Properties

Label 370.2.q.e.103.4
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.4
Root \(-1.09227 - 0.838128i\) of defining polynomial
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.e.97.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.241181 - 0.900100i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.17497 + 0.519137i) q^{5} +(-0.658919 + 0.658919i) q^{6} +(0.596272 + 2.22532i) q^{7} +1.00000 q^{8} +(1.84607 - 1.06583i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.241181 - 0.900100i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.17497 + 0.519137i) q^{5} +(-0.658919 + 0.658919i) q^{6} +(0.596272 + 2.22532i) q^{7} +1.00000 q^{8} +(1.84607 - 1.06583i) q^{9} +(-0.637899 - 2.14315i) q^{10} +4.55406i q^{11} +(0.900100 + 0.241181i) q^{12} +(-2.24441 + 3.88744i) q^{13} +(1.62904 - 1.62904i) q^{14} +(-0.0572862 - 2.08290i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.121109 - 0.0699221i) q^{17} +(-1.84607 - 1.06583i) q^{18} +(4.17940 - 1.11987i) q^{19} +(-1.53707 + 1.62401i) q^{20} +(1.85920 - 1.07341i) q^{21} +(3.94393 - 2.27703i) q^{22} +0.446769 q^{23} +(-0.241181 - 0.900100i) q^{24} +(4.46099 + 2.25822i) q^{25} +4.48883 q^{26} +(-3.38134 - 3.38134i) q^{27} +(-2.22532 - 0.596272i) q^{28} +(4.72158 - 4.72158i) q^{29} +(-1.77520 + 1.09106i) q^{30} +(-4.75531 - 4.75531i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(4.09911 - 1.09835i) q^{33} +(-0.121109 - 0.0699221i) q^{34} +(0.141629 + 5.14954i) q^{35} +2.13165i q^{36} +(-2.51884 - 5.53674i) q^{37} +(-3.05953 - 3.05953i) q^{38} +(4.04039 + 1.08262i) q^{39} +(2.17497 + 0.519137i) q^{40} +(1.14270 + 0.659738i) q^{41} +(-1.85920 - 1.07341i) q^{42} -9.82870 q^{43} +(-3.94393 - 2.27703i) q^{44} +(4.56845 - 1.35978i) q^{45} +(-0.223385 - 0.386913i) q^{46} +(4.73670 - 4.73670i) q^{47} +(-0.658919 + 0.658919i) q^{48} +(1.46568 - 0.846213i) q^{49} +(-0.274824 - 4.99244i) q^{50} +(-0.0921459 - 0.0921459i) q^{51} +(-2.24441 - 3.88744i) q^{52} +(-0.694126 + 2.59051i) q^{53} +(-1.23766 + 4.61900i) q^{54} +(-2.36418 + 9.90494i) q^{55} +(0.596272 + 2.22532i) q^{56} +(-2.01598 - 3.49178i) q^{57} +(-6.44980 - 1.72822i) q^{58} +(-2.78169 + 10.3814i) q^{59} +(1.83248 + 0.991837i) q^{60} +(10.7659 - 2.88470i) q^{61} +(-1.74057 + 6.49588i) q^{62} +(3.47256 + 3.47256i) q^{63} +1.00000 q^{64} +(-6.89965 + 7.28991i) q^{65} +(-3.00075 - 3.00075i) q^{66} +(-8.53652 + 2.28735i) q^{67} +0.139844i q^{68} +(-0.107752 - 0.402137i) q^{69} +(4.38882 - 2.69743i) q^{70} +(-7.49915 + 12.9889i) q^{71} +(1.84607 - 1.06583i) q^{72} +(3.51132 - 3.51132i) q^{73} +(-3.53553 + 4.94975i) q^{74} +(0.956713 - 4.55998i) q^{75} +(-1.11987 + 4.17940i) q^{76} +(-10.1342 + 2.71546i) q^{77} +(-1.08262 - 4.04039i) q^{78} +(8.56826 - 2.29586i) q^{79} +(-0.637899 - 2.14315i) q^{80} +(0.969450 - 1.67914i) q^{81} -1.31948i q^{82} +(0.647412 - 2.41618i) q^{83} +2.14682i q^{84} +(0.299707 - 0.0892064i) q^{85} +(4.91435 + 8.51191i) q^{86} +(-5.38865 - 3.11114i) q^{87} +4.55406i q^{88} +(-17.1027 - 4.58267i) q^{89} +(-3.46183 - 3.27650i) q^{90} +(-9.98907 - 2.67656i) q^{91} +(-0.223385 + 0.386913i) q^{92} +(-3.13336 + 5.42715i) q^{93} +(-6.47045 - 1.73375i) q^{94} +(9.67143 - 0.265995i) q^{95} +(0.900100 + 0.241181i) q^{96} -11.6370i q^{97} +(-1.46568 - 0.846213i) q^{98} +(4.85383 + 8.40709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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
\(3\) −0.241181 0.900100i −0.139246 0.519673i −0.999944 0.0105575i \(-0.996639\pi\)
0.860698 0.509115i \(-0.170027\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 2.17497 + 0.519137i 0.972676 + 0.232165i
\(6\) −0.658919 + 0.658919i −0.269002 + 0.269002i
\(7\) 0.596272 + 2.22532i 0.225370 + 0.841091i 0.982256 + 0.187544i \(0.0600528\pi\)
−0.756887 + 0.653546i \(0.773280\pi\)
\(8\) 1.00000 0.353553
\(9\) 1.84607 1.06583i 0.615355 0.355275i
\(10\) −0.637899 2.14315i −0.201721 0.677723i
\(11\) 4.55406i 1.37310i 0.727083 + 0.686550i \(0.240876\pi\)
−0.727083 + 0.686550i \(0.759124\pi\)
\(12\) 0.900100 + 0.241181i 0.259836 + 0.0696229i
\(13\) −2.24441 + 3.88744i −0.622489 + 1.07818i 0.366532 + 0.930405i \(0.380545\pi\)
−0.989021 + 0.147776i \(0.952788\pi\)
\(14\) 1.62904 1.62904i 0.435381 0.435381i
\(15\) −0.0572862 2.08290i −0.0147912 0.537801i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.121109 0.0699221i 0.0293731 0.0169586i −0.485242 0.874380i \(-0.661268\pi\)
0.514615 + 0.857422i \(0.327935\pi\)
\(18\) −1.84607 1.06583i −0.435122 0.251218i
\(19\) 4.17940 1.11987i 0.958819 0.256915i 0.254719 0.967015i \(-0.418017\pi\)
0.704101 + 0.710100i \(0.251350\pi\)
\(20\) −1.53707 + 1.62401i −0.343700 + 0.363140i
\(21\) 1.85920 1.07341i 0.405710 0.234237i
\(22\) 3.94393 2.27703i 0.840849 0.485464i
\(23\) 0.446769 0.0931578 0.0465789 0.998915i \(-0.485168\pi\)
0.0465789 + 0.998915i \(0.485168\pi\)
\(24\) −0.241181 0.900100i −0.0492309 0.183732i
\(25\) 4.46099 + 2.25822i 0.892199 + 0.451643i
\(26\) 4.48883 0.880332
\(27\) −3.38134 3.38134i −0.650739 0.650739i
\(28\) −2.22532 0.596272i −0.420545 0.112685i
\(29\) 4.72158 4.72158i 0.876775 0.876775i −0.116424 0.993200i \(-0.537143\pi\)
0.993200 + 0.116424i \(0.0371433\pi\)
\(30\) −1.77520 + 1.09106i −0.324105 + 0.199199i
\(31\) −4.75531 4.75531i −0.854079 0.854079i 0.136553 0.990633i \(-0.456398\pi\)
−0.990633 + 0.136553i \(0.956398\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 4.09911 1.09835i 0.713563 0.191199i
\(34\) −0.121109 0.0699221i −0.0207699 0.0119915i
\(35\) 0.141629 + 5.14954i 0.0239396 + 0.870432i
\(36\) 2.13165i 0.355275i
\(37\) −2.51884 5.53674i −0.414095 0.910234i
\(38\) −3.05953 3.05953i −0.496321 0.496321i
\(39\) 4.04039 + 1.08262i 0.646981 + 0.173358i
\(40\) 2.17497 + 0.519137i 0.343893 + 0.0820828i
\(41\) 1.14270 + 0.659738i 0.178460 + 0.103034i 0.586569 0.809899i \(-0.300478\pi\)
−0.408109 + 0.912933i \(0.633812\pi\)
\(42\) −1.85920 1.07341i −0.286880 0.165630i
\(43\) −9.82870 −1.49886 −0.749432 0.662082i \(-0.769673\pi\)
