
\(246\) 3.95811 0.252360
\(247\) −7.05690 + 15.3669i −0.449020 + 0.977775i
\(248\) 4.83750 0.307181
\(249\) −3.49273 1.27125i −0.221343 0.0805621i
\(250\) −0.173648 0.984808i −0.0109825 0.0622847i
\(251\) −9.07991 7.61895i −0.573119 0.480904i 0.309560 0.950880i \(-0.399818\pi\)
−0.882679 + 0.469976i \(0.844263\pi\)
\(252\) 2.20574 1.85083i 0.138948 0.116592i
\(253\) −0.145430 + 0.824773i −0.00914309 + 0.0518530i
\(254\) −2.35844 + 4.08494i −0.147982 + 0.256312i
\(255\) −0.358441 0.620838i −0.0224464 0.0388784i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 0.280592 0.102127i 0.0175029 0.00637052i −0.333254 0.942837i \(-0.608147\pi\)
0.350757 + 0.936467i \(0.385924\pi\)
\(258\) −0.488856 0.846723i −0.0304348 0.0527147i
\(259\) 8.52481 14.7654i 0.529706 0.917478i
\(260\) −0.673648 + 3.82045i −0.0417779 + 0.236934i
\(261\) −2.37939 + 1.99654i −0.147280 + 0.123583i
\(262\) 1.81521 + 1.52314i 0.112144 + 0.0940999i
\(263\) 3.28746 + 18.6441i 0.202713 + 1.14964i 0.900998 + 0.433824i \(0.142836\pi\)
−0.698285 + 0.715820i \(0.746053\pi\)
\(264\) −0.500000 0.181985i −0.0307729 0.0112004i
\(265\) −2.70914 −0.166421
\(266\) −11.3439 + 5.37051i −0.695539 + 0.329287i
\(267\) −15.4611 −0.946204
\(268\) 2.27972 + 0.829748i 0.139256 + 0.0506850i
\(269\) 5.02141 + 28.4778i 0.306161 + 1.73632i 0.617990 + 0.786186i \(0.287947\pi\)
−0.311829 + 0.950138i \(0.600942\pi\)
\(270\) −0.766044 0.642788i −0.0466200 0.0391188i
\(271\) 2.36050 1.98069i 0.143390 0.120319i −0.568271 0.822841i \(-0.692388\pi\)
0.711661 + 0.702523i \(0.247943\pi\)
\(272\) 0.124485 0.705990i 0.00754802 0.0428070i
\(273\) 5.58512 9.67372i 0.338027 0.585480i
\(274\) −0.624485 1.08164i −0.0377265 0.0653443i
\(275\) 0.500000 0.181985i 0.0301511 0.0109741i
\(276\) −1.47906 + 0.538332i −0.0890287 + 0.0324038i
\(277\) 2.17499 + 3.76720i 0.130683 + 0.226349i 0.923940 0.382538i \(-0.124950\pi\)
−0.793257 + 0.608887i \(0.791616\pi\)
\(278\) 4.39053 7.60462i 0.263326 0.456095i
\(279\) −0.840022 + 4.76400i −0.0502908 + 0.285213i
\(280\) −2.20574 + 1.85083i −0.131818 + 0.110608i
\(281\) −15.6480 13.1302i −0.933479 0.783282i 0.0429599 0.999077i \(-0.486321\pi\)
−0.976439 + 0.215795i \(0.930766\pi\)
\(282\) 1.33750 + 7.58532i 0.0796467 + 0.451699i
\(283\) 15.2626 + 5.55515i 0.907270 + 0.330219i 0.753162 0.657835i \(-0.228528\pi\)
0.154108 + 0.988054i \(0.450750\pi\)
\(284\) 8.04963 0.477658
\(285\) 2.52094 + 3.55596i 0.149328 + 0.210637i
\(286\) −2.06418 −0.122057
\(287\) 10.7096 + 3.89798i 0.632168 + 0.230090i
\(288\) −0.173648 0.984808i −0.0102323 0.0580304i
\(289\) −12.6291 10.5970i −0.742887 0.623356i
\(290\) 2.37939 1.99654i 0.139722 0.117241i
\(291\) 2.30200 13.0553i 0.134946 0.765316i
\(292\) 2.83022 4.90209i 0.165626 0.286873i
\(293\) 1.70961 + 2.96113i 0.0998763 + 0.172991i 0.911633 0.411004i \(-0.134822\pi\)
−0.811757 + 0.583995i \(0.801489\pi\)
\(294\) 1.21301 0.441500i 0.0707442 0.0257488i
\(295\) 7.21688 2.62673i 0.420183 0.152934i
\(296\) −2.96064 5.12797i −0.172084 0.298057i
\(297\) 0.266044 0.460802i 0.0154375 0.0267385i
\(298\) −1.16503 + 6.60721i −0.0674884 + 0.382746i
\(299\) −4.67752 + 3.92490i −0.270508 + 0.226983i
\(300\) 0.766044 + 0.642788i 0.0442276 + 0.0371114i
\(301\) −0.488856 2.77244i −0.0281772 0.159801i
\(302\) −18.0817 6.58121i −1.04049 0.378706i
\(303\) 14.7246 0.845907
\(304\) −0.354570 + 4.34445i −0.0203360 + 0.249172i
\(305\) −14.6040 −0.836223
\(306\) 0.673648 + 0.245188i 0.0385099 + 0.0140165i
\(307\) 3.42943 + 19.4492i 0.195728 + 1.11003i 0.911379 + 0.411569i \(0.135019\pi\)
−0.715651 + 0.698458i \(0.753870\pi\)
\(308\) −1.17365 0.984808i −0.0668748 0.0561146i
\(309\) −8.22462 + 6.90128i −0.467882 + 0.392600i
\(310\) 0.840022 4.76400i 0.0477101 0.270577i
\(311\) −2.53074 + 4.38338i −0.143505 + 0.248559i −0.928814 0.370545i \(-0.879171\pi\)
