Properties

Label 588.2.ba.a.187.21
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.21
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.789543 - 1.17330i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-0.753245 - 1.85273i) q^{4} +(2.68885 - 1.05530i) q^{5} +(0.955595 - 1.04252i) q^{6} +(0.891718 - 2.49095i) q^{7} +(-2.76852 - 0.579034i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.789543 - 1.17330i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-0.753245 - 1.85273i) q^{4} +(2.68885 - 1.05530i) q^{5} +(0.955595 - 1.04252i) q^{6} +(0.891718 - 2.49095i) q^{7} +(-2.76852 - 0.579034i) q^{8} +(0.955573 + 0.294755i) q^{9} +(0.884789 - 3.98802i) q^{10} +(0.268235 + 0.869598i) q^{11} +(-0.468696 - 1.94431i) q^{12} +(2.28247 + 0.520959i) q^{13} +(-2.21857 - 3.01296i) q^{14} +(2.81610 - 0.642757i) q^{15} +(-2.86524 + 2.79112i) q^{16} +(-3.81661 + 5.59793i) q^{17} +(1.10030 - 0.888447i) q^{18} +(-3.81043 + 6.59986i) q^{19} +(-3.98055 - 4.18683i) q^{20} +(1.25302 - 2.33023i) q^{21} +(1.23208 + 0.371865i) q^{22} +(-2.79569 - 4.10052i) q^{23} +(-2.65130 - 0.985193i) q^{24} +(2.45102 - 2.27421i) q^{25} +(2.41335 - 2.26669i) q^{26} +(0.900969 + 0.433884i) q^{27} +(-5.28675 + 0.224179i) q^{28} +(5.68903 - 2.73969i) q^{29} +(1.46929 - 3.81161i) q^{30} +(-1.62430 - 2.81336i) q^{31} +(1.01258 + 5.56549i) q^{32} +(0.135633 + 0.899864i) q^{33} +(3.55466 + 8.89782i) q^{34} +(-0.230994 - 7.63883i) q^{35} +(-0.173677 - 1.99244i) q^{36} +(0.408644 - 5.45298i) q^{37} +(4.73509 + 9.68163i) q^{38} +(2.17933 + 0.855325i) q^{39} +(-8.05520 + 1.36468i) q^{40} +(5.53532 + 4.41427i) q^{41} +(-1.74473 - 3.30997i) q^{42} +(-0.978269 + 0.780143i) q^{43} +(1.40909 - 1.15199i) q^{44} +(2.88045 - 0.215860i) q^{45} +(-7.01843 + 0.0426316i) q^{46} +(-2.33568 - 2.16719i) q^{47} +(-3.24924 + 2.33291i) q^{48} +(-5.40968 - 4.44245i) q^{49} +(-0.733139 - 4.67135i) q^{50} +(-4.60831 + 4.96657i) q^{51} +(-0.754061 - 4.62122i) q^{52} +(0.936454 + 12.4961i) q^{53} +(1.22043 - 0.714533i) q^{54} +(1.63893 + 2.05515i) q^{55} +(-3.91109 + 6.37992i) q^{56} +(-4.75153 + 5.95823i) q^{57} +(1.27726 - 8.83801i) q^{58} +(3.10938 - 7.92258i) q^{59} +(-3.31207 - 4.73334i) q^{60} +(5.72219 + 0.428819i) q^{61} +(-4.58336 - 0.315491i) q^{62} +(1.58632 - 2.11745i) q^{63} +(7.32944 + 3.20614i) q^{64} +(6.68699 - 1.00790i) q^{65} +(1.16289 + 0.551344i) q^{66} +(-2.42626 + 1.40080i) q^{67} +(13.2463 + 2.85454i) q^{68} +(-2.15331 - 4.47139i) q^{69} +(-9.14498 - 5.76016i) q^{70} +(-1.50026 + 3.11532i) q^{71} +(-2.47485 - 1.36935i) q^{72} +(0.814780 + 0.878125i) q^{73} +(-6.07532 - 4.78482i) q^{74} +(2.76259 - 1.88350i) q^{75} +(15.0980 + 2.08840i) q^{76} +(2.40532 + 0.107275i) q^{77} +(2.72423 - 1.88169i) q^{78} +(-13.4565 - 7.76914i) q^{79} +(-4.75876 + 10.5286i) q^{80} +(0.826239 + 0.563320i) q^{81} +(9.54961 - 3.00931i) q^{82} +(1.65216 + 7.23858i) q^{83} +(-5.26112 - 0.566274i) q^{84} +(-4.35481 + 19.0797i) q^{85} +(0.142954 + 1.76376i) q^{86} +(6.03381 - 1.86119i) q^{87} +(-0.239089 - 2.56282i) q^{88} +(-3.16589 + 10.2636i) q^{89} +(2.02097 - 3.55005i) q^{90} +(3.33301 - 5.22098i) q^{91} +(-5.49133 + 8.26835i) q^{92} +(-1.18684 - 3.02403i) q^{93} +(-4.38687 + 1.02935i) q^{94} +(-3.28087 + 21.7672i) q^{95} +(0.171777 + 5.65425i) q^{96} -14.2125i q^{97} +(-9.48348 + 2.83964i) q^{98} +0.910028i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.789543 1.17330i 0.558291 0.829645i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) −0.753245 1.85273i −0.376622 0.926367i
\(5\) 2.68885 1.05530i 1.20249 0.471943i 0.322334 0.946626i \(-0.395532\pi\)
0.880157 + 0.474683i \(0.157437\pi\)
\(6\) 0.955595 1.04252i 0.390120 0.425605i
\(7\) 0.891718 2.49095i 0.337038 0.941491i
\(8\) −2.76852 0.579034i −0.978821 0.204719i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 0.884789 3.98802i 0.279795 1.26112i
\(11\) 0.268235 + 0.869598i 0.0808760 + 0.262194i 0.986975 0.160871i \(-0.0514304\pi\)
−0.906099 + 0.423065i \(0.860954\pi\)
\(12\) −0.468696 1.94431i −0.135301 0.561273i
\(13\) 2.28247 + 0.520959i 0.633044 + 0.144488i 0.526989 0.849872i \(-0.323321\pi\)
0.106055 + 0.994360i \(0.466178\pi\)
\(14\) −2.21857 3.01296i −0.592938 0.805248i
\(15\) 2.81610 0.642757i 0.727115 0.165959i
\(16\) −2.86524 + 2.79112i −0.716311 + 0.697781i
\(17\) −3.81661 + 5.59793i −0.925663 + 1.35770i 0.00816129 + 0.999967i \(0.497402\pi\)
−0.933824 + 0.357732i \(0.883550\pi\)
\(18\) 1.10030 0.888447i 0.259343 0.209409i
\(19\) −3.81043 + 6.59986i −0.874173 + 1.51411i −0.0165316 + 0.999863i \(0.505262\pi\)
−0.857641 + 0.514248i \(0.828071\pi\)
\(20\) −3.98055 4.18683i −0.890077 0.936204i
\(21\) 1.25302 2.33023i 0.273430 0.508497i
\(22\) 1.23208 + 0.371865i 0.262680 + 0.0792819i
\(23\) −2.79569 4.10052i −0.582941 0.855017i 0.415571 0.909561i \(-0.363582\pi\)
−0.998511 + 0.0545438i \(0.982630\pi\)
\(24\) −2.65130 0.985193i −0.541194 0.201102i
\(25\) 2.45102 2.27421i 0.490203 0.454842i
\(26\) 2.41335 2.26669i 0.473296 0.444535i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) −5.28675 + 0.224179i −0.999102 + 0.0423659i
\(29\) 5.68903 2.73969i 1.05643 0.508748i 0.176717 0.984262i \(-0.443452\pi\)
0.879708 + 0.475514i \(0.157738\pi\)
\(30\) 1.46929 3.81161i 0.268254 0.695901i
\(31\) −1.62430 2.81336i −0.291732 0.505295i 0.682487 0.730897i \(-0.260898\pi\)
−0.974219 + 0.225603i \(0.927565\pi\)
\(32\) 1.01258 + 5.56549i 0.179001 + 0.983849i
\(33\) 0.135633 + 0.899864i 0.0236106 + 0.156646i
\(34\) 3.55466 + 8.89782i 0.609619 + 1.52596i
\(35\) −0.230994 7.63883i −0.0390452 1.29120i
\(36\) −0.173677 1.99244i −0.0289462 0.332074i
\(37\) 0.408644 5.45298i 0.0671807 0.896464i −0.857198 0.514988i \(-0.827797\pi\)
0.924378 0.381477i \(-0.124584\pi\)
\(38\) 4.73509 + 9.68163i 0.768133 + 1.57057i
\(39\) 2.17933 + 0.855325i 0.348973 + 0.136962i
\(40\) −8.05520 + 1.36468i −1.27364 + 0.215774i
\(41\) 5.53532 + 4.41427i 0.864471 + 0.689393i 0.951778 0.306789i \(-0.0992545\pi\)
−0.0873066 + 0.996181i \(0.527826\pi\)
\(42\) −1.74473 3.30997i −0.269218 0.510739i
\(43\) −0.978269 + 0.780143i −0.149185 + 0.118971i −0.695238 0.718780i \(-0.744701\pi\)
0.546053 + 0.837750i \(0.316130\pi\)
\(44\) 1.40909 1.15199i 0.212428 0.173669i
