Properties

Label 750.2.m.d.91.4
Level $750$
Weight $2$
Character 750.91
Analytic conductor $5.989$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 750.m (of order \(25\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.98878015160\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(7\) over \(\Q(\zeta_{25})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label 91.4
Character \(\chi\) \(=\) 750.91
Dual form 750.2.m.d.511.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.728969 - 0.684547i) q^{2} +(0.535827 - 0.844328i) q^{3} +(0.0627905 + 0.998027i) q^{4} +(-1.13246 - 1.92809i) q^{5} +(-0.968583 + 0.248690i) q^{6} +(-1.48776 - 4.57885i) q^{7} +(0.637424 - 0.770513i) q^{8} +(-0.425779 - 0.904827i) q^{9} +O(q^{10})\) \(q+(-0.728969 - 0.684547i) q^{2} +(0.535827 - 0.844328i) q^{3} +(0.0627905 + 0.998027i) q^{4} +(-1.13246 - 1.92809i) q^{5} +(-0.968583 + 0.248690i) q^{6} +(-1.48776 - 4.57885i) q^{7} +(0.637424 - 0.770513i) q^{8} +(-0.425779 - 0.904827i) q^{9} +(-0.494339 + 2.18074i) q^{10} +(-1.04060 - 0.977187i) q^{11} +(0.876307 + 0.481754i) q^{12} +(0.655738 + 1.39351i) q^{13} +(-2.04991 + 4.35628i) q^{14} +(-2.23474 - 0.0769525i) q^{15} +(-0.992115 + 0.125333i) q^{16} +(0.202923 - 3.22537i) q^{17} +(-0.309017 + 0.951057i) q^{18} +(1.94495 + 3.06476i) q^{19} +(1.85318 - 1.25129i) q^{20} +(-4.66323 - 1.19731i) q^{21} +(0.0896331 + 1.42468i) q^{22} +(0.446225 + 2.33919i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(-2.43506 + 4.36698i) q^{25} +(0.475913 - 1.46471i) q^{26} +(-0.992115 - 0.125333i) q^{27} +(4.47639 - 1.77233i) q^{28} +(-2.84216 + 1.12529i) q^{29} +(1.57638 + 1.58588i) q^{30} +(-0.474555 + 7.54283i) q^{31} +(0.809017 + 0.587785i) q^{32} +(-1.38265 + 0.355003i) q^{33} +(-2.35584 + 2.21228i) q^{34} +(-7.14360 + 8.05390i) q^{35} +(0.876307 - 0.481754i) q^{36} +(-0.180338 + 0.0227820i) q^{37} +(0.680160 - 3.56553i) q^{38} +(1.52794 + 0.193024i) q^{39} +(-2.20748 - 0.356433i) q^{40} +(1.50131 - 7.87012i) q^{41} +(2.57973 + 4.06500i) q^{42} +(7.96085 - 5.78390i) q^{43} +(0.909919 - 1.09990i) q^{44} +(-1.26241 + 1.84562i) q^{45} +(1.27600 - 2.01066i) q^{46} +(-4.06660 - 4.91568i) q^{47} +(-0.425779 + 0.904827i) q^{48} +(-13.0893 + 9.50993i) q^{49} +(4.76448 - 1.51648i) q^{50} +(-2.61454 - 1.89957i) q^{51} +(-1.34959 + 0.741943i) q^{52} +(-9.50471 - 2.44039i) q^{53} +(0.637424 + 0.770513i) q^{54} +(-0.705665 + 3.11299i) q^{55} +(-4.47639 - 1.77233i) q^{56} +3.62982 q^{57} +(2.84216 + 1.12529i) q^{58} +(-10.9356 - 6.01191i) q^{59} +(-0.0635200 - 2.23517i) q^{60} +(-1.82715 - 9.57824i) q^{61} +(5.50936 - 5.17363i) q^{62} +(-3.50961 + 3.29574i) q^{63} +(-0.187381 - 0.982287i) q^{64} +(1.94422 - 2.84242i) q^{65} +(1.25092 + 0.687700i) q^{66} +(13.5094 + 5.34873i) q^{67} +3.23175 q^{68} +(2.21414 + 0.876641i) q^{69} +(10.7207 - 0.980912i) q^{70} +(5.57607 + 6.74031i) q^{71} +(-0.968583 - 0.248690i) q^{72} +(1.41440 - 0.777573i) q^{73} +(0.147056 + 0.106843i) q^{74} +(2.38239 + 4.39593i) q^{75} +(-2.93659 + 2.13355i) q^{76} +(-2.92623 + 6.21856i) q^{77} +(-0.981689 - 1.18666i) q^{78} +(-5.49069 + 8.65194i) q^{79} +(1.36519 + 1.77095i) q^{80} +(-0.637424 + 0.770513i) q^{81} +(-6.48187 + 4.70935i) q^{82} +(-3.35959 - 5.29386i) q^{83} +(0.902144 - 4.72921i) q^{84} +(-6.44860 + 3.26135i) q^{85} +(-9.76256 - 1.23330i) q^{86} +(-0.572792 + 3.00268i) q^{87} +(-1.41624 + 0.178912i) q^{88} +(9.59159 - 5.27302i) q^{89} +(2.18367 - 0.481223i) q^{90} +(5.40511 - 5.07573i) q^{91} +(-2.30656 + 0.592223i) q^{92} +(6.11435 + 4.44233i) q^{93} +(-0.400588 + 6.36716i) q^{94} +(3.70654 - 7.22077i) q^{95} +(0.929776 - 0.368125i) q^{96} +(-5.72717 + 2.26755i) q^{97} +(16.0517 + 2.02780i) q^{98} +(-0.441120 + 1.35763i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140 q - 20 q^{5} + 5 q^{7} + O(q^{10}) \) \( 140 q - 20 q^{5} + 5 q^{7} + 20 q^{10} + 5 q^{11} - 10 q^{13} + 20 q^{14} - 5 q^{17} + 35 q^{18} - 5 q^{19} - 5 q^{23} + 35 q^{24} - 40 q^{25} - 10 q^{26} + 25 q^{29} + 5 q^{30} + 30 q^{31} + 35 q^{32} - 15 q^{34} - 25 q^{37} + 35 q^{38} - 10 q^{39} + 5 q^{40} + 55 q^{41} + 35 q^{43} + 25 q^{44} + 20 q^{46} + 10 q^{47} - 60 q^{49} - 5 q^{51} + 40 q^{52} + 40 q^{55} + 20 q^{57} - 25 q^{58} + 75 q^{59} + 50 q^{61} + 5 q^{62} + 5 q^{63} - 35 q^{65} + 20 q^{66} - 95 q^{67} + 20 q^{68} - 20 q^{69} + 65 q^{70} - 50 q^{71} + 20 q^{73} + 30 q^{74} + 35 q^{75} - 5 q^{76} + 15 q^{77} + 5 q^{78} + 70 q^{79} - 15 q^{82} + 25 q^{83} + 5 q^{84} - 95 q^{85} - 5 q^{86} - 5 q^{88} - 105 q^{89} - 5 q^{90} - 65 q^{91} + 55 q^{92} - 30 q^{93} - 10 q^{94} + 125 q^{95} - 5 q^{97} + 70 q^{98} - 10 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(251\)
\(\chi(n)\) \(e\left(\frac{6}{25}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.728969 0.684547i −0.515459 0.484048i
\(3\) 0.535827 0.844328i 0.309360 0.487473i
\(4\) 0.0627905 + 0.998027i 0.0313953 + 0.499013i
\(5\) −1.13246 1.92809i −0.506453 0.862268i
\(6\) −0.968583 + 0.248690i −0.395422 + 0.101527i
\(7\) −1.48776 4.57885i −0.562319 1.73064i −0.675784 0.737099i \(-0.736195\pi\)
0.113465 0.993542i \(-0.463805\pi\)
\(8\) 0.637424 0.770513i 0.225363 0.272418i
\(9\) −0.425779 0.904827i −0.141926 0.301609i
\(10\) −0.494339 + 2.18074i −0.156324 + 0.689611i
\(11\) −1.04060 0.977187i −0.313752 0.294633i 0.511632 0.859205i \(-0.329041\pi\)
−0.825384 + 0.564572i \(0.809041\pi\)
\(12\) 0.876307 + 0.481754i 0.252968 + 0.139070i
\(13\) 0.655738 + 1.39351i 0.181869 + 0.386491i 0.974885 0.222710i \(-0.0714903\pi\)
−0.793016 + 0.609201i \(0.791490\pi\)
\(14\) −2.04991 + 4.35628i −0.547861 + 1.16426i
\(15\) −2.23474 0.0769525i −0.577008 0.0198691i
\(16\) −0.992115 + 0.125333i −0.248029 + 0.0313333i
\(17\) 0.202923 3.22537i 0.0492161 0.782267i −0.893581 0.448901i \(-0.851816\pi\)
0.942798 0.333366i \(-0.108184\pi\)
\(18\) −0.309017 + 0.951057i −0.0728360 + 0.224166i
\(19\) 1.94495 + 3.06476i 0.446203 + 0.703104i 0.990761 0.135620i \(-0.0433025\pi\)
−0.544558 + 0.838723i \(0.683302\pi\)
\(20\) 1.85318 1.25129i 0.414383 0.279798i
\(21\) −4.66323 1.19731i −1.01760 0.261275i
\(22\) 0.0896331 + 1.42468i 0.0191098 + 0.303742i
\(23\) 0.446225 + 2.33919i 0.0930443 + 0.487755i 0.998054 + 0.0623632i \(0.0198637\pi\)
−0.905009 + 0.425392i \(0.860136\pi\)
\(24\) −0.309017 0.951057i −0.0630778 0.194134i
\(25\) −2.43506 + 4.36698i −0.487012 + 0.873395i
\(26\) 0.475913 1.46471i 0.0933343 0.287253i
\(27\) −0.992115 0.125333i −0.190933 0.0241204i