0.785309 + 0.619104i \(0.212504\pi\)
\(312\) −1.93969 3.35965i −0.109813 0.190203i
\(313\) −17.6065 + 6.40825i −0.995180 + 0.362216i −0.787724 0.616028i \(-0.788741\pi\)
−0.207456 + 0.978244i \(0.566518\pi\)
\(314\) −13.0214 + 4.73941i −0.734841 + 0.267460i
\(315\) −1.43969 2.49362i −0.0811175 0.140500i
\(316\) 0.733956 1.27125i 0.0412882 0.0715133i
\(317\) 0.0243481 0.138085i 0.00136753 0.00775562i −0.984116 0.177525i \(-0.943191\pi\)
0.985484 + 0.169769i \(0.0543022\pi\)
\(318\) 2.07532 1.74140i 0.116378 0.0976530i
\(319\) 1.26604 + 1.06234i 0.0708849 + 0.0594795i
\(320\) 0.173648 + 0.984808i 0.00970723 + 0.0550524i
\(321\) 14.7690 + 5.37549i 0.824327 + 0.300031i
\(322\) −4.53209 −0.252563
\(323\) −2.57011 1.77736i −0.143005 0.0988949i
\(324\) 1.00000 0.0555556
\(325\) 3.64543 + 1.32683i 0.202212 + 0.0735992i
\(326\) 2.36571 + 13.4166i 0.131025 + 0.743079i
\(327\) 10.3871 + 8.71583i 0.574409 + 0.481987i
\(328\) 3.03209 2.54422i 0.167419 0.140481i
\(329\) −3.85117 + 21.8411i −0.212322 + 1.20414i
\(330\) −0.266044 + 0.460802i −0.0146453 + 0.0253663i
\(331\) 8.64930 + 14.9810i 0.475409 + 0.823432i 0.999603 0.0281667i \(-0.00896693\pi\)
−0.524195 + 0.851598i \(0.675634\pi\)
\(332\) −3.49273 + 1.27125i −0.191688 + 0.0697688i
\(333\) 5.56418 2.02520i 0.304915 0.110980i
\(334\) −5.82888 10.0959i −0.318942 0.552424i
\(335\) 1.21301 2.10100i 0.0662739 0.114790i
\(336\) 0.500000 2.83564i 0.0272772 0.154697i
\(337\) 26.0128 21.8273i 1.41701 1.18901i 0.464087 0.885790i \(-0.346383\pi\)
0.952920 0.303220i \(-0.0980618\pi\)
\(338\) −1.57011 1.31748i −0.0854026 0.0716613i
\(339\) 3.24123 + 18.3819i 0.176039 + 0.998369i
\(340\) −0.673648 0.245188i −0.0365337 0.0132972i
\(341\) 2.57398 0.139389
\(342\) −4.21688 1.10359i −0.228023 0.0596753i
\(343\) −16.4388 −0.887613
\(344\) −0.918748 0.334397i −0.0495356 0.0180295i
\(345\) 0.273318 + 1.55007i 0.0147150 + 0.0834527i
\(346\) 4.62449 + 3.88040i 0.248614 + 0.208612i
\(347\) −10.2005 + 8.55925i −0.547593 + 0.459485i −0.874125 0.485701i \(-0.838564\pi\)
0.326532 + 0.945186i \(0.394120\pi\)
\(348\) −0.539363 + 3.05888i −0.0289129 + 0.163973i
\(349\) −2.63563 + 4.56504i −0.141082 + 0.244361i −0.927904 0.372818i \(-0.878391\pi\)
0.786822 + 0.617180i \(0.211725\pi\)
\(350\) 1.43969 + 2.49362i 0.0769548 + 0.133290i
\(351\) 3.64543 1.32683i 0.194579 0.0708208i
\(352\) −0.500000 + 0.181985i −0.0266501 + 0.00969984i
\(353\) −16.9290 29.3219i −0.901041 1.56065i −0.826146 0.563457i \(-0.809471\pi\)
−0.0748949 0.997191i \(-0.523862\pi\)
\(354\) −3.84002 + 6.65111i −0.204095 + 0.353503i
\(355\) 1.39780 7.92734i 0.0741877 0.420739i
\(356\) −11.8439 + 9.93821i −0.627725 + 0.526724i
\(357\) 1.58125 + 1.32683i 0.0836887 + 0.0702232i
\(358\) −0.212134 1.20307i −0.0112116 0.0635842i
\(359\) −29.6339 10.7858i −1.56402 0.569255i −0.592364 0.805670i \(-0.701805\pi\)
−0.971652 + 0.236415i \(0.924027\pi\)
\(360\) −1.00000 −0.0527046
\(361\) 16.5642 + 9.30742i 0.871799 + 0.489864i
\(362\) −18.0077 −0.946466
\(363\) 10.0706 + 3.66539i 0.528568 + 0.192383i
\(364\) −1.93969 11.0005i −0.101668 0.576585i
\(365\) −4.33615 3.63846i −0.226965 0.190446i
\(366\) 11.1873 9.38728i 0.584771 0.490681i
\(367\) −1.90255 + 10.7899i −0.0993124 + 0.563228i 0.894028 + 0.448011i \(0.147868\pi\)
−0.993340 + 0.115217i \(0.963244\pi\)
\(368\) −0.786989 + 1.36310i −0.0410246 + 0.0710568i
\(369\) 1.97906 + 3.42782i 0.103026 + 0.178445i
\(370\) −5.56418 + 2.02520i −0.289268 + 0.105285i
\(371\) 7.33022 2.66798i 0.380566 0.138515i
\(372\) 2.41875 + 4.18939i 0.125406 + 0.217210i
\(373\) 2.06893 3.58348i 0.107125 0.185546i −0.807479 0.589896i \(-0.799169\pi\)
0.914604 + 0.404350i \(0.132502\pi\)
\(374\) 0.0662372 0.375650i 0.00342504 0.0194244i
\(375\) 0.766044 0.642788i 0.0395584 0.0331934i
\(376\) 5.90033 + 4.95096i 0.304286 + 0.255327i
