Properties

Label 171.2.x.a.110.15
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.15
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30761 - 1.09721i) q^{2} +(0.387860 + 1.68807i) q^{3} +(0.158664 - 0.899827i) q^{4} +(1.05557 - 2.90015i) q^{5} +(2.35933 + 1.78176i) q^{6} +(-0.421554 - 0.730152i) q^{7} +(0.927128 + 1.60583i) q^{8} +(-2.69913 + 1.30947i) q^{9} +O(q^{10})\) \(q+(1.30761 - 1.09721i) q^{2} +(0.387860 + 1.68807i) q^{3} +(0.158664 - 0.899827i) q^{4} +(1.05557 - 2.90015i) q^{5} +(2.35933 + 1.78176i) q^{6} +(-0.421554 - 0.730152i) q^{7} +(0.927128 + 1.60583i) q^{8} +(-2.69913 + 1.30947i) q^{9} +(-1.80181 - 4.95044i) q^{10} +5.25332i q^{11} +(1.58051 - 0.0811718i) q^{12} +(-2.06528 - 5.67432i) q^{13} +(-1.35236 - 0.492218i) q^{14} +(5.30506 + 0.657017i) q^{15} +(4.69147 + 1.70755i) q^{16} +(0.911301 - 2.50378i) q^{17} +(-2.09264 + 4.67378i) q^{18} +(-3.91070 + 1.92521i) q^{19} +(-2.44215 - 1.40998i) q^{20} +(1.06904 - 0.994807i) q^{21} +(5.76401 + 6.86928i) q^{22} +(-5.64507 - 0.995378i) q^{23} +(-2.35115 + 2.18789i) q^{24} +(-3.46643 - 2.90868i) q^{25} +(-8.92651 - 5.15373i) q^{26} +(-3.25735 - 4.04842i) q^{27} +(-0.723896 + 0.263476i) q^{28} +(-0.889964 + 5.04724i) q^{29} +(7.65781 - 4.96165i) q^{30} +4.15289i q^{31} +(4.52328 - 1.64634i) q^{32} +(-8.86796 + 2.03755i) q^{33} +(-1.55555 - 4.27385i) q^{34} +(-2.56253 + 0.451843i) q^{35} +(0.750038 + 2.63651i) q^{36} -4.72641i q^{37} +(-3.00129 + 6.80828i) q^{38} +(8.77759 - 5.68718i) q^{39} +(5.63581 - 0.993745i) q^{40} +(-2.20913 + 1.85368i) q^{41} +(0.306371 - 2.47378i) q^{42} +(-0.757486 - 4.29592i) q^{43} +(4.72708 + 0.833512i) q^{44} +(0.948531 + 9.21012i) q^{45} +(-8.47367 + 4.89227i) q^{46} +(5.55641 + 0.979745i) q^{47} +(-1.06283 + 8.58179i) q^{48} +(3.14459 - 5.44658i) q^{49} -7.72417 q^{50} +(4.58000 + 0.567221i) q^{51} +(-5.43359 + 0.958089i) q^{52} +(9.57018 + 8.03034i) q^{53} +(-8.70130 - 1.71974i) q^{54} +(15.2354 + 5.54525i) q^{55} +(0.781668 - 1.35389i) q^{56} +(-4.76669 - 5.85480i) q^{57} +(4.37417 + 7.57628i) q^{58} +(-0.518580 - 2.94101i) q^{59} +(1.43292 - 4.66939i) q^{60} +(6.29738 - 2.29206i) q^{61} +(4.55661 + 5.43035i) q^{62} +(2.09394 + 1.41877i) q^{63} +(-0.884270 + 1.53160i) q^{64} -18.6365 q^{65} +(-9.36017 + 12.3943i) q^{66} +(-1.11799 + 1.33237i) q^{67} +(-2.10838 - 1.21727i) q^{68} +(-0.509232 - 9.91531i) q^{69} +(-2.85501 + 3.40247i) q^{70} +(5.22326 - 4.38284i) q^{71} +(-4.60522 - 3.12031i) q^{72} +(-0.376772 - 2.13678i) q^{73} +(-5.18587 - 6.18028i) q^{74} +(3.56556 - 6.97973i) q^{75} +(1.11187 + 3.82441i) q^{76} +(3.83573 - 2.21456i) q^{77} +(5.23759 - 17.0675i) q^{78} +(1.27977 - 3.51615i) q^{79} +(9.90433 - 11.8035i) q^{80} +(5.57060 - 7.06883i) q^{81} +(-0.854794 + 4.84778i) q^{82} +(7.69241 - 4.44121i) q^{83} +(-0.725535 - 1.11979i) q^{84} +(-6.29940 - 5.28582i) q^{85} +(-5.70403 - 4.78625i) q^{86} +(-8.86525 + 0.455303i) q^{87} +(-8.43596 + 4.87050i) q^{88} +(-1.29317 + 7.33393i) q^{89} +(11.3458 + 11.0025i) q^{90} +(-3.27249 + 3.90000i) q^{91} +(-1.79133 + 4.92165i) q^{92} +(-7.01036 + 1.61074i) q^{93} +(8.34058 - 4.81544i) q^{94} +(1.45540 + 13.3738i) q^{95} +(4.53352 + 6.99704i) q^{96} +(1.81856 + 2.16727i) q^{97} +(-1.86417 - 10.5723i) q^{98} +(-6.87905 - 14.1794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30761 1.09721i 0.924617 0.775846i −0.0502260 0.998738i \(-0.515994\pi\)
0.974843 + 0.222892i \(0.0715497\pi\)
\(3\) 0.387860 + 1.68807i 0.223931 + 0.974605i
\(4\) 0.158664 0.899827i 0.0793318 0.449913i
\(5\) 1.05557 2.90015i 0.472065 1.29699i −0.444025 0.896014i \(-0.646450\pi\)
0.916090 0.400973i \(-0.131328\pi\)
\(6\) 2.35933 + 1.78176i 0.963194 + 0.727401i
\(7\) −0.421554 0.730152i −0.159332 0.275972i 0.775296 0.631598i \(-0.217601\pi\)
−0.934628 + 0.355627i \(0.884267\pi\)
\(8\) 0.927128 + 1.60583i 0.327789 + 0.567748i
\(9\) −2.69913 + 1.30947i −0.899710 + 0.436488i
\(10\) −1.80181 4.95044i −0.569783 1.56547i
\(11\) 5.25332i 1.58394i 0.610562 + 0.791969i \(0.290944\pi\)
−0.610562 + 0.791969i \(0.709056\pi\)
\(12\) 1.58051 0.0811718i 0.456253 0.0234323i
\(13\) −2.06528 5.67432i −0.572807 1.57377i −0.800048 0.599936i \(-0.795193\pi\)
0.227241 0.973838i \(-0.427029\pi\)
\(14\) −1.35236 0.492218i −0.361433 0.131551i
\(15\) 5.30506 + 0.657017i 1.36976 + 0.169641i
\(16\) 4.69147 + 1.70755i 1.17287 + 0.426888i
\(17\) 0.911301 2.50378i 0.221023 0.607256i −0.778776 0.627302i \(-0.784159\pi\)
0.999799 + 0.0200463i \(0.00638136\pi\)
\(18\) −2.09264 + 4.67378i −0.493239 + 1.10162i
\(19\) −3.91070 + 1.92521i −0.897176 + 0.441674i
\(20\) −2.44215 1.40998i −0.546082 0.315281i
\(21\) 1.06904 0.994807i 0.233284 0.217085i
\(22\) 5.76401 + 6.86928i 1.22889 + 1.46454i
\(23\) −5.64507 0.995378i −1.17708 0.207551i −0.449311 0.893375i \(-0.648331\pi\)
−0.727767 + 0.685825i \(0.759442\pi\)
\(24\) −2.35115 + 2.18789i −0.479927 + 0.446601i
\(25\) −3.46643 2.90868i −0.693287 0.581737i
\(26\) −8.92651 5.15373i −1.75063 1.01073i
\(27\) −3.25735 4.04842i −0.626877 0.779118i
\(28\) −0.723896 + 0.263476i −0.136803 + 0.0497924i
\(29\) −0.889964 + 5.04724i −0.165262 + 0.937249i 0.783531 + 0.621352i \(0.213416\pi\)
−0.948794 + 0.315896i \(0.897695\pi\)
\(30\) 7.65781 4.96165i 1.39812 0.905870i
\(31\) 4.15289i 0.745882i 0.927855 + 0.372941i \(0.121651\pi\)
−0.927855 + 0.372941i \(0.878349\pi\)
\(32\) 4.52328 1.64634i 0.799610 0.291034i
\(33\) −8.86796 + 2.03755i −1.54371 + 0.354693i
\(34\) −1.55555 4.27385i −0.266775 0.732959i
\(35\) −2.56253 + 0.451843i −0.433147 + 0.0763755i
\(36\) 0.750038 + 2.63651i 0.125006 + 0.439419i
\(37\) 4.72641i 0.777017i −0.921445 0.388508i \(-0.872990\pi\)
0.921445 0.388508i \(-0.127010\pi\)
\(38\) −3.00129 + 6.80828i −0.486873 + 1.10445i
\(39\) 8.77759 5.68718i 1.40554 0.910677i
\(40\) 5.63581 0.993745i 0.891099 0.157125i
\(41\) −2.20913 + 1.85368i −0.345009 + 0.289497i −0.798782 0.601620i \(-0.794522\pi\)
0.453773 + 0.891117i \(0.350078\pi\)
\(42\) 0.306371 2.47378i 0.0472741 0.381712i
\(43\) −0.757486 4.29592i −0.115516 0.655121i −0.986494 0.163800i \(-0.947625\pi\)
0.870978 0.491322i \(-0.163486\pi\)