\(45\) 2.88045 0.215860i 0.429392 0.0321785i
\(46\) −7.01843 + 0.0426316i −1.03481 + 0.00628569i
\(47\) −2.33568 2.16719i −0.340693 0.316117i 0.491206 0.871043i \(-0.336556\pi\)
−0.831900 + 0.554926i \(0.812747\pi\)
\(48\) −3.24924 + 2.33291i −0.468987 + 0.336726i
\(49\) −5.40968 4.44245i −0.772811 0.634636i
\(50\) −0.733139 4.67135i −0.103682 0.660629i
\(51\) −4.60831 + 4.96657i −0.645292 + 0.695459i
\(52\) −0.754061 4.62122i −0.104569 0.640848i
\(53\) 0.936454 + 12.4961i 0.128632 + 1.71647i 0.572101 + 0.820183i \(0.306128\pi\)
−0.443470 + 0.896289i \(0.646253\pi\)
\(54\) 1.22043 0.714533i 0.166079 0.0972356i
\(55\) 1.63893 + 2.05515i 0.220993 + 0.277117i
\(56\) −3.91109 + 6.37992i −0.522641 + 0.852553i
\(57\) −4.75153 + 5.95823i −0.629355 + 0.789187i
\(58\) 1.27726 8.83801i 0.167713 1.16049i
\(59\) 3.10938 7.92258i 0.404807 1.03143i −0.572557 0.819865i \(-0.694048\pi\)
0.977364 0.211566i \(-0.0678565\pi\)
\(60\) −3.31207 4.73334i −0.427587 0.611071i
\(61\) 5.72219 + 0.428819i 0.732651 + 0.0549046i 0.435831 0.900029i \(-0.356455\pi\)
0.296821 + 0.954933i \(0.404074\pi\)
\(62\) −4.58336 0.315491i −0.582087 0.0400674i
\(63\) 1.58632 2.11745i 0.199858 0.266773i
\(64\) 7.32944 + 3.20614i 0.916180 + 0.400767i
\(65\) 6.68699 1.00790i 0.829420 0.125015i
\(66\) 1.16289 + 0.551344i 0.143142 + 0.0678657i
\(67\) −2.42626 + 1.40080i −0.296415 + 0.171135i −0.640831 0.767682i \(-0.721410\pi\)
0.344416 + 0.938817i \(0.388077\pi\)
\(68\) 13.2463 + 2.85454i 1.60635 + 0.346164i
\(69\) −2.15331 4.47139i −0.259228 0.538293i
\(70\) −9.14498 5.76016i −1.09303 0.688470i
\(71\) −1.50026 + 3.11532i −0.178048 + 0.369720i −0.970824 0.239792i \(-0.922921\pi\)
0.792776 + 0.609513i \(0.208635\pi\)
\(72\) −2.47485 1.36935i −0.291664 0.161379i
\(73\) 0.814780 + 0.878125i 0.0953628 + 0.102777i 0.778930 0.627111i \(-0.215763\pi\)
−0.683567 + 0.729888i \(0.739572\pi\)
\(74\) −6.07532 4.78482i −0.706241 0.556224i
\(75\) 2.76259 1.88350i 0.318997 0.217488i
\(76\) 15.0980 + 2.08840i 1.73186 + 0.239556i
\(77\) 2.40532 + 0.107275i 0.274111 + 0.0122251i
\(78\) 2.72423 1.88169i 0.308458 0.213059i
\(79\) −13.4565 7.76914i −1.51398 0.874096i −0.999866 0.0163739i \(-0.994788\pi\)
−0.514113 0.857722i \(-0.671879\pi\)
\(80\) −4.75876 + 10.5286i −0.532045 + 1.17713i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 9.54961 3.00931i 1.05458 0.332323i
\(83\) 1.65216 + 7.23858i 0.181348 + 0.794538i 0.980990 + 0.194060i \(0.0621657\pi\)
−0.799642 + 0.600478i \(0.794977\pi\)
\(84\) −5.26112 0.566274i −0.574035 0.0617855i
\(85\) −4.35481 + 19.0797i −0.472345 + 2.06948i
\(86\) 0.142954 + 1.76376i 0.0154151 + 0.190191i
\(87\) 6.03381 1.86119i 0.646893 0.199540i
\(88\) −0.239089 2.56282i −0.0254870 0.273197i
\(89\) −3.16589 + 10.2636i −0.335584 + 1.08794i 0.617840 + 0.786304i \(0.288008\pi\)
−0.953424 + 0.301633i \(0.902468\pi\)
\(90\) 2.02097 3.55005i 0.213029 0.374208i
\(91\) 3.33301 5.22098i 0.349394 0.547307i
\(92\) −5.49133 + 8.26835i −0.572511 + 0.862036i
\(93\) −1.18684 3.02403i −0.123070 0.313577i
\(94\) −4.38687 + 1.02935i −0.452471 + 0.106169i
\(95\) −3.28087 + 21.7672i −0.336611 + 2.23327i
\(96\) 0.171777 + 5.65425i 0.0175319 + 0.577084i
\(97\) 14.2125i 1.44306i −0.692383 0.721530i \(-0.743439\pi\)
0.692383 0.721530i \(-0.256561\pi\)
\(98\) −9.48348 + 2.83964i −0.957976 + 0.286847i
\(99\) 0.910028i 0.0914612i
\(100\) −6.05972 2.82804i −0.605972 0.282804i
\(101\) 2.30479 15.2913i 0.229336 1.52154i −0.517008 0.855981i \(-0.672954\pi\)
0.746343 0.665561i \(-0.231808\pi\)
\(102\) 2.18880 + 9.32823i 0.216724 + 0.923632i
\(103\) 4.09697 + 10.4389i 0.403686 + 1.02858i 0.977752 + 0.209766i \(0.0672703\pi\)
−0.574065 + 0.818809i \(0.694634\pi\)
\(104\) −6.01742 2.76392i −0.590057 0.271024i
\(105\) 0.910094 7.58794i 0.0888161 0.740507i
\(106\) 15.4010 + 8.76747i 1.49588 + 0.851572i
\(107\) −4.98496 + 16.1608i −0.481914 + 1.56233i 0.309408 + 0.950929i \(0.399869\pi\)
−0.791323 + 0.611399i \(0.790607\pi\)
\(108\) 0.125221 1.99608i 0.0120494 0.192073i
\(109\) −8.57895 + 2.64626i −0.821715 + 0.253465i −0.676977 0.736005i \(-0.736710\pi\)
−0.144738 + 0.989470i \(0.546234\pi\)
\(110\) 3.70530 0.300318i 0.353287 0.0286342i
\(111\) 1.21680 5.33117i 0.115494 0.506012i
\(112\) 4.39756 + 9.62608i 0.415531 + 0.909579i
\(113\) 0.936117 + 4.10140i 0.0880624 + 0.385827i 0.999682 0.0252077i \(-0.00802471\pi\)
−0.911620 + 0.411035i \(0.865168\pi\)
\(114\) 3.23923 + 10.2792i 0.303382 + 0.962738i
\(115\) −11.8444 8.07541i −1.10450 0.753036i
\(116\) −9.36115 8.47659i −0.869161 0.787032i
\(117\) 2.02751 + 1.17058i 0.187444 + 0.108221i
\(118\) −6.84053 9.90344i −0.629722 0.911685i
\(119\) 10.5408 + 14.4988i 0.966278 + 1.32910i
\(120\) −8.16863 + 0.148869i −0.745690 + 0.0135898i
\(121\) 8.40438 5.73001i 0.764034 0.520910i
\(122\) 5.02105 6.37525i 0.454584 0.577188i
\(123\) 4.81558 + 5.18996i 0.434206 + 0.467963i
\(124\) −3.98892 + 5.12854i −0.358216 + 0.460556i
\(125\) −2.07597 + 4.31079i −0.185680 + 0.385569i
\(126\) −1.23192 3.53304i −0.109748 0.314748i
\(127\) −3.26436 6.77852i −0.289665 0.601496i 0.704458 0.709745i \(-0.251190\pi\)
−0.994124 + 0.108249i \(0.965476\pi\)
\(128\) 9.54865 6.06822i 0.843990 0.536360i
\(129\) −1.08362 + 0.625626i −0.0954071 + 0.0550833i
\(130\) 4.09710 8.64160i 0.359339 0.757919i
\(131\) 19.8581 2.99313i 1.73501 0.261511i 0.795975 0.605329i \(-0.206958\pi\)
0.939036 + 0.343818i \(0.111720\pi\)
\(132\) 1.56504 0.929109i 0.136220 0.0808685i
\(133\) 13.0421 + 15.3768i 1.13089 + 1.33334i
\(134\) −0.272081 + 3.95271i −0.0235042 + 0.341462i
\(135\) 2.88045 + 0.215860i 0.247910 + 0.0185782i
\(136\) 13.8078 13.2881i 1.18401 1.13944i
\(137\) −0.432023 + 1.10078i −0.0369102 + 0.0940456i −0.948140 0.317852i \(-0.897039\pi\)
0.911230 + 0.411897i \(0.135134\pi\)
\(138\) −6.94640 1.00389i −0.591317 0.0854566i
\(139\) −4.78017 + 5.99414i −0.405449 + 0.508416i −0.942074 0.335404i \(-0.891127\pi\)
0.536626 + 0.843820i \(0.319699\pi\)
\(140\) −13.9787 + 6.18188i −1.18142 + 0.522464i
\(141\) −1.98659 2.49110i −0.167301 0.209788i
\(142\) 2.47067 + 4.21992i 0.207334 + 0.354128i
\(143\) 0.159215 + 2.12457i 0.0133142 + 0.177666i
\(144\) −3.56065 + 1.82258i −0.296721 + 0.151881i
\(145\) 12.4058 13.3702i 1.03024 1.11034i