\(377\) 2.09240 + 11.8666i 0.107764 + 0.611159i
\(378\) 2.70574 + 0.984808i 0.139168 + 0.0506530i
\(379\) 33.8631 1.73943 0.869715 0.493555i \(-0.164303\pi\)
0.869715 + 0.493555i \(0.164303\pi\)
\(380\) 4.21688 + 1.10359i 0.216321 + 0.0566130i
\(381\) −4.71688 −0.241653
\(382\) −1.59240 0.579585i −0.0814741 0.0296541i
\(383\) 3.36366 + 19.0762i 0.171875 + 0.974750i 0.941690 + 0.336483i \(0.109237\pi\)
−0.769815 + 0.638267i \(0.779651\pi\)
\(384\) −0.766044 0.642788i −0.0390920 0.0328021i
\(385\) −1.17365 + 0.984808i −0.0598146 + 0.0501905i
\(386\) 0.0482857 0.273842i 0.00245768 0.0139382i
\(387\) 0.488856 0.846723i 0.0248499 0.0430413i
\(388\) −6.62836 11.4806i −0.336504 0.582842i
\(389\) −25.1570 + 9.15641i −1.27551 + 0.464249i −0.888946 0.458013i \(-0.848561\pi\)
−0.386567 + 0.922261i \(0.626339\pi\)
\(390\) −3.64543 + 1.32683i −0.184594 + 0.0671865i
\(391\) −0.564178 0.977185i −0.0285317 0.0494183i
\(392\) 0.645430 1.11792i 0.0325991 0.0564633i
\(393\) −0.411474 + 2.33359i −0.0207561 + 0.117714i
\(394\) −5.55690 + 4.66280i −0.279953 + 0.234908i
\(395\) −1.12449 0.943555i −0.0565790 0.0474754i
\(396\) −0.0923963 0.524005i −0.00464309 0.0263323i
\(397\) −2.04664 0.744915i −0.102718 0.0373862i 0.290150 0.956981i \(-0.406295\pi\)
−0.392868 + 0.919595i \(0.628517\pi\)
\(398\) −1.42602 −0.0714800
\(399\) −10.3229 7.13884i −0.516794 0.357389i
\(400\) 1.00000 0.0500000
\(401\) 8.61721 + 3.13641i 0.430323 + 0.156625i 0.548095 0.836416i \(-0.315353\pi\)
−0.117772 + 0.993041i \(0.537575\pi\)
\(402\) 0.421274 + 2.38917i 0.0210113 + 0.119161i
\(403\) 14.3760 + 12.0629i 0.716119 + 0.600895i
\(404\) 11.2797 9.46480i 0.561187 0.470892i
\(405\) 0.173648 0.984808i 0.00862865 0.0489355i
\(406\) −4.47178 + 7.74535i −0.221931 + 0.384395i
\(407\) −1.57532 2.72854i −0.0780858 0.135249i
\(408\) 0.673648 0.245188i 0.0333506 0.0121386i
\(409\) 17.9402 6.52968i 0.887084 0.322872i 0.142019 0.989864i \(-0.454641\pi\)
0.745065 + 0.666992i \(0.232418\pi\)
\(410\) −1.97906 3.42782i −0.0977386 0.169288i
\(411\) 0.624485 1.08164i 0.0308036 0.0533534i
\(412\) −1.86437 + 10.5734i −0.0918509 + 0.520913i
\(413\) −16.9402 + 14.2145i −0.833571 + 0.699449i
\(414\) −1.20574 1.01173i −0.0592587 0.0497240i
\(415\) 0.645430 + 3.66041i 0.0316829 + 0.179683i
\(416\) −3.64543 1.32683i −0.178732 0.0650531i
\(417\) 8.78106 0.430010
\(418\) −0.188663 + 2.31164i −0.00922781 + 0.113066i
\(419\) −16.1557 −0.789257 −0.394629 0.918841i \(-0.629127\pi\)
−0.394629 + 0.918841i \(0.629127\pi\)
\(420\) −2.70574 0.984808i −0.132026 0.0480537i
\(421\) 2.77941 + 15.7628i 0.135460 + 0.768233i 0.974538 + 0.224222i \(0.0719840\pi\)
−0.839078 + 0.544011i \(0.816905\pi\)
\(422\) −3.26991 2.74378i −0.159177 0.133565i
\(423\) −5.90033 + 4.95096i −0.286884 + 0.240724i
\(424\) 0.470437 2.66798i 0.0228465 0.129569i
\(425\) −0.358441 + 0.620838i −0.0173869 + 0.0301150i
\(426\) 4.02481 + 6.97118i 0.195003 + 0.337755i
\(427\) 39.5146 14.3821i 1.91225 0.696001i
\(428\) 14.7690 5.37549i 0.713888 0.259834i
\(429\) −1.03209 1.78763i −0.0498297 0.0863076i
\(430\) −0.488856 + 0.846723i −0.0235747 + 0.0408326i
\(431\) 4.28817 24.3194i 0.206554 1.17143i −0.688422 0.725311i \(-0.741696\pi\)
0.894976 0.446115i \(-0.147193\pi\)
\(432\) 0.766044 0.642788i 0.0368563 0.0309261i
\(433\) −29.8350 25.0346i −1.43378 1.20308i −0.943436 0.331555i \(-0.892427\pi\)
−0.490344 0.871529i \(-0.663129\pi\)
\(434\) 2.41875 + 13.7174i 0.116104 + 0.658456i
\(435\) 2.91875 + 1.06234i 0.139943 + 0.0509352i
\(436\) 13.5594 0.649379
\(437\) 3.96791 + 5.59700i 0.189811 + 0.267741i
\(438\) 5.66044 0.270466
\(439\) −8.37433 3.04801i −0.399685 0.145473i 0.134354 0.990933i \(-0.457104\pi\)
−0.534039 + 0.845460i \(0.679326\pi\)
\(440\) 0.0923963 + 0.524005i 0.00440482 + 0.0249810i
\(441\) 0.988856 + 0.829748i 0.0470884 + 0.0395118i