\(28\) 4.47639 1.77233i 0.845959 0.334939i
\(29\) −2.84216 + 1.12529i −0.527777 + 0.208962i −0.616875 0.787061i \(-0.711602\pi\)
0.0890981 + 0.996023i \(0.471602\pi\)
\(30\) 1.57638 + 1.58588i 0.287806 + 0.289541i
\(31\) −0.474555 + 7.54283i −0.0852326 + 1.35473i 0.690345 + 0.723481i \(0.257459\pi\)
−0.775577 + 0.631253i \(0.782541\pi\)
\(32\) 0.809017 + 0.587785i 0.143015 + 0.103907i
\(33\) −1.38265 + 0.355003i −0.240688 + 0.0617981i
\(34\) −2.35584 + 2.21228i −0.404023 + 0.379403i
\(35\) −7.14360 + 8.05390i −1.20749 + 1.36136i
\(36\) 0.876307 0.481754i 0.146051 0.0802923i
\(37\) −0.180338 + 0.0227820i −0.0296475 + 0.00374535i −0.140143 0.990131i \(-0.544756\pi\)
0.110496 + 0.993877i \(0.464756\pi\)
\(38\) 0.680160 3.56553i 0.110337 0.578405i
\(39\) 1.52794 + 0.193024i 0.244667 + 0.0309086i
\(40\) −2.20748 0.356433i −0.349033 0.0563571i
\(41\) 1.50131 7.87012i 0.234464 1.22911i −0.649066 0.760732i \(-0.724840\pi\)
0.883530 0.468374i \(-0.155160\pi\)
\(42\) 2.57973 + 4.06500i 0.398061 + 0.627244i
\(43\) 7.96085 5.78390i 1.21402 0.882036i 0.218429 0.975853i \(-0.429907\pi\)
0.995589 + 0.0938168i \(0.0299068\pi\)
\(44\) 0.909919 1.09990i 0.137175 0.165817i
\(45\) −1.26241 + 1.84562i −0.188189 + 0.275129i
\(46\) 1.27600 2.01066i 0.188136 0.296455i
\(47\) −4.06660 4.91568i −0.593175 0.717026i 0.385438 0.922734i \(-0.374050\pi\)
−0.978613 + 0.205708i \(0.934050\pi\)
\(48\) −0.425779 + 0.904827i −0.0614559 + 0.130601i
\(49\) −13.0893 + 9.50993i −1.86990 + 1.35856i
\(50\) 4.76448 1.51648i 0.673800 0.214462i
\(51\) −2.61454 1.89957i −0.366108 0.265993i
\(52\) −1.34959 + 0.741943i −0.187154 + 0.102889i
\(53\) −9.50471 2.44039i −1.30557 0.335214i −0.469062 0.883165i \(-0.655408\pi\)
−0.836510 + 0.547951i \(0.815408\pi\)
\(54\) 0.637424 + 0.770513i 0.0867424 + 0.104854i
\(55\) −0.705665 + 3.11299i −0.0951519 + 0.419756i
\(56\) −4.47639 1.77233i −0.598183 0.236838i
\(57\) 3.62982 0.480781
\(58\) 2.84216 + 1.12529i 0.373195 + 0.147758i
\(59\) −10.9356 6.01191i −1.42370 0.782684i −0.430890 0.902405i \(-0.641800\pi\)
−0.992808 + 0.119721i \(0.961800\pi\)
\(60\) −0.0635200 2.23517i −0.00820040 0.288559i
\(61\) −1.82715 9.57824i −0.233942 1.22637i −0.884365 0.466796i \(-0.845408\pi\)
0.650423 0.759572i \(-0.274592\pi\)
\(62\) 5.50936 5.17363i 0.699690 0.657052i
\(63\) −3.50961 + 3.29574i −0.442169 + 0.415224i
\(64\) −0.187381 0.982287i −0.0234227 0.122786i
\(65\) 1.94422 2.84242i 0.241151 0.352559i
\(66\) 1.25092 + 0.687700i 0.153978 + 0.0846500i
\(67\) 13.5094 + 5.34873i 1.65043 + 0.653452i 0.994820 0.101648i \(-0.0324114\pi\)
0.655610 + 0.755099i \(0.272411\pi\)
\(68\) 3.23175 0.391907
\(69\) 2.21414 + 0.876641i 0.266552 + 0.105535i
\(70\) 10.7207 0.980912i 1.28137 0.117241i
\(71\) 5.57607 + 6.74031i 0.661758 + 0.799928i 0.989453 0.144856i \(-0.0462718\pi\)
−0.327695 + 0.944784i \(0.606272\pi\)
\(72\) −0.968583 0.248690i −0.114149 0.0293084i
\(73\) 1.41440 0.777573i 0.165543 0.0910080i −0.396828 0.917893i \(-0.629889\pi\)
0.562371 + 0.826885i \(0.309889\pi\)
\(74\) 0.147056 + 0.106843i 0.0170950 + 0.0124202i
\(75\) 2.38239 + 4.39593i 0.275095 + 0.507598i
\(76\) −2.93659 + 2.13355i −0.336850 + 0.244735i
\(77\) −2.92623 + 6.21856i −0.333475 + 0.708670i
\(78\) −0.981689 1.18666i −0.111154 0.134363i
\(79\) −5.49069 + 8.65194i −0.617750 + 0.973419i 0.381055 + 0.924552i \(0.375561\pi\)
−0.998805 + 0.0488664i \(0.984439\pi\)
\(80\) 1.36519 + 1.77095i 0.152632 + 0.197998i
\(81\) −0.637424 + 0.770513i −0.0708249 + 0.0856126i
\(82\) −6.48187 + 4.70935i −0.715803 + 0.520061i
\(83\) −3.35959 5.29386i −0.368763 0.581077i 0.608384 0.793643i \(-0.291818\pi\)
−0.977147 + 0.212566i \(0.931818\pi\)
\(84\) 0.902144 4.72921i 0.0984320 0.515999i
\(85\) −6.44860 + 3.26135i −0.699449 + 0.353744i
\(86\) −9.76256 1.23330i −1.05272 0.132990i
\(87\) −0.572792 + 3.00268i −0.0614098 + 0.321921i
\(88\) −1.41624 + 0.178912i −0.150971 + 0.0190721i
\(89\) 9.59159 5.27302i 1.01671 0.558939i 0.115946 0.993256i \(-0.463010\pi\)
0.900760 + 0.434316i \(0.143010\pi\)
\(90\) 2.18367 0.481223i 0.230179 0.0507254i
\(91\) 5.40511 5.07573i 0.566609 0.532081i
\(92\) −2.30656 + 0.592223i −0.240475 + 0.0617435i
\(93\) 6.11435 + 4.44233i 0.634028 + 0.460648i
\(94\) −0.400588 + 6.36716i −0.0413175 + 0.656722i
\(95\) 3.70654 7.22077i 0.380283 0.740835i
\(96\) 0.929776 0.368125i 0.0948949 0.0375716i
\(97\) −5.72717 + 2.26755i −0.581506 + 0.230235i −0.640415 0.768029i \(-0.721238\pi\)
0.0589092 + 0.998263i \(0.481238\pi\)
\(98\) 16.0517 + 2.02780i 1.62146 + 0.204839i
\(99\) −0.441120 + 1.35763i −0.0443342 + 0.136447i
\(100\) −4.51126 2.15605i −0.451126 0.215605i
\(101\) 0.296737 + 0.913264i 0.0295265 + 0.0908732i 0.964734 0.263228i \(-0.0847870\pi\)
−0.935207 + 0.354101i \(0.884787\pi\)
\(102\) 0.605569 + 3.17450i 0.0599603 + 0.314323i
\(103\) 0.422667 + 6.71810i 0.0416466 + 0.661954i 0.962371 + 0.271740i \(0.0875990\pi\)
−0.920724 + 0.390214i \(0.872401\pi\)
\(104\) 1.49170 + 0.383004i 0.146274 + 0.0375567i
\(105\) 2.97240 + 10.3470i 0.290077 + 1.00977i
\(106\) 5.25807 + 8.28539i 0.510709 + 0.804748i
\(107\) 0.624824 1.92301i 0.0604040 0.185904i −0.916301 0.400490i \(-0.868840\pi\)
0.976705 + 0.214585i \(0.0688400\pi\)
\(108\) 0.0627905 0.998027i 0.00604202 0.0960352i
\(109\) −0.648718 + 0.0819522i −0.0621360 + 0.00784960i −0.156340 0.987703i \(-0.549969\pi\)
0.0942038 + 0.995553i \(0.469969\pi\)
\(110\) 2.64540 1.78621i 0.252229 0.170309i
\(111\) −0.0773947 + 0.164472i −0.00734598 + 0.0156110i
\(112\) 2.04991 + 4.35628i 0.193698 + 0.411629i
\(113\) 0.738769 + 0.406142i 0.0694976 + 0.0382066i 0.516124 0.856514i \(-0.327375\pi\)
−0.446626 + 0.894721i \(0.647375\pi\)
\(114\) −2.64602 2.48478i −0.247823 0.232721i
\(115\) 4.00484 3.50941i 0.373453 0.327254i
\(116\) −1.30153 2.76590i −0.120844 0.256807i
\(117\) 0.981689 1.18666i 0.0907572 0.109707i
\(118\) 3.85629 + 11.8684i 0.355000 + 1.09258i
\(119\) −15.0704 + 3.86941i −1.38150 + 0.354709i
\(120\) −1.48377 + 1.67285i −0.135449 + 0.152709i
\(121\) −0.562745 8.94458i −0.0511586 0.813143i
\(122\) −5.22482 + 8.23301i −0.473033 + 0.745381i
\(123\) −5.84052 5.48461i −0.526622 0.494531i
\(124\) −7.55775 −0.678706
\(125\) 11.1775 0.250426i 0.999749 0.0223988i
\(126\) 4.81448 0.428908
\(127\) −13.4866 12.6648i −1.19675 1.12382i −0.989349 0.145561i \(-0.953501\pi\)
−0.207396 0.978257i \(-0.566499\pi\)
\(128\) −0.535827 + 0.844328i −0.0473608 + 0.0746288i