\(146\) 1.67360 0.262661i 0.138508 0.0217380i
\(147\) −4.68714 5.19911i −0.386589 0.428815i
\(148\) −10.4107 + 3.35032i −0.855757 + 0.275395i
\(149\) 3.83401 + 3.55744i 0.314095 + 0.291437i 0.821428 0.570313i \(-0.193178\pi\)
−0.507333 + 0.861750i \(0.669369\pi\)
\(150\) −0.0287217 4.72844i −0.00234512 0.386076i
\(151\) −0.191220 + 0.0143300i −0.0155613 + 0.00116616i −0.0825085 0.996590i \(-0.526293\pi\)
0.0669472 + 0.997757i \(0.478674\pi\)
\(152\) 14.3708 16.0655i 1.16563 1.30308i
\(153\) −5.29707 + 4.22427i −0.428242 + 0.341512i
\(154\) 2.02496 2.73745i 0.163176 0.220590i
\(155\) −7.33642 5.85060i −0.589276 0.469932i
\(156\) −0.0568812 4.68199i −0.00455414 0.374859i
\(157\) −8.92455 3.50263i −0.712257 0.279540i −0.0185809 0.999827i \(-0.505915\pi\)
−0.693676 + 0.720287i \(0.744010\pi\)
\(158\) −19.7400 + 9.65443i −1.57043 + 0.768065i
\(159\) −0.936454 + 12.4961i −0.0742656 + 0.991006i
\(160\) 8.59592 + 13.8962i 0.679567 + 1.09859i
\(161\) −12.7072 + 3.30741i −1.00146 + 0.260660i
\(162\) 1.31329 0.524657i 0.103182 0.0412209i
\(163\) −2.60851 17.3063i −0.204314 1.35554i −0.822169 0.569244i \(-0.807236\pi\)
0.617854 0.786292i \(-0.288002\pi\)
\(164\) 4.00901 13.5805i 0.313051 1.06046i
\(165\) 1.31432 + 2.27647i 0.102320 + 0.177223i
\(166\) 9.79745 + 3.77670i 0.760429 + 0.293129i
\(167\) 17.9977 8.66722i 1.39270 0.670689i 0.421034 0.907045i \(-0.361667\pi\)
0.971667 + 0.236355i \(0.0759529\pi\)
\(168\) −4.81828 + 5.72575i −0.371739 + 0.441751i
\(169\) −6.77432 3.26234i −0.521101 0.250949i
\(170\) 18.9478 + 20.1737i 1.45323 + 1.54725i
\(171\) −5.58649 + 5.18350i −0.427209 + 0.396392i
\(172\) 2.18227 + 1.22483i 0.166397 + 0.0933926i
\(173\) −3.09959 4.54626i −0.235657 0.345646i 0.690133 0.723682i \(-0.257552\pi\)
−0.925791 + 0.378036i \(0.876599\pi\)
\(174\) 2.58023 8.54893i 0.195607 0.648093i
\(175\) −3.47933 8.13331i −0.263013 0.614821i
\(176\) −3.19572 1.74293i −0.240886 0.131378i
\(177\) 4.25545 7.37066i 0.319859 0.554013i
\(178\) 9.54260 + 11.8181i 0.715248 + 0.885801i
\(179\) 0.0597642 0.0876581i 0.00446699 0.00655187i −0.823999 0.566592i \(-0.808262\pi\)
0.828466 + 0.560040i \(0.189214\pi\)
\(180\) −2.56961 5.17411i −0.191528 0.385655i
\(181\) −8.69754 + 1.98516i −0.646483 + 0.147556i −0.533176 0.846004i \(-0.679002\pi\)
−0.113307 + 0.993560i \(0.536144\pi\)
\(182\) −3.49420 8.03278i −0.259007 0.595430i
\(183\) 5.59437 + 1.27688i 0.413547 + 0.0943895i
\(184\) 5.36558 + 12.9712i 0.395556 + 0.956248i
\(185\) −4.65573 15.0935i −0.342296 1.10970i
\(186\) −4.48514 0.995081i −0.328867 0.0729629i
\(187\) −5.89170 1.81735i −0.430844 0.132898i
\(188\) −2.25589 + 5.95981i −0.164528 + 0.434664i
\(189\) 1.88419 1.85737i 0.137055 0.135104i
\(190\) 22.9489 + 21.0356i 1.66489 + 1.52608i
\(191\) 3.06590 1.20328i 0.221841 0.0870660i −0.251818 0.967775i \(-0.581028\pi\)
0.473658 + 0.880709i \(0.342933\pi\)
\(192\) 6.76973 + 4.26272i 0.488563 + 0.307636i
\(193\) −13.9161 2.09751i −1.00170 0.150982i −0.372341 0.928096i \(-0.621445\pi\)
−0.629360 + 0.777114i \(0.716683\pi\)
\(194\) −16.6755 11.2214i −1.19723 0.805648i
\(195\) 6.76253 0.484275
\(196\) −4.15587 + 13.3689i −0.296848 + 0.954925i
\(197\) 3.33898 0.237892 0.118946 0.992901i \(-0.462048\pi\)
0.118946 + 0.992901i \(0.462048\pi\)
\(198\) 1.06773 + 0.718506i 0.0758804 + 0.0510620i
\(199\) 4.38074 + 0.660290i 0.310542 + 0.0468067i 0.302465 0.953161i \(-0.402191\pi\)
0.00807786 + 0.999967i \(0.497429\pi\)
\(200\) −8.10254 + 4.87698i −0.572936 + 0.344855i
\(201\) −2.60794 + 1.02354i −0.183950 + 0.0721950i
\(202\) −16.1215 14.7773i −1.13430 1.03973i
\(203\) −1.75143 16.6141i −0.122926 1.16608i
\(204\) 12.6729 + 4.79692i 0.887282 + 0.335852i
\(205\) 19.5420 + 6.02791i 1.36487 + 0.421008i
\(206\) 15.4826 + 3.43501i 1.07873 + 0.239328i
\(207\) −1.46283 4.74239i −0.101674 0.329619i
\(208\) −7.99390 + 4.87798i −0.554277 + 0.338227i
\(209\) −6.76132 1.54323i −0.467690 0.106747i
\(210\) −8.18433 7.05881i −0.564773 0.487104i
\(211\) 15.1727 3.46307i 1.04453 0.238407i 0.334367 0.942443i \(-0.391478\pi\)
0.710165 + 0.704036i \(0.248620\pi\)
\(212\) 22.4466 11.1476i 1.54164 0.765622i
\(213\) −1.94782 + 2.85692i −0.133462 + 0.195753i
\(214\) 15.0256 + 18.6085i 1.02713 + 1.27205i
\(215\) −1.80714 + 3.13005i −0.123246 + 0.213468i
\(216\) −2.24312 1.72291i −0.152625 0.117229i
\(217\) −8.45636 + 1.53732i −0.574055 + 0.104360i
\(218\) −3.66861 + 12.1550i −0.248470 + 0.823239i
\(219\) 0.674802 + 0.989753i 0.0455989 + 0.0668813i
\(220\) 2.57313 4.58453i 0.173481 0.309089i
\(221\) −11.6276 + 10.7888i −0.782156 + 0.725735i
\(222\) −5.29432 5.63686i −0.355331 0.378321i
\(223\) 14.8738 + 7.16284i 0.996022 + 0.479659i 0.859587 0.510990i \(-0.170721\pi\)
0.136435 + 0.990649i \(0.456435\pi\)
\(224\) 14.7663 + 2.44056i 0.986615 + 0.163067i
\(225\) 3.01246 1.45072i 0.200831 0.0967149i
\(226\) 5.55125 + 2.13989i 0.369264 + 0.142343i
\(227\) 10.2612 + 17.7729i 0.681059 + 1.17963i 0.974658 + 0.223700i \(0.0718136\pi\)
−0.293599 + 0.955929i \(0.594853\pi\)
\(228\) 14.6181 + 4.31531i 0.968106 + 0.285789i
\(229\) −2.25605 14.9679i −0.149084 0.989107i −0.930815 0.365491i \(-0.880901\pi\)
0.781731 0.623616i \(-0.214337\pi\)
\(230\) −18.8265 + 7.52116i −1.24139 + 0.495931i
\(231\) 2.36246 + 0.464570i 0.155439 + 0.0305665i
\(232\) −17.3366 + 4.29076i −1.13820 + 0.281702i
\(233\) −0.366309 + 4.88806i −0.0239977 + 0.320227i 0.972267 + 0.233874i \(0.0751404\pi\)
−0.996265 + 0.0863531i \(0.972479\pi\)
\(234\) 2.97425 1.45464i 0.194433 0.0950931i
\(235\) −8.56732 3.36242i −0.558870 0.219340i
\(236\) −17.0206 + 0.206781i −1.10794 + 0.0134603i
\(237\) −12.1483 9.68796i −0.789118 0.629300i
\(238\) 25.3338 0.920133i 1.64214 0.0596434i
\(239\) −2.02212 + 1.61258i −0.130800 + 0.104309i −0.686705 0.726937i \(-0.740943\pi\)
0.555905 + 0.831246i \(0.312372\pi\)
\(240\) −6.27481 + 9.70175i −0.405037 + 0.626245i
\(241\) −26.4851 + 1.98479i −1.70606 + 0.127851i −0.891734 0.452559i \(-0.850511\pi\)
−0.814324 + 0.580411i \(0.802892\pi\)
\(242\) −0.0873773 14.3849i −0.00561682 0.924697i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) −3.51572 10.9247i −0.225071 0.699382i
\(245\) −19.2339 6.23629i −1.22881 0.398422i
\(246\) 9.89146 1.55240i 0.630656 0.0989775i