−0.749432 + 0.662082i \(0.769673\pi\)
\(44\) −3.94393 2.27703i −0.594570 0.343275i
\(45\) 4.56845 1.35978i 0.681024 0.202704i
\(46\) −0.223385 0.386913i −0.0329363 0.0570473i
\(47\) 4.73670 4.73670i 0.690919 0.690919i −0.271515 0.962434i \(-0.587525\pi\)
0.962434 + 0.271515i \(0.0875248\pi\)
\(48\) −0.658919 + 0.658919i −0.0951067 + 0.0951067i
\(49\) 1.46568 0.846213i 0.209383 0.120888i
\(50\) −0.274824 4.99244i −0.0388659 0.706038i
\(51\) −0.0921459 0.0921459i −0.0129030 0.0129030i
\(52\) −2.24441 3.88744i −0.311244 0.539091i
\(53\) −0.694126 + 2.59051i −0.0953455 + 0.355834i −0.997072 0.0764735i \(-0.975634\pi\)
0.901726 + 0.432308i \(0.142301\pi\)
\(54\) −1.23766 + 4.61900i −0.168424 + 0.628566i
\(55\) −2.36418 + 9.90494i −0.318786 + 1.33558i
\(56\) 0.596272 + 2.22532i 0.0796802 + 0.297370i
\(57\) −2.01598 3.49178i −0.267023 0.462498i
\(58\) −6.44980 1.72822i −0.846900 0.226926i
\(59\) −2.78169 + 10.3814i −0.362145 + 1.35154i 0.509106 + 0.860704i \(0.329976\pi\)
−0.871251 + 0.490839i \(0.836690\pi\)
\(60\) 1.83248 + 0.991837i 0.236573 + 0.128046i
\(61\) 10.7659 2.88470i 1.37843 0.369348i 0.507877 0.861430i \(-0.330430\pi\)
0.870549 + 0.492081i \(0.163764\pi\)
\(62\) −1.74057 + 6.49588i −0.221052 + 0.824977i
\(63\) 3.47256 + 3.47256i 0.437501 + 0.437501i
\(64\) 1.00000 0.125000
\(65\) −6.89965 + 7.28991i −0.855796 + 0.904202i
\(66\) −3.00075 3.00075i −0.369367 0.369367i
\(67\) −8.53652 + 2.28735i −1.04290 + 0.279445i −0.739315 0.673359i \(-0.764851\pi\)
−0.303586 + 0.952804i \(0.598184\pi\)
\(68\) 0.139844i 0.0169586i
\(69\) −0.107752 0.402137i −0.0129718 0.0484116i
\(70\) 4.38882 2.69743i 0.524565 0.322404i
\(71\) −7.49915 + 12.9889i −0.889986 + 1.54150i −0.0500953 + 0.998744i \(0.515953\pi\)
−0.839890 + 0.542756i \(0.817381\pi\)
\(72\) 1.84607 1.06583i 0.217561 0.125609i
\(73\) 3.51132 3.51132i 0.410969 0.410969i −0.471107 0.882076i \(-0.656145\pi\)
0.882076 + 0.471107i \(0.156145\pi\)
\(74\) −3.53553 + 4.94975i −0.410997 + 0.575396i
\(75\) 0.956713 4.55998i 0.110472 0.526541i
\(76\) −1.11987 + 4.17940i −0.128457 + 0.479410i
\(77\) −10.1342 + 2.71546i −1.15490 + 0.309455i
\(78\) −1.08262 4.04039i −0.122583 0.457484i
\(79\) 8.56826 2.29586i 0.964004 0.258304i 0.257710 0.966222i \(-0.417032\pi\)
0.706294 + 0.707918i \(0.250365\pi\)
\(80\) −0.637899 2.14315i −0.0713193 0.239611i
\(81\) 0.969450 1.67914i 0.107717 0.186571i
\(82\) 1.31948i 0.145712i
\(83\) 0.647412 2.41618i 0.0710627 0.265210i −0.921249 0.388973i \(-0.872830\pi\)
0.992312 + 0.123764i \(0.0394965\pi\)
\(84\) 2.14682i 0.234237i
\(85\) 0.299707 0.0892064i 0.0325078 0.00967580i
\(86\) 4.91435 + 8.51191i 0.529928 + 0.917862i
\(87\) −5.38865 3.11114i −0.577723 0.333549i
\(88\) 4.55406i 0.485464i
\(89\) −17.1027 4.58267i −1.81289 0.485762i −0.817022 0.576606i \(-0.804377\pi\)
−0.995865 + 0.0908446i \(0.971043\pi\)
\(90\) −3.46183 3.27650i −0.364909 0.345374i
\(91\) −9.98907 2.67656i −1.04714 0.280580i
\(92\) −0.223385 + 0.386913i −0.0232894 + 0.0403385i
\(93\) −3.13336 + 5.42715i −0.324915 + 0.562769i
\(94\) −6.47045 1.73375i −0.667376 0.178823i
\(95\) 9.67143 0.265995i 0.992268 0.0272905i
\(96\) 0.900100 + 0.241181i 0.0918660 + 0.0246154i
\(97\) 11.6370i 1.18156i −0.806833 0.590779i \(-0.798820\pi\)
0.806833 0.590779i \(-0.201180\pi\)
\(98\) −1.46568 0.846213i −0.148056 0.0854804i
\(99\) 4.85383 + 8.40709i 0.487829 + 0.844944i
\(100\) −4.18617 + 2.73423i −0.418617 + 0.273423i
\(101\) 5.49382i 0.546656i 0.961921 + 0.273328i \(0.0881244\pi\)
−0.961921 + 0.273328i \(0.911876\pi\)
\(102\) −0.0337277 + 0.125874i −0.00333954 + 0.0124633i
\(103\) 1.82053i 0.179382i 0.995970 + 0.0896912i \(0.0285880\pi\)
−0.995970 + 0.0896912i \(0.971412\pi\)
\(104\) −2.24441 + 3.88744i −0.220083 + 0.381195i
\(105\) 4.60094 1.36945i 0.449006 0.133645i
\(106\) 2.59051 0.694126i 0.251613 0.0674195i
\(107\) 0.351210 + 1.31073i 0.0339527 + 0.126713i 0.980822 0.194905i \(-0.0624399\pi\)
−0.946869 + 0.321618i \(0.895773\pi\)
\(108\) 4.61900 1.23766i 0.444463 0.119094i
\(109\) 3.23620 12.0777i 0.309971 1.15683i −0.618609 0.785699i \(-0.712304\pi\)
0.928581 0.371130i \(-0.121030\pi\)
\(110\) 9.76002 2.90503i 0.930581 0.276984i
\(111\) −4.37612 + 3.60256i −0.415363 + 0.341940i
\(112\) 1.62904 1.62904i 0.153930 0.153930i
\(113\) −9.25360 + 5.34257i −0.870506 + 0.502587i −0.867516 0.497409i \(-0.834285\pi\)
−0.00298939 + 0.999996i \(0.500952\pi\)
\(114\) −2.01598 + 3.49178i −0.188814 + 0.327035i
\(115\) 0.971710 + 0.231934i 0.0906124 + 0.0216280i
\(116\) 1.72822 + 6.44980i 0.160461 + 0.598849i
\(117\) 9.56862i 0.884620i
\(118\) 10.3814 2.78169i 0.955685 0.256075i
\(119\) 0.227812 + 0.227812i 0.0208835 + 0.0208835i
\(120\) −0.0572862 2.08290i −0.00522949 0.190142i
\(121\) −9.73944 −0.885404
\(122\) −7.88115 7.88115i −0.713526 0.713526i
\(123\) 0.318232 1.18766i 0.0286940 0.107088i
\(124\) 6.49588 1.74057i 0.583347 0.156307i
\(125\) 8.53020 + 7.22742i 0.762965 + 0.646440i
\(126\) 1.27104 4.74360i 0.113234 0.422594i
\(127\) −0.590471 0.158216i −0.0523958 0.0140394i 0.232526 0.972590i \(-0.425301\pi\)
−0.284922 + 0.958551i \(0.591968\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 2.37050 + 8.84681i 0.208711 + 0.778918i
\(130\) 9.76307 + 2.33032i 0.856278 + 0.204382i
\(131\) −0.681004 + 2.54154i −0.0594996 + 0.222056i −0.989273 0.146076i \(-0.953336\pi\)
0.929774 + 0.368131i \(0.120002\pi\)
\(132\) −1.09835 + 4.09911i −0.0955993 + 0.356781i
\(133\) 4.98411 + 8.63274i 0.432177 + 0.748553i
\(134\) 6.24917 + 6.24917i 0.539846 + 0.539846i
\(135\) −5.59894 9.10970i −0.481880 0.784038i
\(136\) 0.121109 0.0699221i 0.0103850 0.00599577i
\(137\) 9.35958 9.35958i 0.799643 0.799643i −0.183396 0.983039i \(-0.558709\pi\)
0.983039 + 0.183396i \(0.0587091\pi\)
\(138\) −0.294384 + 0.294384i −0.0250597 + 0.0250597i
\(139\) −5.90003 10.2192i −0.500434 0.866778i −1.00000 0.000501485i \(-0.999840\pi\)
0.499566 0.866276i \(-0.333493\pi\)
\(140\) −4.53045 2.45212i −0.382893 0.207242i