\(129\) −0.617868 9.82074i −0.0544003 0.864668i
\(130\) −3.36305 + 0.741126i −0.294959 + 0.0650011i
\(131\) 3.09497 0.794654i 0.270409 0.0694293i −0.111051 0.993815i \(-0.535422\pi\)
0.381460 + 0.924386i \(0.375422\pi\)
\(132\) −0.441120 1.35763i −0.0383945 0.118166i
\(133\) 11.1394 13.4653i 0.965912 1.16759i
\(134\) −6.18644 13.1469i −0.534427 1.13571i
\(135\) 0.881879 + 2.05482i 0.0759000 + 0.176851i
\(136\) −2.35584 2.21228i −0.202012 0.189702i
\(137\) 12.2023 + 6.70829i 1.04252 + 0.573128i 0.908514 0.417854i \(-0.137217\pi\)
0.134001 + 0.990981i \(0.457217\pi\)
\(138\) −1.01394 2.15473i −0.0863122 0.183423i
\(139\) −4.43789 + 9.43100i −0.376417 + 0.799927i 0.623420 + 0.781887i \(0.285743\pi\)
−0.999837 + 0.0180398i \(0.994257\pi\)
\(140\) −8.48656 6.62379i −0.717245 0.559813i
\(141\) −6.32944 + 0.799594i −0.533035 + 0.0673380i
\(142\) 0.549280 8.73056i 0.0460946 0.732652i
\(143\) 0.679363 2.09087i 0.0568112 0.174847i
\(144\) 0.535827 + 0.844328i 0.0446522 + 0.0703607i
\(145\) 5.38831 + 4.20560i 0.447475 + 0.349256i
\(146\) −1.56334 0.401397i −0.129383 0.0332198i
\(147\) 1.01590 + 16.1473i 0.0837904 + 1.33181i
\(148\) −0.0340606 0.178552i −0.00279977 0.0146769i
\(149\) −1.40469 4.32318i −0.115076 0.354169i 0.876887 0.480697i \(-0.159616\pi\)
−0.991963 + 0.126529i \(0.959616\pi\)
\(150\) 1.27253 4.83536i 0.103902 0.394805i
\(151\) 5.94929 18.3100i 0.484146 1.49005i −0.349067 0.937098i \(-0.613502\pi\)
0.833214 0.552951i \(-0.186498\pi\)
\(152\) 3.60120 + 0.454937i 0.292096 + 0.0369003i
\(153\) −3.00480 + 1.18969i −0.242924 + 0.0961803i
\(154\) 6.39002 2.52999i 0.514923 0.203872i
\(155\) 15.0807 7.62699i 1.21131 0.612615i
\(156\) −0.0967029 + 1.53705i −0.00774243 + 0.123062i
\(157\) −3.00273 2.18161i −0.239644 0.174112i 0.461481 0.887150i \(-0.347318\pi\)
−0.701125 + 0.713039i \(0.747318\pi\)
\(158\) 9.92520 2.54836i 0.789606 0.202736i
\(159\) −7.15337 + 6.71746i −0.567299 + 0.532729i
\(160\) 0.217121 2.22550i 0.0171650 0.175941i
\(161\) 10.0469 5.52334i 0.791809 0.435300i
\(162\) 0.992115 0.125333i 0.0779479 0.00984711i
\(163\) 4.35551 22.8324i 0.341150 1.78837i −0.236021 0.971748i \(-0.575843\pi\)
0.577171 0.816623i \(-0.304157\pi\)
\(164\) 7.94885 + 1.00417i 0.620701 + 0.0784128i
\(165\) 2.25027 + 2.26384i 0.175183 + 0.176240i
\(166\) −1.17486 + 6.15885i −0.0911872 + 0.478020i
\(167\) 5.48017 + 8.63536i 0.424068 + 0.668224i 0.987443 0.157977i \(-0.0504973\pi\)
−0.563375 + 0.826201i \(0.690497\pi\)
\(168\) −3.89500 + 2.82988i −0.300506 + 0.218330i
\(169\) 6.77462 8.18911i 0.521125 0.629932i
\(170\) 6.93338 + 2.03695i 0.531766 + 0.156227i
\(171\) 1.94495 3.06476i 0.148734 0.234368i
\(172\) 6.27235 + 7.58197i 0.478262 + 0.578120i
\(173\) 4.84995 10.3067i 0.368735 0.783602i −0.631233 0.775593i \(-0.717451\pi\)
0.999968 0.00800866i \(-0.00254926\pi\)
\(174\) 2.47302 1.79676i 0.187479 0.136212i
\(175\) 23.6185 + 4.65276i 1.78539 + 0.351715i
\(176\) 1.15487 + 0.839060i 0.0870513 + 0.0632465i
\(177\) −10.9356 + 6.01191i −0.821972 + 0.451883i
\(178\) −10.6016 2.72203i −0.794623 0.204025i
\(179\) −7.08363 8.56263i −0.529455 0.640001i 0.436193 0.899853i \(-0.356326\pi\)
−0.965649 + 0.259852i \(0.916326\pi\)
\(180\) −1.92125 1.14403i −0.143201 0.0852710i
\(181\) −20.5743 8.14596i −1.52928 0.605484i −0.555205 0.831713i \(-0.687360\pi\)
−0.974074 + 0.226229i \(0.927360\pi\)
\(182\) −7.41473 −0.549616
\(183\) −9.06621 3.58957i −0.670194 0.265348i
\(184\) 2.08681 + 1.14723i 0.153842 + 0.0845753i
\(185\) 0.248152 + 0.321909i 0.0182445 + 0.0236672i
\(186\) −1.41618 7.42388i −0.103839 0.544345i
\(187\) −3.36295 + 3.15802i −0.245923 + 0.230937i
\(188\) 4.65064 4.36724i 0.339182 0.318514i
\(189\) 0.902144 + 4.72921i 0.0656214 + 0.343999i
\(190\) −7.64491 + 2.72641i −0.554620 + 0.197795i
\(191\) −1.85599 1.02034i −0.134295 0.0738293i 0.413190 0.910645i \(-0.364415\pi\)
−0.547485 + 0.836816i \(0.684415\pi\)
\(192\) −0.929776 0.368125i −0.0671008 0.0265671i
\(193\) 3.47469 0.250114 0.125057 0.992150i \(-0.460089\pi\)
0.125057 + 0.992150i \(0.460089\pi\)
\(194\) 5.72717 + 2.26755i 0.411187 + 0.162800i
\(195\) −1.35817 3.16461i −0.0972606 0.226622i
\(196\) −10.3130 12.4663i −0.736646 0.890452i
\(197\) −2.55881 0.656992i −0.182308 0.0468087i 0.156432 0.987689i \(-0.450001\pi\)
−0.338740 + 0.940880i \(0.610001\pi\)
\(198\) 1.25092 0.687700i 0.0888992 0.0488727i
\(199\) 13.2045 + 9.59363i 0.936042 + 0.680074i 0.947465 0.319860i \(-0.103636\pi\)
−0.0114225 + 0.999935i \(0.503636\pi\)
\(200\) 1.81265 + 4.65986i 0.128174 + 0.329502i
\(201\) 11.7548 8.54033i 0.829117 0.602389i
\(202\) 0.408860 0.868872i 0.0287673 0.0611336i
\(203\) 9.38100 + 11.3397i 0.658417 + 0.795889i
\(204\) 1.73166 2.72865i 0.121240 0.191044i
\(205\) −16.8745 + 6.01796i −1.17856 + 0.420313i
\(206\) 4.29074 5.18662i 0.298950 0.361369i
\(207\) 1.92657 1.39974i 0.133906 0.0972883i
\(208\) −0.825220 1.30034i −0.0572187 0.0901623i
\(209\) 0.970925 5.08976i 0.0671603 0.352066i
\(210\) 4.91624 9.57741i 0.339253 0.660904i
\(211\) 13.9914 + 1.76752i 0.963205 + 0.121681i 0.591178 0.806541i \(-0.298663\pi\)
0.372027 + 0.928222i \(0.378663\pi\)
\(212\) 1.83877 9.63919i 0.126287 0.662022i
\(213\) 8.67884 1.09639i 0.594664 0.0751236i
\(214\) −1.77187 + 0.974092i −0.121122 + 0.0665876i
\(215\) −20.1672 8.79919i −1.37539 0.600100i
\(216\) −0.728969 + 0.684547i −0.0496000 + 0.0465775i
\(217\) 35.2435 9.04899i 2.39249 0.614286i
\(218\) 0.528995 + 0.384338i 0.0358281 + 0.0260306i
\(219\) 0.101347 1.61086i 0.00684838 0.108852i
\(220\) −3.15116 0.508806i −0.212451 0.0343037i
\(221\) 4.62766 1.83222i 0.311290 0.123248i
\(222\) 0.169007 0.0669147i 0.0113430 0.00449102i
\(223\) −5.84452 0.738334i −0.391378 0.0494425i −0.0728179 0.997345i \(-0.523199\pi\)
−0.318560 + 0.947903i \(0.603199\pi\)
\(224\) 1.48776 4.57885i 0.0994050 0.305937i
\(225\) 4.98816 + 0.343938i 0.332544 + 0.0229292i
\(226\) −0.260516 0.801787i −0.0173293 0.0533341i
\(227\) 4.84690 + 25.4084i 0.321700 + 1.68641i 0.664727 + 0.747086i \(0.268548\pi\)
−0.343027 + 0.939326i \(0.611452\pi\)
\(228\) 0.227918 + 3.62266i 0.0150943 + 0.239916i
\(229\) −7.49269 1.92380i −0.495131 0.127128i −0.00713615 0.999975i \(-0.502272\pi\)
−0.487995 + 0.872846i \(0.662272\pi\)
\(230\) −5.32176 0.183253i −0.350906 0.0120833i
\(231\) 3.68255 + 5.80277i 0.242294 + 0.381794i
\(232\) −0.944611 + 2.90721i −0.0620168 + 0.190868i
\(233\) 1.09942 17.4748i 0.0720254 1.14481i −0.781550 0.623842i \(-0.785571\pi\)