\(247\) −12.1355 + 13.0789i −0.772161 + 0.832191i
\(248\) 2.86787 + 8.72938i 0.182110 + 0.554316i
\(249\) 0.554851 + 7.40397i 0.0351623 + 0.469208i
\(250\) 3.41877 + 5.83928i 0.216222 + 0.369309i
\(251\) −2.39373 3.00164i −0.151091 0.189462i 0.700526 0.713627i \(-0.252949\pi\)
−0.851617 + 0.524165i \(0.824377\pi\)
\(252\) −5.11795 1.34408i −0.322401 0.0846689i
\(253\) 2.81590 3.53103i 0.177034 0.221994i
\(254\) −10.5306 1.52187i −0.660746 0.0954905i
\(255\) −7.14985 + 18.2175i −0.447741 + 1.14082i
\(256\) 0.419257 15.9945i 0.0262035 0.999657i
\(257\) −3.75591 0.281467i −0.234288 0.0175574i −0.0429311 0.999078i \(-0.513670\pi\)
−0.191356 + 0.981521i \(0.561289\pi\)
\(258\) −0.121517 + 1.76536i −0.00756532 + 0.109907i
\(259\) −13.2187 5.88044i −0.821371 0.365392i
\(260\) −6.90432 11.6300i −0.428188 0.721263i
\(261\) 6.24382 0.941104i 0.386483 0.0582529i
\(262\) 12.1670 25.6626i 0.751680 1.58544i
\(263\) −12.3845 + 7.15022i −0.763664 + 0.440901i −0.830610 0.556855i \(-0.812008\pi\)
0.0669459 + 0.997757i \(0.478675\pi\)
\(264\) 0.145549 2.56983i 0.00895795 0.158162i
\(265\) 15.7051 + 32.6119i 0.964756 + 2.00334i
\(266\) 28.3388 3.16159i 1.73757 0.193849i
\(267\) −4.66024 + 9.67709i −0.285202 + 0.592228i
\(268\) 4.42288 + 3.44007i 0.270170 + 0.210136i
\(269\) −7.80360 8.41028i −0.475794 0.512784i 0.448855 0.893605i \(-0.351832\pi\)
−0.924649 + 0.380821i \(0.875641\pi\)
\(270\) 2.52750 3.20919i 0.153819 0.195305i
\(271\) 7.08229 4.82863i 0.430219 0.293318i −0.328785 0.944405i \(-0.606639\pi\)
0.759003 + 0.651087i \(0.225687\pi\)
\(272\) −4.68901 26.6921i −0.284313 1.61844i
\(273\) 4.07392 4.66590i 0.246565 0.282393i
\(274\) 0.950435 + 1.37600i 0.0574179 + 0.0831272i
\(275\) 2.63510 + 1.52137i 0.158902 + 0.0917423i
\(276\) −6.66233 + 7.35756i −0.401025 + 0.442873i
\(277\) −4.71044 3.21152i −0.283023 0.192962i 0.413485 0.910511i \(-0.364311\pi\)
−0.696508 + 0.717549i \(0.745264\pi\)
\(278\) 3.25875 + 10.3412i 0.195447 + 0.620223i
\(279\) −0.722880 3.16714i −0.0432777 0.189612i
\(280\) −3.78363 + 21.2820i −0.226115 + 1.27184i
\(281\) 1.43938 6.30633i 0.0858662 0.376204i −0.913677 0.406442i \(-0.866769\pi\)
0.999543 + 0.0302378i \(0.00962645\pi\)
\(282\) −4.49129 + 0.364022i −0.267452 + 0.0216772i
\(283\) −9.97053 + 3.07550i −0.592687 + 0.182820i −0.576566 0.817050i \(-0.695608\pi\)
−0.0161204 + 0.999870i \(0.505132\pi\)
\(284\) 6.90192 + 0.432982i 0.409554 + 0.0256928i
\(285\) −6.48846 + 21.0351i −0.384343 + 1.24601i
\(286\) 2.61846 + 1.49063i 0.154833 + 0.0881431i
\(287\) 15.9317 9.85192i 0.940416 0.581540i
\(288\) −0.672863 + 5.61669i −0.0396489 + 0.330967i
\(289\) −10.5596 26.9054i −0.621152 1.58267i
\(290\) −5.89235 25.1120i −0.346011 1.47463i
\(291\) 2.11826 14.0538i 0.124175 0.823846i
\(292\) 1.01320 2.17101i 0.0592932 0.127049i
\(293\) 30.9856i 1.81020i −0.425199 0.905100i \(-0.639796\pi\)
0.425199 0.905100i \(-0.360204\pi\)
\(294\) −9.80079 + 1.39449i −0.571593 + 0.0813282i
\(295\) 24.5840i 1.43133i
\(296\) −4.28880 + 14.8601i −0.249282 + 0.863725i
\(297\) −0.135633 + 0.899864i −0.00787020 + 0.0522154i
\(298\) 7.20105 1.68968i 0.417146 0.0978803i
\(299\) −4.24487 10.8158i −0.245487 0.625491i
\(300\) −5.57054 3.69961i −0.321615 0.213597i
\(301\) 1.07096 + 3.13249i 0.0617291 + 0.180554i
\(302\) −0.134163 + 0.235672i −0.00772022 + 0.0135614i
\(303\) 4.55810 14.7770i 0.261856 0.848917i
\(304\) −7.50321 29.5456i −0.430339 1.69456i
\(305\) 15.8387 4.88558i 0.906919 0.279747i
\(306\) 0.774056 + 9.55026i 0.0442499 + 0.545952i
\(307\) 5.57198 24.4125i 0.318010 1.39329i −0.523028 0.852316i \(-0.675198\pi\)
0.841038 0.540977i \(-0.181945\pi\)
\(308\) −1.61304 4.53721i −0.0919115 0.258532i
\(309\) 2.49537 + 10.9329i 0.141957 + 0.621953i
\(310\) −12.6569 + 3.98849i −0.718864 + 0.226531i
\(311\) −6.09584 4.15607i −0.345663 0.235669i 0.378026 0.925795i \(-0.376603\pi\)
−0.723690 + 0.690126i \(0.757555\pi\)
\(312\) −5.53827 3.62990i −0.313543 0.205502i
\(313\) 10.0383 + 5.79562i 0.567399 + 0.327588i 0.756110 0.654445i \(-0.227098\pi\)
−0.188711 + 0.982033i \(0.560431\pi\)
\(314\) −11.1559 + 7.70566i −0.629566 + 0.434856i
\(315\) 2.03085 7.36754i 0.114426 0.415114i
\(316\) −4.25808 + 30.7834i −0.239535 + 1.73170i
\(317\) −26.2418 + 17.8914i −1.47389 + 1.00488i −0.482221 + 0.876050i \(0.660170\pi\)
−0.991667 + 0.128830i \(0.958878\pi\)
\(318\) 13.9223 + 10.9649i 0.780721 + 0.614884i
\(319\) 3.90843 + 4.21228i 0.218830 + 0.235843i
\(320\) 23.0912 + 0.886095i 1.29084 + 0.0495342i
\(321\) −7.33793 + 15.2374i −0.409563 + 0.850467i
\(322\) −6.15227 + 17.5206i −0.342853 + 0.976384i
\(323\) −22.4027 46.5196i −1.24652 2.58842i
\(324\) 0.421322 1.95512i 0.0234068 0.108618i
\(325\) 6.77914 3.91394i 0.376039 0.217106i
\(326\) −22.3650 10.6035i −1.23868 0.587275i
\(327\) −8.87754 + 1.33807i −0.490929 + 0.0739956i
\(328\) −12.7686 15.4261i −0.705030 0.851766i
\(329\) −7.48113 + 3.88553i −0.412448 + 0.214216i
\(330\) 3.70868 + 0.255284i 0.204156 + 0.0140529i
\(331\) −5.21798 0.391033i −0.286806 0.0214931i −0.0694496 0.997585i \(-0.522124\pi\)
−0.217356 + 0.976092i \(0.569743\pi\)
\(332\) 12.1667 8.51343i 0.667734 0.467235i
\(333\) 1.99778 5.09027i 0.109478 0.278945i
\(334\) 4.04072 27.9597i 0.221098 1.52989i
\(335\) −5.04559 + 6.32697i −0.275670 + 0.345679i
\(336\) 2.91375 + 10.1740i 0.158958 + 0.555037i
\(337\) 8.39945 + 10.5326i 0.457547 + 0.573746i 0.956073 0.293129i \(-0.0946965\pi\)
−0.498526 + 0.866875i \(0.666125\pi\)
\(338\) −9.17630 + 5.37252i −0.499125 + 0.292227i
\(339\) 0.314380 + 4.19511i 0.0170748 + 0.227847i
\(340\) 38.6298 6.30336i 2.09499 0.341847i
\(341\) 2.01080 2.16713i 0.108891 0.117357i
\(342\) 1.67101 + 10.6472i 0.0903579 + 0.575734i
\(343\) −15.8898 + 9.51383i −0.857971 + 0.513698i
\(344\) 3.16009 1.59339i 0.170381 0.0859101i
\(345\) −10.5086 9.75054i −0.565763 0.524951i
\(346\) −7.78137 + 0.0472659i −0.418329 + 0.00254103i
\(347\) −26.8621 + 2.01304i −1.44204 + 0.108066i −0.772642 0.634842i \(-0.781065\pi\)
−0.669394 + 0.742908i \(0.733446\pi\)
\(348\) −7.99322 9.77712i −0.428482 0.524109i
\(349\) 15.2921 12.1951i 0.818569 0.652787i −0.121947 0.992537i \(-0.538914\pi\)
0.940516 + 0.339749i \(0.110342\pi\)
\(350\) −12.2899 2.33931i −0.656921 0.125042i