\(44\) 4.72708 + 0.833512i 0.712634 + 0.125657i
\(45\) 0.948531 + 9.21012i 0.141399 + 1.37296i
\(46\) −8.47367 + 4.89227i −1.24937 + 0.721326i
\(47\) 5.55641 + 0.979745i 0.810485 + 0.142910i 0.563508 0.826111i \(-0.309451\pi\)
0.246978 + 0.969021i \(0.420563\pi\)
\(48\) −1.06283 + 8.58179i −0.153407 + 1.23868i
\(49\) 3.14459 5.44658i 0.449226 0.778083i
\(50\) −7.72417 −1.09236
\(51\) 4.58000 + 0.567221i 0.641328 + 0.0794268i
\(52\) −5.43359 + 0.958089i −0.753504 + 0.132863i
\(53\) 9.57018 + 8.03034i 1.31457 + 1.10305i 0.987427 + 0.158075i \(0.0505289\pi\)
0.327139 + 0.944976i \(0.393916\pi\)
\(54\) −8.70130 1.71974i −1.18410 0.234027i
\(55\) 15.2354 + 5.54525i 2.05435 + 0.747721i
\(56\) 0.781668 1.35389i 0.104455 0.180921i
\(57\) −4.76669 5.85480i −0.631363 0.775487i
\(58\) 4.37417 + 7.57628i 0.574356 + 0.994814i
\(59\) −0.518580 2.94101i −0.0675133 0.382887i −0.999777 0.0211081i \(-0.993281\pi\)
0.932264 0.361779i \(-0.117831\pi\)
\(60\) 1.43292 4.66939i 0.184989 0.602815i
\(61\) 6.29738 2.29206i 0.806297 0.293468i 0.0942040 0.995553i \(-0.469969\pi\)
0.712094 + 0.702085i \(0.247747\pi\)
\(62\) 4.55661 + 5.43035i 0.578689 + 0.689655i
\(63\) 2.09394 + 1.41877i 0.263811 + 0.178748i
\(64\) −0.884270 + 1.53160i −0.110534 + 0.191450i
\(65\) −18.6365 −2.31157
\(66\) −9.36017 + 12.3943i −1.15216 + 1.52564i
\(67\) −1.11799 + 1.33237i −0.136584 + 0.162774i −0.830001 0.557762i \(-0.811660\pi\)
0.693417 + 0.720537i \(0.256105\pi\)
\(68\) −2.10838 1.21727i −0.255678 0.147616i
\(69\) −0.509232 9.91531i −0.0613044 1.19366i
\(70\) −2.85501 + 3.40247i −0.341239 + 0.406673i
\(71\) 5.22326 4.38284i 0.619887 0.520147i −0.277881 0.960615i \(-0.589632\pi\)
0.897768 + 0.440469i \(0.145188\pi\)
\(72\) −4.60522 3.12031i −0.542730 0.367732i
\(73\) −0.376772 2.13678i −0.0440978 0.250091i 0.954788 0.297288i \(-0.0960822\pi\)
−0.998886 + 0.0471971i \(0.984971\pi\)
\(74\) −5.18587 6.18028i −0.602845 0.718443i
\(75\) 3.56556 6.97973i 0.411715 0.805949i
\(76\) 1.11187 + 3.82441i 0.127540 + 0.438690i
\(77\) 3.83573 2.21456i 0.437122 0.252372i
\(78\) 5.23759 17.0675i 0.593040 1.93251i
\(79\) 1.27977 3.51615i 0.143986 0.395598i −0.846646 0.532156i \(-0.821382\pi\)
0.990632 + 0.136558i \(0.0436041\pi\)
\(80\) 9.90433 11.8035i 1.10734 1.31967i
\(81\) 5.57060 7.06883i 0.618956 0.785426i
\(82\) −0.854794 + 4.84778i −0.0943962 + 0.535347i
\(83\) 7.69241 4.44121i 0.844351 0.487486i −0.0143896 0.999896i \(-0.504581\pi\)
0.858741 + 0.512410i \(0.171247\pi\)
\(84\) −0.725535 1.11979i −0.0791624 0.122179i
\(85\) −6.29940 5.28582i −0.683266 0.573328i
\(86\) −5.70403 4.78625i −0.615081 0.516114i
\(87\) −8.86525 + 0.455303i −0.950455 + 0.0488136i
\(88\) −8.43596 + 4.87050i −0.899276 + 0.519197i
\(89\) −1.29317 + 7.33393i −0.137076 + 0.777395i 0.836316 + 0.548248i \(0.184705\pi\)
−0.973392 + 0.229147i \(0.926406\pi\)
\(90\) 11.3458 + 11.0025i 1.19595 + 1.15976i
\(91\) −3.27249 + 3.90000i −0.343050 + 0.408831i
\(92\) −1.79133 + 4.92165i −0.186760 + 0.513118i
\(93\) −7.01036 + 1.61074i −0.726940 + 0.167026i
\(94\) 8.34058 4.81544i 0.860265 0.496674i
\(95\) 1.45540 + 13.3738i 0.149321 + 1.37212i
\(96\) 4.53352 + 6.99704i 0.462701 + 0.714132i
\(97\) 1.81856 + 2.16727i 0.184647 + 0.220053i 0.850425 0.526096i \(-0.176345\pi\)
−0.665778 + 0.746150i \(0.731900\pi\)
\(98\) −1.86417 10.5723i −0.188310 1.06796i
\(99\) −6.87905 14.1794i −0.691370 1.42508i
\(100\) −3.16731 + 2.65769i −0.316731 + 0.265769i
\(101\) 0.671009 0.799678i 0.0667679 0.0795709i −0.731627 0.681706i \(-0.761239\pi\)
0.798395 + 0.602135i \(0.205683\pi\)
\(102\) 6.61120 4.28353i 0.654606 0.424133i
\(103\) −3.33129 1.92332i −0.328242 0.189511i 0.326818 0.945087i \(-0.394023\pi\)
−0.655060 + 0.755577i \(0.727357\pi\)
\(104\) 7.19723 8.57733i 0.705747 0.841076i
\(105\) −1.75664 4.15047i −0.171431 0.405044i
\(106\) 21.3250 2.07127
\(107\) −6.95920 + 12.0537i −0.672771 + 1.16527i 0.304344 + 0.952562i \(0.401563\pi\)
−0.977115 + 0.212712i \(0.931770\pi\)
\(108\) −4.15970 + 2.28871i −0.400267 + 0.220231i
\(109\) −1.45183 1.73023i −0.139060 0.165726i 0.692019 0.721879i \(-0.256721\pi\)
−0.831080 + 0.556153i \(0.812277\pi\)
\(110\) 26.0063 9.46551i 2.47960 0.902501i
\(111\) 7.97849 1.83318i 0.757284 0.173998i
\(112\) −0.730930 4.14531i −0.0690664 0.391695i
\(113\) 6.79531 + 11.7698i 0.639249 + 1.10721i 0.985598 + 0.169106i \(0.0540880\pi\)
−0.346349 + 0.938106i \(0.612579\pi\)
\(114\) −12.6569 2.42571i −1.18543 0.227188i
\(115\) −8.84551 + 15.3209i −0.824848 + 1.42868i
\(116\) 4.40043 + 1.60163i 0.408570 + 0.148707i
\(117\) 13.0048 + 12.6113i 1.20229 + 1.16592i
\(118\) −3.90501 3.27669i −0.359485 0.301644i
\(119\) −2.21230 + 0.390089i −0.202801 + 0.0357594i
\(120\) 3.86341 + 9.12818i 0.352679 + 0.833285i
\(121\) −16.5974 −1.50886
\(122\) 5.71962 9.90668i 0.517830 0.896908i
\(123\) −3.98597 3.01019i −0.359403 0.271420i
\(124\) 3.73688 + 0.658914i 0.335582 + 0.0591722i
\(125\) 1.26929 0.732825i 0.113529 0.0655459i
\(126\) 4.29473 0.442306i 0.382605 0.0394037i
\(127\) 4.48127 + 0.790169i 0.397649 + 0.0701162i 0.368897 0.929470i \(-0.379736\pi\)
0.0287519 + 0.999587i \(0.490847\pi\)
\(128\) 2.19595 + 12.4538i 0.194096 + 1.10077i
\(129\) 6.95799 2.94490i 0.612617 0.259284i
\(130\) −24.3691 + 20.4481i −2.13731 + 1.79342i
\(131\) −0.0561722 + 0.00990467i −0.00490779 + 0.000865375i −0.176102 0.984372i \(-0.556349\pi\)
0.171194 + 0.985237i \(0.445238\pi\)
\(132\) 0.426422 + 8.30291i 0.0371153 + 0.722675i
\(133\) 3.05427 + 2.04382i 0.264839 + 0.177222i
\(134\) 2.96888i 0.256472i
\(135\) −15.1794 + 5.17342i −1.30643 + 0.445257i
\(136\) 4.86554 0.857927i 0.417217 0.0735666i
\(137\) −1.14762 3.15307i −0.0980481 0.269385i 0.880965 0.473181i \(-0.156894\pi\)
−0.979013 + 0.203796i \(0.934672\pi\)
\(138\) −11.5451 12.4066i −0.982782 1.05612i
\(139\) −0.560012 + 0.203828i −0.0474996 + 0.0172884i −0.365661 0.930748i \(-0.619157\pi\)
0.318161 + 0.948037i \(0.396935\pi\)
\(140\) 2.37752i 0.200938i
\(141\) 0.501234 + 9.75958i 0.0422115 + 0.821905i
\(142\) 2.02107 11.4620i 0.169604 0.961874i
\(143\) 29.8091 10.8496i 2.49276 0.907290i
\(144\) −14.8989 + 1.53440i −1.24157 + 0.127867i