0.853576 0.520969i \(-0.174429\pi\)
\(234\) −1.52794 + 0.193024i −0.0998848 + 0.0126184i
\(235\) −4.87260 + 13.4076i −0.317853 + 0.874615i
\(236\) 5.31339 11.2915i 0.345873 0.735016i
\(237\) 4.36301 + 9.27188i 0.283408 + 0.602273i
\(238\) 13.6346 + 7.49570i 0.883801 + 0.485874i
\(239\) 6.12066 + 5.74768i 0.395912 + 0.371787i 0.856780 0.515683i \(-0.172462\pi\)
−0.460867 + 0.887469i \(0.652462\pi\)
\(240\) 2.22677 0.203742i 0.143737 0.0131515i
\(241\) −7.85810 16.6993i −0.506185 1.07570i −0.980712 0.195457i \(-0.937381\pi\)
0.474527 0.880241i \(-0.342619\pi\)
\(242\) −5.71276 + 6.90554i −0.367230 + 0.443905i
\(243\) 0.309017 + 0.951057i 0.0198234 + 0.0610103i
\(244\) 9.44461 2.42496i 0.604629 0.155242i
\(245\) 33.1591 + 14.4677i 2.11846 + 0.924307i
\(246\) 0.503080 + 7.99622i 0.0320752 + 0.509820i
\(247\) −2.99540 + 4.72000i −0.190593 + 0.300326i
\(248\) 5.50936 + 5.17363i 0.349845 + 0.328526i
\(249\) −6.26991 −0.397340
\(250\) −8.31950 7.46900i −0.526171 0.472381i
\(251\) −17.5020 −1.10472 −0.552358 0.833607i \(-0.686272\pi\)
−0.552358 + 0.833607i \(0.686272\pi\)
\(252\) −3.50961 3.29574i −0.221085 0.207612i
\(253\) 1.82149 2.87020i 0.114516 0.180448i
\(254\) 1.16169 + 18.4645i 0.0728907 + 1.15856i
\(255\) −0.701681 + 7.19226i −0.0439410 + 0.450397i
\(256\) 0.968583 0.248690i 0.0605364 0.0155431i
\(257\) −8.67398 26.6958i −0.541068 1.66524i −0.730159 0.683277i \(-0.760554\pi\)
0.189091 0.981960i \(-0.439446\pi\)
\(258\) −6.27235 + 7.58197i −0.390499 + 0.472033i
\(259\) 0.372615 + 0.791848i 0.0231532 + 0.0492030i
\(260\) 2.95889 + 1.76191i 0.183503 + 0.109269i
\(261\) 2.22833 + 2.09254i 0.137930 + 0.129525i
\(262\) −2.80012 1.53938i −0.172992 0.0951030i
\(263\) 2.25969 + 4.80209i 0.139339 + 0.296110i 0.962301 0.271986i \(-0.0876804\pi\)
−0.822963 + 0.568096i \(0.807680\pi\)
\(264\) −0.607797 + 1.29163i −0.0374073 + 0.0794946i
\(265\) 6.05842 + 21.0896i 0.372166 + 1.29552i
\(266\) −17.3379 + 2.19029i −1.06306 + 0.134295i
\(267\) 0.687272 10.9239i 0.0420604 0.668530i
\(268\) −4.48992 + 13.8186i −0.274265 + 0.844102i
\(269\) −5.68963 8.96542i −0.346903 0.546631i 0.625416 0.780292i \(-0.284929\pi\)
−0.972318 + 0.233661i \(0.924929\pi\)
\(270\) 0.763760 2.10159i 0.0464809 0.127899i
\(271\) 4.97125 + 1.27640i 0.301982 + 0.0775358i 0.396641 0.917974i \(-0.370176\pi\)
−0.0946586 + 0.995510i \(0.530176\pi\)
\(272\) 0.202923 + 3.22537i 0.0123040 + 0.195567i
\(273\) −1.38938 7.28339i −0.0840892 0.440811i
\(274\) −4.30298 13.2432i −0.259952 0.800051i
\(275\) 6.80127 2.16476i 0.410132 0.130540i
\(276\) −0.735884 + 2.26482i −0.0442950 + 0.136326i
\(277\) 25.2018 + 3.18373i 1.51423 + 0.191292i 0.838112 0.545499i \(-0.183660\pi\)
0.676121 + 0.736791i \(0.263660\pi\)
\(278\) 9.69104 3.83696i 0.581230 0.230125i
\(279\) 7.02702 2.78219i 0.420696 0.166566i
\(280\) 1.65214 + 10.6380i 0.0987341 + 0.635741i
\(281\) 0.348869 5.54511i 0.0208118 0.330794i −0.973820 0.227319i \(-0.927004\pi\)
0.994632 0.103475i \(-0.0329960\pi\)
\(282\) 5.16132 + 3.74992i 0.307352 + 0.223305i
\(283\) −19.1713 + 4.92234i −1.13961 + 0.292603i −0.770910 0.636944i \(-0.780198\pi\)
−0.368703 + 0.929547i \(0.620198\pi\)
\(284\) −6.37689 + 5.98830i −0.378399 + 0.355340i
\(285\) −4.11063 6.99862i −0.243493 0.414562i
\(286\) −1.92653 + 1.05912i −0.113918 + 0.0626270i
\(287\) −38.2696 + 4.83458i −2.25899 + 0.285376i
\(288\) 0.187381 0.982287i 0.0110415 0.0578818i
\(289\) 6.50412 + 0.821662i 0.382595 + 0.0483330i
\(290\) −1.04898 6.75430i −0.0615982 0.396626i
\(291\) −1.15422 + 6.05062i −0.0676615 + 0.354694i
\(292\) 0.864849 + 1.36278i 0.0506115 + 0.0797509i
\(293\) −9.72535 + 7.06588i −0.568161 + 0.412793i −0.834437 0.551104i \(-0.814207\pi\)
0.266276 + 0.963897i \(0.414207\pi\)
\(294\) 10.3130 12.4663i 0.601469 0.727051i
\(295\) 0.792680 + 27.8931i 0.0461516 + 1.62400i
\(296\) −0.0973982 + 0.153475i −0.00566115 + 0.00892055i
\(297\) 0.909919 + 1.09990i 0.0527988 + 0.0638228i
\(298\) −1.93545 + 4.11304i −0.112117 + 0.238262i
\(299\) −2.96709 + 2.15572i −0.171591 + 0.124668i
\(300\) −4.23767 + 2.65371i −0.244662 + 0.153212i
\(301\) −38.3274 27.8465i −2.20915 1.60504i
\(302\) −16.8709 + 9.27487i −0.970812 + 0.533709i
\(303\) 0.930094 + 0.238808i 0.0534325 + 0.0137191i
\(304\) −2.31373 2.79682i −0.132702 0.160409i
\(305\) −16.3985 + 14.3699i −0.938977 + 0.822818i
\(306\) 3.00480 + 1.18969i 0.171773 + 0.0680098i
\(307\) 22.2930 1.27233 0.636163 0.771555i \(-0.280521\pi\)
0.636163 + 0.771555i \(0.280521\pi\)
\(308\) −6.39002 2.52999i −0.364105 0.144160i
\(309\) 5.89875 + 3.24287i 0.335568 + 0.184480i
\(310\) −16.2144 4.76360i −0.920915 0.270554i
\(311\) 6.58303 + 34.5095i 0.373290 + 1.95685i 0.273654 + 0.961828i \(0.411768\pi\)
0.0996357 + 0.995024i \(0.468232\pi\)
\(312\) 1.12268 1.05426i 0.0635590 0.0596859i
\(313\) 10.1425 9.52446i 0.573289 0.538354i −0.342759 0.939424i \(-0.611361\pi\)
0.916048 + 0.401069i \(0.131361\pi\)
\(314\) 0.695481 + 3.64584i 0.0392483 + 0.205747i
\(315\) 10.3290 + 3.03454i 0.581972 + 0.170977i
\(316\) −8.97963 4.93659i −0.505143 0.277705i
\(317\) −7.59965 3.00891i −0.426839 0.168997i 0.144876 0.989450i \(-0.453722\pi\)
−0.571715 + 0.820452i \(0.693722\pi\)
\(318\) 9.81300 0.550286
\(319\) 4.05717 + 1.60635i 0.227158 + 0.0899382i
\(320\) −1.68174 + 1.47369i −0.0940119 + 0.0823818i
\(321\) −1.28885 1.55796i −0.0719368 0.0869566i
\(322\) −11.1049 2.85125i −0.618851 0.158894i
\(323\) 10.2797 5.65129i 0.571975 0.314446i
\(324\) −0.809017 0.587785i −0.0449454 0.0326547i
\(325\) −7.68220 0.529695i −0.426132 0.0293822i
\(326\) −18.8049 + 13.6625i −1.04151 + 0.756699i
\(327\) −0.278406 + 0.591643i −0.0153959 + 0.0327179i
\(328\) −5.10706 6.17338i −0.281990 0.340868i
\(329\) −16.4580 + 25.9337i −0.907360 + 1.42977i
\(330\) −0.0906744 3.19068i −0.00499146 0.175641i
\(331\) −7.25547 + 8.77036i −0.398797 + 0.482063i −0.931242 0.364402i \(-0.881273\pi\)
0.532445 + 0.846465i \(0.321273\pi\)
\(332\) 5.07247 3.68536i 0.278388 0.202261i
\(333\) 0.0973982 + 0.153475i 0.00533739 + 0.00841038i
\(334\) 1.91644 10.0463i 0.104863 0.549711i
\(335\) −4.98600 32.1045i −0.272414 1.75406i
\(336\) 4.77652 + 0.603415i 0.260581 + 0.0329190i
\(337\) 1.65897 8.69664i 0.0903701 0.473736i −0.908115 0.418720i \(-0.862479\pi\)
0.998485 0.0550164i \(-0.0175211\pi\)
\(338\) −10.5443 + 1.33206i −0.573536 + 0.0724544i
\(339\) 0.738769 0.406142i 0.0401244 0.0220586i