\(351\) 1.83040 + 1.45970i 0.0976995 + 0.0779128i
\(352\) −4.56813 + 2.37340i −0.243482 + 0.126503i
\(353\) −1.72034 0.675185i −0.0915647 0.0359365i 0.319117 0.947715i \(-0.396614\pi\)
−0.410681 + 0.911779i \(0.634709\pi\)
\(354\) −5.28810 10.8124i −0.281059 0.574670i
\(355\) −0.746388 + 9.95985i −0.0396141 + 0.528614i
\(356\) 21.4004 1.86543i 1.13422 0.0988674i
\(357\) 8.26218 + 15.9079i 0.437281 + 0.841933i
\(358\) −0.0556624 0.139331i −0.00294185 0.00736387i
\(359\) −0.223547 1.48314i −0.0117984 0.0782770i 0.982157 0.188064i \(-0.0602212\pi\)
−0.993955 + 0.109787i \(0.964983\pi\)
\(360\) −8.09958 1.07026i −0.426885 0.0564079i
\(361\) −19.5388 33.8421i −1.02836 1.78117i
\(362\) −4.53791 + 11.7722i −0.238507 + 0.618731i
\(363\) 9.16452 4.41340i 0.481013 0.231643i
\(364\) −12.1836 2.24250i −0.638597 0.117539i
\(365\) 3.11751 + 1.50131i 0.163178 + 0.0785823i
\(366\) 5.91515 5.55570i 0.309190 0.290401i
\(367\) −13.2067 + 12.2540i −0.689382 + 0.639653i −0.944979 0.327130i \(-0.893918\pi\)
0.255597 + 0.966783i \(0.417728\pi\)
\(368\) 19.4554 + 3.94588i 1.01418 + 0.205693i
\(369\) 3.98827 + 5.84972i 0.207621 + 0.304524i
\(370\) −21.3850 6.45442i −1.11175 0.335549i
\(371\) 31.9622 + 8.81035i 1.65940 + 0.457410i
\(372\) −4.70874 + 4.47674i −0.244137 + 0.232108i
\(373\) −2.91443 + 5.04793i −0.150903 + 0.261372i −0.931560 0.363588i \(-0.881552\pi\)
0.780657 + 0.624960i \(0.214885\pi\)
\(374\) −6.78404 + 5.47783i −0.350794 + 0.283252i
\(375\) −2.69527 + 3.95324i −0.139183 + 0.204144i
\(376\) 5.21150 + 7.35235i 0.268762 + 0.379169i
\(377\) 14.4123 3.28951i 0.742272 0.169419i
\(378\) −0.691590 3.67719i −0.0355715 0.189134i
\(379\) −31.6215 7.21740i −1.62429 0.370733i −0.689038 0.724725i \(-0.741967\pi\)
−0.935248 + 0.353992i \(0.884824\pi\)
\(380\) 42.8001 10.3174i 2.19560 0.529273i
\(381\) −2.21762 7.18934i −0.113612 0.368321i
\(382\) 1.00886 4.54724i 0.0516177 0.232657i
\(383\) 20.8424 + 6.42904i 1.06500 + 0.328508i 0.777246 0.629197i \(-0.216616\pi\)
0.287752 + 0.957705i \(0.407092\pi\)
\(384\) 10.3464 4.57729i 0.527989 0.233584i
\(385\) 6.58075 2.24988i 0.335386 0.114664i
\(386\) −13.4483 + 14.6716i −0.684503 + 0.746765i
\(387\) −1.16476 + 0.457134i −0.0592080 + 0.0232374i
\(388\) −26.3320 + 10.7055i −1.33680 + 0.543489i
\(389\) 15.4663 + 2.33116i 0.784170 + 0.118195i 0.528910 0.848678i \(-0.322601\pi\)
0.255260 + 0.966872i \(0.417839\pi\)
\(390\) 5.33930 7.93444i 0.270366 0.401776i
\(391\) 33.6245 1.70046
\(392\) 12.4045 + 15.4314i 0.626521 + 0.779404i
\(393\) 20.0824 1.01302
\(394\) 2.63626 3.91761i 0.132813 0.197366i
\(395\) −44.3814 6.68942i −2.23307 0.336581i
\(396\) 1.68604 0.685474i 0.0847267 0.0344463i
\(397\) −12.3446 + 4.84489i −0.619556 + 0.243158i −0.654296 0.756238i \(-0.727035\pi\)
0.0347397 + 0.999396i \(0.488940\pi\)
\(398\) 4.23350 4.61857i 0.212206 0.231508i
\(399\) 10.6046 + 17.1489i 0.530896 + 0.858518i
\(400\) −0.675158 + 13.3573i −0.0337579 + 0.667863i
\(401\) 28.9992 + 8.94507i 1.44815 + 0.446696i 0.916420 0.400217i \(-0.131065\pi\)
0.531731 + 0.846913i \(0.321542\pi\)
\(402\) −0.858164 + 3.86801i −0.0428013 + 0.192919i
\(403\) −2.24176 7.26761i −0.111670 0.362026i
\(404\) −30.0668 + 7.24793i −1.49588 + 0.360598i
\(405\) 2.81610 + 0.642757i 0.139933 + 0.0319389i
\(406\) −20.8761 11.0626i −1.03606 0.549028i
\(407\) 4.85151 1.10733i 0.240481 0.0548881i
\(408\) 15.6340 11.0817i 0.773999 0.548626i
\(409\) 4.53050 6.64502i 0.224019 0.328575i −0.697732 0.716359i \(-0.745807\pi\)
0.921750 + 0.387784i \(0.126760\pi\)
\(410\) 22.5018 18.1693i 1.11128 0.897316i
\(411\) −0.591259 + 1.02409i −0.0291647 + 0.0505147i
\(412\) 16.2545 15.4536i 0.800801 0.761346i
\(413\) −16.9621 14.8100i −0.834648 0.728754i
\(414\) −6.71919 2.02798i −0.330230 0.0996699i
\(415\) 12.0813 + 17.7200i 0.593046 + 0.869839i
\(416\) −0.588209 + 13.2306i −0.0288393 + 0.648683i
\(417\) −5.62016 + 5.21474i −0.275220 + 0.255367i
\(418\) −7.14901 + 6.71458i −0.349669 + 0.328421i
\(419\) 4.60336 + 2.21686i 0.224889 + 0.108301i 0.542936 0.839774i \(-0.317313\pi\)
−0.318047 + 0.948075i \(0.603027\pi\)
\(420\) −14.7439 + 4.02941i −0.719431 + 0.196615i
\(421\) −30.5641 + 14.7189i −1.48960 + 0.717355i −0.988944 0.148289i \(-0.952623\pi\)
−0.500659 + 0.865644i \(0.666909\pi\)
\(422\) 7.91629 20.5363i 0.385359 0.999691i
\(423\) −1.59312 2.75936i −0.0774600 0.134165i
\(424\) 4.64307 35.1380i 0.225488 1.70645i
\(425\) 3.37631 + 22.4004i 0.163775 + 1.08658i
\(426\) 1.81413 + 4.54103i 0.0878949 + 0.220013i
\(427\) 6.17075 13.8713i 0.298623 0.671280i
\(428\) 33.6966 2.93727i 1.62879 0.141978i
\(429\) −0.159215 + 2.12457i −0.00768696 + 0.102575i
\(430\) 2.24567 + 4.59162i 0.108296 + 0.221427i
\(431\) 8.90403 + 3.49458i 0.428892 + 0.168328i 0.569960 0.821672i \(-0.306958\pi\)
−0.141068 + 0.990000i \(0.545054\pi\)
\(432\) −3.79252 + 1.27153i −0.182468 + 0.0611766i
\(433\) 25.1022 + 20.0183i 1.20633 + 0.962020i 0.999865 0.0164333i \(-0.00523113\pi\)
0.206470 + 0.978453i \(0.433803\pi\)
\(434\) −4.87294 + 11.1356i −0.233908 + 0.534525i
\(435\) 14.2599 11.3719i 0.683711 0.545242i
\(436\) 11.3649 + 13.9012i 0.544278 + 0.665748i
\(437\) 37.7156 2.82639i 1.80418 0.135205i
\(438\) 1.69406 0.0102901i 0.0809452 0.000491680i
\(439\) 18.4312 + 17.1016i 0.879671 + 0.816215i 0.983971 0.178331i \(-0.0570697\pi\)
−0.104300 + 0.994546i \(0.533260\pi\)
\(440\) −3.34741 6.63873i −0.159582 0.316489i
\(441\) −3.85990 5.83962i −0.183805 0.278077i
\(442\) 3.47800 + 22.1608i 0.165432 + 1.05408i
\(443\) 10.8706 11.7158i 0.516479 0.556632i −0.419923 0.907560i \(-0.637943\pi\)
0.936403 + 0.350927i \(0.114134\pi\)
\(444\) −10.7938 + 1.76126i −0.512251 + 0.0835857i
\(445\) 2.31850 + 30.9382i 0.109907 + 1.46661i
\(446\) 20.1476 11.7960i 0.954017 0.558556i
\(447\) 3.26098 + 4.08914i 0.154239 + 0.193410i
\(448\) 14.5221 15.3983i 0.686106 0.727502i
\(449\) 21.0358 26.3780i 0.992739 1.24486i 0.0232473 0.999730i \(-0.492599\pi\)
0.969491 0.245125i \(-0.0788291\pi\)
\(450\) 0.676337 4.67991i 0.0318828 0.220613i
\(451\) −2.35387 + 5.99756i −0.110839 + 0.282414i
\(452\) 6.89367 4.82373i 0.324251 0.226889i
\(453\) −0.191220 0.0143300i −0.00898431 0.000673281i
\(454\) 28.9545 + 1.99306i 1.35890 + 0.0935388i
\(455\) 3.45228 17.5557i 0.161845 0.823026i