\(141\) −5.40590 3.12110i −0.455259 0.262844i
\(142\) 14.9983 1.25863
\(143\) −17.7036 10.2212i −1.48045 0.854739i
\(144\) −1.84607 1.06583i −0.153839 0.0888189i
\(145\) 12.7204 7.81815i 1.05638 0.649262i
\(146\) −4.79656 1.28523i −0.396966 0.106367i
\(147\) −1.11517 1.11517i −0.0919778 0.0919778i
\(148\) 6.05437 + 0.586988i 0.497666 + 0.0482502i
\(149\) 10.4140i 0.853150i −0.904452 0.426575i \(-0.859720\pi\)
0.904452 0.426575i \(-0.140280\pi\)
\(150\) −4.42741 + 1.45145i −0.361497 + 0.118510i
\(151\) −12.1808 7.03261i −0.991263 0.572306i −0.0856115 0.996329i \(-0.527284\pi\)
−0.905652 + 0.424023i \(0.860618\pi\)
\(152\) 4.17940 1.11987i 0.338994 0.0908331i
\(153\) 0.149050 0.258161i 0.0120499 0.0208711i
\(154\) 7.41876 + 7.41876i 0.597821 + 0.597821i
\(155\) −7.87401 12.8113i −0.632455 1.02903i
\(156\) −2.95777 + 2.95777i −0.236811 + 0.236811i
\(157\) −9.31662 2.49638i −0.743547 0.199233i −0.132893 0.991130i \(-0.542427\pi\)
−0.610654 + 0.791897i \(0.709093\pi\)
\(158\) −6.27240 6.27240i −0.499005 0.499005i
\(159\) 2.49913 0.198194
\(160\) −1.53707 + 1.62401i −0.121516 + 0.128389i
\(161\) 0.266396 + 0.994203i 0.0209949 + 0.0783541i
\(162\) −1.93890 −0.152334
\(163\) 6.83525 3.94633i 0.535378 0.309101i −0.207826 0.978166i \(-0.566639\pi\)
0.743204 + 0.669065i \(0.233305\pi\)
\(164\) −1.14270 + 0.659738i −0.0892298 + 0.0515169i
\(165\) 9.48563 0.260885i 0.738455 0.0203099i
\(166\) −2.41618 + 0.647412i −0.187532 + 0.0502489i
\(167\) 4.43336 + 2.55960i 0.343064 + 0.198068i 0.661626 0.749834i \(-0.269867\pi\)
−0.318562 + 0.947902i \(0.603200\pi\)
\(168\) 1.85920 1.07341i 0.143440 0.0828152i
\(169\) −3.57479 6.19172i −0.274984 0.476286i
\(170\) −0.227108 0.214950i −0.0174184 0.0164859i
\(171\) 6.52186 6.52186i 0.498739 0.498739i
\(172\) 4.91435 8.51191i 0.374716 0.649027i
\(173\) 12.7248 + 3.40960i 0.967448 + 0.259227i 0.707750 0.706463i \(-0.249710\pi\)
0.259698 + 0.965690i \(0.416377\pi\)
\(174\) 6.22227i 0.471709i
\(175\) −2.36528 + 11.2736i −0.178799 + 0.852207i
\(176\) 3.94393 2.27703i 0.297285 0.171638i
\(177\) 10.0152 0.752787
\(178\) 4.58267 + 17.1027i 0.343485 + 1.28190i
\(179\) −13.6004 + 13.6004i −1.01654 + 1.01654i −0.0166842 + 0.999861i \(0.505311\pi\)
−0.999861 + 0.0166842i \(0.994689\pi\)
\(180\) −1.10662 + 4.63628i −0.0824826 + 0.345568i
\(181\) −5.90244 + 10.2233i −0.438725 + 0.759894i −0.997591 0.0693636i \(-0.977903\pi\)
0.558866 + 0.829258i \(0.311236\pi\)
\(182\) 2.67656 + 9.98907i 0.198400 + 0.740439i
\(183\) −5.19304 8.99461i −0.383880 0.664900i
\(184\) 0.446769 0.0329363
\(185\) −2.60408 13.3499i −0.191456 0.981501i
\(186\) 6.26673 0.459499
\(187\) 0.318429 + 0.551535i 0.0232858 + 0.0403323i
\(188\) 1.73375 + 6.47045i 0.126447 + 0.471906i
\(189\) 5.50836 9.54075i 0.400674 0.693988i
\(190\) −5.06607 8.24271i −0.367532 0.597989i
\(191\) 8.07962 8.07962i 0.584621 0.584621i −0.351549 0.936170i \(-0.614345\pi\)
0.936170 + 0.351549i \(0.114345\pi\)
\(192\) −0.241181 0.900100i −0.0174057 0.0649591i
\(193\) −6.17771 −0.444682 −0.222341 0.974969i \(-0.571370\pi\)
−0.222341 + 0.974969i \(0.571370\pi\)
\(194\) −10.0779 + 5.81850i −0.723554 + 0.417744i
\(195\) 8.22571 + 4.45219i 0.589055 + 0.318828i
\(196\) 1.69243i 0.120888i
\(197\) 17.5440 + 4.70090i 1.24996 + 0.334925i 0.822320 0.569025i \(-0.192679\pi\)
0.427638 + 0.903950i \(0.359346\pi\)
\(198\) 4.85383 8.40709i 0.344947 0.597466i
\(199\) 13.6366 13.6366i 0.966675 0.966675i −0.0327878 0.999462i \(-0.510439\pi\)
0.999462 + 0.0327878i \(0.0104386\pi\)
\(200\) 4.46099 + 2.25822i 0.315440 + 0.159680i
\(201\) 4.11769 + 7.13205i 0.290440 + 0.503056i
\(202\) 4.75779 2.74691i 0.334757 0.193272i
\(203\) 13.3224 + 7.69166i 0.935046 + 0.539849i
\(204\) 0.125874 0.0337277i 0.00881292 0.00236141i
\(205\) 2.14284 + 2.02813i 0.149663 + 0.141651i
\(206\) 1.57663 0.910266i 0.109849 0.0634212i
\(207\) 0.824765 0.476178i 0.0573251 0.0330967i
\(208\) 4.48883 0.311244
\(209\) 5.09993 + 19.0332i 0.352770 + 1.31655i
\(210\) −3.48645 3.29981i −0.240588 0.227708i
\(211\) 8.34576 0.574546 0.287273 0.957849i \(-0.407251\pi\)
0.287273 + 0.957849i \(0.407251\pi\)
\(212\) −1.89639 1.89639i −0.130244 0.130244i
\(213\) 13.5000 + 3.61731i 0.925003 + 0.247854i
\(214\) 0.959523 0.959523i 0.0655916 0.0655916i
\(215\) −21.3771 5.10245i −1.45791 0.347984i
\(216\) −3.38134 3.38134i −0.230071 0.230071i
\(217\) 7.74662 13.4175i 0.525875 0.910842i
\(218\) −12.0777 + 3.23620i −0.818002 + 0.219183i
\(219\) −4.00740 2.31368i −0.270795 0.156344i
\(220\) −7.39584 6.99991i −0.498627 0.471934i
\(221\) 0.627736i 0.0422261i
\(222\) 5.30797 + 1.98855i 0.356248 + 0.133463i
\(223\) −5.05082 5.05082i −0.338228 0.338228i 0.517472 0.855700i \(-0.326873\pi\)
−0.855700 + 0.517472i \(0.826873\pi\)
\(224\) −2.22532 0.596272i −0.148685 0.0398401i
\(225\) 10.6422 0.585829i 0.709477 0.0390552i
\(226\) 9.25360 + 5.34257i 0.615540 + 0.355382i
\(227\) −1.75644 1.01408i −0.116579 0.0673069i 0.440577 0.897715i \(-0.354774\pi\)
−0.557156 + 0.830408i \(0.688107\pi\)
\(228\) 4.03196 0.267023
\(229\) 11.0500 + 6.37974i 0.730207 + 0.421585i 0.818498 0.574510i \(-0.194807\pi\)
−0.0882909 + 0.996095i \(0.528140\pi\)
\(230\) −0.284994 0.957492i −0.0187919 0.0631352i
\(231\) 4.88836 + 8.46689i 0.321631 + 0.557081i
\(232\) 4.72158 4.72158i 0.309987 0.309987i
\(233\) −20.9280 + 20.9280i −1.37104 + 1.37104i −0.512137 + 0.858904i \(0.671146\pi\)
−0.858904 + 0.512137i \(0.828854\pi\)
\(234\) 8.28667 4.78431i 0.541717 0.312760i
\(235\) 12.7612 7.84318i 0.832448 0.511633i
\(236\) −7.59971 7.59971i −0.494699 0.494699i
\(237\) −4.13300 7.15857i −0.268467 0.464999i
\(238\) 0.0833851 0.311197i 0.00540505 0.0201719i
\(239\) 7.63736 28.5030i 0.494020 1.84371i −0.0414310 0.999141i \(-0.513192\pi\)
0.535451 0.844566i \(-0.320142\pi\)
\(240\) −1.77520 + 1.09106i −0.114589 + 0.0704276i
\(241\) −3.69460 13.7884i −0.237990 0.888192i −0.976778 0.214254i \(-0.931268\pi\)
0.738788 0.673938i \(-0.235399\pi\)
\(242\) 4.86972 + 8.43460i 0.313038 + 0.542197i