\(442\) 2.13041 1.78763i 0.101334 0.0850289i
\(443\) 3.12495 17.7225i 0.148471 0.842021i −0.816043 0.577990i \(-0.803837\pi\)
0.964514 0.264030i \(-0.0850518\pi\)
\(444\) 2.96064 5.12797i 0.140506 0.243363i
\(445\) 7.73055 + 13.3897i 0.366463 + 0.634733i
\(446\) −5.92262 + 2.15566i −0.280444 + 0.102073i
\(447\) −6.30453 + 2.29466i −0.298194 + 0.108534i
\(448\) −1.43969 2.49362i −0.0680191 0.117813i
\(449\) −2.33662 + 4.04714i −0.110272 + 0.190996i −0.915880 0.401452i \(-0.868505\pi\)
0.805608 + 0.592449i \(0.201839\pi\)
\(450\) −0.173648 + 0.984808i −0.00818585 + 0.0464243i
\(451\) 1.61334 1.35375i 0.0759693 0.0637458i
\(452\) 14.2986 + 11.9980i 0.672550 + 0.564336i
\(453\) −3.34137 18.9498i −0.156991 0.890341i
\(454\) 20.8735 + 7.59732i 0.979640 + 0.356560i
\(455\) −11.1702 −0.523669
\(456\) −3.93969 + 1.86516i −0.184493 + 0.0873441i
\(457\) −7.20708 −0.337133 −0.168567 0.985690i \(-0.553914\pi\)
−0.168567 + 0.985690i \(0.553914\pi\)
\(458\) −13.6557 4.97027i −0.638089 0.232245i
\(459\) 0.124485 + 0.705990i 0.00581047 + 0.0329528i
\(460\) 1.20574 + 1.01173i 0.0562178 + 0.0471723i
\(461\) 26.1616 21.9522i 1.21847 1.02242i 0.219565 0.975598i \(-0.429536\pi\)
0.998903 0.0468185i \(-0.0149083\pi\)
\(462\) 0.266044 1.50881i 0.0123775 0.0701963i
\(463\) 3.25965 5.64588i 0.151489 0.262386i −0.780286 0.625423i \(-0.784927\pi\)
0.931775 + 0.363036i \(0.118260\pi\)
\(464\) 1.55303 + 2.68993i 0.0720978 + 0.124877i
\(465\) 4.54576 1.65452i 0.210805 0.0767266i
\(466\) −10.7169 + 3.90063i −0.496450 + 0.180693i
\(467\) −4.09240 7.08824i −0.189374 0.328005i 0.755668 0.654955i \(-0.227312\pi\)
−0.945042 + 0.326950i \(0.893979\pi\)
\(468\) 1.93969 3.35965i 0.0896623 0.155300i
\(469\) −1.21301 + 6.87933i −0.0560116 + 0.317658i
\(470\) 5.90033 4.95096i 0.272162 0.228371i
\(471\) −10.6152 8.90717i −0.489120 0.410421i
\(472\) 1.33363 + 7.56337i 0.0613851 + 0.348132i
\(473\) −0.488856 0.177929i −0.0224776 0.00818118i
\(474\) 1.46791 0.0674234
\(475\) 1.81908 3.96118i 0.0834650 0.181751i
\(476\) 2.06418 0.0946114
\(477\) 2.54576 + 0.926581i 0.116562 + 0.0424252i
\(478\) −2.01249 11.4134i −0.0920491 0.522036i
\(479\) −18.5141 15.5352i −0.845933 0.709822i 0.112957 0.993600i \(-0.463968\pi\)
−0.958890 + 0.283778i \(0.908412\pi\)
\(480\) −0.766044 + 0.642788i −0.0349650 + 0.0293391i
\(481\) 3.98886 22.6219i 0.181876 1.03147i
\(482\) −7.62314 + 13.2037i −0.347225 + 0.601411i
\(483\) −2.26604 3.92490i −0.103109 0.178589i
\(484\) 10.0706 3.66539i 0.457753 0.166609i
\(485\) −12.4572 + 4.53406i −0.565654 + 0.205881i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) 10.9500 18.9659i 0.496190 0.859426i −0.503800 0.863820i \(-0.668065\pi\)
0.999990 + 0.00439380i \(0.00139859\pi\)
\(488\) 2.53596 14.3821i 0.114797 0.651049i
\(489\) −10.4363 + 8.75709i −0.471945 + 0.396009i
\(490\) −0.988856 0.829748i −0.0446719 0.0374842i
\(491\) 2.35875 + 13.3771i 0.106449 + 0.603701i 0.990632 + 0.136560i \(0.0436047\pi\)
−0.884183 + 0.467140i \(0.845284\pi\)
\(492\) 3.71941 + 1.35375i 0.167684 + 0.0610319i
\(493\) −2.22668 −0.100285
\(494\) −11.8871 + 12.0266i −0.534827 + 0.541102i
\(495\) −0.532089 −0.0239156
\(496\) 4.54576 + 1.65452i 0.204111 + 0.0742902i
\(497\) 4.02481 + 22.8259i 0.180538 + 1.02388i
\(498\) −2.84730 2.38917i −0.127590 0.107061i
\(499\) 30.0069 25.1787i 1.34329 1.12716i 0.362525 0.931974i \(-0.381915\pi\)
0.980767 0.195181i \(-0.0625295\pi\)
\(500\) 0.173648 0.984808i 0.00776578 0.0440419i
\(501\) 5.82888 10.0959i 0.260415 0.451052i
\(502\) −5.92649 10.2650i −0.264512 0.458148i
\(503\) −28.0035 + 10.1924i −1.24861 + 0.454458i −0.879933 0.475099i \(-0.842412\pi\)
−0.368680 + 0.929556i \(0.620190\pi\)
\(504\) 2.70574 0.984808i 0.120523 0.0438668i
\(505\) −7.36231 12.7519i −0.327619 0.567452i
\(506\) −0.418748 + 0.725293i −0.0186156 + 0.0322432i