\(145\) 13.6983 + 7.90874i 1.13759 + 0.656785i
\(146\) −2.83717 2.38067i −0.234806 0.197025i
\(147\) 10.4138 + 3.19576i 0.858919 + 0.263581i
\(148\) −4.25295 0.749909i −0.349590 0.0616422i
\(149\) −6.09518 7.26395i −0.499336 0.595086i 0.456230 0.889862i \(-0.349199\pi\)
−0.955566 + 0.294776i \(0.904755\pi\)
\(150\) −2.99590 13.0389i −0.244614 1.06462i
\(151\) −8.17957 4.72248i −0.665644 0.384310i 0.128780 0.991673i \(-0.458894\pi\)
−0.794424 + 0.607363i \(0.792227\pi\)
\(152\) −6.71729 4.49501i −0.544844 0.364593i
\(153\) 0.818893 + 7.95134i 0.0662035 + 0.642828i
\(154\) 2.58578 7.10437i 0.208368 0.572487i
\(155\) 12.0440 + 4.38367i 0.967399 + 0.352105i
\(156\) −3.72479 8.80066i −0.298222 0.704616i
\(157\) −17.1957 6.25873i −1.37237 0.499501i −0.452512 0.891758i \(-0.649472\pi\)
−0.919855 + 0.392257i \(0.871694\pi\)
\(158\) −2.18452 6.00192i −0.173791 0.477487i
\(159\) −9.84385 + 19.2697i −0.780668 + 1.52819i
\(160\) 14.8560i 1.17447i
\(161\) 1.65292 + 4.54136i 0.130268 + 0.357910i
\(162\) −0.471856 15.3554i −0.0370725 1.20643i
\(163\) −9.42971 16.3327i −0.738592 1.27928i −0.953129 0.302563i \(-0.902158\pi\)
0.214538 0.976716i \(-0.431175\pi\)
\(164\) 1.31748 + 2.28195i 0.102878 + 0.178190i
\(165\) −3.45152 + 27.8692i −0.268701 + 2.16961i
\(166\) 5.18569 14.2476i 0.402487 1.10582i
\(167\) 2.55052 14.4647i 0.197365 1.11932i −0.711644 0.702540i \(-0.752049\pi\)
0.909010 0.416775i \(-0.136840\pi\)
\(168\) 2.58863 + 0.794388i 0.199717 + 0.0612884i
\(169\) −17.9740 + 15.0819i −1.38261 + 1.16015i
\(170\) −14.0368 −1.07657
\(171\) 8.03448 10.3173i 0.614412 0.788985i
\(172\) −3.98577 −0.303912
\(173\) −12.5938 + 10.5674i −0.957485 + 0.803426i −0.980542 0.196308i \(-0.937105\pi\)
0.0230568 + 0.999734i \(0.492660\pi\)
\(174\) −11.0927 + 10.3224i −0.840935 + 0.782540i
\(175\) −0.662494 + 3.75719i −0.0500798 + 0.284017i
\(176\) −8.97034 + 24.6458i −0.676164 + 1.85775i
\(177\) 4.76348 2.01610i 0.358045 0.151539i
\(178\) 6.35592 + 11.0088i 0.476396 + 0.825142i
\(179\) −0.582498 1.00892i −0.0435380 0.0754100i 0.843435 0.537231i \(-0.180530\pi\)
−0.886973 + 0.461821i \(0.847196\pi\)
\(180\) 8.43801 + 0.607798i 0.628932 + 0.0453026i
\(181\) 4.35224 + 11.9577i 0.323500 + 0.888808i 0.989716 + 0.143049i \(0.0456908\pi\)
−0.666216 + 0.745759i \(0.732087\pi\)
\(182\) 8.69028i 0.644167i
\(183\) 6.31165 + 9.74140i 0.466571 + 0.720105i
\(184\) −3.63529 9.98788i −0.267997 0.736316i
\(185\) −13.7073 4.98905i −1.00778 0.366802i
\(186\) −7.39946 + 9.79806i −0.542555 + 0.718429i
\(187\) 13.1532 + 4.78736i 0.961855 + 0.350087i
\(188\) 1.76320 4.84435i 0.128595 0.353311i
\(189\) −1.58282 + 4.08498i −0.115133 + 0.297139i
\(190\) 16.5770 + 15.8908i 1.20262 + 1.15284i
\(191\) −2.43204 1.40414i −0.175976 0.101600i 0.409425 0.912344i \(-0.365729\pi\)
−0.585401 + 0.810744i \(0.699063\pi\)
\(192\) −2.92842 0.898660i −0.211340 0.0648552i
\(193\) −3.88688 4.63220i −0.279784 0.333433i 0.607791 0.794097i \(-0.292056\pi\)
−0.887575 + 0.460664i \(0.847611\pi\)
\(194\) 4.75592 + 0.838597i 0.341455 + 0.0602077i
\(195\) −7.22833 31.4595i −0.517631 2.25286i
\(196\) −4.40205 3.69376i −0.314432 0.263840i
\(197\) −2.17478 1.25561i −0.154946 0.0894584i 0.420522 0.907282i \(-0.361847\pi\)
−0.575468 + 0.817824i \(0.695180\pi\)
\(198\) −24.5529 10.9933i −1.74490 0.781260i
\(199\) −16.1606 + 5.88197i −1.14559 + 0.416962i −0.843930 0.536453i \(-0.819764\pi\)
−0.301663 + 0.953415i \(0.597542\pi\)
\(200\) 1.45703 8.26323i 0.103028 0.584299i
\(201\) −2.68274 1.37047i −0.189226 0.0966652i
\(202\) 1.78190i 0.125374i
\(203\) 4.06042 1.47787i 0.284986 0.103726i
\(204\) 1.23708 4.03121i 0.0866129 0.282241i
\(205\) 3.04407 + 8.36351i 0.212607 + 0.584133i
\(206\) −6.46631 + 1.14018i −0.450529 + 0.0794404i
\(207\) 16.5402 4.70537i 1.14962 0.327046i
\(208\) 30.1475i 2.09035i
\(209\) −10.1138 20.5442i −0.699584 1.42107i
\(210\) −6.85094 3.49977i −0.472760 0.241507i
\(211\) 15.2539 2.68967i 1.05012 0.185165i 0.378152 0.925744i \(-0.376560\pi\)
0.671969 + 0.740579i \(0.265449\pi\)
\(212\) 8.74435 7.33738i 0.600565 0.503933i
\(213\) 9.42441 + 7.11728i 0.645750 + 0.487668i
\(214\) 4.12556 + 23.3972i 0.282017 + 1.59940i
\(215\) −13.2584 2.33781i −0.904215 0.159438i
\(216\) 3.48110 8.98416i 0.236859 0.611294i
\(217\) 3.03225 1.75067i 0.205842 0.118843i
\(218\) −3.79685 0.669487i −0.257155 0.0453434i
\(219\) 3.46089 1.46479i 0.233865 0.0989811i
\(220\) 7.40707 12.8294i 0.499385 0.864960i
\(221\) −16.0894 −1.08229
\(222\) 8.42133 11.1512i 0.565202 0.748418i
\(223\) 1.28090 0.225857i 0.0857752 0.0151245i −0.130596 0.991436i \(-0.541689\pi\)
0.216371 + 0.976311i \(0.430578\pi\)
\(224\) −3.10888 2.60866i −0.207721 0.174298i
\(225\) 13.1652 + 3.31174i 0.877678 + 0.220783i
\(226\) 21.7996 + 7.93440i 1.45009 + 0.527788i
\(227\) −11.2122 + 19.4200i −0.744177 + 1.28895i 0.206402 + 0.978467i \(0.433825\pi\)
−0.950578 + 0.310484i \(0.899509\pi\)
\(228\) −6.02461 + 3.36025i −0.398989 + 0.222538i
\(229\) 12.6808 + 21.9638i 0.837970 + 1.45141i 0.891589 + 0.452845i \(0.149591\pi\)
−0.0536196 + 0.998561i \(0.517076\pi\)
\(230\) 5.24380 + 29.7391i 0.345766 + 1.96094i
\(231\) 5.22604 + 5.61602i 0.343848 + 0.369507i
\(232\) −8.93013 + 3.25030i −0.586292 + 0.213393i
\(233\) −0.0698519 0.0832462i −0.00457615 0.00545364i 0.763752 0.645510i \(-0.223355\pi\)
−0.768328 + 0.640057i \(0.778911\pi\)
\(234\) 30.8424 + 2.22161i 2.01623 + 0.145231i
\(235\) 8.70658 15.0802i 0.567955 0.983726i
\(236\) −2.72868 −0.177622
\(237\) 6.43186 + 0.796569i 0.417794 + 0.0517427i
\(238\) −2.46481 + 2.93745i −0.159770 + 0.190406i
\(239\) 6.50725 + 3.75696i 0.420919 + 0.243018i 0.695470 0.718555i \(-0.255196\pi\)
−0.274552 + 0.961572i \(0.588529\pi\)
\(240\) 23.7666 + 12.1410i 1.53413 + 0.783701i
\(241\) 0.596283 0.710622i 0.0384100 0.0457752i −0.746497 0.665388i \(-0.768266\pi\)
0.784907 + 0.619613i \(0.212710\pi\)
\(242\) −21.7029 + 18.2109i −1.39511 + 1.17064i
\(243\) 14.0933 + 6.66182i 0.904083 + 0.427356i
\(244\) −1.06329 6.03022i −0.0680702 0.386045i
\(245\) −12.4766 14.8690i −0.797100 0.949947i
\(246\) −8.51490 + 0.437310i −0.542890 + 0.0278818i