\(243\) −15.6022 4.18060i −1.00088 0.268185i
\(244\) −2.88470 + 10.7659i −0.184674 + 0.689213i
\(245\) 3.62712 1.07960i 0.231728 0.0689729i
\(246\) −1.18766 + 0.318232i −0.0757224 + 0.0202898i
\(247\) −5.02689 + 18.7606i −0.319853 + 1.19371i
\(248\) −4.75531 4.75531i −0.301963 0.301963i
\(249\) −2.33094 −0.147717
\(250\) 1.99403 11.0011i 0.126113 0.695770i
\(251\) 9.55168 + 9.55168i 0.602897 + 0.602897i 0.941080 0.338183i \(-0.109812\pi\)
−0.338183 + 0.941080i \(0.609812\pi\)
\(252\) −4.74360 + 1.27104i −0.298819 + 0.0800683i
\(253\) 2.03461i 0.127915i
\(254\) 0.158216 + 0.590471i 0.00992737 + 0.0370495i
\(255\) −0.152578 0.248251i −0.00955482 0.0155461i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −19.4835 + 11.2488i −1.21535 + 0.701680i −0.963919 0.266196i \(-0.914233\pi\)
−0.251427 + 0.967876i \(0.580900\pi\)
\(258\) 6.47632 6.47632i 0.403198 0.403198i
\(259\) 10.8191 8.90662i 0.672265 0.553430i
\(260\) −2.86342 9.62023i −0.177582 0.596621i
\(261\) 3.68396 13.7487i 0.228031 0.851025i
\(262\) 2.54154 0.681004i 0.157017 0.0420726i
\(263\) −0.428077 1.59760i −0.0263963 0.0985125i 0.951471 0.307739i \(-0.0995722\pi\)
−0.977867 + 0.209226i \(0.932906\pi\)
\(264\) 4.09911 1.09835i 0.252282 0.0675989i
\(265\) −2.85454 + 5.27394i −0.175353 + 0.323976i
\(266\) 4.98411 8.63274i 0.305596 0.529307i
\(267\) 16.4994i 1.00975i
\(268\) 2.28735 8.53652i 0.139722 0.521451i
\(269\) 0.258063i 0.0157344i −0.999969 0.00786719i \(-0.997496\pi\)
0.999969 0.00786719i \(-0.00250423\pi\)
\(270\) −5.08976 + 9.40367i −0.309753 + 0.572289i
\(271\) −6.54357 11.3338i −0.397494 0.688479i 0.595922 0.803042i \(-0.296787\pi\)
−0.993416 + 0.114563i \(0.963453\pi\)
\(272\) −0.121109 0.0699221i −0.00734328 0.00423965i
\(273\) 9.63669i 0.583239i
\(274\) −12.7854 3.42584i −0.772396 0.206963i
\(275\) −10.2840 + 20.3156i −0.620151 + 1.22508i
\(276\) 0.402137 + 0.107752i 0.0242058 + 0.00648592i
\(277\) −6.63909 + 11.4992i −0.398904 + 0.690922i −0.993591 0.113035i \(-0.963943\pi\)
0.594687 + 0.803957i \(0.297276\pi\)
\(278\) −5.90003 + 10.2192i −0.353860 + 0.612904i
\(279\) −13.8470 3.71028i −0.828996 0.222129i
\(280\) 0.141629 + 5.14954i 0.00846394 + 0.307744i
\(281\) −19.1708 5.13680i −1.14363 0.306436i −0.363222 0.931702i \(-0.618323\pi\)
−0.780411 + 0.625267i \(0.784990\pi\)
\(282\) 6.24220i 0.371718i
\(283\) 9.77846 + 5.64560i 0.581269 + 0.335596i 0.761638 0.648003i \(-0.224396\pi\)
−0.180368 + 0.983599i \(0.557729\pi\)
\(284\) −7.49915 12.9889i −0.444993 0.770750i
\(285\) −2.57199 8.64110i −0.152351 0.511854i
\(286\) 20.4424i 1.20878i
\(287\) −0.786766 + 2.93625i −0.0464413 + 0.173321i
\(288\) 2.13165i 0.125609i
\(289\) −8.49022 + 14.7055i −0.499425 + 0.865029i
\(290\) −13.1309 7.10715i −0.771075 0.417346i
\(291\) −10.4745 + 2.80662i −0.614024 + 0.164527i
\(292\) 1.28523 + 4.79656i 0.0752126 + 0.280697i
\(293\) 15.6727 4.19949i 0.915610 0.245337i 0.229902 0.973214i \(-0.426159\pi\)
0.685708 + 0.727877i \(0.259493\pi\)
\(294\) −0.408181 + 1.52335i −0.0238056 + 0.0888437i
\(295\) −11.4395 + 21.1352i −0.666031 + 1.23054i
\(296\) −2.51884 5.53674i −0.146405 0.321816i
\(297\) 15.3988 15.3988i 0.893530 0.893530i
\(298\) −9.01881 + 5.20701i −0.522445 + 0.301634i
\(299\) −1.00274 + 1.73679i −0.0579897 + 0.100441i
\(300\) 3.47070 + 3.10853i 0.200381 + 0.179471i
\(301\) −5.86058 21.8720i −0.337798 1.26068i
\(302\) 14.0652i 0.809363i
\(303\) 4.94498 1.32500i 0.284082 0.0761195i
\(304\) −3.05953 3.05953i −0.175476 0.175476i
\(305\) 24.9130 0.685185i 1.42651 0.0392336i
\(306\) −0.298099 −0.0170412
\(307\) −20.9722 20.9722i −1.19695 1.19695i −0.975076 0.221870i \(-0.928784\pi\)
−0.221870 0.975076i \(-0.571216\pi\)
\(308\) 2.71546 10.1342i 0.154727 0.577451i
\(309\) 1.63866 0.439078i 0.0932201 0.0249783i
\(310\) −7.15793 + 13.2248i −0.406543 + 0.751115i
\(311\) −5.00043 + 18.6619i −0.283549 + 1.05822i 0.666345 + 0.745644i \(0.267858\pi\)
−0.949893 + 0.312574i \(0.898809\pi\)
\(312\) 4.04039 + 1.08262i 0.228742 + 0.0612913i
\(313\) −15.5593 26.9495i −0.879464 1.52328i −0.851930 0.523656i \(-0.824568\pi\)
−0.0275348 0.999621i \(-0.508766\pi\)
\(314\) 2.49638 + 9.31662i 0.140879 + 0.525767i
\(315\) 5.74998 + 9.35544i 0.323974 + 0.527120i
\(316\) −2.29586 + 8.56826i −0.129152 + 0.482002i
\(317\) −1.67049 + 6.23435i −0.0938240 + 0.350156i −0.996839 0.0794541i \(-0.974682\pi\)
0.903015 + 0.429610i \(0.141349\pi\)
\(318\) −1.24956 2.16431i −0.0700721 0.121368i
\(319\) 21.5023 + 21.5023i 1.20390 + 1.20390i
\(320\) 2.17497 + 0.519137i 0.121585 + 0.0290207i
\(321\) 1.09508 0.632248i 0.0611217 0.0352886i
\(322\) 0.727807 0.727807i 0.0405591 0.0405591i
\(323\) 0.427857 0.427857i 0.0238066 0.0238066i
\(324\) 0.969450 + 1.67914i 0.0538583 + 0.0932854i
\(325\) −18.7910 + 12.2735i −1.04234 + 0.680810i
\(326\) −6.83525 3.94633i −0.378569 0.218567i
\(327\) −11.6516 −0.644335
\(328\) 1.14270 + 0.659738i 0.0630950 + 0.0364279i
\(329\) 13.3650 + 7.71630i 0.736837 + 0.425413i
\(330\) −4.96875 8.08435i −0.273521 0.445029i
\(331\) 4.41198 + 1.18219i 0.242504 + 0.0649788i 0.378024 0.925796i \(-0.376604\pi\)
−0.135520 + 0.990775i \(0.543270\pi\)
\(332\) 1.76876 + 1.76876i 0.0970735 + 0.0970735i
\(333\) −10.5511 7.53653i −0.578199 0.412999i
\(334\) 5.11920i 0.280110i
\(335\) −19.7541 + 0.543301i −1.07928 + 0.0296837i
\(336\) −1.85920 1.07341i −0.101428 0.0585592i
\(337\) −19.9039 + 5.33324i −1.08424 + 0.290520i −0.756330 0.654190i \(-0.773009\pi\)
−0.327906 + 0.944710i \(0.606343\pi\)
\(338\) −3.57479 + 6.19172i −0.194443 + 0.336785i
\(339\) 7.04064 + 7.04064i 0.382395 + 0.382395i
\(340\) −0.0725983 + 0.304157i −0.00393720 + 0.0164952i
\(341\) 21.6560 21.6560i 1.17274 1.17274i
\(342\) −8.90902 2.38717i −0.481745 0.129083i
\(343\) 14.1604 + 14.1604i 0.764587 + 0.764587i
\(344\) −9.82870 −0.529928
\(345\) −0.0255937 0.930574i −0.00137792 0.0501004i
\(346\) −3.40960 12.7248i −0.183301 0.684089i
\(347\) 10.4415 0.560532 0.280266 0.959922i \(-0.409577\pi\)
0.280266 + 0.959922i \(0.409577\pi\)