\(507\) 0.355914 2.01849i 0.0158067 0.0896443i
\(508\) −3.61334 + 3.03195i −0.160316 + 0.134521i
\(509\) −10.0419 8.42615i −0.445099 0.373482i 0.392514 0.919746i \(-0.371605\pi\)
−0.837613 + 0.546263i \(0.816050\pi\)
\(510\) −0.124485 0.705990i −0.00551230 0.0312618i
\(511\) 15.3157 + 5.57445i 0.677526 + 0.246599i
\(512\) −1.00000 −0.0441942
\(513\) −1.15270 4.20372i −0.0508931 0.185599i
\(514\) 0.298600 0.0131707
\(515\) 10.0890 + 3.67209i 0.444574 + 0.161812i
\(516\) −0.169778 0.962858i −0.00747405 0.0423874i
\(517\) 3.13950 + 2.63435i 0.138075 + 0.115859i
\(518\) 13.0608 10.9593i 0.573857 0.481524i
\(519\) −1.04829 + 5.94512i −0.0460146 + 0.260962i
\(520\) −1.93969 + 3.35965i −0.0850611 + 0.147330i
\(521\) 13.7959 + 23.8952i 0.604410 + 1.04687i 0.992144 + 0.125098i \(0.0399244\pi\)
−0.387735 + 0.921771i \(0.626742\pi\)
\(522\) −2.91875 + 1.06234i −0.127750 + 0.0464972i
\(523\) −4.51114 + 1.64192i −0.197259 + 0.0717962i −0.438760 0.898604i \(-0.644582\pi\)
0.241502 + 0.970400i \(0.422360\pi\)
\(524\) 1.18479 + 2.05212i 0.0517579 + 0.0896473i
\(525\) −1.43969 + 2.49362i −0.0628333 + 0.108831i
\(526\) −3.28746 + 18.6441i −0.143340 + 0.812921i
\(527\) −2.65657 + 2.22913i −0.115722 + 0.0971024i
\(528\) −0.407604 0.342020i −0.0177387 0.0148845i
\(529\) −3.56371 20.2108i −0.154944 0.878731i
\(530\) −2.54576 0.926581i −0.110581 0.0402481i
\(531\) −7.68004 −0.333286
\(532\) −12.4966 + 1.16679i −0.541796 + 0.0505869i
\(533\) 15.3550 0.665100
\(534\) −14.5287 5.28801i −0.628718 0.228835i
\(535\) −2.72921 15.4781i −0.117994 0.669177i
\(536\) 1.85844 + 1.55942i 0.0802724 + 0.0673566i
\(537\) 0.935822 0.785248i 0.0403837 0.0338860i
\(538\) −5.02141 + 28.4778i −0.216488 + 1.22777i
\(539\) 0.343426 0.594831i 0.0147924 0.0256212i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) −39.7340 + 14.4620i −1.70830 + 0.621770i −0.996727 0.0808436i \(-0.974239\pi\)
−0.711572 + 0.702613i \(0.752016\pi\)
\(542\) 2.89558 1.05391i 0.124376 0.0452691i
\(543\) −9.00387 15.5952i −0.386393 0.669252i
\(544\) 0.358441 0.620838i 0.0153680 0.0266182i
\(545\) 2.35457 13.3534i 0.100859 0.571998i
\(546\) 8.55690 7.18009i 0.366202 0.307280i
\(547\) −25.3855 21.3010i −1.08541 0.910765i −0.0890485 0.996027i \(-0.528383\pi\)
−0.996359 + 0.0852626i \(0.972827\pi\)
\(548\) −0.216881 1.23000i −0.00926471 0.0525428i
\(549\) 13.7233 + 4.99486i 0.585695 + 0.213176i
\(550\) 0.532089 0.0226883
\(551\) 13.4804 1.25865i 0.574284 0.0536203i
\(552\) −1.57398 −0.0669930
\(553\) 3.97178 + 1.44561i 0.168897 + 0.0614736i
\(554\) 0.755367 + 4.28390i 0.0320925 + 0.182005i
\(555\) −4.53596 3.80612i −0.192541 0.161561i
\(556\) 6.72668 5.64436i 0.285275 0.239374i
\(557\) 2.40673 13.6492i 0.101976 0.578336i −0.890409 0.455162i \(-0.849581\pi\)
0.992385 0.123174i \(-0.0393075\pi\)
\(558\) −2.41875 + 4.18939i −0.102394 + 0.177351i
\(559\) −1.89646 3.28476i −0.0802117 0.138931i
\(560\) −2.70574 + 0.984808i −0.114338 + 0.0416157i
\(561\) 0.358441 0.130462i 0.0151334 0.00550810i
\(562\) −10.2135 17.6903i −0.430830 0.746219i
\(563\) 12.9003 22.3440i 0.543684 0.941688i −0.455004 0.890489i \(-0.650362\pi\)
0.998688 0.0511992i \(-0.0163044\pi\)
\(564\) −1.33750 + 7.58532i −0.0563187 + 0.319399i
\(565\) 14.2986 11.9980i 0.601547 0.504758i
\(566\) 12.4422 + 10.4403i 0.522985 + 0.438837i
\(567\) 0.500000 + 2.83564i 0.0209980 + 0.119086i
\(568\) 7.56418 + 2.75314i 0.317386 + 0.115519i
\(569\) 10.8553 0.455080 0.227540 0.973769i \(-0.426932\pi\)
0.227540 + 0.973769i \(0.426932\pi\)
\(570\) 1.15270 + 4.20372i 0.0482814 + 0.176075i
\(571\) 20.1239 0.842160 0.421080 0.907024i \(-0.361651\pi\)
0.421080 + 0.907024i \(0.361651\pi\)
\(572\) −1.93969 0.705990i −0.0811026 0.0295189i
\(573\) −0.294263 1.66885i −0.0122930 0.0697171i
\(574\) 8.73055 + 7.32580i 0.364406 + 0.305773i