\(340\) −3.65983 6.23110i −0.198482 0.337929i
\(341\) 7.86458 7.38533i 0.425891 0.399938i
\(342\) −3.51578 + 0.902699i −0.190112 + 0.0488124i
\(343\) 35.7532 + 25.9762i 1.93049 + 1.40258i
\(344\) 0.617868 9.82074i 0.0333132 0.529499i
\(345\) −0.817191 5.26183i −0.0439961 0.283287i
\(346\) −10.5909 + 4.19322i −0.569369 + 0.225429i
\(347\) −14.2534 + 5.64333i −0.765164 + 0.302950i −0.718098 0.695942i \(-0.754987\pi\)
−0.0470661 + 0.998892i \(0.514987\pi\)
\(348\) −3.03272 0.383122i −0.162571 0.0205375i
\(349\) −1.57259 + 4.83993i −0.0841787 + 0.259075i −0.984283 0.176600i \(-0.943490\pi\)
0.900104 + 0.435675i \(0.143490\pi\)
\(350\) −14.0321 19.5597i −0.750048 1.04551i
\(351\) −0.475913 1.46471i −0.0254024 0.0781805i
\(352\) −0.267486 1.40221i −0.0142570 0.0747380i
\(353\) −0.451756 7.18046i −0.0240446 0.382177i −0.991585 0.129460i \(-0.958676\pi\)
0.967540 0.252717i \(-0.0813243\pi\)
\(354\) 12.0872 + 3.10346i 0.642426 + 0.164947i
\(355\) 6.68123 18.3843i 0.354603 0.975738i
\(356\) 5.86488 + 9.24157i 0.310838 + 0.489802i
\(357\) −4.80805 + 14.7977i −0.254469 + 0.783176i
\(358\) −0.697785 + 11.0910i −0.0368791 + 0.586176i
\(359\) −25.2764 + 3.19315i −1.33404 + 0.168528i −0.759798 0.650159i \(-0.774702\pi\)
−0.574240 + 0.818687i \(0.694702\pi\)
\(360\) 0.617388 + 2.14915i 0.0325392 + 0.113270i
\(361\) 2.47991 5.27008i 0.130522 0.277373i
\(362\) 9.42176 + 20.0223i 0.495197 + 1.05235i
\(363\) −7.85369 4.31760i −0.412212 0.226615i
\(364\) 5.40511 + 5.07573i 0.283305 + 0.266041i
\(365\) −3.10098 1.84652i −0.162313 0.0966511i
\(366\) 4.15176 + 8.82293i 0.217016 + 0.461182i
\(367\) 12.4537 15.0539i 0.650077 0.785808i −0.337771 0.941228i \(-0.609673\pi\)
0.987849 + 0.155420i \(0.0496730\pi\)
\(368\) −0.735884 2.26482i −0.0383606 0.118062i
\(369\) −7.76032 + 1.99251i −0.403986 + 0.103726i
\(370\) 0.0394665 0.404533i 0.00205177 0.0210307i
\(371\) 2.96651 + 47.1513i 0.154013 + 2.44797i
\(372\) −4.04964 + 6.38122i −0.209964 + 0.330851i
\(373\) −19.6009 18.4064i −1.01489 0.953050i −0.0159917 0.999872i \(-0.505091\pi\)
−0.998903 + 0.0468223i \(0.985091\pi\)
\(374\) 4.61330 0.238548
\(375\) 5.77778 9.57169i 0.298363 0.494280i
\(376\) −6.37975 −0.329010
\(377\) −3.43182 3.22270i −0.176748 0.165977i
\(378\) 2.57973 4.06500i 0.132687 0.209081i
\(379\) 1.91144 + 30.3815i 0.0981843 + 1.56059i 0.671341 + 0.741149i \(0.265719\pi\)
−0.573156 + 0.819446i \(0.694281\pi\)
\(380\) 7.43926 + 3.24583i 0.381626 + 0.166508i
\(381\) −17.9197 + 4.60101i −0.918056 + 0.235717i
\(382\) 0.654490 + 2.01431i 0.0334866 + 0.103061i
\(383\) 16.4019 19.8265i 0.838099 1.01309i −0.161557 0.986863i \(-0.551652\pi\)
0.999656 0.0262245i \(-0.00834847\pi\)
\(384\) 0.425779 + 0.904827i 0.0217280 + 0.0461743i
\(385\) 15.3038 1.40025i 0.779953 0.0713631i
\(386\) −2.53294 2.37859i −0.128923 0.121067i
\(387\) −8.62299 4.74053i −0.438331 0.240975i
\(388\) −2.62268 5.57349i −0.133147 0.282951i
\(389\) −15.0546 + 31.9927i −0.763300 + 1.62209i 0.0194919 + 0.999810i \(0.493795\pi\)
−0.782791 + 0.622284i \(0.786205\pi\)
\(390\) −1.17626 + 3.23663i −0.0595621 + 0.163893i
\(391\) 7.63530 0.964563i 0.386134 0.0487801i
\(392\) −1.01590 + 16.1473i −0.0513109 + 0.815564i
\(393\) 0.987421 3.03897i 0.0498088 0.153296i
\(394\) 1.41555 + 2.23055i 0.0713145 + 0.112374i
\(395\) 22.8997 + 0.788542i 1.15221 + 0.0396759i
\(396\) −1.38265 0.355003i −0.0694806 0.0178396i
\(397\) −0.864197 13.7360i −0.0433728 0.689391i −0.958299 0.285769i \(-0.907751\pi\)
0.914926 0.403622i \(-0.132249\pi\)
\(398\) −3.05837 16.0326i −0.153302 0.803640i
\(399\) −5.40029 16.6204i −0.270353 0.832060i
\(400\) 1.86853 4.63774i 0.0934265 0.231887i
\(401\) 1.15180 3.54488i 0.0575182 0.177023i −0.918170 0.396187i \(-0.870333\pi\)
0.975688 + 0.219164i \(0.0703331\pi\)
\(402\) −14.4151 1.82105i −0.718960 0.0908258i
\(403\) −10.8222 + 4.28482i −0.539093 + 0.213442i
\(404\) −0.892830 + 0.353496i −0.0444199 + 0.0175871i
\(405\) 2.20748 + 0.356433i 0.109690 + 0.0177113i
\(406\) 0.924091 14.6880i 0.0458618 0.728953i
\(407\) 0.209922 + 0.152517i 0.0104055 + 0.00756000i
\(408\) −3.13021 + 0.803703i −0.154969 + 0.0397892i
\(409\) −12.8083 + 12.0278i −0.633328 + 0.594734i −0.933249 0.359230i \(-0.883040\pi\)
0.299922 + 0.953964i \(0.403040\pi\)
\(410\) 16.4205 + 7.16446i 0.810952 + 0.353827i
\(411\) 12.2023 6.70829i 0.601896 0.330895i
\(412\) −6.67830 + 0.843666i −0.329016 + 0.0415644i
\(413\) −11.2581 + 59.0168i −0.553973 + 2.90403i
\(414\) −2.36259 0.298465i −0.116115 0.0146688i
\(415\) −6.40243 + 12.4727i −0.314283 + 0.612260i
\(416\) −0.288584 + 1.51281i −0.0141490 + 0.0741716i
\(417\) 5.58491 + 8.80042i 0.273494 + 0.430958i
\(418\) −4.19196 + 3.04564i −0.205035 + 0.148967i
\(419\) 13.1227 15.8627i 0.641088 0.774942i −0.345457 0.938435i \(-0.612276\pi\)
0.986545 + 0.163493i \(0.0522760\pi\)
\(420\) −10.1400 + 3.61623i −0.494780 + 0.176454i
\(421\) 2.40032 3.78230i 0.116984 0.184338i −0.780790 0.624794i \(-0.785183\pi\)
0.897774 + 0.440456i \(0.145183\pi\)
\(422\) −8.98931 10.8662i −0.437593 0.528959i
\(423\) −2.71636 + 5.77257i −0.132074 + 0.280672i
\(424\) −7.93888 + 5.76794i −0.385546 + 0.280116i
\(425\) 13.5910 + 8.74012i 0.659260 + 0.423958i
\(426\) −7.07714 5.14184i −0.342888 0.249123i
\(427\) −41.1390 + 22.6163i −1.99085 + 1.09448i
\(428\) 1.95845 + 0.502844i 0.0946652 + 0.0243059i
\(429\) −1.40135 1.69395i −0.0676580 0.0817845i
\(430\) 8.67782 + 20.2198i 0.418482 + 0.975083i
\(431\) 37.2393 + 14.7441i 1.79375 + 0.710197i 0.993937 + 0.109954i \(0.0350703\pi\)
0.799817 + 0.600243i \(0.204930\pi\)
\(432\) 1.00000 0.0481125
\(433\) 15.0144 + 5.94464i 0.721548 + 0.285681i 0.700056 0.714088i \(-0.253158\pi\)
0.0214920 + 0.999769i \(0.493158\pi\)
\(434\) −31.8859 17.5294i −1.53057 0.841438i
\(435\) 6.43810 2.29603i 0.308683 0.110086i
\(436\) −0.122524 0.642292i −0.00586783 0.0307602i
\(437\) −6.30117 + 5.91719i −0.301426 + 0.283058i
\(438\) −1.17659 + 1.10489i −0.0562196 + 0.0527937i
\(439\) −6.36775 33.3809i −0.303916 1.59318i −0.726702 0.686953i \(-0.758948\pi\)
0.422786 0.906230i \(-0.361052\pi\)
\(440\) 1.94879 + 2.52802i 0.0929051 + 0.120519i
\(441\) 14.1780 + 7.79442i 0.675143 + 0.371163i
\(442\) −4.62766 1.83222i −0.220115 0.0871498i
\(443\) −32.1300 −1.52654 −0.763272 0.646077i \(-0.776408\pi\)
−0.763272 + 0.646077i \(0.776408\pi\)
\(444\) −0.169007 0.0669147i −0.00802072 0.00317563i
\(445\) −21.0290 12.5219i −0.996869 0.593597i
\(446\) 3.75504 + 4.53907i 0.177807 + 0.214931i