\(348\) 5.38865 3.11114i 0.288862 0.166774i
\(349\) −23.6675 + 13.6644i −1.26689 + 0.731441i −0.974399 0.224826i \(-0.927819\pi\)
−0.292494 + 0.956267i \(0.594485\pi\)
\(350\) 10.9459 3.58842i 0.585083 0.191809i
\(351\) 20.7339 5.55563i 1.10669 0.296538i
\(352\) −3.94393 2.27703i −0.210212 0.121366i
\(353\) 19.5329 11.2773i 1.03963 0.600232i 0.119903 0.992786i \(-0.461742\pi\)
0.919729 + 0.392554i \(0.128408\pi\)
\(354\) −5.00759 8.67340i −0.266150 0.460986i
\(355\) −23.0535 + 24.3574i −1.22355 + 1.29276i
\(356\) 12.5201 12.5201i 0.663563 0.663563i
\(357\) 0.150110 0.259998i 0.00794465 0.0137605i
\(358\) 18.5786 + 4.97811i 0.981907 + 0.263101i
\(359\) 15.0721i 0.795473i −0.917500 0.397737i \(-0.869796\pi\)
0.917500 0.397737i \(-0.130204\pi\)
\(360\) 4.56845 1.35978i 0.240778 0.0716667i
\(361\) −0.241226 + 0.139272i −0.0126961 + 0.00733010i
\(362\) 11.8049 0.620451
\(363\) 2.34897 + 8.76647i 0.123289 + 0.460120i
\(364\) 7.31250 7.31250i 0.383279 0.383279i
\(365\) 9.45988 5.81416i 0.495153 0.304327i
\(366\) −5.19304 + 8.99461i −0.271444 + 0.470156i
\(367\) −4.31430 16.1012i −0.225204 0.840474i −0.982323 0.187196i \(-0.940060\pi\)
0.757118 0.653278i \(-0.226607\pi\)
\(368\) −0.223385 0.386913i −0.0116447 0.0201693i
\(369\) 2.81266 0.146421
\(370\) −10.2593 + 8.93013i −0.533355 + 0.464255i
\(371\) −6.17860 −0.320777
\(372\) −3.13336 5.42715i −0.162457 0.281384i
\(373\) 6.94677 + 25.9257i 0.359690 + 1.34238i 0.874478 + 0.485065i \(0.161204\pi\)
−0.514788 + 0.857318i \(0.672129\pi\)
\(374\) 0.318429 0.551535i 0.0164656 0.0285192i
\(375\) 4.44808 9.42115i 0.229698 0.486506i
\(376\) 4.73670 4.73670i 0.244277 0.244277i
\(377\) 7.75767 + 28.9520i 0.399541 + 1.49111i
\(378\) −11.0167 −0.566639
\(379\) −30.0369 + 17.3418i −1.54289 + 0.890789i −0.544238 + 0.838931i \(0.683181\pi\)
−0.998654 + 0.0518580i \(0.983486\pi\)
\(380\) −4.60536 + 8.50870i −0.236250 + 0.436487i
\(381\) 0.569642i 0.0291836i
\(382\) −11.0370 2.95735i −0.564700 0.151311i
\(383\) 10.3440 17.9163i 0.528551 0.915478i −0.470895 0.882190i \(-0.656069\pi\)
0.999446 0.0332881i \(-0.0105979\pi\)
\(384\) −0.658919 + 0.658919i −0.0336253 + 0.0336253i
\(385\) −23.4513 + 0.644986i −1.19519 + 0.0328715i
\(386\) 3.08886 + 5.35006i 0.157219 + 0.272311i
\(387\) −18.1444 + 10.4757i −0.922333 + 0.532509i
\(388\) 10.0779 + 5.81850i 0.511630 + 0.295390i
\(389\) −21.3476 + 5.72008i −1.08237 + 0.290019i −0.755565 0.655073i \(-0.772638\pi\)
−0.326802 + 0.945093i \(0.605971\pi\)
\(390\) −0.257148 9.34976i −0.0130212 0.473444i
\(391\) 0.0541076 0.0312390i 0.00273634 0.00157982i
\(392\) 1.46568 0.846213i 0.0740282 0.0427402i
\(393\) 2.45189 0.123681
\(394\) −4.70090 17.5440i −0.236828 0.883854i
\(395\) 19.8276 0.545321i 0.997633 0.0274381i
\(396\) −9.70767 −0.487829
\(397\) 11.5860 + 11.5860i 0.581486 + 0.581486i 0.935312 0.353825i \(-0.115119\pi\)
−0.353825 + 0.935312i \(0.615119\pi\)
\(398\) −18.6280 4.99135i −0.933736 0.250194i
\(399\) 6.56825 6.56825i 0.328824 0.328824i
\(400\) −0.274824 4.99244i −0.0137412 0.249622i
\(401\) −6.60086 6.60086i −0.329631 0.329631i 0.522815 0.852446i \(-0.324882\pi\)
−0.852446 + 0.522815i \(0.824882\pi\)
\(402\) 4.11769 7.13205i 0.205372 0.355714i
\(403\) 29.1589 7.81310i 1.45251 0.389198i
\(404\) −4.75779 2.74691i −0.236709 0.136664i
\(405\) 2.98023 3.14879i 0.148089 0.156465i
\(406\) 15.3833i 0.763462i
\(407\) 25.2146 11.4709i 1.24984 0.568594i
\(408\) −0.0921459 0.0921459i −0.00456190 0.00456190i
\(409\) 4.67360 + 1.25229i 0.231095 + 0.0619216i 0.372508 0.928029i \(-0.378498\pi\)
−0.141413 + 0.989951i \(0.545165\pi\)
\(410\) 0.684989 2.86982i 0.0338292 0.141730i
\(411\) −10.6819 6.16720i −0.526900 0.304206i
\(412\) −1.57663 0.910266i −0.0776748 0.0448456i
\(413\) −24.7605 −1.21839
\(414\) −0.824765 0.476178i −0.0405350 0.0234029i
\(415\) 2.66243 4.91902i 0.130694 0.241465i
\(416\) −2.24441 3.88744i −0.110041 0.190597i
\(417\) −7.77528 + 7.77528i −0.380757 + 0.380757i
\(418\) 13.9333 13.9333i 0.681499 0.681499i
\(419\) −9.58578 + 5.53435i −0.468296 + 0.270371i −0.715526 0.698586i \(-0.753813\pi\)
0.247230 + 0.968957i \(0.420480\pi\)
\(420\) −1.11449 + 4.66926i −0.0543816 + 0.227837i
\(421\) −7.37571 7.37571i −0.359470 0.359470i 0.504147 0.863618i \(-0.331807\pi\)
−0.863618 + 0.504147i \(0.831807\pi\)
\(422\) −4.17288 7.22764i −0.203133 0.351836i
\(423\) 3.69576 13.7928i 0.179694 0.670627i
\(424\) −0.694126 + 2.59051i −0.0337097 + 0.125806i
\(425\) 0.698164 0.0384325i 0.0338659 0.00186425i
\(426\) −3.61731 13.5000i −0.175259 0.654076i
\(427\) 12.8387 + 22.2374i 0.621311 + 1.07614i
\(428\) −1.31073 0.351210i −0.0633567 0.0169764i
\(429\) −4.93031 + 18.4002i −0.238038 + 0.888369i
\(430\) 6.26972 + 21.0644i 0.302353 + 1.01581i
\(431\) 22.3528 5.98942i 1.07670 0.288500i 0.323455 0.946243i \(-0.395156\pi\)
0.753242 + 0.657743i \(0.228489\pi\)
\(432\) −1.23766 + 4.61900i −0.0595468 + 0.222232i
\(433\) 22.6192 + 22.6192i 1.08701 + 1.08701i 0.995835 + 0.0911736i \(0.0290618\pi\)
0.0911736 + 0.995835i \(0.470938\pi\)
\(434\) −15.4932 −0.743699
\(435\) −10.1050 9.56408i −0.484500 0.458562i
\(436\) 8.84145 + 8.84145i 0.423429 + 0.423429i
\(437\) 1.86723 0.500321i 0.0893215 0.0239336i
\(438\) 4.62735i 0.221103i
\(439\) −0.526319 1.96425i −0.0251198 0.0937485i 0.952228 0.305388i \(-0.0987863\pi\)
−0.977348 + 0.211640i \(0.932120\pi\)
\(440\) −2.36418 + 9.90494i −0.112708 + 0.472200i
\(441\) 1.80383 3.12433i 0.0858968 0.148778i
\(442\) 0.543636 0.313868i 0.0258581 0.0149292i
\(443\) −11.9041 + 11.9041i −0.565580 + 0.565580i −0.930887 0.365307i \(-0.880964\pi\)
0.365307 + 0.930887i \(0.380964\pi\)
\(444\) −0.931852 5.59111i −0.0442237 0.265342i
\(445\) −34.8189 18.8458i −1.65058 0.893378i
\(446\) −1.84873 + 6.89955i −0.0875398 + 0.326703i
\(447\) −9.37365 + 2.51166i −0.443359 + 0.118798i
\(448\) 0.596272 + 2.22532i 0.0281712 + 0.105136i
\(449\) 28.6077 7.66541i 1.35008 0.361753i 0.489916 0.871770i \(-0.337028\pi\)
0.860164 + 0.510017i \(0.170361\pi\)
\(450\) −5.82842 8.92346i −0.274754 0.420656i