\(575\) 1.20574 1.01173i 0.0502827 0.0421922i
\(576\) 0.173648 0.984808i 0.00723534 0.0410337i
\(577\) −6.70486 + 11.6132i −0.279127 + 0.483462i −0.971168 0.238396i \(-0.923378\pi\)
0.692041 + 0.721858i \(0.256712\pi\)
\(578\) −8.24304 14.2774i −0.342865 0.593860i
\(579\) 0.261297 0.0951042i 0.0108591 0.00395240i
\(580\) 2.91875 1.06234i 0.121194 0.0441112i
\(581\) −5.35117 9.26849i −0.222004 0.384522i
\(582\) 6.62836 11.4806i 0.274754 0.475888i
\(583\) 0.250314 1.41960i 0.0103670 0.0587940i
\(584\) 4.33615 3.63846i 0.179431 0.150561i
\(585\) −2.97178 2.49362i −0.122868 0.103099i
\(586\) 0.593740 + 3.36727i 0.0245272 + 0.139101i
\(587\) −23.3427 8.49605i −0.963457 0.350670i −0.188070 0.982156i \(-0.560223\pi\)
−0.775387 + 0.631486i \(0.782445\pi\)
\(588\) 1.29086 0.0532341
\(589\) 14.8229 14.9969i 0.610769 0.617935i
\(590\) 7.68004 0.316182
\(591\) −6.81655 2.48102i −0.280395 0.102056i
\(592\) −1.02822 5.83132i −0.0422595 0.239666i
\(593\) −35.1321 29.4793i −1.44270 1.21057i −0.937698 0.347452i \(-0.887047\pi\)
−0.505003 0.863117i \(-0.668509\pi\)
\(594\) 0.407604 0.342020i 0.0167242 0.0140333i
\(595\) 0.358441 2.03282i 0.0146946 0.0833374i
\(596\) −3.35457 + 5.81029i −0.137409 + 0.237999i
\(597\) −0.713011 1.23497i −0.0291816 0.0505440i
\(598\) −5.73783 + 2.08840i −0.234637 + 0.0854009i
\(599\) 45.7435 16.6493i 1.86903 0.680271i 0.898659 0.438649i \(-0.144543\pi\)
0.970370 0.241622i \(-0.0776795\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) 18.3981 31.8665i 0.750474 1.29986i −0.197118 0.980380i \(-0.563158\pi\)
0.947593 0.319480i \(-0.103508\pi\)
\(602\) 0.488856 2.77244i 0.0199243 0.112996i
\(603\) −1.85844 + 1.55942i −0.0756816 + 0.0635044i
\(604\) −14.7404 12.3686i −0.599776 0.503272i
\(605\) −1.86097 10.5541i −0.0756591 0.429084i
\(606\) 13.8366 + 5.03612i 0.562074 + 0.204578i
\(607\) −28.8881 −1.17253 −0.586265 0.810119i \(-0.699402\pi\)
−0.586265 + 0.810119i \(0.699402\pi\)
\(608\) −1.81908 + 3.96118i −0.0737733 + 0.160647i
\(609\) −8.94356 −0.362411
\(610\) −13.7233 4.99486i −0.555639 0.202236i
\(611\) 5.18866 + 29.4264i 0.209911 + 1.19046i
\(612\) 0.549163 + 0.460802i 0.0221986 + 0.0186268i
\(613\) 26.5612 22.2875i 1.07280 0.900185i 0.0774953 0.996993i \(-0.475308\pi\)
0.995303 + 0.0968080i \(0.0308633\pi\)
\(614\) −3.42943 + 19.4492i −0.138400 + 0.784907i
\(615\) 1.97906 3.42782i 0.0798032 0.138223i
\(616\) −0.766044 1.32683i −0.0308648 0.0534594i
\(617\) 32.7952 11.9365i 1.32028 0.480544i 0.416735 0.909028i \(-0.363174\pi\)
0.903550 + 0.428483i \(0.140952\pi\)
\(618\) −10.0890 + 3.67209i −0.405839 + 0.147713i
\(619\) 16.7935 + 29.0873i 0.674990 + 1.16912i 0.976472 + 0.215645i \(0.0691853\pi\)
−0.301482 + 0.953472i \(0.597481\pi\)
\(620\) 2.41875 4.18939i 0.0971393 0.168250i
\(621\) 0.273318 1.55007i 0.0109679 0.0622020i
\(622\) −3.87733 + 3.25346i −0.155467 + 0.130452i
\(623\) −34.1031 28.6159i −1.36631 1.14647i
\(624\) −0.673648 3.82045i −0.0269675 0.152940i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) −18.7365 −0.748860
\(627\) −2.09627 + 0.992431i −0.0837168 + 0.0396339i
\(628\) −13.8571 −0.552958
\(629\) 3.98886 + 1.45182i 0.159046 + 0.0578880i
\(630\) −0.500000 2.83564i −0.0199205 0.112975i
\(631\) −8.84595 7.42264i −0.352152 0.295490i 0.449502 0.893280i \(-0.351602\pi\)
−0.801653 + 0.597789i \(0.796046\pi\)
\(632\) 1.12449 0.943555i 0.0447296 0.0375326i
\(633\) 0.741230 4.20372i 0.0294612 0.167083i
\(634\) 0.0701076 0.121430i 0.00278433 0.00482260i
\(635\) 2.35844 + 4.08494i 0.0935919 + 0.162106i
\(636\) 2.54576 0.926581i 0.100946 0.0367413i
\(637\) 4.70574 1.71275i 0.186448 0.0678616i
\(638\) 0.826352 + 1.43128i 0.0327156 + 0.0566651i
\(639\) −4.02481 + 6.97118i −0.159219 + 0.275776i
\(640\) −0.173648 + 0.984808i −0.00686405 + 0.0389279i
\(641\) 34.8594 29.2505i 1.37686 1.15532i 0.406506 0.913648i \(-0.366747\pi\)