\(247\) 19.0010 + 18.2144i 1.20900 + 1.15896i
\(248\) −6.66885 + 3.85026i −0.423473 + 0.244492i
\(249\) 10.4806 + 11.2627i 0.664183 + 0.713746i
\(250\) 0.855668 2.35093i 0.0541172 0.148686i
\(251\) −4.49211 + 5.35349i −0.283539 + 0.337909i −0.888950 0.458004i \(-0.848564\pi\)
0.605411 + 0.795913i \(0.293009\pi\)
\(252\) 1.60887 1.65907i 0.101350 0.104512i
\(253\) 5.22904 29.6554i 0.328747 1.86442i
\(254\) 6.72672 3.88367i 0.422072 0.243683i
\(255\) 6.47953 12.6840i 0.405764 0.794300i
\(256\) 13.8264 + 11.6017i 0.864149 + 0.725107i
\(257\) 12.9368 + 10.8553i 0.806974 + 0.677132i 0.949884 0.312604i \(-0.101201\pi\)
−0.142909 + 0.989736i \(0.545646\pi\)
\(258\) 5.86714 11.4852i 0.365272 0.715035i
\(259\) −3.45100 + 1.99243i −0.214435 + 0.123804i
\(260\) −2.95693 + 16.7696i −0.183381 + 1.04000i
\(261\) −4.20705 14.7885i −0.260410 0.915387i
\(262\) −0.0625836 + 0.0745842i −0.00386643 + 0.00460783i
\(263\) 6.61100 18.1636i 0.407652 1.12001i −0.550770 0.834657i \(-0.685666\pi\)
0.958421 0.285356i \(-0.0921120\pi\)
\(264\) −11.4937 12.3514i −0.707388 0.760175i
\(265\) 33.3912 19.2784i 2.05120 1.18426i
\(266\) 6.23629 0.678661i 0.382371 0.0416114i
\(267\) −12.8817 + 0.661581i −0.788348 + 0.0404881i
\(268\) 1.02151 + 1.21739i 0.0623989 + 0.0743641i
\(269\) −0.767052 4.35017i −0.0467680 0.265235i 0.952454 0.304684i \(-0.0985508\pi\)
−0.999222 + 0.0394492i \(0.987440\pi\)
\(270\) −14.1723 + 23.4198i −0.862500 + 1.42528i
\(271\) −9.87758 + 8.28828i −0.600020 + 0.503477i −0.891452 0.453115i \(-0.850313\pi\)
0.291432 + 0.956592i \(0.405868\pi\)
\(272\) 8.55068 10.1903i 0.518461 0.617878i
\(273\) −7.85273 4.01152i −0.475269 0.242789i
\(274\) −4.96022 2.86379i −0.299658 0.173008i
\(275\) 15.2803 18.2103i 0.921434 1.09812i
\(276\) −9.00286 1.11498i −0.541908 0.0671139i
\(277\) −15.1580 −0.910756 −0.455378 0.890298i \(-0.650496\pi\)
−0.455378 + 0.890298i \(0.650496\pi\)
\(278\) −0.508633 + 0.880978i −0.0305058 + 0.0528376i
\(279\) −5.43807 11.2092i −0.325569 0.671077i
\(280\) −3.10138 3.69608i −0.185343 0.220883i
\(281\) −12.0009 + 4.36795i −0.715911 + 0.260570i −0.674189 0.738559i \(-0.735507\pi\)
−0.0417220 + 0.999129i \(0.513284\pi\)
\(282\) 11.3637 + 12.2117i 0.676701 + 0.727198i
\(283\) −1.01381 5.74958i −0.0602645 0.341777i 0.939735 0.341902i \(-0.111071\pi\)
−1.00000 0.000125315i \(0.999960\pi\)
\(284\) −3.11505 5.39542i −0.184844 0.320160i
\(285\) −22.0114 + 7.64397i −1.30384 + 0.452790i
\(286\) 27.0742 46.8939i 1.60093 2.77289i
\(287\) 2.28474 + 0.831577i 0.134864 + 0.0490864i
\(288\) −10.0531 + 10.3668i −0.592384 + 0.610867i
\(289\) 7.58431 + 6.36399i 0.446136 + 0.374353i
\(290\) 26.5896 4.68846i 1.56139 0.275316i
\(291\) −2.95315 + 3.91045i −0.173117 + 0.229234i
\(292\) −1.98251 −0.116018
\(293\) −1.26404 + 2.18938i −0.0738459 + 0.127905i −0.900584 0.434682i \(-0.856861\pi\)
0.826738 + 0.562587i \(0.190194\pi\)
\(294\) 17.1236 7.24740i 0.998670 0.422677i
\(295\) −9.07678 1.60048i −0.528471 0.0931836i
\(296\) 7.58982 4.38198i 0.441149 0.254698i
\(297\) 21.2677 17.1119i 1.23407 0.992933i
\(298\) −15.9402 2.81068i −0.923390 0.162819i
\(299\) 6.01058 + 34.0877i 0.347601 + 1.97134i
\(300\) −5.71482 4.31581i −0.329945 0.249174i
\(301\) −2.81735 + 2.36404i −0.162390 + 0.136261i
\(302\) −15.8772 + 2.79958i −0.913631 + 0.161098i
\(303\) 1.61017 + 0.822545i 0.0925016 + 0.0472540i
\(304\) −21.6343 + 2.35434i −1.24081 + 0.135031i
\(305\) 20.6828i 1.18429i
\(306\) 9.79510 + 9.49873i 0.559948 + 0.543006i
\(307\) −19.7596 + 3.48415i −1.12774 + 0.198851i −0.706237 0.707975i \(-0.749609\pi\)
−0.421504 + 0.906827i \(0.638498\pi\)
\(308\) −1.38413 3.80286i −0.0788680 0.216688i
\(309\) 1.95462 6.36942i 0.111194 0.362343i
\(310\) 20.5587 7.48274i 1.16765 0.424991i
\(311\) 22.2149i 1.25969i −0.776720 0.629846i \(-0.783118\pi\)
0.776720 0.629846i \(-0.216882\pi\)
\(312\) 17.2706 + 8.82260i 0.977755 + 0.499481i
\(313\) 4.53572 25.7234i 0.256374 1.45397i −0.536146 0.844125i \(-0.680120\pi\)
0.792520 0.609845i \(-0.208768\pi\)
\(314\) −29.3524 + 10.6834i −1.65645 + 0.602899i
\(315\) 6.32493 4.57513i 0.356369 0.257779i
\(316\) −2.96087 1.70946i −0.166562 0.0961646i
\(317\) 9.65795 + 8.10398i 0.542444 + 0.455165i 0.872373 0.488841i \(-0.162580\pi\)
−0.329929 + 0.944006i \(0.607025\pi\)
\(318\) 8.27111 + 35.9980i 0.463821 + 2.01867i
\(319\) −26.5148 4.67527i −1.48454 0.261765i
\(320\) 3.50847 + 4.18123i 0.196129 + 0.233738i
\(321\) −23.0466 7.07244i −1.28634 0.394745i
\(322\) 7.14421 + 4.12471i 0.398131 + 0.229861i
\(323\) 1.25649 + 11.5460i 0.0699127 + 0.642435i
\(324\) −5.47687 6.13414i −0.304271 0.340786i
\(325\) −9.34564 + 25.6769i −0.518403 + 1.42430i
\(326\) −30.2508 11.0104i −1.67544 0.609809i
\(327\) 2.35763 3.12187i 0.130377 0.172640i
\(328\) −5.02486 1.82890i −0.277451 0.100984i
\(329\) −1.62696 4.47004i −0.0896973 0.246441i
\(330\) 26.0652 + 40.2290i 1.43484 + 2.21453i
\(331\) 1.46474i 0.0805094i 0.999189 + 0.0402547i \(0.0128169\pi\)
−0.999189 + 0.0402547i \(0.987183\pi\)
\(332\) −2.77582 7.62649i −0.152343 0.418558i
\(333\) 6.18907 + 12.7572i 0.339159 + 0.699090i
\(334\) −12.5358 21.7126i −0.685929 1.18806i
\(335\) 2.68395 + 4.64874i 0.146640 + 0.253988i
\(336\) 6.71405 2.84166i 0.366282 0.155025i
\(337\) 3.75439 10.3151i 0.204515 0.561899i −0.794453 0.607326i \(-0.792242\pi\)
0.998968 + 0.0454263i \(0.0144646\pi\)
\(338\) −6.95478 + 39.4425i −0.378290 + 2.14539i
\(339\) −17.2326 + 16.0360i −0.935946 + 0.870954i
\(340\) −5.75581 + 4.82970i −0.312153 + 0.261927i
\(341\) −21.8165 −1.18143
\(342\) −0.814353 22.3065i −0.0440352 1.20620i
\(343\) −11.2042 −0.604970
\(344\) 6.19624 5.19926i 0.334079 0.280325i
\(345\) −29.2934 8.98945i −1.57711 0.483975i
\(346\) −4.87298 + 27.6360i −0.261973 + 1.48572i
\(347\) −8.48361 + 23.3085i −0.455424 + 1.25127i 0.473433 + 0.880830i \(0.343015\pi\)
−0.928857 + 0.370438i \(0.879208\pi\)
\(348\) −0.996900 + 8.04943i −0.0534394 + 0.431495i
\(349\) −8.37756 14.5104i −0.448440 0.776721i 0.549844 0.835267i \(-0.314687\pi\)
−0.998285 + 0.0585456i \(0.981354\pi\)
\(350\) 3.25615 + 5.63982i 0.174049 + 0.301461i