\(447\) −4.40285 1.13046i −0.208248 0.0534689i
\(448\) −4.21896 + 2.31940i −0.199327 + 0.109581i
\(449\) 21.3527 + 15.5136i 1.00769 + 0.732133i 0.963724 0.266900i \(-0.0859994\pi\)
0.0439701 + 0.999033i \(0.485999\pi\)
\(450\) −3.40077 3.66535i −0.160314 0.172786i
\(451\) −9.25283 + 6.72257i −0.435699 + 0.316554i
\(452\) −0.358953 + 0.762814i −0.0168837 + 0.0358797i
\(453\) −12.2719 14.8342i −0.576583 0.696969i
\(454\) 13.8600 21.8398i 0.650481 1.02499i
\(455\) −15.9075 4.67345i −0.745757 0.219095i
\(456\) 2.31373 2.79682i 0.108351 0.130973i
\(457\) −1.38813 + 1.00854i −0.0649340 + 0.0471773i −0.619779 0.784777i \(-0.712778\pi\)
0.554845 + 0.831954i \(0.312778\pi\)
\(458\) 4.14501 + 6.53149i 0.193684 + 0.305196i
\(459\) −0.605569 + 3.17450i −0.0282655 + 0.148173i
\(460\) 3.75395 + 3.77658i 0.175029 + 0.176084i
\(461\) 32.2852 + 4.07856i 1.50367 + 0.189958i 0.833612 0.552351i \(-0.186269\pi\)
0.670058 + 0.742309i \(0.266269\pi\)
\(462\) 1.28781 6.75091i 0.0599141 0.314081i
\(463\) −31.7149 + 4.00653i −1.47392 + 0.186199i −0.820869 0.571116i \(-0.806511\pi\)
−0.653049 + 0.757316i \(0.726511\pi\)
\(464\) 2.67872 1.47264i 0.124356 0.0683655i
\(465\) 1.64095 16.8198i 0.0760972 0.779999i
\(466\) −12.7638 + 11.9860i −0.591270 + 0.555239i
\(467\) −7.48723 + 1.92239i −0.346468 + 0.0889578i −0.417914 0.908487i \(-0.637239\pi\)
0.0714461 + 0.997444i \(0.477239\pi\)
\(468\) 1.24596 + 0.905241i 0.0575944 + 0.0418448i
\(469\) 4.39238 69.8149i 0.202821 3.22375i
\(470\) 12.7301 6.43820i 0.587196 0.296972i
\(471\) −3.45094 + 1.36633i −0.159011 + 0.0629569i
\(472\) −11.6029 + 4.59391i −0.534066 + 0.211452i
\(473\) −13.9360 1.76053i −0.640778 0.0809490i
\(474\) 3.16654 9.74560i 0.145444 0.447630i
\(475\) −18.1198 + 1.03071i −0.831394 + 0.0472921i
\(476\) −4.80805 14.7977i −0.220377 0.678250i
\(477\) 1.83877 + 9.63919i 0.0841916 + 0.441348i
\(478\) −0.527210 8.37976i −0.0241140 0.383281i
\(479\) 8.12364 + 2.08580i 0.371178 + 0.0953024i 0.429671 0.902985i \(-0.358629\pi\)
−0.0584928 + 0.998288i \(0.518629\pi\)
\(480\) −1.76271 1.37581i −0.0804565 0.0627966i
\(481\) −0.150002 0.236365i −0.00683949 0.0107773i
\(482\) −5.70316 + 17.5525i −0.259772 + 0.799496i
\(483\) 0.719898 11.4425i 0.0327565 0.520650i
\(484\) 8.89159 1.12327i 0.404163 0.0510577i
\(485\) 10.8578 + 8.47459i 0.493029 + 0.384811i
\(486\) 0.425779 0.904827i 0.0193137 0.0410438i
\(487\) −2.99963 6.37454i −0.135926 0.288858i 0.825263 0.564749i \(-0.191027\pi\)
−0.961189 + 0.275891i \(0.911027\pi\)
\(488\) −8.54483 4.69756i −0.386806 0.212649i
\(489\) −16.9442 15.9117i −0.766245 0.719552i
\(490\) −14.2681 33.2455i −0.644569 1.50188i
\(491\) 13.1385 + 27.9207i 0.592931 + 1.26004i 0.945915 + 0.324413i \(0.105167\pi\)
−0.352984 + 0.935629i \(0.614833\pi\)
\(492\) 5.10706 6.17338i 0.230244 0.278317i
\(493\) 3.05274 + 9.39538i 0.137489 + 0.423147i
\(494\) 5.41461 1.39024i 0.243615 0.0625497i
\(495\) 3.11718 0.686943i 0.140107 0.0308758i
\(496\) −0.474555 7.54283i −0.0213081 0.338683i
\(497\) 22.5670 35.5599i 1.01227 1.59508i
\(498\) 4.57057 + 4.29205i 0.204812 + 0.192331i
\(499\) −7.64895 −0.342414 −0.171207 0.985235i \(-0.554767\pi\)
−0.171207 + 0.985235i \(0.554767\pi\)
\(500\) 0.951775 + 11.1398i 0.0425647 + 0.498185i
\(501\) 10.2275 0.456931
\(502\) 12.7584 + 11.9809i 0.569435 + 0.534735i
\(503\) −20.7415 + 32.6834i −0.924817 + 1.45728i −0.0358240 + 0.999358i \(0.511406\pi\)
−0.888993 + 0.457921i \(0.848594\pi\)
\(504\) 0.302304 + 4.80498i 0.0134657 + 0.214031i
\(505\) 1.42481 1.60637i 0.0634032 0.0714827i
\(506\) −3.29259 + 0.845395i −0.146374 + 0.0375824i
\(507\) −3.28427 10.1080i −0.145860 0.448910i
\(508\) 11.7930 14.2552i 0.523228 0.632474i
\(509\) −10.6927 22.7232i −0.473947 1.00719i −0.988708 0.149856i \(-0.952119\pi\)
0.514760 0.857334i \(-0.327881\pi\)
\(510\) 5.43494 4.76260i 0.240663 0.210891i
\(511\) −5.66467 5.31948i −0.250590 0.235320i
\(512\) −0.876307 0.481754i −0.0387276 0.0212907i
\(513\) −1.54550 3.28436i −0.0682356 0.145008i
\(514\) −11.9515 + 25.3981i −0.527156 + 1.12026i
\(515\) 12.4744 8.42293i 0.549690 0.371159i
\(516\) 9.76256 1.23330i 0.429773 0.0542929i
\(517\) −0.571836 + 9.08908i −0.0251493 + 0.399737i
\(518\) 0.270432 0.832305i 0.0118821 0.0365694i
\(519\) −6.10348 9.61754i −0.267913 0.422163i
\(520\) −0.950831 3.30988i −0.0416967 0.145148i
\(521\) 30.8890 + 7.93095i 1.35327 + 0.347461i 0.854581 0.519318i \(-0.173814\pi\)
0.498691 + 0.866780i \(0.333814\pi\)
\(522\) −0.191940 3.05079i −0.00840097 0.133530i
\(523\) −4.42403 23.1916i −0.193449 1.01410i −0.938027 0.346562i \(-0.887349\pi\)
0.744578 0.667536i \(-0.232651\pi\)
\(524\) 0.987421 + 3.03897i 0.0431357 + 0.132758i
\(525\) 16.5839 17.4487i 0.723780 0.761523i
\(526\) 1.64001 5.04744i 0.0715080 0.220079i
\(527\) 24.2321 + 3.06123i 1.05557 + 0.133349i
\(528\) 1.32725 0.525495i 0.0577611 0.0228693i
\(529\) 16.1122 6.37926i 0.700529 0.277359i
\(530\) 10.0204 19.5209i 0.435259 0.847935i
\(531\) −0.783577 + 12.4546i −0.0340043 + 0.540483i
\(532\) 14.1381 + 10.2720i 0.612966 + 0.445346i
\(533\) 11.9516 3.06864i 0.517680 0.132918i
\(534\) −7.97891 + 7.49269i −0.345281 + 0.324240i
\(535\) −4.41532 + 0.973020i −0.190891 + 0.0420673i
\(536\) 12.7325 6.99973i 0.549958 0.302342i
\(537\) −11.0253 + 1.39282i −0.475775 + 0.0601044i
\(538\) −1.98969 + 10.4303i −0.0857817 + 0.449683i
\(539\) 22.9137 + 2.89467i 0.986962 + 0.124682i
\(540\) −1.99539 + 1.00916i −0.0858680 + 0.0434274i
\(541\) −6.02055 + 31.5608i −0.258843 + 1.35691i 0.580924 + 0.813958i \(0.302692\pi\)
−0.839767 + 0.542947i \(0.817308\pi\)
\(542\) −2.75013 4.33351i −0.118128 0.186140i
\(543\) −17.9021 + 13.0067i −0.768255 + 0.558170i
\(544\) 2.05999 2.49010i 0.0883215 0.106762i
\(545\) 0.892660 + 1.15798i 0.0382374 + 0.0496024i
\(546\) −3.97301 + 6.26046i −0.170029 + 0.267923i
\(547\) 10.9175 + 13.1970i 0.466800 + 0.564264i 0.950402 0.311024i \(-0.100672\pi\)
−0.483602 + 0.875288i \(0.660672\pi\)
\(548\) −5.92886 + 12.5995i −0.253268 + 0.538223i
\(549\) −7.88869 + 5.73147i −0.336681 + 0.244613i
\(550\) −6.43979 3.07775i −0.274594 0.131236i
\(551\) −8.97663 6.52191i −0.382417 0.277842i
\(552\) 2.08681 1.14723i 0.0888206 0.0488296i
\(553\) 47.7847 + 12.2690i 2.03201 + 0.521732i
\(554\) −16.1919 19.5727i −0.687930 0.831564i
\(555\) 0.404763 0.0370345i 0.0171812 0.00157203i
\(556\) −9.69104 3.83696i −0.410992 0.162723i
\(557\) −20.9445 −0.887445 −0.443723 0.896164i \(-0.646342\pi\)