0.970357 0.241677i \(-0.0776973\pi\)
\(642\) 12.0398 + 10.1026i 0.475174 + 0.398718i
\(643\) 2.53895 + 14.3991i 0.100127 + 0.567846i 0.993055 + 0.117648i \(0.0375354\pi\)
−0.892929 + 0.450198i \(0.851353\pi\)
\(644\) −4.25877 1.55007i −0.167819 0.0610811i
\(645\) −0.977711 −0.0384973
\(646\) −1.80722 2.54920i −0.0711041 0.100297i
\(647\) −29.6742 −1.16661 −0.583306 0.812252i \(-0.698241\pi\)
−0.583306 + 0.812252i \(0.698241\pi\)
\(648\) 0.939693 + 0.342020i 0.0369146 + 0.0134358i
\(649\) 0.709607 + 4.02438i 0.0278545 + 0.157971i
\(650\) 2.97178 + 2.49362i 0.116563 + 0.0978079i
\(651\) −10.6702 + 8.95340i −0.418200 + 0.350911i
\(652\) −2.36571 + 13.4166i −0.0926485 + 0.525436i
\(653\) 4.67230 8.09267i 0.182841 0.316691i −0.760006 0.649916i \(-0.774804\pi\)
0.942847 + 0.333226i \(0.108137\pi\)
\(654\) 6.77972 + 11.7428i 0.265108 + 0.459180i
\(655\) 2.22668 0.810446i 0.0870036 0.0316667i
\(656\) 3.71941 1.35375i 0.145218 0.0528552i
\(657\) 2.83022 + 4.90209i 0.110417 + 0.191249i
\(658\) −11.0890 + 19.2067i −0.432294 + 0.748755i
\(659\) 1.28787 7.30385i 0.0501681 0.284518i −0.949395 0.314086i \(-0.898302\pi\)
0.999563 + 0.0295680i \(0.00941317\pi\)
\(660\) −0.407604 + 0.342020i −0.0158660 + 0.0133131i
\(661\) 20.3648 + 17.0881i 0.792100 + 0.664651i 0.946264 0.323394i \(-0.104824\pi\)
−0.154164 + 0.988045i \(0.549268\pi\)
\(662\) 3.00387 + 17.0358i 0.116749 + 0.662115i
\(663\) 2.61334 + 0.951178i 0.101494 + 0.0369407i
\(664\) −3.71688 −0.144243
\(665\) −1.02094 + 12.5094i −0.0395905 + 0.485092i
\(666\) 5.92127 0.229445
\(667\) 4.59405 + 1.67210i 0.177882 + 0.0647438i
\(668\) −2.02435 11.4806i −0.0783244 0.444200i
\(669\) −4.82816 4.05131i −0.186668 0.156633i
\(670\) 1.85844 1.55942i 0.0717978 0.0602455i
\(671\) 1.34936 7.65258i 0.0520913 0.295424i
\(672\) 1.43969 2.49362i 0.0555373 0.0961935i
\(673\) −17.3118 29.9849i −0.667321 1.15583i −0.978650 0.205532i \(-0.934108\pi\)
0.311329 0.950302i \(-0.399226\pi\)
\(674\) 31.9094 11.6141i 1.22910 0.447358i
\(675\) −0.939693 + 0.342020i −0.0361688 + 0.0131644i
\(676\) −1.02481 1.77503i −0.0394160 0.0682704i
\(677\) 3.22075 5.57851i 0.123784 0.214399i −0.797473 0.603354i \(-0.793830\pi\)
0.921257 + 0.388955i \(0.127164\pi\)
\(678\) −3.24123 + 18.3819i −0.124479 + 0.705954i
\(679\) 29.2408 24.5360i 1.12216 0.941604i
\(680\) −0.549163 0.460802i −0.0210594 0.0176710i
\(681\) 3.85726 + 21.8756i 0.147810 + 0.838275i
\(682\) 2.41875 + 0.880352i 0.0926187 + 0.0337104i
\(683\) −11.9240 −0.456258 −0.228129 0.973631i \(-0.573261\pi\)
−0.228129 + 0.973631i \(0.573261\pi\)
\(684\) −3.58512 2.47929i −0.137081 0.0947982i
\(685\) −1.24897 −0.0477207
\(686\) −15.4474 5.62241i −0.589786 0.214664i
\(687\) −2.52347 14.3113i −0.0962764 0.546011i
\(688\) −0.748970 0.628461i −0.0285542 0.0239598i
\(689\) 8.05097 6.75557i 0.306718 0.257367i
\(690\) −0.273318 + 1.55007i −0.0104051 + 0.0590100i
\(691\) −23.8282 + 41.2716i −0.906466 + 1.57005i −0.0875289 + 0.996162i \(0.527897\pi\)
−0.818937 + 0.573883i \(0.805436\pi\)
\(692\) 3.01842 + 5.22805i 0.114743 + 0.198741i
\(693\) 1.43969 0.524005i 0.0546894 0.0199053i
\(694\) −12.5128 + 4.55428i −0.474979 + 0.172878i
\(695\) −4.39053 7.60462i −0.166542 0.288460i
\(696\) −1.55303 + 2.68993i −0.0588676 + 0.101962i
\(697\) −0.492726 + 2.79439i −0.0186633 + 0.105845i
\(698\) −4.03802 + 3.38830i −0.152841 + 0.128249i
\(699\) −8.73648 7.33078i −0.330444 0.277276i
\(700\) 0.500000 + 2.83564i 0.0188982 + 0.107177i
\(701\) 20.1074 + 7.31850i 0.759446 + 0.276416i 0.692575 0.721346i \(-0.256476\pi\)
0.0668713 + 0.997762i \(0.478698\pi\)
\(702\) 3.87939 0.146418
\(703\) −24.9693 6.53466i −0.941735 0.246459i
\(704\) −0.532089 −0.0200539
\(705\) 7.23783 + 2.63435i 0.272592 + 0.0992155i
\(706\) −5.87939 33.3437i −0.221274 1.25490i