\(456\) 16.6047 13.7442i 0.777588 0.643631i
\(457\) −6.90905 + 1.04137i −0.323192 + 0.0487133i −0.308635 0.951181i \(-0.599872\pi\)
−0.0145573 + 0.999894i \(0.504634\pi\)
\(458\) −19.3430 9.17078i −0.903840 0.428523i
\(459\) −5.86750 + 3.38760i −0.273871 + 0.158120i
\(460\) −6.03981 + 28.0274i −0.281608 + 1.30678i
\(461\) −15.9247 33.0680i −0.741688 1.54013i −0.838545 0.544832i \(-0.816593\pi\)
0.0968571 0.995298i \(-0.469121\pi\)
\(462\) 2.41034 2.40507i 0.112139 0.111894i
\(463\) −12.6198 + 26.2054i −0.586494 + 1.21787i 0.370790 + 0.928717i \(0.379087\pi\)
−0.957284 + 0.289150i \(0.906627\pi\)
\(464\) −8.65364 + 23.7287i −0.401735 + 1.10158i
\(465\) −6.38249 6.87869i −0.295981 0.318992i
\(466\) 5.44592 + 4.28912i 0.252277 + 0.198690i
\(467\) 12.8582 8.76655i 0.595005 0.405668i −0.228033 0.973653i \(-0.573229\pi\)
0.823038 + 0.567986i \(0.192277\pi\)
\(468\) 0.641569 4.63818i 0.0296565 0.214400i
\(469\) 1.32579 + 7.29282i 0.0612193 + 0.336751i
\(470\) −10.7094 + 7.39722i −0.493987 + 0.341208i
\(471\) −8.30284 4.79364i −0.382574 0.220879i
\(472\) −13.1958 + 20.1334i −0.607388 + 0.926715i
\(473\) −0.940817 0.641438i −0.0432588 0.0294934i
\(474\) −20.9584 + 6.60451i −0.962653 + 0.303355i
\(475\) 5.67004 + 24.8421i 0.260159 + 1.13983i
\(476\) 18.9225 30.4505i 0.867312 1.39570i
\(477\) −2.78844 + 12.2170i −0.127674 + 0.559376i
\(478\) 0.295491 + 3.64575i 0.0135154 + 0.166753i
\(479\) −27.9533 + 8.62246i −1.27722 + 0.393970i −0.857876 0.513857i \(-0.828216\pi\)
−0.419344 + 0.907827i \(0.637740\pi\)
\(480\) 6.42879 + 15.0222i 0.293433 + 0.685664i
\(481\) 3.77350 12.2334i 0.172057 0.557794i
\(482\) −18.5824 + 32.6420i −0.846406 + 1.48680i
\(483\) −13.0582 + 1.37657i −0.594167 + 0.0626360i
\(484\) −16.9467 11.2550i −0.770306 0.511590i
\(485\) −14.9984 38.2153i −0.681042 1.73527i
\(486\) 1.37682 0.323061i 0.0624538 0.0146543i
\(487\) −2.52070 + 16.7238i −0.114224 + 0.757827i 0.856239 + 0.516579i \(0.172795\pi\)
−0.970464 + 0.241248i \(0.922443\pi\)
\(488\) −15.5937 4.50054i −0.705894 0.203730i
\(489\) 17.5018i 0.791459i
\(490\) −22.5030 + 17.6433i −1.01658 + 0.797042i
\(491\) 0.660501i 0.0298080i −0.999889 0.0149040i \(-0.995256\pi\)
0.999889 0.0149040i \(-0.00474427\pi\)
\(492\) 5.98830 12.8313i 0.269974 0.578479i
\(493\) −6.37617 + 42.3031i −0.287168 + 1.90524i
\(494\) 5.76397 + 24.5648i 0.259333 + 1.10522i
\(495\) 0.960349 + 2.44693i 0.0431645 + 0.109981i
\(496\) 12.5064 + 3.52736i 0.561556 + 0.158383i
\(497\) 6.42230 + 6.51506i 0.288080 + 0.292240i
\(498\) 9.12513 + 5.19475i 0.408907 + 0.232782i
\(499\) 6.47504 20.9916i 0.289862 0.939711i −0.687148 0.726518i \(-0.741137\pi\)
0.977010 0.213193i \(-0.0683864\pi\)
\(500\) 9.55047 + 0.599135i 0.427110 + 0.0267941i
\(501\) 19.0884 5.88800i 0.852808 0.263056i
\(502\) −5.41176 + 0.438627i −0.241539 + 0.0195769i
\(503\) −2.94303 + 12.8943i −0.131223 + 0.574927i 0.865973 + 0.500091i \(0.166700\pi\)
−0.997196 + 0.0748353i \(0.976157\pi\)
\(504\) −5.61784 + 4.94367i −0.250239 + 0.220208i
\(505\) −9.93962 43.5483i −0.442307 1.93787i
\(506\) −1.91966 6.09178i −0.0853395 0.270813i
\(507\) −6.21243 4.23556i −0.275904 0.188108i
\(508\) −10.0999 + 11.1539i −0.448112 + 0.494873i
\(509\) −17.8365 10.2979i −0.790590 0.456448i 0.0495799 0.998770i \(-0.484212\pi\)
−0.840170 + 0.542323i \(0.817545\pi\)
\(510\) 15.7294 + 22.7724i 0.696510 + 1.00838i
\(511\) 2.91392 1.24654i 0.128904 0.0551436i
\(512\) −18.4353 13.1203i −0.814731 0.579839i
\(513\) −6.29665 + 4.29298i −0.278004 + 0.189540i
\(514\) −3.29570 + 4.18457i −0.145367 + 0.184573i
\(515\) 22.0323 + 23.7451i 0.970858 + 1.04634i
\(516\) 1.97535 + 1.53640i 0.0869598 + 0.0676364i
\(517\) 1.25807 2.61242i 0.0553300 0.114894i
\(518\) −17.3362 + 10.8666i −0.761710 + 0.477451i
\(519\) −2.38738 4.95745i −0.104795 0.217608i
\(520\) −19.0967 1.08160i −0.837446 0.0474311i
\(521\) −13.8507 + 7.99669i −0.606809 + 0.350341i −0.771715 0.635968i \(-0.780601\pi\)
0.164907 + 0.986309i \(0.447268\pi\)
\(522\) 3.82557 8.06888i 0.167441 0.353165i
\(523\) 22.0813 3.32822i 0.965549 0.145533i 0.352703 0.935735i \(-0.385263\pi\)
0.612846 + 0.790202i \(0.290025\pi\)
\(524\) −20.5035 34.5372i −0.895699 1.50877i
\(525\) −2.22826 8.56104i −0.0972493 0.373634i
\(526\) −1.38881 + 20.1761i −0.0605548 + 0.879721i
\(527\) 21.9483 + 1.64480i 0.956084 + 0.0716486i
\(528\) −2.90025 2.19976i −0.126217 0.0957324i
\(529\) −0.595545 + 1.51742i −0.0258932 + 0.0659749i
\(530\) 50.6633 + 7.32182i 2.20067 + 0.318039i
\(531\) 5.30646 6.65409i 0.230281 0.288763i
\(532\) 18.6652 35.7460i 0.809241 1.54979i
\(533\) 10.3345 + 12.9591i 0.447639 + 0.561321i
\(534\) 7.67463 + 13.1083i 0.332114 + 0.567252i
\(535\) 3.65066 + 48.7147i 0.157832 + 2.10612i
\(536\) 7.52827 2.47327i 0.325172 0.106829i
\(537\) 0.0721615 0.0777716i 0.00311400 0.00335609i
\(538\) −16.0290 + 2.51565i −0.691060 + 0.108457i
\(539\) 2.41208 5.89587i 0.103896 0.253953i
\(540\) −1.76975 5.49930i −0.0761580 0.236652i
\(541\) 18.7496 + 17.3971i 0.806108 + 0.747959i 0.971186 0.238322i \(-0.0765973\pi\)
−0.165079 + 0.986280i \(0.552788\pi\)
\(542\) −0.0736320 12.1220i −0.00316277 0.520686i
\(543\) −8.89627 + 0.666683i −0.381776 + 0.0286101i
\(544\) −35.0199 15.5729i −1.50146 0.667684i
\(545\) −20.2749 + 16.1687i −0.868483 + 0.692592i
\(546\) −2.25795 8.46385i −0.0966312 0.362219i
\(547\) −6.06691 4.83820i −0.259403 0.206867i 0.485149 0.874431i \(-0.338765\pi\)
−0.744552 + 0.667565i \(0.767337\pi\)
\(548\) 2.36486 0.0287305i 0.101022 0.00122731i
\(549\) 5.34157 + 2.09641i 0.227973 + 0.0894727i
\(550\) 3.86554 1.89056i 0.164827 0.0806136i
\(551\) −3.59607 + 47.9862i −0.153198 + 2.04428i
\(552\) 3.37240 + 13.6260i 0.143539 + 0.579961i
\(553\) −31.3520 + 26.5917i −1.33322 + 1.13079i
\(554\) −7.48716 + 2.99110i −0.318099 + 0.127080i
\(555\) −2.35416 15.6188i −0.0999284 0.662982i
\(556\) 14.7062 + 4.34132i 0.623681 + 0.184113i
\(557\) −13.2564 22.9607i −0.561690 0.972876i −0.997349 0.0727640i \(-0.976818\pi\)
0.435659 0.900112i \(-0.356515\pi\)
\(558\) −4.28674 1.65244i −0.181472 0.0699535i
\(559\) −2.63929 + 1.27102i −0.111630 + 0.0537583i
\(560\) 21.9828 + 21.2424i 0.928941 + 0.897654i
\(561\) −5.55503 2.67516i −0.234534 0.112945i
\(562\) −6.26274 6.66794i −0.264178 0.281270i