\(351\) −16.2447 + 26.8444i −0.867077 + 1.43285i
\(352\) 8.64875 + 23.7622i 0.460980 + 1.26653i
\(353\) 25.2115i 1.34187i −0.741516 0.670936i \(-0.765893\pi\)
0.741516 0.670936i \(-0.234107\pi\)
\(354\) 4.01668 7.86281i 0.213484 0.417904i
\(355\) −7.19738 19.7746i −0.381997 1.04953i
\(356\) 6.39408 + 2.32726i 0.338886 + 0.123344i
\(357\) −1.51656 3.58321i −0.0802648 0.189644i
\(358\) −1.86867 0.680142i −0.0987625 0.0359466i
\(359\) 4.28165 11.7637i 0.225977 0.620866i −0.773947 0.633251i \(-0.781720\pi\)
0.999923 + 0.0123848i \(0.00394232\pi\)
\(360\) −13.9105 + 10.0621i −0.733148 + 0.530321i
\(361\) 11.5871 15.0579i 0.609848 0.792518i
\(362\) 18.8111 + 10.8606i 0.988692 + 0.570821i
\(363\) −6.43747 28.0175i −0.337880 1.47054i
\(364\) 2.99010 + 3.56346i 0.156724 + 0.186776i
\(365\) −6.59469 1.16282i −0.345182 0.0608649i
\(366\) 18.9415 + 5.81270i 0.990090 + 0.303834i
\(367\) 21.1256 + 17.7265i 1.10275 + 0.925316i 0.997607 0.0691408i \(-0.0220258\pi\)
0.105142 + 0.994457i \(0.466470\pi\)
\(368\) −24.7840 14.3090i −1.29195 0.745910i
\(369\) 3.53540 7.89612i 0.184046 0.411055i
\(370\) −23.3978 + 8.51610i −1.21639 + 0.442731i
\(371\) 1.82902 10.3729i 0.0949582 0.538535i
\(372\) 0.337098 + 6.56367i 0.0174777 + 0.340311i
\(373\) 38.2882i 1.98249i 0.132051 + 0.991243i \(0.457844\pi\)
−0.132051 + 0.991243i \(0.542156\pi\)
\(374\) 22.4519 8.17183i 1.16096 0.422555i
\(375\) 1.72936 + 1.85841i 0.0893040 + 0.0959680i
\(376\) 3.57819 + 9.83101i 0.184531 + 0.506996i
\(377\) 30.4777 5.37404i 1.56968 0.276777i
\(378\) 2.41239 + 7.07823i 0.124080 + 0.364065i
\(379\) 36.6769i 1.88397i 0.335661 + 0.941983i \(0.391040\pi\)
−0.335661 + 0.941983i \(0.608960\pi\)
\(380\) 12.2650 + 0.812332i 0.629183 + 0.0416717i
\(381\) 0.404248 + 7.87115i 0.0207103 + 0.403251i
\(382\) −4.72078 + 0.832402i −0.241536 + 0.0425894i
\(383\) 21.7757 18.2720i 1.11269 0.933656i 0.114476 0.993426i \(-0.463481\pi\)
0.998212 + 0.0597700i \(0.0190367\pi\)
\(384\) −20.1712 + 8.53725i −1.02936 + 0.435665i
\(385\) −2.37368 13.4618i −0.120974 0.686077i
\(386\) −10.1650 1.79237i −0.517386 0.0912291i
\(387\) 7.66991 + 10.6033i 0.389883 + 0.538998i
\(388\) 2.23871 1.29252i 0.113653 0.0656178i
\(389\) −3.26304 0.575363i −0.165443 0.0291720i 0.0903131 0.995913i \(-0.471213\pi\)
−0.255756 + 0.966741i \(0.582324\pi\)
\(390\) −43.9696 33.2057i −2.22649 1.68144i
\(391\) −7.63657 + 13.2269i −0.386198 + 0.668914i
\(392\) 11.6617 0.589006
\(393\) −0.0385067 0.0909807i −0.00194240 0.00458937i
\(394\) −4.22142 + 0.744350i −0.212672 + 0.0374998i
\(395\) −8.84648 7.42308i −0.445115 0.373496i
\(396\) −13.8505 + 3.94019i −0.696012 + 0.198002i
\(397\) 29.4627 + 10.7236i 1.47869 + 0.538200i 0.950445 0.310892i \(-0.100628\pi\)
0.528246 + 0.849091i \(0.322850\pi\)
\(398\) −14.6779 + 25.4229i −0.735737 + 1.27433i
\(399\) −2.26548 + 5.94852i −0.113416 + 0.297798i
\(400\) −11.2959 19.5651i −0.564796 0.978255i
\(401\) −6.37617 36.1611i −0.318411 1.80580i −0.552423 0.833564i \(-0.686297\pi\)
0.234012 0.972234i \(-0.424815\pi\)
\(402\) −5.01166 + 1.15151i −0.249959 + 0.0574321i
\(403\) 23.5649 8.57691i 1.17385 0.427246i
\(404\) −0.613106 0.730672i −0.0305032 0.0363523i
\(405\) −14.6205 23.6172i −0.726500 1.17355i
\(406\) 3.68789 6.38761i 0.183027 0.317012i
\(407\) 24.8294 1.23075
\(408\) 3.33539 + 7.88060i 0.165126 + 0.390148i
\(409\) 24.7951 29.5496i 1.22604 1.46113i 0.382592 0.923917i \(-0.375031\pi\)
0.843445 0.537216i \(-0.180524\pi\)
\(410\) 13.1570 + 7.59619i 0.649778 + 0.375149i
\(411\) 4.87747 3.16021i 0.240588 0.155882i
\(412\) −2.25921 + 2.69242i −0.111303 + 0.132646i
\(413\) −1.92878 + 1.61844i −0.0949089 + 0.0796380i
\(414\) 16.4653 24.3009i 0.809224 1.19432i
\(415\) −4.76033 26.9972i −0.233675 1.32524i
\(416\) −18.6837 22.2664i −0.916044 1.09170i
\(417\) −0.561281 0.866280i −0.0274860 0.0424219i
\(418\) −35.7661 15.7667i −1.74938 0.771176i
\(419\) −20.5941 + 11.8900i −1.00609 + 0.580866i −0.910044 0.414511i \(-0.863953\pi\)
−0.0960454 + 0.995377i \(0.530619\pi\)
\(420\) −4.01342 + 0.922146i −0.195835 + 0.0449961i
\(421\) 4.84630 13.3151i 0.236194 0.648939i −0.763800 0.645454i \(-0.776668\pi\)
0.999994 0.00348518i \(-0.00110937\pi\)
\(422\) 16.9949 20.2538i 0.827301 0.985939i
\(423\) −16.2804 + 4.63147i −0.791580 + 0.225190i
\(424\) −4.02259 + 22.8133i −0.195354 + 1.10791i
\(425\) −10.4417 + 6.02850i −0.506495 + 0.292425i
\(426\) 20.1326 1.03397i 0.975426 0.0500961i
\(427\) −4.32824 3.63182i −0.209458 0.175756i
\(428\) 9.74206 + 8.17456i 0.470900 + 0.395132i
\(429\) 29.8766 + 46.1115i 1.44246 + 2.22629i
\(430\) −19.9018 + 11.4903i −0.959752 + 0.554113i
\(431\) −2.00314 + 11.3604i −0.0964878 + 0.547209i 0.897794 + 0.440417i \(0.145169\pi\)
−0.994281 + 0.106793i \(0.965942\pi\)
\(432\) −8.36884 24.5551i −0.402646 1.18141i
\(433\) −7.68929 + 9.16374i −0.369524 + 0.440381i −0.918479 0.395471i \(-0.870581\pi\)
0.548955 + 0.835852i \(0.315026\pi\)
\(434\) 2.04413 5.61620i 0.0981213 0.269586i
\(435\) −8.03744 + 26.1912i −0.385366 + 1.25577i
\(436\) −1.78726 + 1.03187i −0.0855940 + 0.0494177i
\(437\) 23.9925 6.97534i 1.14772 0.333676i
\(438\) 2.91830 5.71269i 0.139442 0.272963i
\(439\) −18.0905 21.5595i −0.863415 1.02898i −0.999268 0.0382485i \(-0.987822\pi\)
0.135854 0.990729i \(-0.456622\pi\)
\(440\) 5.22046 + 29.6067i 0.248876 + 1.41145i
\(441\) −1.35553 + 18.8188i −0.0645492 + 0.896131i
\(442\) −21.0385 + 17.6534i −1.00070 + 0.839688i
\(443\) 17.7886 21.1997i 0.845163 1.00723i −0.154652 0.987969i \(-0.549426\pi\)
0.999815 0.0192567i \(-0.00612999\pi\)
\(444\) −0.383651 7.47011i −0.0182073 0.354516i
\(445\) 19.9045 + 11.4919i 0.943563 + 0.544766i
\(446\) 1.42710 1.70075i 0.0675750 0.0805327i
\(447\) 9.89794 13.1064i 0.468157 0.619914i
\(448\) 1.49107 0.0704464
\(449\) −15.5597 + 26.9501i −0.734306 + 1.27185i 0.220722 + 0.975337i \(0.429159\pi\)
−0.955027 + 0.296518i \(0.904175\pi\)
\(450\) 20.8485 10.1145i 0.982810 0.476804i
\(451\) −9.73800 11.6053i −0.458545 0.546472i
\(452\) 11.6690 4.24716i 0.548862 0.199769i
\(453\) 4.79933 15.6393i 0.225492 0.734799i
\(454\) 6.64679 + 37.6958i 0.311949 + 1.76915i