\(451\) −3.00448 + 5.20392i −0.141476 + 0.245043i
\(452\) 10.6851i 0.502587i
\(453\) −3.39227 + 12.6601i −0.159383 + 0.594824i
\(454\) 2.02816i 0.0951863i
\(455\) −20.3364 11.0071i −0.953386 0.516023i
\(456\) −2.01598 3.49178i −0.0944070 0.163518i
\(457\) 28.2244 + 16.2953i 1.32028 + 0.762264i 0.983773 0.179417i \(-0.0574210\pi\)
0.336507 + 0.941681i \(0.390754\pi\)
\(458\) 12.7595i 0.596212i
\(459\) −0.645940 0.173079i −0.0301499 0.00807864i
\(460\) −0.686716 + 0.725558i −0.0320183 + 0.0338293i
\(461\) −4.64511 1.24465i −0.216344 0.0579693i 0.149019 0.988834i \(-0.452389\pi\)
−0.365363 + 0.930865i \(0.619055\pi\)
\(462\) 4.88836 8.46689i 0.227427 0.393915i
\(463\) 14.3339 24.8270i 0.666152 1.15381i −0.312819 0.949813i \(-0.601273\pi\)
0.978971 0.203997i \(-0.0653933\pi\)
\(464\) −6.44980 1.72822i −0.299424 0.0802305i
\(465\) −9.63241 + 10.1772i −0.446692 + 0.471958i
\(466\) 28.5882 + 7.66019i 1.32432 + 0.354851i
\(467\) 28.9463i 1.33948i 0.742597 + 0.669738i \(0.233594\pi\)
−0.742597 + 0.669738i \(0.766406\pi\)
\(468\) −8.28667 4.78431i −0.383052 0.221155i
\(469\) −10.1802 17.6326i −0.470077 0.814197i
\(470\) −13.1730 7.12991i −0.607625 0.328878i
\(471\) 8.98797i 0.414144i
\(472\) −2.78169 + 10.3814i −0.128037 + 0.477842i
\(473\) 44.7605i 2.05809i
\(474\) −4.13300 + 7.15857i −0.189835 + 0.328804i
\(475\) 21.1732 + 4.44227i 0.971491 + 0.203825i
\(476\) −0.311197 + 0.0833851i −0.0142637 + 0.00382195i
\(477\) 1.47964 + 5.52207i 0.0677478 + 0.252838i
\(478\) −28.5030 + 7.63736i −1.30370 + 0.349325i
\(479\) 6.22958 23.2491i 0.284637 1.06228i −0.664468 0.747317i \(-0.731342\pi\)
0.949104 0.314961i \(-0.101992\pi\)
\(480\) 1.83248 + 0.991837i 0.0836411 + 0.0452709i
\(481\) 27.1770 + 2.63489i 1.23917 + 0.120141i
\(482\) −10.0938 + 10.0938i −0.459762 + 0.459762i
\(483\) 0.830632 0.479565i 0.0377951 0.0218210i
\(484\) 4.86972 8.43460i 0.221351 0.383391i
\(485\) 6.04120 25.3101i 0.274317 1.14927i
\(486\) 4.18060 + 15.6022i 0.189636 + 0.707730i
\(487\) 17.1136i 0.775493i −0.921766 0.387747i \(-0.873254\pi\)
0.921766 0.387747i \(-0.126746\pi\)
\(488\) 10.7659 2.88470i 0.487347 0.130584i
\(489\) −5.20062 5.20062i −0.235180 0.235180i
\(490\) −2.74852 2.60138i −0.124165 0.117518i
\(491\) 7.79909 0.351968 0.175984 0.984393i \(-0.443689\pi\)
0.175984 + 0.984393i \(0.443689\pi\)
\(492\) 0.869427 + 0.869427i 0.0391968 + 0.0391968i
\(493\) 0.241681 0.901966i 0.0108848 0.0406225i
\(494\) 18.7606 5.02689i 0.844079 0.226170i
\(495\) 6.19251 + 20.8050i 0.278333 + 0.935114i
\(496\) −1.74057 + 6.49588i −0.0781537 + 0.291674i
\(497\) −33.3760 8.94307i −1.49712 0.401151i
\(498\) 1.16547 + 2.01866i 0.0522260 + 0.0904581i
\(499\) −4.13389 15.4279i −0.185058 0.690647i −0.994618 0.103610i \(-0.966961\pi\)
0.809560 0.587038i \(-0.199706\pi\)
\(500\) −10.5242 + 3.77366i −0.470658 + 0.168763i
\(501\) 1.23465 4.60779i 0.0551603 0.205861i
\(502\) 3.49616 13.0478i 0.156041 0.582354i
\(503\) −0.643732 1.11498i −0.0287026 0.0497144i 0.851317 0.524651i \(-0.175804\pi\)
−0.880020 + 0.474937i \(0.842471\pi\)
\(504\) 3.47256 + 3.47256i 0.154680 + 0.154680i
\(505\) −2.85205 + 11.9489i −0.126914 + 0.531719i
\(506\) 1.76203 1.01731i 0.0783316 0.0452248i
\(507\) −4.71099 + 4.71099i −0.209223 + 0.209223i
\(508\) 0.432255 0.432255i 0.0191782 0.0191782i
\(509\) 3.59355 + 6.22421i 0.159281 + 0.275883i 0.934610 0.355675i \(-0.115749\pi\)
−0.775328 + 0.631558i \(0.782416\pi\)
\(510\) −0.138703 + 0.256262i −0.00614185 + 0.0113475i
\(511\) 9.90751 + 5.72010i 0.438282 + 0.253042i
\(512\) 1.00000 0.0441942
\(513\) −17.9186 10.3453i −0.791126 0.456757i
\(514\) 19.4835 + 11.2488i 0.859379 + 0.496163i
\(515\) −0.945106 + 3.95960i −0.0416463 + 0.174481i
\(516\) −8.84681 2.37050i −0.389459 0.104355i
\(517\) 21.5712 + 21.5712i 0.948700 + 0.948700i
\(518\) −13.1229 4.91629i −0.576587 0.216009i
\(519\) 12.2759i 0.538853i
\(520\) −6.89965 + 7.28991i −0.302570 + 0.319684i
\(521\) 33.3470 + 19.2529i 1.46096 + 0.843485i 0.999056 0.0434452i \(-0.0138334\pi\)
0.461903 + 0.886930i \(0.347167\pi\)
\(522\) −13.7487 + 3.68396i −0.601765 + 0.161243i
\(523\) 3.07870 5.33247i 0.134622 0.233173i −0.790831 0.612035i \(-0.790351\pi\)
0.925453 + 0.378862i \(0.123685\pi\)
\(524\) −1.86054 1.86054i −0.0812780 0.0812780i
\(525\) 10.7179 0.589996i 0.467765 0.0257495i
\(526\) −1.16953 + 1.16953i −0.0509938 + 0.0509938i
\(527\) −0.908410 0.243408i −0.0395710 0.0106030i
\(528\) −3.00075 3.00075i −0.130591 0.130591i
\(529\) −22.8004 −0.991322
\(530\) 5.99464 0.164871i 0.260390 0.00716156i
\(531\) 5.92959 + 22.1295i 0.257322 + 0.960340i
\(532\) −9.96823 −0.432177
\(533\) −5.12938 + 2.96145i −0.222178 + 0.128275i
\(534\) 14.2889 8.24971i 0.618342 0.357000i
\(535\) 0.0834207 + 3.03313i 0.00360659 + 0.131134i
\(536\) −8.53652 + 2.28735i −0.368721 + 0.0987986i
\(537\) 15.5219 + 8.96159i 0.669820 + 0.386721i
\(538\) −0.223489 + 0.129032i −0.00963530 + 0.00556294i
\(539\) 3.85370 + 6.67481i 0.165991 + 0.287504i
\(540\) 10.6887 0.293973i 0.459968 0.0126506i
\(541\) −6.46279 + 6.46279i −0.277857 + 0.277857i −0.832253 0.554396i \(-0.812949\pi\)
0.554396 + 0.832253i \(0.312949\pi\)
\(542\) −6.54357 + 11.3338i −0.281070 + 0.486828i
\(543\) 10.6256 + 2.84711i 0.455987 + 0.122181i
\(544\) 0.139844i 0.00599577i
\(545\) 13.3086 24.5885i 0.570077 1.05326i
\(546\) 8.34562 4.81834i 0.357159 0.206206i
\(547\) 26.1783 1.11930 0.559651 0.828728i \(-0.310935\pi\)
0.559651 + 0.828728i \(0.310935\pi\)
\(548\) 3.42584 + 12.7854i 0.146345 + 0.546166i
\(549\) 16.7999 16.7999i 0.717001 0.717001i
\(550\) 22.7359 1.25156i 0.969461 0.0533668i
\(551\) 14.4458 25.0209i 0.615412 1.06593i
\(552\) −0.107752 0.402137i −0.00458624 0.0171161i
\(553\) 10.2180 + 17.6981i 0.434514 + 0.752601i
\(554\) 13.2782 0.564135
\(555\) −11.3882 + 5.56366i −0.483400 + 0.236164i
\(556\) 11.8001 0.500434
\(557\) −4.33971 7.51659i −0.183879 0.318488i 0.759319 0.650719i \(-0.225532\pi\)
−0.943198 + 0.332230i \(0.892199\pi\)