−0.443723 + 0.896164i \(0.646342\pi\)
\(558\) −7.02702 2.78219i −0.297477 0.117780i
\(559\) 13.2802 + 7.30083i 0.561691 + 0.308792i
\(560\) 6.07785 8.88572i 0.256836 0.375490i
\(561\) 0.864446 + 4.53158i 0.0364969 + 0.191324i
\(562\) −4.05021 + 3.80340i −0.170848 + 0.160437i
\(563\) −2.28233 + 2.14325i −0.0961889 + 0.0903274i −0.731150 0.682217i \(-0.761016\pi\)
0.634961 + 0.772544i \(0.281016\pi\)
\(564\) −1.19545 6.26674i −0.0503373 0.263878i
\(565\) −0.0535505 1.88435i −0.00225289 0.0792754i
\(566\) 17.3448 + 9.53540i 0.729057 + 0.400803i
\(567\) 4.47639 + 1.77233i 0.187991 + 0.0744309i
\(568\) 8.74782 0.367050
\(569\) 27.5234 + 10.8973i 1.15384 + 0.456839i 0.865608 0.500721i \(-0.166932\pi\)
0.288234 + 0.957560i \(0.406932\pi\)
\(570\) −1.79436 + 7.91570i −0.0751575 + 0.331552i
\(571\) 7.28985 + 8.81192i 0.305071 + 0.368767i 0.900662 0.434520i \(-0.143082\pi\)
−0.595591 + 0.803288i \(0.703082\pi\)
\(572\) 2.12940 + 0.546736i 0.0890346 + 0.0228602i
\(573\) −1.85599 + 1.02034i −0.0775353 + 0.0426254i
\(574\) 31.2069 + 22.6731i 1.30255 + 0.946357i
\(575\) −11.3018 3.74741i −0.471317 0.156278i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) 11.5506 24.5463i 0.480858 1.02187i −0.506334 0.862337i \(-0.669000\pi\)
0.987192 0.159537i \(-0.0510001\pi\)
\(578\) −4.17883 5.05134i −0.173817 0.210108i
\(579\) 1.86183 2.93378i 0.0773752 0.121924i
\(580\) −3.85896 + 5.64175i −0.160235 + 0.234261i
\(581\) −19.2415 + 23.2590i −0.798273 + 0.964947i
\(582\) 4.98333 3.62060i 0.206565 0.150079i
\(583\) 7.50586 + 11.8273i 0.310861 + 0.489838i
\(584\) 0.302442 1.58546i 0.0125151 0.0656067i
\(585\) −3.39971 0.548939i −0.140561 0.0226958i
\(586\) 11.9264 + 1.50666i 0.492675 + 0.0622394i
\(587\) −1.79423 + 9.40570i −0.0740559 + 0.388215i 0.925890 + 0.377794i \(0.123317\pi\)
−0.999946 + 0.0104211i \(0.996683\pi\)
\(588\) −16.0517 + 2.02780i −0.661960 + 0.0836250i
\(589\) −24.0400 + 13.2161i −0.990549 + 0.544559i
\(590\) 18.5163 20.8758i 0.762305 0.859445i
\(591\) −1.92580 + 1.80844i −0.0792167 + 0.0743894i
\(592\) 0.176061 0.0452048i 0.00723607 0.00185791i
\(593\) −15.9443 11.5842i −0.654756 0.475708i 0.210132 0.977673i \(-0.432611\pi\)
−0.864888 + 0.501965i \(0.832611\pi\)
\(594\) 0.0896331 1.42468i 0.00367769 0.0584552i
\(595\) 24.5272 + 24.6751i 1.00552 + 1.01158i
\(596\) 4.22645 1.67337i 0.173122 0.0685439i
\(597\) 15.1755 6.00840i 0.621092 0.245908i
\(598\) 3.63860 + 0.459662i 0.148794 + 0.0187970i
\(599\) 7.11232 21.8895i 0.290602 0.894380i −0.694062 0.719915i \(-0.744181\pi\)
0.984663 0.174465i \(-0.0558194\pi\)
\(600\) 4.90572 + 0.966408i 0.200275 + 0.0394534i
\(601\) 4.02000 + 12.3723i 0.163979 + 0.504677i 0.998960 0.0456033i \(-0.0145210\pi\)
−0.834980 + 0.550280i \(0.814521\pi\)
\(602\) 8.87724 + 46.5361i 0.361809 + 1.89667i
\(603\) −0.912326 14.5010i −0.0371528 0.590527i
\(604\) 18.6475 + 4.78785i 0.758754 + 0.194815i
\(605\) −16.6087 + 11.2144i −0.675238 + 0.455931i
\(606\) −0.514534 0.810776i −0.0209015 0.0329355i
\(607\) 14.9533 46.0214i 0.606934 1.86795i 0.124030 0.992279i \(-0.460418\pi\)
0.482905 0.875673i \(-0.339582\pi\)
\(608\) −0.227918 + 3.62266i −0.00924331 + 0.146918i
\(609\) 14.6010 1.84453i 0.591662 0.0747443i
\(610\) 21.7909 + 0.750361i 0.882287 + 0.0303812i
\(611\) 4.18344 8.89026i 0.169244 0.359662i
\(612\) −1.37601 2.92417i −0.0556219 0.118203i
\(613\) 6.66838 + 3.66597i 0.269333 + 0.148067i 0.610698 0.791864i \(-0.290889\pi\)
−0.341365 + 0.939931i \(0.610889\pi\)
\(614\) −16.2509 15.2606i −0.655831 0.615867i
\(615\) −3.96066 + 17.4722i −0.159709 + 0.704546i
\(616\) 2.92623 + 6.21856i 0.117901 + 0.250553i
\(617\) 1.93037 2.33341i 0.0777136 0.0939396i −0.730223 0.683208i \(-0.760584\pi\)
0.807937 + 0.589269i \(0.200584\pi\)
\(618\) −2.08011 6.40192i −0.0836743 0.257523i
\(619\) −10.9029 + 2.79939i −0.438225 + 0.112517i −0.461355 0.887215i \(-0.652637\pi\)
0.0231304 + 0.999732i \(0.492637\pi\)
\(620\) 8.55886 + 14.5720i 0.343732 + 0.585226i
\(621\) −0.149528 2.37667i −0.00600034 0.0953726i
\(622\) 18.8245 29.6627i 0.754795 1.18937i
\(623\) −38.4143 36.0734i −1.53904 1.44525i
\(624\) −1.54009 −0.0616529
\(625\) −13.1410 21.2677i −0.525639 0.850708i
\(626\) −13.9135 −0.556096
\(627\) −3.77718 3.54701i −0.150846 0.141654i
\(628\) 1.98877 3.13379i 0.0793604 0.125052i
\(629\) 0.0368857 + 0.586281i 0.00147073 + 0.0233766i
\(630\) −5.45222 9.28276i −0.217222 0.369834i
\(631\) 35.1177 9.01670i 1.39802 0.358949i 0.526858 0.849953i \(-0.323370\pi\)
0.871157 + 0.491004i \(0.163370\pi\)
\(632\) 3.16654 + 9.74560i 0.125958 + 0.387659i
\(633\) 8.98931 10.8662i 0.357293 0.431893i
\(634\) 3.48016 + 7.39572i 0.138215 + 0.293722i
\(635\) −9.14575 + 40.3458i −0.362938 + 1.60108i
\(636\) −7.15337 6.71746i −0.283650 0.266365i
\(637\) −21.8354 12.0041i −0.865148 0.475619i
\(638\) −1.85793 3.94830i −0.0735562 0.156315i
\(639\) 3.72464 7.91526i 0.147345 0.313123i
\(640\) 2.23474 + 0.0769525i 0.0883360 + 0.00304182i
\(641\) −11.2613 + 1.42264i −0.444796 + 0.0561909i −0.344542 0.938771i \(-0.611966\pi\)
−0.100255 + 0.994962i \(0.531966\pi\)
\(642\) −0.126961 + 2.01798i −0.00501074 + 0.0796434i
\(643\) −2.10287 + 6.47196i −0.0829290 + 0.255229i −0.983920 0.178608i \(-0.942841\pi\)
0.900991 + 0.433837i \(0.142841\pi\)
\(644\) 6.14330 + 9.68029i 0.242080 + 0.381457i
\(645\) −18.2355 + 12.3129i −0.718024 + 0.484821i
\(646\) −11.3621 2.91730i −0.447036 0.114779i
\(647\) −2.65574 42.2118i −0.104408 1.65952i −0.606784 0.794867i \(-0.707541\pi\)
0.502376 0.864649i \(-0.332459\pi\)
\(648\) 0.187381 + 0.982287i 0.00736103 + 0.0385879i
\(649\) 5.50483 + 16.9421i 0.216084 + 0.665037i
\(650\) 5.23748 + 5.64496i 0.205431 + 0.221414i
\(651\) 11.2441 34.6058i 0.440691 1.35631i
\(652\) 23.0608 + 2.91326i 0.903132 + 0.114092i
\(653\) −20.6338 + 8.16948i −0.807461 + 0.319697i −0.735339 0.677699i \(-0.762977\pi\)
−0.0721222 + 0.997396i \(0.522977\pi\)
\(654\) 0.607957 0.240707i 0.0237730 0.00941240i
\(655\) −5.03711 5.06747i −0.196816 0.198002i
\(656\) −0.503080 + 7.99622i −0.0196420 + 0.312200i
\(657\) −1.30579 0.948712i −0.0509437 0.0370128i
\(658\) 29.7502 7.63856i 1.15978 0.297782i
\(659\) −9.19770 + 8.63722i −0.358292 + 0.336458i −0.842700 0.538384i \(-0.819035\pi\)
0.484408 + 0.874842i \(0.339035\pi\)
\(660\) −2.11807 + 2.38798i −0.0824460 + 0.0929520i
\(661\) 31.6266 17.3869i 1.23013 0.676270i 0.271916 0.962321i \(-0.412343\pi\)