\(455\) 7.85626 + 13.6074i 0.368307 + 0.637927i
\(456\) 4.98250 13.0827i 0.233327 0.612651i
\(457\) −2.38710 + 4.13458i −0.111664 + 0.193407i −0.916441 0.400169i \(-0.868951\pi\)
0.804777 + 0.593577i \(0.202285\pi\)
\(458\) 40.6804 + 14.8064i 1.90087 + 0.691860i
\(459\) −13.1048 + 4.46635i −0.611678 + 0.208471i
\(460\) 12.3827 + 10.3903i 0.577345 + 0.484450i
\(461\) 1.86616 0.329055i 0.0869158 0.0153256i −0.130021 0.991511i \(-0.541505\pi\)
0.216937 + 0.976186i \(0.430393\pi\)
\(462\) 12.9956 + 1.60947i 0.604609 + 0.0748791i
\(463\) 30.6339 1.42368 0.711839 0.702343i \(-0.247863\pi\)
0.711839 + 0.702343i \(0.247863\pi\)
\(464\) −12.7937 + 22.1593i −0.593931 + 1.02872i
\(465\) −2.72852 + 22.0314i −0.126532 + 1.02168i
\(466\) −0.182677 0.0322110i −0.00846237 0.00149214i
\(467\) −34.1973 + 19.7438i −1.58246 + 0.913636i −0.587965 + 0.808886i \(0.700071\pi\)
−0.994499 + 0.104749i \(0.966596\pi\)
\(468\) 13.4114 9.70111i 0.619942 0.448434i
\(469\) 1.44412 + 0.254638i 0.0666834 + 0.0117581i
\(470\) −5.16144 29.2720i −0.238079 1.35022i
\(471\) 3.89562 31.4550i 0.179501 1.44937i
\(472\) 4.24198 3.55945i 0.195253 0.163837i
\(473\) 22.5679 3.97932i 1.03767 0.182969i
\(474\) 9.28435 6.01552i 0.426444 0.276302i
\(475\) 19.1560 + 4.70136i 0.878938 + 0.215713i
\(476\) 2.05258i 0.0940799i
\(477\) −36.3466 9.14310i −1.66420 0.418634i
\(478\) 12.6311 2.22720i 0.577733 0.101870i
\(479\) 2.01165 + 5.52697i 0.0919147 + 0.252534i 0.977128 0.212652i \(-0.0682100\pi\)
−0.885213 + 0.465185i \(0.845988\pi\)
\(480\) 25.0779 5.76205i 1.14465 0.263000i
\(481\) −26.8192 + 9.76138i −1.22285 + 0.445081i
\(482\) 1.58346i 0.0721247i
\(483\) −7.02502 + 4.55165i −0.319649 + 0.207107i
\(484\) −2.63341 + 14.9348i −0.119700 + 0.678855i
\(485\) 8.20504 2.98639i 0.372572 0.135605i
\(486\) 25.7379 6.75226i 1.16749 0.306289i
\(487\) −13.3900 7.73070i −0.606757 0.350312i 0.164938 0.986304i \(-0.447258\pi\)
−0.771695 + 0.635992i \(0.780591\pi\)
\(488\) 9.51915 + 7.98751i 0.430912 + 0.361578i
\(489\) 23.9133 22.2528i 1.08140 1.00631i
\(490\) −32.6289 5.75336i −1.47402 0.259910i
\(491\) −13.9315 16.6030i −0.628721 0.749281i 0.353822 0.935313i \(-0.384882\pi\)
−0.982544 + 0.186032i \(0.940437\pi\)
\(492\) −3.34108 + 3.10908i −0.150628 + 0.140168i
\(493\) 11.8261 + 6.82783i 0.532623 + 0.307510i
\(494\) 44.8309 + 2.96922i 2.01704 + 0.133592i
\(495\) −48.3837 + 4.98294i −2.17469 + 0.223967i
\(496\) −7.09129 + 19.4832i −0.318408 + 0.874820i
\(497\) −5.40202 1.96617i −0.242314 0.0881950i
\(498\) 26.0621 + 3.22772i 1.16787 + 0.144638i
\(499\) −4.11397 1.49736i −0.184167 0.0670311i 0.248291 0.968686i \(-0.420131\pi\)
−0.432457 + 0.901654i \(0.642353\pi\)
\(500\) −0.458025 1.25841i −0.0204835 0.0562780i
\(501\) 25.4067 1.30484i 1.13509 0.0582959i
\(502\) 11.9290i 0.532419i
\(503\) −7.08844 19.4753i −0.316058 0.868362i −0.991401 0.130858i \(-0.958227\pi\)
0.675343 0.737503i \(-0.263995\pi\)
\(504\) −0.336953 + 4.67789i −0.0150091 + 0.208370i
\(505\) −1.61089 2.79014i −0.0716837 0.124160i
\(506\) −25.7007 44.5149i −1.14254 1.97893i
\(507\) −32.4307 24.4915i −1.44030 1.08771i
\(508\) 1.42203 3.90700i 0.0630924 0.173345i
\(509\) −4.92642 + 27.9391i −0.218360 + 1.23838i 0.656621 + 0.754221i \(0.271985\pi\)
−0.874980 + 0.484158i \(0.839126\pi\)
\(510\) −5.44431 23.6950i −0.241078 1.04923i
\(511\) −1.40134 + 1.17587i −0.0619918 + 0.0520173i
\(512\) 5.51707 0.243822
\(513\) 20.5326 + 9.56105i 0.906535 + 0.422131i
\(514\) 28.8267 1.27149
\(515\) −9.09433 + 7.63105i −0.400744 + 0.336264i
\(516\) −1.54592 6.72824i −0.0680553 0.296194i
\(517\) −5.14692 + 29.1896i −0.226361 + 1.28376i
\(518\) −2.32642 + 6.39179i −0.102217 + 0.280839i
\(519\) −22.7231 17.1604i −0.997433 0.753258i
\(520\) −17.2784 29.9270i −0.757707 1.31239i
\(521\) 8.19213 + 14.1892i 0.358904 + 0.621639i 0.987778 0.155868i \(-0.0498174\pi\)
−0.628874 + 0.777507i \(0.716484\pi\)
\(522\) −21.7273 14.7215i −0.950979 0.644344i
\(523\) −5.96067 16.3768i −0.260642 0.716108i −0.999125 0.0418354i \(-0.986679\pi\)
0.738482 0.674273i \(-0.235543\pi\)
\(524\) 0.0521167i 0.00227673i
\(525\) −6.59934 + 0.338930i −0.288019 + 0.0147921i
\(526\) −11.2847 31.0045i −0.492036 1.35186i
\(527\) 10.3979 + 3.78454i 0.452941 + 0.164857i
\(528\) −45.0829 5.58340i −1.96198 0.242986i
\(529\) 9.26309 + 3.37149i 0.402743 + 0.146587i
\(530\) 22.5100 61.8458i 0.977773 2.68641i
\(531\) 5.25087 + 7.25911i 0.227868 + 0.315019i
\(532\) 2.32369 2.42403i 0.100745 0.105095i
\(533\) 15.0809 + 8.70696i 0.653226 + 0.377140i
\(534\) −16.1183 + 14.9991i −0.697508 + 0.649073i
\(535\) 27.6116 + 32.9062i 1.19375 + 1.42266i
\(536\) −3.17608 0.560028i −0.137186 0.0241895i
\(537\) 1.47719 1.37461i 0.0637454 0.0593190i
\(538\) −5.77606 4.84669i −0.249024 0.208956i
\(539\) 28.6127 + 16.5195i 1.23243 + 0.711546i
\(540\) 2.24676 + 14.4796i 0.0966852 + 0.623105i
\(541\) 37.3634 13.5992i 1.60638 0.584673i 0.625658 0.780098i \(-0.284831\pi\)
0.980719 + 0.195424i \(0.0626084\pi\)
\(542\) −3.82199 + 21.6756i −0.164169 + 0.931047i
\(543\) −18.4973 + 11.9848i −0.793795 + 0.514316i
\(544\) 12.8256i 0.549893i
\(545\) −6.55043 + 2.38416i −0.280589 + 0.102126i
\(546\) −14.6698 + 3.37061i −0.627808 + 0.144249i
\(547\) 14.0818 + 38.6893i 0.602093 + 1.65424i 0.747026 + 0.664794i \(0.231481\pi\)
−0.144934 + 0.989441i \(0.546297\pi\)
\(548\) −3.01930 + 0.532384i −0.128978 + 0.0227423i
\(549\) −13.9961 + 14.4328i −0.597338 + 0.615976i
\(550\) 40.5776i 1.73023i
\(551\) −6.23663 21.4516i −0.265689 0.913869i
\(552\) 15.4502 10.0105i 0.657605 0.426075i
\(553\) −3.10682 + 0.547816i −0.132115 + 0.0232955i
\(554\) −19.8207 + 16.6315i −0.842101 + 0.706607i
\(555\) 3.10533 25.0739i 0.131814 1.06433i
\(556\) 0.0945560 + 0.536254i 0.00401007 + 0.0227422i
\(557\) −12.0628 2.12699i −0.511115 0.0901234i −0.0878581 0.996133i \(-0.528002\pi\)
−0.423257 + 0.906010i \(0.639113\pi\)
\(558\) −19.4097 8.69050i −0.821679 0.367898i
\(559\) −22.8120 + 13.1705i −0.964845 + 0.557054i
\(560\) −12.7936 2.25585i −0.540627 0.0953272i
\(561\) −2.97979 + 24.0602i −0.125807 + 1.01582i
\(562\) −10.8998 + 18.8790i −0.459781 + 0.796364i