\(558\) 3.71028 + 13.8470i 0.157069 + 0.586188i
\(559\) 22.0597 38.2085i 0.933025 1.61605i
\(560\) 4.38882 2.69743i 0.185462 0.113987i
\(561\) 0.419638 0.419638i 0.0177171 0.0177171i
\(562\) 5.13680 + 19.1708i 0.216683 + 0.808671i
\(563\) 39.0271 1.64479 0.822397 0.568913i \(-0.192636\pi\)
0.822397 + 0.568913i \(0.192636\pi\)
\(564\) 5.40590 3.12110i 0.227630 0.131422i
\(565\) −22.8998 + 6.81604i −0.963403 + 0.286753i
\(566\) 11.2912i 0.474604i
\(567\) 4.31467 + 1.15611i 0.181199 + 0.0485521i
\(568\) −7.49915 + 12.9889i −0.314657 + 0.545003i
\(569\) −15.1885 + 15.1885i −0.636737 + 0.636737i −0.949749 0.313012i \(-0.898662\pi\)
0.313012 + 0.949749i \(0.398662\pi\)
\(570\) −6.19742 + 6.54795i −0.259581 + 0.274264i
\(571\) 4.82748 + 8.36144i 0.202024 + 0.349915i 0.949180 0.314733i \(-0.101915\pi\)
−0.747157 + 0.664648i \(0.768582\pi\)
\(572\) 17.7036 10.2212i 0.740226 0.427370i
\(573\) −9.22111 5.32381i −0.385218 0.222405i
\(574\) 2.93625 0.786766i 0.122557 0.0328390i
\(575\) 1.99303 + 1.00890i 0.0831153 + 0.0420741i
\(576\) 1.84607 1.06583i 0.0769194 0.0444094i
\(577\) 21.2609 12.2750i 0.885102 0.511014i 0.0127650 0.999919i \(-0.495937\pi\)
0.872337 + 0.488904i \(0.162603\pi\)
\(578\) 16.9804 0.706293
\(579\) 1.48995 + 5.56056i 0.0619201 + 0.231089i
\(580\) 0.410493 + 14.9253i 0.0170448 + 0.619739i
\(581\) 5.76279 0.239081
\(582\) 7.66784 + 7.66784i 0.317842 + 0.317842i
\(583\) −11.7973 3.16109i −0.488596 0.130919i
\(584\) 3.51132 3.51132i 0.145300 0.145300i
\(585\) −4.96743 + 20.8115i −0.205378 + 0.860449i
\(586\) −11.4732 11.4732i −0.473955 0.473955i
\(587\) 7.85321 13.6022i 0.324137 0.561421i −0.657201 0.753716i \(-0.728260\pi\)
0.981337 + 0.192295i \(0.0615929\pi\)
\(588\) 1.52335 0.408181i 0.0628220 0.0168331i
\(589\) −25.1997 14.5490i −1.03833 0.599482i
\(590\) 24.0233 0.660717i 0.989024 0.0272013i
\(591\) 16.9251i 0.696206i
\(592\) −3.53553 + 4.94975i −0.145310 + 0.203433i
\(593\) 6.97951 + 6.97951i 0.286614 + 0.286614i 0.835740 0.549126i \(-0.185039\pi\)
−0.549126 + 0.835740i \(0.685039\pi\)
\(594\) −21.0352 5.63636i −0.863084 0.231263i
\(595\) 0.377219 + 0.613751i 0.0154645 + 0.0251613i
\(596\) 9.01881 + 5.20701i 0.369425 + 0.213287i
\(597\) −15.5632 8.98542i −0.636960 0.367749i
\(598\) 2.00547 0.0820098
\(599\) 10.6986 + 6.17684i 0.437133 + 0.252379i 0.702381 0.711801i \(-0.252120\pi\)
−0.265248 + 0.964180i \(0.585454\pi\)
\(600\) 0.956713 4.55998i 0.0390576 0.186160i
\(601\) −4.53978 7.86313i −0.185181 0.320744i 0.758456 0.651724i \(-0.225954\pi\)
−0.943638 + 0.330980i \(0.892621\pi\)
\(602\) −16.0114 + 16.0114i −0.652576 + 0.652576i
\(603\) −13.3210 + 13.3210i −0.542475 + 0.542475i
\(604\) 12.1808 7.03261i 0.495632 0.286153i
\(605\) −21.1830 5.05611i −0.861211 0.205560i
\(606\) −3.61998 3.61998i −0.147052 0.147052i
\(607\) 6.72134 + 11.6417i 0.272811 + 0.472522i 0.969580 0.244773i \(-0.0787134\pi\)
−0.696770 + 0.717295i \(0.745380\pi\)
\(608\) −1.11987 + 4.17940i −0.0454166 + 0.169497i
\(609\) 3.71017 13.8465i 0.150343 0.561090i
\(610\) −13.0499 21.2327i −0.528374 0.859686i
\(611\) 7.78252 + 29.0448i 0.314847 + 1.17502i
\(612\) 0.149050 + 0.258161i 0.00602497 + 0.0104356i
\(613\) −38.2185 10.2406i −1.54363 0.413614i −0.616193 0.787595i \(-0.711326\pi\)
−0.927437 + 0.373980i \(0.877993\pi\)
\(614\) −7.67635 + 28.6485i −0.309792 + 1.15616i
\(615\) 1.30870 2.41792i 0.0527720 0.0974998i
\(616\) −10.1342 + 2.71546i −0.408319 + 0.109409i
\(617\) −7.95284 + 29.6804i −0.320169 + 1.19489i 0.598910 + 0.800816i \(0.295601\pi\)
−0.919079 + 0.394072i \(0.871066\pi\)
\(618\) −1.19958 1.19958i −0.0482543 0.0482543i
\(619\) −29.6379 −1.19125 −0.595624 0.803264i \(-0.703095\pi\)
−0.595624 + 0.803264i \(0.703095\pi\)
\(620\) 15.0319 0.413426i 0.603697 0.0166036i
\(621\) −1.51068 1.51068i −0.0606215 0.0606215i
\(622\) 18.6619 5.00043i 0.748273 0.200499i
\(623\) 40.7915i 1.63428i
\(624\) −1.08262 4.04039i −0.0433395 0.161745i
\(625\) 14.8009 + 20.1478i 0.592037 + 0.805911i
\(626\) −15.5593 + 26.9495i −0.621875 + 1.07712i
\(627\) 15.9018 9.18090i 0.635056 0.366650i
\(628\) 6.82024 6.82024i 0.272157 0.272157i
\(629\) −0.692193 0.494424i −0.0275995 0.0197140i
\(630\) 5.22706 9.65735i 0.208251 0.384758i
\(631\) −3.07166 + 11.4636i −0.122281 + 0.456358i −0.999728 0.0233148i \(-0.992578\pi\)
0.877447 + 0.479673i \(0.159245\pi\)
\(632\) 8.56826 2.29586i 0.340827 0.0913243i
\(633\) −2.01284 7.51202i −0.0800031 0.298576i
\(634\) 6.23435 1.67049i 0.247598 0.0663436i
\(635\) −1.20212 0.650651i −0.0477047 0.0258203i
\(636\) −1.24956 + 2.16431i −0.0495485 + 0.0858205i
\(637\) 7.59701i 0.301005i
\(638\) 7.87040 29.3727i 0.311592 1.16288i
\(639\) 31.9712i 1.26476i
\(640\) −0.637899 2.14315i −0.0252152 0.0847154i
\(641\) −19.2498 33.3417i −0.760323 1.31692i −0.942684 0.333687i \(-0.891707\pi\)
0.182361 0.983232i \(-0.441626\pi\)
\(642\) −1.09508 0.632248i −0.0432196 0.0249528i
\(643\) 1.27314i 0.0502077i 0.999685 + 0.0251038i \(0.00799164\pi\)
−0.999685 + 0.0251038i \(0.992008\pi\)
\(644\) −0.994203 0.266396i −0.0391771 0.0104975i
\(645\) 0.563049 + 20.4722i 0.0221700 + 0.806091i
\(646\) −0.584464 0.156607i −0.0229954 0.00616161i
\(647\) 16.0230 27.7527i 0.629931 1.09107i −0.357634 0.933862i \(-0.616417\pi\)
0.987565 0.157211i \(-0.0502501\pi\)
\(648\) 0.969450 1.67914i 0.0380836 0.0659627i
\(649\) −47.2775 12.6680i −1.85580 0.497261i
\(650\) 20.0246 + 10.1367i 0.785431 + 0.397596i
\(651\) −13.9455 3.73667i −0.546565 0.146452i
\(652\) 7.89266i 0.309101i
\(653\) −8.28077 4.78091i −0.324052 0.187091i 0.329145 0.944279i \(-0.393239\pi\)
−0.653197 + 0.757188i \(0.726573\pi\)
\(654\) 5.82580 + 10.0906i 0.227807 + 0.394573i
\(655\) −2.80057 + 5.17425i −0.109427 + 0.202175i
\(656\) 1.31948i 0.0515169i
\(657\) 2.73967 10.2246i 0.106885 0.398899i
\(658\) 15.4326i 0.601625i
\(659\) −12.2701 + 21.2525i −0.477976 + 0.827879i −0.999681 0.0252471i \(-0.991963\pi\)
0.521705 + 0.853126i \(0.325296\pi\)
\(660\) −4.51688 + 8.34524i −0.175819 + 0.324838i