\(707\) 32.4786 + 27.2528i 1.22149 + 1.02495i
\(708\) −5.88326 + 4.93664i −0.221106 + 0.185530i
\(709\) −6.72668 + 38.1489i −0.252626 + 1.43271i 0.549468 + 0.835515i \(0.314830\pi\)
−0.802094 + 0.597198i \(0.796281\pi\)
\(710\) 4.02481 6.97118i 0.151049 0.261624i
\(711\) 0.733956 + 1.27125i 0.0275255 + 0.0476755i
\(712\) −14.5287 + 5.28801i −0.544486 + 0.198177i
\(713\) 7.15493 2.60418i 0.267954 0.0975273i
\(714\) 1.03209 + 1.78763i 0.0386250 + 0.0669004i
\(715\) −1.03209 + 1.78763i −0.0385979 + 0.0668536i
\(716\) 0.212134 1.20307i 0.00792781 0.0449608i
\(717\) 8.87804 7.44956i 0.331557 0.278209i
\(718\) −24.1578 20.2708i −0.901559 0.756498i
\(719\) −8.19506 46.4765i −0.305624 1.73328i −0.620552 0.784165i \(-0.713092\pi\)
0.314928 0.949116i \(-0.398020\pi\)
\(720\) −0.939693 0.342020i −0.0350203 0.0127463i
\(721\) −30.9145 −1.15131
\(722\) 12.3819 + 14.4114i 0.460807 + 0.536337i
\(723\) −15.2463 −0.567015
\(724\) −16.9217 6.15901i −0.628892 0.228898i
\(725\) −0.539363 3.05888i −0.0200314 0.113604i
\(726\) 8.20961 + 6.88868i 0.304687 + 0.255663i
\(727\) −34.5979 + 29.0311i −1.28317 + 1.07670i −0.290366 + 0.956916i \(0.593777\pi\)
−0.992799 + 0.119788i \(0.961778\pi\)
\(728\) 1.93969 11.0005i 0.0718898 0.407707i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −2.83022 4.90209i −0.104751 0.181434i
\(731\) 0.658633 0.239723i 0.0243604 0.00886647i
\(732\) 13.7233 4.99486i 0.507227 0.184616i
\(733\) 6.54710 + 11.3399i 0.241823 + 0.418849i 0.961234 0.275736i \(-0.0889214\pi\)
−0.719411 + 0.694585i \(0.755588\pi\)
\(734\) −5.47818 + 9.48848i −0.202203 + 0.350226i
\(735\) 0.224155 1.27125i 0.00826810 0.0468907i
\(736\) −1.20574 + 1.01173i −0.0444441 + 0.0372930i
\(737\) 0.988856 + 0.829748i 0.0364250 + 0.0305642i
\(738\) 0.687319 + 3.89798i 0.0253006 + 0.143487i
\(739\) 41.7845 + 15.2083i 1.53707 + 0.559447i 0.965340 0.260996i \(-0.0840509\pi\)
0.571728 + 0.820443i \(0.306273\pi\)
\(740\) −5.92127 −0.217670
\(741\) −16.3589 4.28125i −0.600959 0.157276i
\(742\) 7.80066 0.286371
\(743\) 2.96229 + 1.07818i 0.108676 + 0.0395547i 0.395786 0.918343i \(-0.370472\pi\)
−0.287110 + 0.957898i \(0.592695\pi\)
\(744\) 0.840022 + 4.76400i 0.0307967 + 0.174657i
\(745\) 5.13950 + 4.31255i 0.188297 + 0.158000i
\(746\) 3.16978 2.65976i 0.116054 0.0973807i
\(747\) 0.645430 3.66041i 0.0236150 0.133928i
\(748\) 0.190722 0.330341i 0.00697350 0.0120785i
\(749\) 22.6275 + 39.1919i 0.826790 + 1.43204i
\(750\) 0.939693 0.342020i 0.0343127 0.0124888i
\(751\) −3.36571 + 1.22502i −0.122817 + 0.0447016i −0.402697 0.915333i \(-0.631927\pi\)
0.279881 + 0.960035i \(0.409705\pi\)
\(752\) 3.85117 + 6.67042i 0.140438 + 0.243245i
\(753\) 5.92649 10.2650i 0.215973 0.374077i
\(754\) −2.09240 + 11.8666i −0.0762006 + 0.432155i
\(755\) −14.7404 + 12.3686i −0.536456 + 0.450140i
\(756\) 2.20574 + 1.85083i 0.0802219 + 0.0673142i
\(757\) −3.30390 18.7374i −0.120082 0.681021i −0.984108 0.177572i \(-0.943176\pi\)
0.864025 0.503448i \(-0.167936\pi\)
\(758\) 31.8209 + 11.5819i 1.15579 + 0.420672i
\(759\) −0.837496 −0.0303992
\(760\) 3.58512 + 2.47929i 0.130046 + 0.0899334i
\(761\) −1.87527 −0.0679784 −0.0339892 0.999422i \(-0.510821\pi\)
−0.0339892 + 0.999422i \(0.510821\pi\)
\(762\) −4.43242 1.61327i −0.160570 0.0584426i
\(763\) 6.77972 + 38.4497i 0.245442 + 1.39197i
\(764\) −1.29813 1.08926i −0.0469648 0.0394082i
\(765\) 0.549163 0.460802i 0.0198550 0.0166603i
\(766\) −3.36366 + 19.0762i −0.121534 + 0.689252i
\(767\) −14.8969 + 25.8022i −0.537897 + 0.931665i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −6.73870 + 2.45269i −0.243004 + 0.0884462i −0.460651 0.887581i \(-0.652384\pi\)
0.217647 + 0.976028i \(0.430162\pi\)
\(770\) −1.43969 + 0.524005i −0.0518829 + 0.0188838i
\(771\) 0.149300 + 0.258595i 0.00537691 + 0.00931308i
\(772\) 0.139033 0.240812i 0.00500391 0.00866703i