\(563\) −9.31383 −0.392531 −0.196266 0.980551i \(-0.562881\pi\)
−0.196266 + 0.980551i \(0.562881\pi\)
\(564\) 8.86146 + 1.09747i 0.373135 + 0.0462117i
\(565\) 41.3072 7.28357i 1.73781 0.306422i
\(566\) −7.63417 6.40583i −0.320888 0.269257i
\(567\) −7.50963 1.08749i −0.315375 0.0456705i
\(568\) 11.8807 + 4.32423i 0.498504 + 0.181441i
\(569\) 5.75004 9.95937i 0.241054 0.417518i −0.719961 0.694015i \(-0.755840\pi\)
0.961015 + 0.276497i \(0.0891735\pi\)
\(570\) −20.3952 + 34.1465i −0.854259 + 1.43024i
\(571\) 1.97798 + 3.42596i 0.0827759 + 0.143372i 0.904441 0.426598i \(-0.140288\pi\)
−0.821665 + 0.569970i \(0.806955\pi\)
\(572\) −5.03315 28.5444i −0.210447 1.19350i
\(573\) 1.42699 4.65005i 0.0596132 0.194259i
\(574\) 3.89996 1.41947i 0.162781 0.0592474i
\(575\) 16.6730 + 19.8701i 0.695313 + 0.828642i
\(576\) 0.381182 5.29191i 0.0158826 0.220496i
\(577\) −7.74244 + 13.4103i −0.322322 + 0.558278i −0.980967 0.194176i \(-0.937797\pi\)
0.658645 + 0.752454i \(0.271130\pi\)
\(578\) 16.8999 0.702945
\(579\) 6.31190 8.35795i 0.262313 0.347345i
\(580\) 9.28992 11.0713i 0.385743 0.459711i
\(581\) −6.48552 3.74442i −0.269065 0.155345i
\(582\) 0.429023 + 8.35356i 0.0177836 + 0.346266i
\(583\) −42.1860 + 50.2753i −1.74716 + 2.08219i
\(584\) 3.08199 2.58610i 0.127534 0.107014i
\(585\) 50.3022 24.4038i 2.07974 1.00897i
\(586\) 0.749348 + 4.24976i 0.0309553 + 0.175556i
\(587\) 25.1223 + 29.9396i 1.03691 + 1.23574i 0.971290 + 0.237897i \(0.0764580\pi\)
0.0656198 + 0.997845i \(0.479098\pi\)
\(588\) 4.52792 8.86360i 0.186728 0.365529i
\(589\) −7.99521 16.2407i −0.329437 0.669187i
\(590\) −13.6249 + 7.86635i −0.560929 + 0.323853i
\(591\) 1.27604 4.15816i 0.0524893 0.171044i
\(592\) 8.07060 22.1738i 0.331699 0.911337i
\(593\) 15.7935 18.8220i 0.648562 0.772927i −0.337134 0.941457i \(-0.609458\pi\)
0.985697 + 0.168530i \(0.0539020\pi\)
\(594\) 9.03434 45.7108i 0.370683 1.87553i
\(595\) −1.20392 + 6.82778i −0.0493560 + 0.279912i
\(596\) −7.50338 + 4.33208i −0.307350 + 0.177449i
\(597\) −16.1972 24.9987i −0.662907 1.02313i
\(598\) 45.2609 + 37.9784i 1.85086 + 1.55305i
\(599\) −9.83133 8.24946i −0.401697 0.337064i 0.419452 0.907777i \(-0.362222\pi\)
−0.821149 + 0.570714i \(0.806667\pi\)
\(600\) 14.5140 0.745412i 0.592532 0.0304313i
\(601\) 35.6324 20.5724i 1.45348 0.839165i 0.454799 0.890594i \(-0.349711\pi\)
0.998677 + 0.0514293i \(0.0163777\pi\)
\(602\) −1.09014 + 6.18247i −0.0444306 + 0.251979i
\(603\) 1.27291 5.06020i 0.0518368 0.206067i
\(604\) −5.54721 + 6.61091i −0.225713 + 0.268994i
\(605\) −17.5197 + 48.1350i −0.712278 + 1.95697i
\(606\) 3.00797 0.691128i 0.122190 0.0280752i
\(607\) 4.17295 2.40925i 0.169375 0.0977886i −0.412916 0.910769i \(-0.635490\pi\)
0.582291 + 0.812980i \(0.302156\pi\)
\(608\) −14.5196 + 15.1466i −0.588848 + 0.614276i
\(609\) 4.06962 + 6.28105i 0.164909 + 0.254521i
\(610\) −22.6934 27.0450i −0.918830 1.09502i
\(611\) −5.91618 33.5523i −0.239343 1.35738i
\(612\) 7.28476 + 0.524728i 0.294469 + 0.0212109i
\(613\) −12.9157 + 10.8376i −0.521661 + 0.437725i −0.865210 0.501409i \(-0.832815\pi\)
0.343549 + 0.939135i \(0.388371\pi\)
\(614\) −22.0149 + 26.2364i −0.888451 + 1.05881i
\(615\) −12.9375 + 8.38246i −0.521690 + 0.338013i
\(616\) 7.11242 + 4.10636i 0.286568 + 0.165450i
\(617\) −28.5518 + 34.0267i −1.14945 + 1.36986i −0.231663 + 0.972796i \(0.574417\pi\)
−0.917789 + 0.397067i \(0.870028\pi\)
\(618\) −4.43273 10.4733i −0.178310 0.421299i
\(619\) −3.18483 −0.128009 −0.0640046 0.997950i \(-0.520387\pi\)
−0.0640046 + 0.997950i \(0.520387\pi\)
\(620\) 5.85549 10.1420i 0.235162 0.407313i
\(621\) 14.3582 + 26.0959i 0.576176 + 1.04719i
\(622\) −24.3745 29.0484i −0.977327 1.16473i
\(623\) 5.90002 2.14743i 0.236379 0.0860351i
\(624\) 50.8909 11.6930i 2.03727 0.468094i
\(625\) −4.71436 26.7365i −0.188575 1.06946i
\(626\) −22.2930 38.6127i −0.891009 1.54327i
\(627\) 30.7572 25.0410i 1.22832 1.00004i
\(628\) −8.36010 + 14.4801i −0.333605 + 0.577820i
\(629\) −11.8339 4.30718i −0.471848 0.171739i
\(630\) 3.25063 12.9223i 0.129508 0.514835i
\(631\) 11.1833 + 9.38394i 0.445202 + 0.373569i 0.837652 0.546205i \(-0.183928\pi\)
−0.392450 + 0.919773i \(0.628372\pi\)
\(632\) 6.83286 1.20482i 0.271797 0.0479251i
\(633\) 10.4567 + 24.7063i 0.415617 + 0.981989i
\(634\) 21.5206 0.854691
\(635\) 7.02190 12.1623i 0.278656 0.482646i
\(636\) 15.7776 + 11.9152i 0.625621 + 0.472467i
\(637\) −37.4001 6.59465i −1.48185 0.261290i
\(638\) −39.8007 + 22.9789i −1.57572 + 0.909744i
\(639\) −8.35908 + 18.6695i −0.330680 + 0.738555i
\(640\) 38.4360 + 6.77731i 1.51932 + 0.267897i
\(641\) 3.62461 + 20.5562i 0.143164 + 0.811921i 0.968823 + 0.247753i \(0.0796921\pi\)
−0.825660 + 0.564169i \(0.809197\pi\)
\(642\) −37.8959 + 16.0390i −1.49563 + 0.633010i
\(643\) −31.1611 + 26.1473i −1.22887 + 1.03115i −0.230564 + 0.973057i \(0.574057\pi\)
−0.998311 + 0.0580911i \(0.981499\pi\)
\(644\) 4.34870 0.766793i 0.171363 0.0302159i
\(645\) −1.19602 23.2878i −0.0470932 0.916956i
\(646\) 14.3114 + 13.7190i 0.563073 + 0.539765i
\(647\) 12.2419i 0.481278i −0.970615 0.240639i \(-0.922643\pi\)
0.970615 0.240639i \(-0.0773570\pi\)
\(648\) 16.5160 + 2.39174i 0.648811 + 0.0939564i
\(649\) 15.4501 2.72427i 0.606469 0.106937i
\(650\) 15.9526 + 43.8294i 0.625713 + 1.71913i
\(651\) 4.13133 + 4.43961i 0.161919 + 0.174002i
\(652\) −16.1928 + 5.89369i −0.634158 + 0.230815i
\(653\) 4.78927i 0.187419i 0.995600 + 0.0937093i \(0.0298724\pi\)
−0.995600 + 0.0937093i \(0.970128\pi\)
\(654\) −0.342507 6.66900i −0.0133931 0.260778i
\(655\) −0.0305686 + 0.173363i −0.00119441 + 0.00677385i
\(656\) −13.5293 + 4.92428i −0.528232 + 0.192261i
\(657\) 3.81499 + 5.27407i 0.148837 + 0.205761i
\(658\) −7.03200 4.05993i −0.274136 0.158272i
\(659\) −9.86935 8.28137i −0.384455 0.322596i 0.429993 0.902832i \(-0.358516\pi\)
−0.814449 + 0.580236i \(0.802960\pi\)
\(660\) 24.5298 + 7.52760i 0.954822 + 0.293012i
\(661\) −6.98262 1.23122i −0.271593 0.0478891i 0.0361931 0.999345i \(-0.488477\pi\)
−0.307786 + 0.951456i \(0.599588\pi\)
\(662\) 1.60713 + 1.91530i 0.0624629 + 0.0744404i
\(663\) −6.24041 27.1599i −0.242358 1.05480i