\(563\) 24.0345 22.3008i 1.01293 0.939866i 0.0147375 0.999891i \(-0.495309\pi\)
0.998197 + 0.0600257i \(0.0191183\pi\)
\(564\) −3.11896 + 5.55702i −0.131332 + 0.233993i
\(565\) 6.84527 + 10.0402i 0.287983 + 0.422393i
\(566\) −4.26369 + 14.1266i −0.179216 + 0.593786i
\(567\) 2.13998 1.55580i 0.0898705 0.0653374i
\(568\) 5.95738 7.75613i 0.249966 0.325440i
\(569\) −8.41066 + 14.5677i −0.352593 + 0.610709i −0.986703 0.162534i \(-0.948033\pi\)
0.634110 + 0.773243i \(0.281367\pi\)
\(570\) 19.5574 + 24.2210i 0.819171 + 1.01450i
\(571\) −4.88705 + 7.16798i −0.204517 + 0.299971i −0.914770 0.403976i \(-0.867628\pi\)
0.710253 + 0.703946i \(0.248580\pi\)
\(572\) 3.81634 1.89530i 0.159569 0.0792467i
\(573\) 3.21099 0.732888i 0.134141 0.0306169i
\(574\) 1.01952 26.4711i 0.0425538 1.10488i
\(575\) −16.1777 3.69246i −0.674657 0.153986i
\(576\) 6.05879 + 5.22409i 0.252449 + 0.217670i
\(577\) 7.32470 + 23.7461i 0.304931 + 0.988563i 0.970271 + 0.242022i \(0.0778106\pi\)
−0.665339 + 0.746541i \(0.731713\pi\)
\(578\) −39.9052 8.85343i −1.65984 0.368254i
\(579\) −13.4480 4.14817i −0.558881 0.172392i
\(580\) −34.1161 12.9135i −1.41659 0.536205i
\(581\) 19.5042 + 2.33933i 0.809171 + 0.0970517i
\(582\) −14.8168 13.5814i −0.614174 0.562967i
\(583\) −10.6154 + 4.16624i −0.439645 + 0.172548i
\(584\) −1.74727 2.90289i −0.0723027 0.120123i
\(585\) 6.68699 + 1.00790i 0.276473 + 0.0416716i
\(586\) −36.3553 24.4645i −1.50182 1.01062i
\(587\) −19.8904 −0.820964 −0.410482 0.911869i \(-0.634640\pi\)
−0.410482 + 0.911869i \(0.634640\pi\)
\(588\) −6.10199 + 12.6002i −0.251642 + 0.519625i
\(589\) 24.7571 1.02010
\(590\) −28.8442 19.4101i −1.18750 0.799101i
\(591\) 3.30168 + 0.497649i 0.135813 + 0.0204705i
\(592\) 14.0491 + 16.7647i 0.577413 + 0.689025i
\(593\) −6.60290 + 2.59145i −0.271149 + 0.106418i −0.497020 0.867739i \(-0.665572\pi\)
0.225871 + 0.974157i \(0.427477\pi\)
\(594\) 0.948718 + 0.869618i 0.0389264 + 0.0356808i
\(595\) 43.6433 + 27.8613i 1.78920 + 1.14220i
\(596\) 3.70305 9.78303i 0.151683 0.400729i
\(597\) 4.23340 + 1.30583i 0.173261 + 0.0534441i
\(598\) −16.0416 3.55901i −0.655989 0.145539i
\(599\) −0.313553 1.01651i −0.0128114 0.0415336i 0.948941 0.315452i \(-0.102156\pi\)
−0.961753 + 0.273919i \(0.911680\pi\)
\(600\) −8.73891 + 3.61489i −0.356765 + 0.147577i
\(601\) 4.53709 + 1.03556i 0.185072 + 0.0422414i 0.314052 0.949406i \(-0.398313\pi\)
−0.128981 + 0.991647i \(0.541170\pi\)
\(602\) 4.52090 + 1.21668i 0.184258 + 0.0495882i
\(603\) −2.73136 + 0.623416i −0.111230 + 0.0253874i
\(604\) 0.170585 + 0.343486i 0.00694101 + 0.0139762i
\(605\) 16.5513 24.2763i 0.672905 0.986970i
\(606\) −13.7390 17.0151i −0.558108 0.691190i
\(607\) −6.01703 + 10.4218i −0.244224 + 0.423008i −0.961913 0.273356i \(-0.911866\pi\)
0.717689 + 0.696363i \(0.245200\pi\)
\(608\) −40.5898 14.5240i −1.64613 0.589027i
\(609\) 0.744340 16.6896i 0.0301622 0.676296i
\(610\) 6.77307 22.4408i 0.274234 0.908601i
\(611\) −4.20210 6.16334i −0.169999 0.249342i
\(612\) 11.8164 + 6.63214i 0.477651 + 0.268089i
\(613\) 30.4716 28.2735i 1.23074 1.14196i 0.245748 0.969334i \(-0.420967\pi\)
0.984988 0.172622i \(-0.0552239\pi\)
\(614\) −24.2437 25.8123i −0.978396 1.04170i
\(615\) 18.4253 + 8.87317i 0.742981 + 0.357801i
\(616\) −6.59706 1.68975i −0.265803 0.0680821i
\(617\) 8.53932 4.11232i 0.343780 0.165556i −0.254024 0.967198i \(-0.581754\pi\)
0.597804 + 0.801642i \(0.296040\pi\)
\(618\) 14.7978 + 5.70421i 0.595253 + 0.229457i
\(619\) −4.70578 8.15066i −0.189141 0.327603i 0.755823 0.654776i \(-0.227237\pi\)
−0.944964 + 0.327174i \(0.893904\pi\)
\(620\) −5.31349 + 17.9994i −0.213395 + 0.722872i
\(621\) −0.739678 4.90744i −0.0296822 0.196929i
\(622\) −9.68923 + 3.87082i −0.388503 + 0.155206i
\(623\) 22.7430 + 17.0383i 0.911179 + 0.682625i
\(624\) −8.63164 + 3.63207i −0.345542 + 0.145399i
\(625\) −2.28214 + 30.4530i −0.0912854 + 1.21812i
\(626\) 14.7257 7.20202i 0.588556 0.287850i
\(627\) −6.45579 2.53371i −0.257819 0.101187i
\(628\) 0.232933 + 19.1732i 0.00929505 + 0.765092i
\(629\) 28.9658 + 23.0994i 1.15494 + 0.921035i
\(630\) −7.04086 8.19978i −0.280515 0.326687i
\(631\) 29.4000 23.4457i 1.17040 0.933360i 0.171738 0.985143i \(-0.445062\pi\)
0.998658 + 0.0517822i \(0.0164902\pi\)
\(632\) 32.7561 + 29.3008i 1.30297 + 1.16552i
\(633\) 15.5194 1.16302i 0.616840 0.0462257i
\(634\) 0.272827 + 44.9154i 0.0108353 + 1.78382i
\(635\) −15.9307 14.7816i −0.632192 0.586589i
\(636\) 23.8573 7.67763i 0.946005 0.304438i
\(637\) −10.0331 12.9580i −0.397526 0.513414i
\(638\) 8.02812 1.25996i 0.317836 0.0498824i
\(639\) −2.35186 + 2.53471i −0.0930383 + 0.100271i
\(640\) 19.2711 26.3932i 0.761759 1.04328i
\(641\) 2.47986 + 33.0914i 0.0979486 + 1.30703i 0.802188 + 0.597071i \(0.203669\pi\)
−0.704240 + 0.709962i \(0.748712\pi\)
\(642\) 12.0843 + 20.6401i 0.476930 + 0.814600i
\(643\) −30.1969 37.8657i −1.19085 1.49328i −0.827355 0.561679i \(-0.810156\pi\)
−0.363493 0.931597i \(-0.618416\pi\)
\(644\) 15.6993 + 21.0517i 0.618641 + 0.829553i
\(645\) −2.25346 + 2.82575i −0.0887300 + 0.111264i
\(646\) −72.2691 10.4443i −2.84339 0.410924i
\(647\) 2.91931 7.43828i 0.114770 0.292429i −0.861934 0.507021i \(-0.830747\pi\)
0.976704 + 0.214592i \(0.0688421\pi\)
\(648\) −1.96128 2.03798i −0.0770463 0.0800596i
\(649\) 7.72350 + 0.578796i 0.303174 + 0.0227197i
\(650\) 0.760215 11.0442i 0.0298181 0.433188i
\(651\) −8.59104 + 0.259789i −0.336709 + 0.0101819i
\(652\) −30.0992 + 17.8688i −1.17877 + 0.699795i
\(653\) −44.2586 + 6.67090i −1.73197 + 0.261053i −0.937933 0.346816i \(-0.887263\pi\)
−0.794038 + 0.607868i \(0.792025\pi\)
\(654\) −5.43924 + 11.4724i −0.212691 + 0.448608i
\(655\) 50.2369 29.0043i 1.96292 1.13329i
\(656\) −28.1808 + 2.80179i −1.10028 + 0.109392i
\(657\) 0.519750 + 1.07927i 0.0202774 + 0.0421064i
\(658\) −1.34780 + 11.8454i −0.0525425 + 0.461781i
\(659\) 0.331214 0.687772i 0.0129022 0.0267918i −0.894418 0.447232i \(-0.852410\pi\)
0.907320 + 0.420440i \(0.138124\pi\)
\(660\) 3.22768 4.14982i 0.125637 0.161532i
\(661\) 1.78549 + 1.92430i 0.0694476 + 0.0748467i 0.766820 0.641862i \(-0.221838\pi\)
−0.697372 + 0.716709i \(0.745648\pi\)
\(662\) −4.57861 + 5.81349i −0.177953 + 0.225948i
\(663\) −13.1057 + 8.93532i −0.508984 + 0.347019i