0.958214 + 0.286051i \(0.0923426\pi\)
\(662\) 11.2927 1.42660i 0.438905 0.0554466i
\(663\) 0.932629 4.88901i 0.0362203 0.189874i
\(664\) −6.22047 0.785828i −0.241401 0.0304961i
\(665\) −38.5772 6.22893i −1.49596 0.241547i
\(666\) 0.0340606 0.178552i 0.00131982 0.00691875i
\(667\) −3.90052 6.14623i −0.151029 0.237983i
\(668\) −8.27422 + 6.01157i −0.320139 + 0.232595i
\(669\) −3.75504 + 4.53907i −0.145178 + 0.175491i
\(670\) −18.3424 + 26.8163i −0.708629 + 1.03600i
\(671\) −7.45840 + 11.7526i −0.287928 + 0.453703i
\(672\) −3.06887 3.70962i −0.118384 0.143102i
\(673\) −3.27537 + 6.96051i −0.126256 + 0.268308i −0.957955 0.286919i \(-0.907369\pi\)
0.831699 + 0.555228i \(0.187369\pi\)
\(674\) −7.16260 + 5.20394i −0.275893 + 0.200448i
\(675\) 2.96318 4.02735i 0.114053 0.155013i
\(676\) 8.59834 + 6.24706i 0.330705 + 0.240271i
\(677\) 41.4602 22.7930i 1.59345 0.876005i 0.596123 0.802893i \(-0.296707\pi\)
0.997324 0.0731116i \(-0.0232929\pi\)
\(678\) −0.816563 0.209658i −0.0313599 0.00805186i
\(679\) 18.9034 + 22.8503i 0.725446 + 0.876913i
\(680\) −1.59758 + 7.04760i −0.0612643 + 0.270263i
\(681\) 24.0501 + 9.52210i 0.921601 + 0.364888i
\(682\) −10.7886 −0.413118
\(683\) 35.4365 + 14.0303i 1.35594 + 0.536854i 0.929887 0.367844i \(-0.119904\pi\)
0.426052 + 0.904699i \(0.359904\pi\)
\(684\) 3.18084 + 1.74868i 0.121622 + 0.0668624i
\(685\) −0.884499 31.1241i −0.0337950 1.18919i
\(686\) −8.28102 43.4106i −0.316171 1.65743i
\(687\) −5.63910 + 5.29547i −0.215145 + 0.202035i
\(688\) −7.17316 + 6.73605i −0.273474 + 0.256809i
\(689\) −2.83187 14.8452i −0.107886 0.565557i
\(690\) −3.00626 + 4.39511i −0.114447 + 0.167319i
\(691\) −8.29613 4.56083i −0.315600 0.173502i 0.316079 0.948733i \(-0.397634\pi\)
−0.631678 + 0.775231i \(0.717634\pi\)
\(692\) 10.5909 + 4.19322i 0.402604 + 0.159402i
\(693\) 6.87265 0.261070
\(694\) 14.2534 + 5.64333i 0.541053 + 0.214218i
\(695\) 23.2095 2.12360i 0.880388 0.0805527i
\(696\) 1.94849 + 2.35532i 0.0738575 + 0.0892784i
\(697\) −25.0794 6.43929i −0.949949 0.243906i
\(698\) 4.45952 2.45164i 0.168796 0.0927961i
\(699\) −14.1654 10.2917i −0.535783 0.389269i
\(700\) −3.16056 + 23.8640i −0.119458 + 0.901976i
\(701\) −12.1828 + 8.85129i −0.460136 + 0.334309i −0.793585 0.608460i \(-0.791788\pi\)
0.333448 + 0.942768i \(0.391788\pi\)
\(702\) −0.655738 + 1.39351i −0.0247492 + 0.0525948i
\(703\) −0.420572 0.508384i −0.0158622 0.0191741i
\(704\) −0.764889 + 1.20527i −0.0288278 + 0.0454254i
\(705\) 8.70954 + 11.2982i 0.328020 + 0.425516i
\(706\) −4.58605 + 5.54358i −0.172598 + 0.208635i
\(707\) 3.74022 2.71743i 0.140666 0.102199i
\(708\) −6.68670 10.5366i −0.251302 0.395988i
\(709\) −8.13093 + 42.6238i −0.305364 + 1.60077i 0.416766 + 0.909014i \(0.363164\pi\)
−0.722129 + 0.691758i \(0.756836\pi\)
\(710\) −17.4553 + 8.82797i −0.655087 + 0.331308i
\(711\) 10.1663 + 1.28431i 0.381267 + 0.0481652i
\(712\) 2.05098 10.7516i 0.0768636 0.402933i
\(713\) −17.8559 + 2.25572i −0.668708 + 0.0844775i
\(714\) 13.6346 7.49570i 0.510263 0.280519i
\(715\) −4.80073 + 1.05795i −0.179537 + 0.0395652i
\(716\) 8.10095 7.60730i 0.302747 0.284298i
\(717\) 8.13254 2.08808i 0.303715 0.0779808i
\(718\) 20.6116 + 14.9752i 0.769217 + 0.558869i
\(719\) 2.24926 35.7510i 0.0838834 1.33329i −0.700785 0.713372i \(-0.747167\pi\)
0.784669 0.619916i \(-0.212833\pi\)
\(720\) 1.02114 1.98929i 0.0380555 0.0741365i
\(721\) 30.1323 11.9302i 1.12219 0.444305i
\(722\) −5.41540 + 2.14411i −0.201540 + 0.0797954i
\(723\) −18.3103 2.31313i −0.680967 0.0860261i
\(724\) 6.83801 21.0452i 0.254133 0.782140i
\(725\) 2.00671 15.1518i 0.0745273 0.562725i
\(726\) 2.76949 + 8.52362i 0.102785 + 0.316341i
\(727\) 0.526878 + 2.76199i 0.0195408 + 0.102437i 0.990721 0.135908i \(-0.0433952\pi\)
−0.971181 + 0.238345i \(0.923395\pi\)
\(728\) −0.465575 7.40010i −0.0172553 0.274266i
\(729\) 0.968583 + 0.248690i 0.0358735 + 0.00921074i
\(730\) 0.996492 + 3.46882i 0.0368818 + 0.128387i
\(731\) −17.0398 26.8504i −0.630238 0.993097i
\(732\) 3.01321 9.27371i 0.111372 0.342766i
\(733\) 1.59271 25.3154i 0.0588280 0.935044i −0.852334 0.522997i \(-0.824814\pi\)
0.911162 0.412047i \(-0.135186\pi\)
\(734\) −19.3835 + 2.44870i −0.715457 + 0.0903832i
\(735\) 29.9830 20.2450i 1.10594 0.746748i
\(736\) −1.01394 + 2.15473i −0.0373743 + 0.0794244i
\(737\) −8.83110 18.7670i −0.325298 0.691293i
\(738\) 7.02100 + 3.85983i 0.258446 + 0.142082i
\(739\) 14.1347 + 13.2734i 0.519954 + 0.488270i 0.899511 0.436899i \(-0.143923\pi\)
−0.379556 + 0.925169i \(0.623923\pi\)
\(740\) −0.305692 + 0.267875i −0.0112375 + 0.00984730i
\(741\) 2.38021 + 5.05820i 0.0874392 + 0.185818i
\(742\) 30.1148 36.4025i 1.10555 1.33638i
\(743\) 2.04684 + 6.29952i 0.0750912 + 0.231107i 0.981556 0.191174i \(-0.0612295\pi\)
−0.906465 + 0.422281i \(0.861230\pi\)
\(744\) 7.32031 1.87954i 0.268375 0.0689071i
\(745\) −6.74472 + 7.60420i −0.247107 + 0.278596i
\(746\) 1.68834 + 26.8354i 0.0618146 + 0.982516i
\(747\) −3.35959 + 5.29386i −0.122921 + 0.193692i
\(748\) −3.36295 3.15802i −0.122962 0.115469i
\(749\) −9.73475 −0.355700
\(750\) −10.7641 + 3.02230i −0.393049 + 0.110359i
\(751\) −33.6328 −1.22728 −0.613638 0.789587i \(-0.710295\pi\)
−0.613638 + 0.789587i \(0.710295\pi\)
\(752\) 4.65064 + 4.36724i 0.169591 + 0.159257i
\(753\) −9.37803 + 14.7774i −0.341754 + 0.538519i
\(754\) 0.295604 + 4.69849i 0.0107653 + 0.171109i
\(755\) −42.0407 + 9.26465i −1.53002 + 0.337175i
\(756\) −4.66323 + 1.19731i −0.169600 + 0.0435459i
\(757\) −8.80285 27.0924i −0.319945 0.984689i −0.973671 0.227958i \(-0.926795\pi\)
0.653726 0.756731i \(-0.273205\pi\)
\(758\) 19.4042 23.4557i 0.704793 0.851948i
\(759\) −1.44739 3.07586i −0.0525370 0.111647i
\(760\) −3.20106 7.45863i −0.116115 0.270553i
\(761\) 6.81011 + 6.39512i 0.246866 + 0.231823i 0.798095 0.602531i \(-0.205841\pi\)
−0.551229 + 0.834354i \(0.685841\pi\)
\(762\) 16.2125 + 8.91291i 0.587318 + 0.322881i
\(763\) 1.34038 + 2.84846i 0.0485251 + 0.103121i
\(764\) 0.901789 1.91640i 0.0326256 0.0693329i
\(765\) 5.69664 + 4.44625i 0.205963 + 0.160755i
\(766\) −25.5287 + 3.22502i −0.922389 + 0.116525i
\(767\) 1.20678 19.1812i 0.0435742 0.692592i
\(768\) 0.309017 0.951057i 0.0111507 0.0343183i
\(769\) 10.7969 + 17.0131i 0.389345 + 0.613509i 0.981305 0.192458i \(-0.0616459\pi\)
−0.591961 + 0.805967i \(0.701646\pi\)
\(770\) −12.1145 9.45542i −0.436577 0.340750i
\(771\) −27.1877 6.98063i −0.979143 0.251401i
\(772\) 0.218178 + 3.46784i 0.00785239 + 0.124810i
\(773\)