\(664\) 14.2637 + 8.23515i 0.553539 + 0.319586i
\(665\) 9.15139 6.70044i 0.354876 0.259832i
\(666\) 22.0902 + 9.89066i 0.855978 + 0.383255i
\(667\) 10.0478 27.6062i 0.389053 1.06891i
\(668\) −12.6111 4.59006i −0.487937 0.177595i
\(669\) 0.878070 + 2.07464i 0.0339481 + 0.0802101i
\(670\) 8.61020 + 3.13386i 0.332641 + 0.121071i
\(671\) 12.0409 + 33.0822i 0.464835 + 1.27712i
\(672\) 3.19778 6.25979i 0.123357 0.241477i
\(673\) 0.277587i 0.0107002i −0.999986 0.00535010i \(-0.998297\pi\)
0.999986 0.00535010i \(-0.00170300\pi\)
\(674\) −6.40859 17.6074i −0.246850 0.678214i
\(675\) −0.484189 + 23.5082i −0.0186364 + 0.904830i
\(676\) 10.7193 + 18.5664i 0.412282 + 0.714093i
\(677\) −17.6385 30.5507i −0.677901 1.17416i −0.975612 0.219503i \(-0.929557\pi\)
0.297711 0.954656i \(-0.403777\pi\)
\(678\) −4.93860 + 39.8765i −0.189666 + 1.53145i
\(679\) 0.815820 2.24145i 0.0313083 0.0860188i
\(680\) 2.64780 15.0164i 0.101538 0.575853i
\(681\) −37.1310 11.3946i −1.42286 0.436642i
\(682\) −28.5274 + 23.9373i −1.09237 + 0.916608i
\(683\) 6.21218 0.237703 0.118851 0.992912i \(-0.462079\pi\)
0.118851 + 0.992912i \(0.462079\pi\)
\(684\) −8.00902 8.86662i −0.306233 0.339024i
\(685\) −10.3558 −0.395674
\(686\) −14.6507 + 12.2934i −0.559365 + 0.469363i
\(687\) −32.1579 + 29.9249i −1.22690 + 1.14170i
\(688\) 3.78179 21.4476i 0.144179 0.817682i
\(689\) 25.8016 70.8892i 0.982962 2.70067i
\(690\) −48.1676 + 20.3865i −1.83371 + 0.776099i
\(691\) 15.9848 + 27.6865i 0.608092 + 1.05325i 0.991555 + 0.129689i \(0.0413980\pi\)
−0.383463 + 0.923556i \(0.625269\pi\)
\(692\) 7.51067 + 13.0089i 0.285513 + 0.494523i
\(693\) −7.45324 + 11.0001i −0.283125 + 0.417860i
\(694\) 14.4812 + 39.7867i 0.549698 + 1.51028i
\(695\) 1.83927i 0.0697676i
\(696\) −8.95036 13.8140i −0.339263 0.523618i
\(697\) 2.62803 + 7.22045i 0.0995437 + 0.273494i
\(698\) −26.8755 9.78187i −1.01725 0.370249i
\(699\) 0.113432 0.150202i 0.00429040 0.00568117i
\(700\) 3.27571 + 1.19226i 0.123810 + 0.0450632i
\(701\) −8.28759 + 22.7700i −0.313018 + 0.860010i 0.679026 + 0.734115i \(0.262403\pi\)
−0.992044 + 0.125895i \(0.959820\pi\)
\(702\) 8.21232 + 52.9257i 0.309954 + 1.99755i
\(703\) 9.09934 + 18.4836i 0.343188 + 0.697120i
\(704\) −8.04600 4.64536i −0.303245 0.175079i
\(705\) 28.8334 + 8.84826i 1.08593 + 0.333245i
\(706\) −27.6623 32.9667i −1.04109 1.24072i
\(707\) −0.866753 0.152832i −0.0325976 0.00574783i
\(708\) −1.05835 4.60619i −0.0397751 0.173111i
\(709\) −14.0713 11.8072i −0.528460 0.443430i 0.339109 0.940747i \(-0.389874\pi\)
−0.867569 + 0.497317i \(0.834319\pi\)
\(710\) −31.1083 17.9604i −1.16747 0.674041i
\(711\) 1.15000 + 11.1664i 0.0431284 + 0.418771i
\(712\) −12.9760 + 4.72288i −0.486296 + 0.176997i
\(713\) 4.13370 23.4434i 0.154808 0.877961i
\(714\) −5.91460 3.02144i −0.221348 0.113075i
\(715\) 97.9033i 3.66138i
\(716\) −1.00027 + 0.364069i −0.0373819 + 0.0136059i
\(717\) −3.81810 + 12.4418i −0.142589 + 0.464649i
\(718\) −7.30860 20.0802i −0.272754 0.749387i
\(719\) 5.31190 0.936632i 0.198101 0.0349305i −0.0737174 0.997279i \(-0.523486\pi\)
0.271818 + 0.962349i \(0.412375\pi\)
\(720\) −11.2768 + 44.8286i −0.420260 + 1.67066i
\(721\) 3.24313i 0.120781i
\(722\) −1.37028 32.4033i −0.0509964 1.20592i
\(723\) 1.43085 + 0.730943i 0.0532139 + 0.0271840i
\(724\) 11.4504 2.01901i 0.425550 0.0750360i
\(725\) 17.7658 14.9073i 0.659806 0.553643i
\(726\) −39.1588 29.5726i −1.45332 1.09754i
\(727\) −4.37217 24.7958i −0.162155 0.919625i −0.951950 0.306254i \(-0.900924\pi\)
0.789795 0.613371i \(-0.210187\pi\)
\(728\) −9.29677 1.63927i −0.344561 0.0607554i
\(729\) −5.77938 + 26.3742i −0.214051 + 0.976822i
\(730\) −9.89912 + 5.71526i −0.366383 + 0.211531i
\(731\) −11.4463 2.01830i −0.423358 0.0746494i
\(732\) 9.76700 4.13378i 0.360999 0.152789i
\(733\) 13.6945 23.7196i 0.505818 0.876103i −0.494159 0.869371i \(-0.664524\pi\)
0.999977 0.00673135i \(-0.00214267\pi\)
\(734\) 47.0737 1.73752
\(735\) 20.2607 26.8284i 0.747327 0.989580i
\(736\) −27.1729 + 4.79132i −1.00161 + 0.176610i
\(737\) −6.99935 5.87315i −0.257824 0.216340i
\(738\) −4.04080 14.2041i −0.148744 0.522860i
\(739\) −5.11867 1.86304i −0.188293 0.0685331i 0.246153 0.969231i \(-0.420834\pi\)
−0.434446 + 0.900698i \(0.643056\pi\)
\(740\) −6.66413 + 11.5426i −0.244978 + 0.424315i
\(741\) −23.3775 + 39.1396i −0.858793 + 1.43783i
\(742\) −8.98963 15.5705i −0.330020 0.571611i
\(743\) 2.19250 + 12.4343i 0.0804351 + 0.456170i 0.998249 + 0.0591584i \(0.0188417\pi\)
−0.917813 + 0.397012i \(0.870047\pi\)
\(744\) −9.08608 9.76410i −0.333112 0.357969i
\(745\) −27.5004 + 10.0093i −1.00754 + 0.366714i
\(746\) 42.0102 + 50.0658i 1.53810 + 1.83304i
\(747\) −14.9472 + 22.0604i −0.546889 + 0.807146i
\(748\) 6.39473 11.0760i 0.233814 0.404978i
\(749\) 11.7347 0.428777
\(750\) 4.30040 + 0.532593i 0.157028 + 0.0194475i
\(751\) −29.9152 + 35.6515i −1.09162 + 1.30094i −0.141197 + 0.989982i \(0.545095\pi\)
−0.950423 + 0.310960i \(0.899350\pi\)
\(752\) 24.3947 + 14.0843i 0.889584 + 0.513602i
\(753\) −10.7793 5.50657i −0.392821 0.200671i
\(754\) 33.9564 40.4676i 1.23662 1.47374i
\(755\) −22.3300 + 18.7371i −0.812672 + 0.681913i
\(756\) 3.42464 + 2.07240i 0.124553 + 0.0753724i
\(757\) −5.64213 31.9981i −0.205067 1.16299i −0.897335 0.441351i \(-0.854499\pi\)
0.692268 0.721641i \(-0.256612\pi\)
\(758\) 40.2423 + 47.9589i 1.46167 + 1.74195i
\(759\) 52.0884 2.67516i 1.89069 0.0971022i
\(760\) −20.1268 + 14.7364i −0.730074 + 0.534544i
\(761\) 20.0966 11.6028i 0.728501 0.420600i −0.0893728 0.995998i \(-0.528486\pi\)
0.817873 + 0.575398i \(0.195153\pi\)
\(762\) 9.16492 + 9.84883i 0.332010 + 0.356785i
\(763\) −0.651303 + 1.78944i −0.0235788 + 0.0647821i
\(764\) −1.64936 + 1.96563i −0.0596716 + 0.0711139i
\(765\) 23.9245 + 6.01828i 0.864992 + 0.217591i
\(766\) 8.42582 47.7852i 0.304437 1.72655i
\(767\) −15.6172 + 9.01662i −0.563906 + 0.325571i
\(768\) −14.2218 + 27.8397i −0.513183 + 1.00458i
\(769\) −20.5945 17.2808i −0.742657 0.623163i 0.190893 0.981611i \(-0.438862\pi\)
−0.933550 + 0.358448i \(0.883306\pi\)
\(770\) −17.8743 14.9983i −0.644145 0.540502i
\(771\) −13.3067 + 26.0485i −0.479230 + 0.938