\(664\) −0.382657 20.9968i −0.0148500 0.814835i
\(665\) 51.2954 + 27.5827i 1.98915 + 1.06961i
\(666\) −4.39506 6.36298i −0.170305 0.246560i
\(667\) −27.1389 15.6686i −1.05082 0.606692i
\(668\) −29.6147 26.8163i −1.14583 1.03756i
\(669\) 13.6401 + 9.29965i 0.527356 + 0.359545i
\(670\) 3.43970 + 10.9154i 0.132887 + 0.421698i
\(671\) 1.16199 + 5.09103i 0.0448583 + 0.196537i
\(672\) 14.2376 + 4.61411i 0.549228 + 0.177993i
\(673\) 10.0509 44.0361i 0.387436 1.69747i −0.286008 0.958227i \(-0.592328\pi\)
0.673444 0.739239i \(-0.264814\pi\)
\(674\) 18.9895 1.53912i 0.731450 0.0592846i
\(675\) 3.19503 0.985537i 0.122977 0.0379333i
\(676\) −0.941528 + 15.0083i −0.0362126 + 0.577244i
\(677\) −3.82311 + 12.3942i −0.146934 + 0.476349i −0.998882 0.0472781i \(-0.984945\pi\)
0.851948 + 0.523627i \(0.175421\pi\)
\(678\) 5.17032 + 2.94336i 0.198565 + 0.113039i
\(679\) −35.4026 12.6735i −1.35863 0.486366i
\(680\) 23.1042 50.3009i 0.886004 1.92895i
\(681\) 7.49767 + 19.1037i 0.287311 + 0.732057i
\(682\) −0.955068 4.07030i −0.0365714 0.155860i
\(683\) −5.18171 + 34.3784i −0.198273 + 1.31545i 0.639228 + 0.769017i \(0.279254\pi\)
−0.837501 + 0.546436i \(0.815984\pi\)
\(684\) 13.8116 + 6.44583i 0.528101 + 0.246462i
\(685\) 3.41573i 0.130509i
\(686\) −1.38318 + 26.1551i −0.0528100 + 0.998605i
\(687\) 15.1370i 0.577511i
\(688\) 0.625503 4.96577i 0.0238471 0.189318i
\(689\) −4.37253 + 29.0099i −0.166580 + 1.10519i
\(690\) −19.7372 + 4.63120i −0.751384 + 0.176307i
\(691\) 11.6698 + 29.7342i 0.443941 + 1.13114i 0.961331 + 0.275394i \(0.0888084\pi\)
−0.517390 + 0.855750i \(0.673096\pi\)
\(692\) −6.08826 + 9.16716i −0.231441 + 0.348483i
\(693\) 2.26683 + 0.811488i 0.0861099 + 0.0308259i
\(694\) −18.8469 + 33.1066i −0.715419 + 1.25671i
\(695\) −6.52757 + 21.1619i −0.247605 + 0.802715i
\(696\) −17.7824 + 1.65895i −0.674042 + 0.0628824i
\(697\) −45.8369 + 14.1388i −1.73620 + 0.535546i
\(698\) −2.23463 27.5707i −0.0845819 1.04357i
\(699\) −1.09074 + 4.77886i −0.0412558 + 0.180753i
\(700\) −12.4481 + 12.5726i −0.470493 + 0.475201i
\(701\) 5.15988 + 22.6069i 0.194886 + 0.853851i 0.973924 + 0.226874i \(0.0728507\pi\)
−0.779038 + 0.626976i \(0.784292\pi\)
\(702\) 3.15783 0.995108i 0.119185 0.0375579i
\(703\) 34.4318 + 23.4752i 1.29862 + 0.885384i
\(704\) −0.822034 + 7.23366i −0.0309816 + 0.272629i
\(705\) −7.97048 4.60176i −0.300186 0.173312i
\(706\) −2.15048 + 1.48538i −0.0809343 + 0.0559032i
\(707\) −36.0347 19.3767i −1.35522 0.728735i
\(708\) −16.8613 2.33231i −0.633685 0.0876536i
\(709\) 23.6975 16.1567i 0.889978 0.606777i −0.0296530 0.999560i \(-0.509440\pi\)
0.919631 + 0.392784i \(0.128488\pi\)
\(710\) 11.0965 + 8.73946i 0.416446 + 0.327986i
\(711\) −10.5687 11.3904i −0.396358 0.427172i
\(712\) 14.7078 26.5818i 0.551199 0.996195i
\(713\) −6.99522 + 14.5257i −0.261973 + 0.543993i
\(714\) 25.1880 + 2.86595i 0.942636 + 0.107255i
\(715\) 2.67016 + 5.54464i 0.0998583 + 0.207358i
\(716\) −0.207424 0.0446993i −0.00775180 0.00167049i
\(717\) −2.23988 + 1.29319i −0.0836497 + 0.0482952i
\(718\) −1.91666 0.908714i −0.0715291 0.0339129i
\(719\) 13.2959 2.00404i 0.495855 0.0747381i 0.103646 0.994614i \(-0.466949\pi\)
0.392209 + 0.919876i \(0.371711\pi\)
\(720\) −7.65070 + 8.65818i −0.285125 + 0.322671i
\(721\) 29.6561 0.896787i 1.10445 0.0333981i
\(722\) −55.1335 3.79507i −2.05186 0.141238i
\(723\) −26.4851 1.98479i −0.984993 0.0738150i
\(724\) 10.2293 + 14.6189i 0.380171 + 0.543308i
\(725\) 7.71326 19.6531i 0.286463 0.729896i
\(726\) 2.05756 14.2373i 0.0763631 0.528394i
\(727\) 3.74755 4.69927i 0.138989 0.174286i −0.707465 0.706748i \(-0.750161\pi\)
0.846454 + 0.532462i \(0.178733\pi\)
\(728\) −12.2506 + 12.5245i −0.454038 + 0.464188i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 4.22289 2.47241i 0.156296 0.0915079i
\(731\) −0.633524 8.45379i −0.0234317 0.312675i
\(732\) −1.84821 11.3267i −0.0683119 0.418646i
\(733\) 25.1666 27.1232i 0.929550 1.00182i −0.0704403 0.997516i \(-0.522440\pi\)
0.999991 0.00430111i \(-0.00136909\pi\)
\(734\) 3.95033 + 25.1704i 0.145809 + 0.929055i
\(735\) −18.0896 9.03330i −0.667246 0.333198i
\(736\) 19.9905 19.7115i 0.736861 0.726574i
\(737\) −1.86894 1.73413i −0.0688434 0.0638773i
\(738\) 10.0124 0.0608174i 0.368560 0.00223872i
\(739\) 38.2715 2.86805i 1.40784 0.105503i 0.650988 0.759088i \(-0.274355\pi\)
0.756853 + 0.653585i \(0.226736\pi\)
\(740\) −24.4573 + 19.9949i −0.899069 + 0.735028i
\(741\) −13.9492 + 11.1241i −0.512438 + 0.408655i
\(742\) 35.5727 30.5450i 1.30591 1.12134i
\(743\) 22.9220 + 18.2797i 0.840927 + 0.670617i 0.946113 0.323836i \(-0.104973\pi\)
−0.105187 + 0.994453i \(0.533544\pi\)
\(744\) 1.53479 + 9.05932i 0.0562681 + 0.332131i
\(745\) 14.0633 + 5.51942i 0.515238 + 0.202216i
\(746\) 3.62165 + 7.40504i 0.132598 + 0.271118i
\(747\) −0.554851 + 7.40397i −0.0203009 + 0.270897i
\(748\) 1.07083 + 12.2847i 0.0391534 + 0.449172i
\(749\) 35.8107 + 26.8282i 1.30849 + 0.980282i
\(750\) 2.51028 + 6.28360i 0.0916626 + 0.229445i
\(751\) −0.649413 4.30858i −0.0236974 0.157222i 0.973852 0.227182i \(-0.0729511\pi\)
−0.997550 + 0.0699595i \(0.977713\pi\)
\(752\) 12.7412 0.309629i 0.464623 0.0112910i
\(753\) −1.91962 3.32488i −0.0699549 0.121165i
\(754\) 7.51956 19.5071i 0.273846 0.710407i
\(755\) −0.499040 + 0.240325i −0.0181619 + 0.00874633i
\(756\) −4.86047 2.09186i −0.176773 0.0760801i
\(757\) −40.0427 19.2836i −1.45538 0.700873i −0.471858 0.881674i \(-0.656417\pi\)
−0.983520 + 0.180802i \(0.942131\pi\)
\(758\) −33.4347 + 31.4029i −1.21440 + 1.14060i
\(759\) 3.31072 3.07190i 0.120172 0.111503i
\(760\) 21.6871 58.3632i 0.786674 2.11706i
\(761\) 26.4849 + 38.8462i 0.960078 + 1.40818i 0.912394 + 0.409313i \(0.134231\pi\)
0.0476834 + 0.998862i \(0.484816\pi\)
\(762\) −10.1861 3.07437i −0.369004 0.111373i
\(763\) −1.05831 + 23.7295i −0.0383135 + 0.859064i
\(764\) −4.53872 4.77393i −0.164205 0.172715i
\(765\) −9.78517 + 16.9484i −0.353784 + 0.612771i
\(766\) 23.9991 19.3783i 0.867124 0.700167i
\(767\) 11.2244 16.4632i 0.405290 0.594451i
\(768\) 2.79843 15.7534i 0.100980 0.568451i
\(769\) 41.1947 9.40242i 1.48552 0.339060i 0.598623 0.801031i \(-0.295715\pi\)
0.886895 + 0.461971i \(0.152858\pi\)
\(770\) 2.55601 9.49753i 0.0921122 0.342267i
\(771\) −3.67201 0.838113i