\(661\) −27.2044 + 7.28941i −1.05813 + 0.283525i −0.745607 0.666385i \(-0.767841\pi\)
−0.312522 + 0.949910i \(0.601174\pi\)
\(662\) −1.18219 4.41198i −0.0459470 0.171476i
\(663\) 0.565025 0.151398i 0.0219438 0.00587981i
\(664\) 0.647412 2.41618i 0.0251245 0.0937658i
\(665\) 6.35872 + 21.3634i 0.246581 + 0.828437i
\(666\) −1.25126 + 12.9058i −0.0484852 + 0.500090i
\(667\) 2.10946 2.10946i 0.0816784 0.0816784i
\(668\) −4.43336 + 2.55960i −0.171532 + 0.0990340i
\(669\) −3.32808 + 5.76440i −0.128671 + 0.222865i
\(670\) 10.3476 + 16.8359i 0.399762 + 0.650429i
\(671\) 13.1371 + 49.0283i 0.507152 + 1.89272i
\(672\) 2.14682i 0.0828152i
\(673\) −15.0748 + 4.03927i −0.581090 + 0.155703i −0.537378 0.843342i \(-0.680585\pi\)
−0.0437121 + 0.999044i \(0.513918\pi\)
\(674\) 14.5707 + 14.5707i 0.561242 + 0.561242i
\(675\) −7.44834 22.7199i −0.286687 0.874491i
\(676\) 7.14959 0.274984
\(677\) 14.8620 + 14.8620i 0.571191 + 0.571191i 0.932461 0.361270i \(-0.117657\pi\)
−0.361270 + 0.932461i \(0.617657\pi\)
\(678\) 2.57705 9.61769i 0.0989711 0.369365i
\(679\) 25.8960 6.93882i 0.993798 0.266287i
\(680\) 0.299707 0.0892064i 0.0114932 0.00342091i
\(681\) −0.489154 + 1.82555i −0.0187444 + 0.0699551i
\(682\) −29.5826 7.92664i −1.13278 0.303527i
\(683\) 3.48869 + 6.04259i 0.133491 + 0.231213i 0.925020 0.379918i \(-0.124048\pi\)
−0.791529 + 0.611132i \(0.790715\pi\)
\(684\) 2.38717 + 8.90902i 0.0912755 + 0.340645i
\(685\) 25.2157 15.4979i 0.963443 0.592144i
\(686\) 5.18305 19.3434i 0.197890 0.738534i
\(687\) 3.07734 11.4848i 0.117408 0.438173i
\(688\) 4.91435 + 8.51191i 0.187358 + 0.324513i
\(689\) −8.51256 8.51256i −0.324303 0.324303i
\(690\) −0.793103 + 0.487452i −0.0301929 + 0.0185570i
\(691\) 4.54164 2.62212i 0.172772 0.0997501i −0.411120 0.911581i \(-0.634862\pi\)
0.583892 + 0.811831i \(0.301529\pi\)
\(692\) −9.31520 + 9.31520i −0.354111 + 0.354111i
\(693\) −15.8142 + 15.8142i −0.600733 + 0.600733i
\(694\) −5.22077 9.04265i −0.198178 0.343254i
\(695\) −7.52725 25.2893i −0.285525 0.959277i
\(696\) −5.38865 3.11114i −0.204256 0.117927i
\(697\) 0.184521 0.00698923
\(698\) 23.6675 + 13.6644i 0.895829 + 0.517207i
\(699\) 23.8848 + 13.7899i 0.903404 + 0.521581i
\(700\) −8.58061 7.68521i −0.324317 0.290474i
\(701\) −5.99448 1.60622i −0.226408 0.0606659i 0.143831 0.989602i \(-0.454058\pi\)
−0.370240 + 0.928936i \(0.620724\pi\)
\(702\) −15.1783 15.1783i −0.572867 0.572867i
\(703\) −16.7276 20.3195i −0.630895 0.766363i
\(704\) 4.55406i 0.171638i
\(705\) −10.1374 9.59471i −0.381797 0.361358i
\(706\) −19.5329 11.2773i −0.735131 0.424428i
\(707\) −12.2255 + 3.27581i −0.459787 + 0.123200i
\(708\) −5.00759 + 8.67340i −0.188197 + 0.325966i
\(709\) 3.56161 + 3.56161i 0.133759 + 0.133759i 0.770816 0.637057i \(-0.219849\pi\)
−0.637057 + 0.770816i \(0.719849\pi\)
\(710\) 32.6209 + 7.78618i 1.22424 + 0.292210i
\(711\) 13.3706 13.3706i 0.501436 0.501436i
\(712\) −17.1027 4.58267i −0.640952 0.171743i
\(713\) −2.12453 2.12453i −0.0795642 0.0795642i
\(714\) −0.300220 −0.0112354
\(715\) −33.1987 31.4214i −1.24156 1.17509i
\(716\) −4.97811 18.5786i −0.186041 0.694313i
\(717\) −27.4976 −1.02691
\(718\) −13.0528 + 7.53604i −0.487126 + 0.281242i
\(719\) −19.5407 + 11.2818i −0.728746 + 0.420742i −0.817963 0.575271i \(-0.804897\pi\)
0.0892174 + 0.996012i \(0.471563\pi\)
\(720\) −3.46183 3.27650i −0.129015 0.122108i
\(721\) −4.05126 + 1.08553i −0.150877 + 0.0404273i
\(722\) 0.241226 + 0.139272i 0.00897750 + 0.00518316i
\(723\) −11.5199 + 6.65102i −0.428430 + 0.247354i
\(724\) −5.90244 10.2233i −0.219363 0.379947i
\(725\) 31.7253 10.4006i 1.17825 0.386268i
\(726\) 6.41750 6.41750i 0.238176 0.238176i
\(727\) 20.5695 35.6275i 0.762881 1.32135i −0.178478 0.983944i \(-0.557117\pi\)
0.941360 0.337405i \(-0.109549\pi\)
\(728\) −9.98907 2.67656i −0.370219 0.0992000i
\(729\) 9.23511i 0.342041i
\(730\) −9.76515 5.28541i −0.361425 0.195622i
\(731\) −1.19034 + 0.687243i −0.0440263 + 0.0254186i
\(732\) 10.3861 0.383880
\(733\) 7.38064 + 27.5449i 0.272610 + 1.01740i 0.957426 + 0.288679i \(0.0932160\pi\)
−0.684816 + 0.728716i \(0.740117\pi\)
\(734\) −11.7869 + 11.7869i −0.435061 + 0.435061i
\(735\) −1.84654 3.00439i −0.0681106 0.110819i
\(736\) −0.223385 + 0.386913i −0.00823406 + 0.0142618i
\(737\) −10.4167 38.8758i −0.383706 1.43201i
\(738\) −1.40633 2.43584i −0.0517678 0.0896644i
\(739\) 15.4656 0.568911 0.284456 0.958689i \(-0.408187\pi\)
0.284456 + 0.958689i \(0.408187\pi\)
\(740\) 12.8634 + 4.41973i 0.472866 + 0.162473i
\(741\) 18.0988 0.664876
\(742\) 3.08930 + 5.35082i 0.113412 + 0.196435i
\(743\) −2.80913 10.4838i −0.103057 0.384614i 0.895060 0.445945i \(-0.147132\pi\)
−0.998118 + 0.0613307i \(0.980466\pi\)
\(744\) −3.13336 + 5.42715i −0.114875 + 0.198969i
\(745\) 5.40631 22.6502i 0.198072 0.829839i
\(746\) 18.9789 18.9789i 0.694868 0.694868i
\(747\) −1.38006 5.15045i −0.0504937 0.188445i
\(748\) −0.636858 −0.0232858
\(749\) −2.70738 + 1.56311i −0.0989255 + 0.0571146i
\(750\) −10.3830 + 0.858427i −0.379133 + 0.0313453i
\(751\) 15.4254i 0.562881i 0.959579 + 0.281440i \(0.0908121\pi\)
−0.959579 + 0.281440i \(0.909188\pi\)
\(752\) −6.47045 1.73375i −0.235953 0.0632234i
\(753\) 6.29378 10.9011i 0.229358 0.397260i
\(754\) 21.1944 21.1944i 0.771853 0.771853i
\(755\) −22.8421 21.6193i −0.831309 0.786805i
\(756\) 5.50836 + 9.54075i 0.200337 + 0.346994i
\(757\) 28.3377 16.3608i 1.02995 0.594642i 0.112980 0.993597i \(-0.463960\pi\)
0.916970 + 0.398955i \(0.130627\pi\)
\(758\) 30.0369 + 17.3418i 1.09099 + 0.629883i
\(759\) 1.83135 0.490710i 0.0664739 0.0178116i
\(760\) 9.67143 0.265995i 0.350820 0.00964865i
\(761\) −6.47522 + 3.73847i −0.234727 + 0.135519i −0.612751 0.790276i \(-0.709937\pi\)
0.378024 + 0.925796i \(0.376604\pi\)
\(762\) 0.493324 0.284821i 0.0178712 0.0103180i
\(763\) 28.8063 1.04286
\(764\) 2.95735 + 11.0370i 0.106993 + 0.399303i
\(765\) 0.458199 0.484116i 0.0165662 0.0175033i
\(766\) −20.6879 −0.747484
\(767\) −34.1138 34.1138i −1.23178 1.23178i
\(768\) 0.900100 + 0.241181i 0.0324795 + 0.008702